## Direct stiffness method nptel

direct stiffness method nptel Apr 07, 2021 - Lesson 24: The Direct Stiffness Method: Truss Analysis - Notes, Engineering, Semester Notes | EduRev is made by best teachers of . Test Method D1586 (and last revised in 1984). increase the stiffness of the wall or to carry a vertical concentrated load. Starting from an analogy between a truss framework and a FSAE steel tube frame, Christoph explains the basics of the direct stiffness method using an introductory example of a 3-truss framework. 6 Design Recommendations, 165 7. Yadav, Arvind K. 4. An Introduction to the Finite Element Method, 3rd Edition The finite element method is the most widely used method for solving problems of engineering and mathematical models. Preface vii Acknowledgement ix Part I: Fundamentals Structure 1 (1) Structural Analysis 1 (3) Structure 4 (1) Structural System 5 (1) Structural Idealisation 5 (2) Structural Elements 7 (11) Joints and Internal Stability 18 (9) Supports and External Stability 27 (7) Redundancy and Static Indeterminacy 34 (8) Overall Stability and Static Indeterminacy 42 (3) Kinematic Indeterminacy 45 (2 2. Deflection of Beams 13. BEAMS: STATICALLY INDETERMINATE (9. static& kinematic indeterminacy Stiffness Method for Frame Structures For frame problems (with possibly inclined beam elements), the stiffness method can be used to solve the problem by transforming element stiffness matrices from the LOCAL to GLOBAL coordinates. Hi everyone in this video you can learn about how to identify the DOKI and determination of angles at roller, hinge or point Support by using the stiffness m Assembling the Global Stiffness Matrix from the Element Stiffness Matrices Although it isn’t apparent for the simple two-spring model above, generating the global stiffness matrix (directly) for a complex system of springs is impractical. It is a method for rapid determination of water content from the gas We will now solve this problem by double integration method, for that at first we have to calculate (M x). ppt / . 1 Direct Methods 4. Least Squares method. 6. Limitations: 1. These Shear force, beam, FBD, method of analysis, equation of equilibrium: 2 days: Chapter 4: Bending stress and shear stress: Pure bending moment, direct shear stress: 2 days: Chapter 5: Pure torsion: Pure torsion, composite shafts, springs: 2 days: Chapter 6: Combined stress and strain: Different stress and strains, combined stress and strain: 3 Modules / Lectures : Introduction to different types of ocean structures ; Types of Compliant towers ; New Generation offshore and Coastal structures ; Environmental forces ; Wave forces, Current ; Introduction to Structural dynamics ; Characteristics of single degree - of- freedom model ; Methods of writing equation of motion ; Free and forced vibration of single degree - of - freedom systems Nptel. There exist a wide variety of fibers with widely ranging properties; Figure 1. The Galerkin method – one of the many possible finite element method formulations – can be used for discretization. Rules for calculating the strength, stiffness and deformation capacity of each component are given in prEN 1993-1-8. 7. [4] . Method of Analysis . Formulation of elemental/local stiffness matrix and global stiffness matrix for plane truss. Direct Stiffness Analysis Handouts, Chapter 17 (K) 1 & 2 . 4. • The effect of the gusset thickness, and hence the out of plane stiffness of the end connection, on the ultimate tensile strength is not significant. Use it at your own risk. Fluid dynamics. 2. Thick cylinders and Sphere 19. First, the discretization implies looking for an approximate solution to Eq. Alternate design bolt installation: In this method special bolts are used which indicate the bolt tension. 7. Damped Free Vibrations: Viscous damping, laws of damping, logarithmic decrement. A generalization of the direct-stiffness method of structural analysis. Sharma, “A direct numerical approach to compute the nonlinear rotordynamic coefficient of the non-circular gas journal Bearing”, ‘IMechE Part-J, Journal of Engineering Tribology’, 232. Kenney 2. Recent research Self- learning such as use of NPTEL materials and internets Simulation Course Outcome (CO) Attainment Assessment tools & Evaluation procedure Direct Assessment Assessment Tool % Contribution during CO Assessment Progressive Evaluation 60 End Sem Examination 40 Assessment Components CO1 CO2 CO3 CO4 CO5 In materials science, quenching is the rapid cooling of a workpiece in water, oil or air to obtain certain material properties. 6 Warping shear stress in flanges. The tensile strength is then calculated as the failure tensile force divided by the cross-sectional area. 3. 3 III 2D Elements Types of 2D elements, Formulation of elemental stiffness matrix and Boring Methods of Exploration The boring methods are used for exploration at greater depths where direct methods fail. Driven Assembly of global stiffness matrix and load vector, Properties of stiffness matrix, half bandwidth, Boundary conditions elimination method and penalty approach, Symmetric boundary conditions, Stress calculations. 1 compares some of the different optimized categories. Calculate fixed end forces induced by external loads at the fixed DOF. We analyze an indeterminate As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type. ac. () 2 x xwx Mw. Before applying approximate methods, it is necessary to reduce the given indeterminate structure to a determinate structure by suitable assumptions. The method is the generalization of consistent deformation method. 7 METHODS of ANALYSIS 4. Screen and gf of structural analysis notes and force in the direct stiffness method of a level of matrix notation for download link is our service is six. 2. 2 Bolted cover plate splices 51 4. The seismic forces are dynamic in nature and these forces are tested for load carrying capacity, ductility, dampness, stiffness and mass. We consider first the simplest possible element – a 1-dimensional elastic spring which can accommodate only tensile and compressive forces. I Subsection NB § NB‑3213. 6. a direct outcome of using equation (3. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. See the complete profile on LinkedIn and discover These properties could be in the form of A, B, D matrices which define the stiffness of the laminate. Fig. = 1. Thin cylinders and sphere 18. K Livesley in the 1960s, beat all other methods hands down. The modern development of the finite element method began in 1941 with the work of Hrennikoff in the field of structural engineering. P. PART B 1. collocation method. 7. Indian Institute of Technology, Kanpur 1 Module 4 GROUND RESPONSE ANALYSIS (Lectures 17 to 22) Lecture 22 Topics 4. 1, we obtain the expression for the The above method for the determination of the mechanical properties of the connection is called the component method. To determine the stresses and deflections of such beams, the most direct method is to solve the Euler–Bernoulli beam equation with appropriate boundary conditions. There are several basic steps to solving a problem by the FEM method. Solve realistic engineering problems through computational simulations using finite element code, List of Experiments/ Tutorials: I would like to calculate dynamic stiffness,Kd using this graph using least square method, rms method, average method. 2. If more accurate analyses are desired, it may be necessary to input the stiffness of the column-base-plate connection in the elastic and plastic ranges, and for seismic loading, possibly even the cyclic force-deformation relations. Advanced Structural Analysis Video course COURSE OUTLINE This course mainly deals with matrix analysis of structures. 1 Introduction The finite element method (FEM) is a numerical method to solve differential equations. Saurav has 4 jobs listed on their profile. Member Stiffness By substituting Mnf =M,θn = θ,andθf = Ψ=FEMnf =0into the slope‐deflection eqq,uation, we obtain (1) 4 θ = L EI M “The bending stiffness, , of a member is defined as the moment th t t b li d t d f th b t it K that mus eapplied a an en o ememer o cause a un rotation of that end. 2 Multiple Method 4. Analyze skeleton structures using stiffness method, 2. 5(b)]. 5. 3 Design steps 52 High-performance fibers are those that are engineered for specific uses that require exceptional strength, stiffness, heat resistance, or chemical resistance. D. Books and references. Concrete and steel piles are most common. Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics 4. Niket S. 4 Load Partition and Ultimate Strength, 162 7. This method considers the deflection as the primary unknowns, while the redundant forces were used in the force method. Vedula: Web: IIT Bombay Example. If the angle of rotation of the lamina is given (other than 0 degree), this calculator also constructs the stiffness matrix [ ] and the compliance matrix [ ] in Direct Tension/Compression (only x) Beam bending (only x on top/bottom) Pure torsion (only xy ) Rotating shafts (bending + torsion) – ( x and xy) Problem #S1 A member under load has a point with the following state of stress: 4000 0 10500 , 5500 , 3 psi psiTensile psiCompressive xy x y Determine 1, 2, Learn Structural Analysis MCQ questions & answers are available for a Civil Engineering students to clear GATE exams, various technical interview, competitive examination, and another entrance exam. Method of moments. Method A, specified in S14. This method predicts the pressure distribution throughout the thickness of the grip. 1. Fixed and continuous beams 16. 4. These variations in maximum moment across the width and Engineers are concerned with soil's mechanical properties: permeability, stiffness, and strength. Fix all Degrees of Freedom. Analyze the stresses and compare to allowable using the allowable stress method or interaction formula for eccentric columns. Presently such bolts are not available in India. Analyze the continuous beams using stiffness matrix method 25. 1. Flexibility matrix method: The redundant forces are treated as basic unknowns. R. By using the light of a stroboscope to “freeze” or “slowly move” the stud, quite high-frequency small-amplitude vibrations may be measured. The Boeing Company, Seattle, Wash Matrix method of analysis: flexibility and stiffness method, Application to simple trusses and beam Reference Books 1. NPTEL Subtitle Transcription : Available and Included (SRT) Lecture Titles: Lecture 1 - Introduction Lecture 2 - Overview of Learning Modules While dyeing the reactive groups of reactive dyes forms covalent bond between fibre polymer and dye which makes dye integral part of fibre. The direct stiffness method, first introduced in the 1930s by Collar and Duncan and later further developed by Argyris and Turner and made popular by that classical text book on the subject by R. In applying the method, the system Week 12: Introduction to direct stiffness method. 7. NPTEL Issued Jan 2021. NPTEL Lecture Count : 113. The deﬂection curve, bending moment and shear force diagrams are calculated for a beam subject to bending moment and shear force using direct stiﬀness method and then using ﬁnite elements method by adding more elements. The direct stiffness method was introduced in 1941 by Hrennikoff. They modelled the entire roller screw mechanism as a large spring system composed of individual springs representing various compliances. δB = (3000 N) (5000 mm)3 / (3 (2 105 N/mm2) (8. 6. Plastic design can be viewed as a means whereby the ability of moment redistribution of steel structures is utilized when the structures are loaded beyond their elastic state. JONES; ROBERT E. The fixed pointer or stud, shown in Figure , is attached to the vibrating surface and is used to give an indication of the displacement only. Analysis by substructures using the stiffness method and flexibility method with Clough, Archer, Argyris, and Turner led to the development of the Direct Stiffness Method (DSM) to address various structural design challenges [8]. The FEM is a general numerical method for solving partial differential equations in two or three space variables. 7 Moment Distribution Method 3. Sankarasubramanian from PHI Learning. Before Macaulay’s paper of 1919, the equation for the deflection of beams could not be found in closed form. • Convert the indeterminate structure to a Stiffness Method 1. Introduction to the Finite Element Analysis: 10-09-2008: 10-09-2008: 10-09-2008 Section 7. Dr. 5. Construct the stiffness equation by superposing the member end forces based on the equilibrium equations. 6. A First Course in the Finite Element Method. direct and convenient. Write down the expression of stiffness matrix for a truss element. steel reinforcement, stiffness of the elastomer, and geometric constraints must all be satisfied. JONES. Basis of the Stiffness Method. 29-08-2017 42 Introduction to matrix methods 26. me Lesson 35 D Nptel values of moments, shear and axial forces in various members. - Lec 28 29 a) Calcium Carbide Method Determining Water Content in Soil – Calcium Carbide Method This test is done to determine the water content in soil by calcium carbide method as per IS: 2720 (Part II) – 1973. Member load matrix including lack this method is called method of successive integration Example 9-1 determine the deflection of beam AB supporting a uniform load of intensity q also determine max and A, B flexural rigidity of the beam is EI bending moment in the beam is qLx q x 2 M = CC - CC 2 2 differential equation of the deflection curve qLx q x2 Direct Method Indirect methods Semi-direct methods (Borings) ¾Trial Pits ¾Trenches Geophysical methods ¾Seismic Method ¾Auger Boring ¾ ¾Shell and Auger Boring ¾WashBoring Electrical Resistivity Method Wash Boring Soundingsorpenetrationtests ¾Percussion Drilling ¾Rotary Drilling Soundings or penetration tests ¾Standard Penetration Test 4. 1. 2 . H. It can help demonstrate how progressive failure in buildings really occurs, and identify the mode of final failure. Apply matrix flexibility and stiffness methods 1 03-09-2019 40 Introduction flexibility method 2 04-09-2019 42 Application to continuous beams 3 07-09-2019 43 Application to continuous beams 4 11-09-2019 45 Introduction stiffness method with support settlement 5 14-09-2019 46 Application to continuous beams NPTEL Lectures (39) NRZ (1 Introduces you to an efficient approach to determine the structural properties of a steel tube frame using the direct stiffness method. Toggle navigation. The Direct Stiffness Method for Truss Analysis with Python Udemy Issued Where F is the force in Newton, k is the spring constant or stiffness of the spring (N/mm) and δ is the spring deformation (elongation or compression in mm). 3 Design method 44 3. Identify and label the nodes and the elements. Linear Static analysis is appropriate if deflections are small and vary only slowly. 21 It will be found that most classical mathematical approximation procedures as well as the various direct approximations used in engineering fall into this category. suitable number of releases. C. – direct estimate of settlement Empirical values for Dr and qu of granular and fine soils based on SPT blow numbers >30 Hard >400 15-30 Very stiff 200-400 8-15 Stiff 100-200 4-8 Medium 50-100 2-4 Soft 25-50 2 Very soft <25 N Consistency qu (kPa) Clay Sand & Silts >38 35 – 38 32 – 35 30 – 32 <30 Friction angle, deg Very dense >50 85 Given the material properties of a unidirectional lamina, this calculator constructs the stiffness matrix [C] and the compliance matrix [S] of the lamina in the principal directions. 5. Did the section pass the stress test? - If not, do you increase r or A or S? - If so, is the difference really big so that you could decrease r or A or S to make it more efficient (economical)? 6. Different equations for bending moment were used at compatibility methods, such as method of consistent displacements, force and equilibrium Methods CO2 Perform structural analysis using the stiffness method. Truss Structures: Direct Stiffness Method Fundamentals of Finite Element Analysis. Deflection in cantilevers 14. NPTEL Syllabus. Flexibility Method 3 7. M" Before Discussion Of this Method, we have to study some concepts: 1. S. 259 183 5MB Read more. As shown, the maximum moments are less elsewhere. Theory of FEM is developed on Variational methods. Substructure Approach in Soil Structure Interaction. 3. 2. The author shall not be liable to any viewer of this site or any third party for any damages arising from the use of this site, whether direct or indirect. 3,4 Pure torsion stresses in flange and web. 3. Suresh Kumar: Web: IIT Bombay Studying CVL756 Advanced Structural Analysis Instructor Suresh Bhalla at Indian Institute of Technology Delhi? On StuDocu you find all the lecture notes, summaries and study guides for this course stiffness- to- weight ratio of the part (Kalpakjain & Schmid)-8-Electrochemical Machining (ECM) Introduction Electrochemical machining (ECM) is a metal-removal SHEAR AND TORSION David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 June 23, 2000 Complex stiffness method for damping properties of woven composites 29 May 2017 | Journal of Reinforced Plastics and Composites, Vol. In such situations, macroscopic approach could be used for structural analysis of the laminate. 3 Kinematic Interaction 4. Most foundation failures are related to excessive 1,2 Direct shear stresses in flange and web due to principal bending. Consider any section XX at a distance ‘x’ from free end which is left end as shown in figure. 5. • In the slope-deflection method, the relationship is established Macaulay’s Method is a means to find the equation that describes the deflected shape of a beam. 3 Joint Stiffness, 162 7. Direct tension indicator method: In this method special washers with protrusions are used [Fig. Truss Structures: Direct Stiffness Method. Fig 1 Spring Loading apparatus Introduction to direct stiffness method-Rotation of axes in two dimensions, stiffness matrix of elements in global co- ordinates from element co-ordinates- assembly of load vector and stiffness matrix, solution of two span continuous beam-single bay single storey portal frame. Force method for beams and trusses 2 5. Sub-domain method. Direct and Bending Stress 10. The same procedure yields the other two 4. VERY VERY Discretization means dividing the body (system) into an equivalent system of finite elements with associated nodes and elements. 6 SOIL-STRUCTURE INTERACTION 4. Before applying approximate methods, it is necessary to reduce the given indeterminate structure to a determinate structure by suitable assumptions. 3 for a slab simply supported on all sides. The above equation may also be written as aF u = (23. Three or more spans in each direction. It also has an ability to This technique, which is the basis for all considerations within that episode, is a classic first step to explore the Finite Element Method (FEM). e. 3 . . Varma Example 2. Method of Weighted Residuals Fundamentals of Finite Element Analysis. For slabs on beams, for one panel. So the DHR for a subject structure is determined through the modified Eq. I want to model soil-structure interaction using linear spring method. In selecting the boring method for a particular job, consideration should be made for the following: The materials to be encountered […] Finally de res recetas a1605c review paper towel ted talk buy jane taylor jewelry aig direct deposit form johannes huebl facebook autoescuela alardos alcorcon cocuk ilahileri youtube work plan seminar 2013 fifa 10 world cup song john. in Aeronautical Strength Of Materials Course Strength Of Materials [546grmgdz8n8]. 27. Note that we are assuming the deformation is linear over the element. Derive an expression of shape functions and the stiffness matrix for one dimensional bar element based on global co-ordinate approach. Kaisare. 4 Methods of strengthening 7 2. and Chapter 2, 3 & Sections 5. NPTEL Co-ordinating Institute : IIT Madras. - NPTEL team محاضرة ديوية Dr. One distinct feature of FEM is that it can be generalized to the domains of any arbitrary geometry. Orig inally, this method was de veloped to solve Notes and global stiffness method of structural analysis lecture notes for your knowledge. The ASTM sanctioned sampler and its dimensions are shown in Fig. lesson 35 d nptel, it is completely simple then, back currently we Lesson 35 D Nptel - poplin. Symmetry-Antisymmetry Handouts, Chapter 10 of direct stiffness and related methods was recently conducted by Samuelsson. The pressure cone for a joint can be visualized in the diagram below. However, a direct method which is often used is to consider the element in See Increments of the components of stress in the x-direction The summation of the forces in the x-direction gives: Dividing by Δ x Δ y Δ z and taking the limit yields Eq. pdf 729. How to change the spring/bush stiffness values using damping values. The basic working principle of a DC motor is based on the fact that whenever a current carrying conductor is placed inside a magnetic field, there will be mechanical force experienced by that conductor. 1 Scope 51 4. • Direct stiffness method is limited for simple 1D problemsDirect stiffness method is limited for simple 1D problems • PMPE is limited to potential problems • FEM can be applied to many engineering problems that areFEM can be applied to many engineering problems that are Structural Analysis IV Chapter 4 – Matrix Stiffness Method 10 Dr. Analysis of Beam Using Stiffness Matrix Method with Settlement Condition. It is thus difﬁcult to determine the origins of the ﬁnite element method and the precise moment of freedom, Equilibrium method, The energy method, Rayleigh’s method, Stiffness of spring elements. The use of the force method to analyse a beam structure with a support settlement will be illustrated using the example structure shown in Figure 8. The development of the direct stiffness method originated in the 1940s and is generally considered the fundamental of finite element analysis. 5 Effect of Joint Geometry, 163 7. Therefore, other design values can be reduced according to the variation shown. 1 Illustration of Soil-Interaction Effects 4. It provides a comprehensive approach to the analysis of a The additions represent some departures from the spirit of the first edition. 5 Normal warping stress in flanges. For safe, economical and sound provision of formwork, it is essential to design the same as structural member even though it is of temporary nature. During designing a flame retardant clothing, several things should be kept in mind. MCESE 105 – 1* ADVANCED ANALYSIS OF STRUCTURES Module 1: Matrix methods Review of work and energy principles-Maxwell, Betti, Castigliano theorems- principles virtual work-Classification of structures–discrete structures–elements–nodes–degrees of freedom– static& kinematic indeterminacy Stiffness method–coordinate systems–element stiffness matrix. These depend primarily on the nature of the soil grains, the current stress, the water content and unit weight. In these methods flexibility and stiffness properties of members are employed. An Introduction to Finite Element Methods Introduction to the Finite Element Method, Fourth Edition, covers: • Mathematical preliminaries and classical Stiffness Matrices, Spring and Bar Elements Fundamentals of Finite Element Analysis. w A B L LECTURE 18. System coordinates - Element Stiffness Matrix - System displacements - Element forces - Final forces Mar 22, 2021 - The Direct Stiffness Method Truss Analysis (Contd) Notes | EduRev is made by best teachers of . 5 107 Nmm. This example contains 6 parts. Stiffness method of analysis of structure also called as displacement method. Structures, Force and stiffness methods of analysis, Plane trusses by using method of consistent deformations, Beams and frames: Plane trusses by using direct stiffness method CE 242 ENGINEERING GEOSCIENCES Earth System: Lithosphere, Hydrosphere, Cryosphere and atmosphere and their iinteractions Solid Earth : Shape, size, interior of the solid Page 1 NPTEL- GEOTECHNICAL EARTHQUAKE ENGINEERING Dept. , mechanical elements are drawn perpendicular to the electrical elements so the each loop in the electrical circuit becomes a position in the mechanical circuit). 3. The stresses vary depending on end restraints along the beam. See . Deflection of beams - double integration method - Macaulay's method - slope and deflection using moment area method, Conjugate Beam method - variation of shear stress - shear stress distribution in rectangular, I sections, solid circular sections, hollow circular sections, angle and channel sections - shear flow - shear centre. L/B 2. 3. Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. This method is a powerful tool for analysing indeterminate structures. This document is highly rated by students and has been viewed 361 times. A short review for solving the beam problem in 2D is given. Baseline References on the SPT procedure Many of the SPT correlations have been explored, and there exist no small number of problems, requiring considerable judgment. This document is highly rated by students and has been viewed 276 times. of the pts of application of various forces involved - based on the concept of work done by a force The Stroboscope Method. It begins with a review of the basic concepts of structural analysis and matrix algebra, and shows how the latter provides an excellent mathematical framework for the former. 13 L Real beam Conjugate beam Ł Stiffness Coefficients Derivation M Mj i L/3 θi L Mi +M j EI M j EI Mi θι EI M j L 2 EI MiL 2 2 (1)) 0 3 2)(2) (3)(2 ’ 0: (= −−− + Σ = − + = i j i j i M M L EI L M L Our second example on the Stiffness Method! I promise it will not be as long as the first example. in/noc. Rajput, Nathi Ram and Satish C. 2. S. This method determines the load at which a plastic hinge occurs, and is well suited for analysis of compressive loads, or bending of pipe elbows and non‑compact beams. The principles of the component method are based on Zoetemeijer’s work [Zoetemeijer, 1983b]. Ramamrutham Dhanpat Rai Publishing company Structural Analysis Devdas Menon Narosa Publication Matrix Methods of Structural Analysis EQUIVALENT FRAME METHOD • most commonly used method • the flat slab structure is divided longitudinally and transversely into frames consisting of columns and strips of slabs with : – stiffness of members based on concrete alone – for vertical loading, full width of the slab is used to evaluate stiffness CE 405: Design of Steel Structures – Prof. The local stiffness matrix for a spring is that of a truss however with entries equal to the spring stiffness k An indeterminate truss is supported and loaded as shown above, using the direct stiffness method, obtain the displacements, support reactions, and internal forces that are induced in the members due to the externally applied loads, (EA = Constant, dimensions in mm). I. NPTEL Subject Matter Expert : Dr. 1 Selecting Footing Size and Reinforcement. T’S profile on LinkedIn, the world’s largest professional community. (Diploma/ UG/ PG) Field visit( Fatehgunj bridge, GERI laboratory, vanakbori thermal power station, Ajwa dam) The stiffness of the grip is determined by calculating based on a simplified pressure-cone method as presented by Shigley. This method is rarely used in practice as it involves large computation and is very complex to analyze. Download Free Sample PDF and Get Upto 29% OFF on MRP/Rental. There are two classifications of direct integration: explicit and implicit. , E. 1. Figure 7. ” By setting θ=1radin Eq. Jones et al. Academia. The modulus of elasticity may also be characterized as the “stiffness” or ability of a material to resist deformation within the linear range. 23. What is a Permanent Magnet DC Motor (PMDC Motor)? In a DC motor, an armature rotates inside a magnetic field. Displacement (Stiffness) Method Express local (member) force -displacement relationships in terms of unknown member displacements. Formation of Soils: Soil is formed from rock due to erosion and weathering action. Understanding of the meaning of bending moment, shear force, and second order analysis, end moments, etc is probably more important than the method. • The effect of shear lag, and hence the strength reduction, is higher when the ratio of 2. 1. x. 1 Approximate Method of Analysis, 165 7. 1. 5. ac. 3. In the stiffness, or displacement method the solution of a problem is regarded as the sum of particular and complementary solutions. FEA Overview - Free download as Powerpoint Presentation (. Stiffness Method applied to Large Frames: Local Coordinates and Global Coordinates. 22 ∴=− =− We know that differential equation of elastic line 22 2 dy wx EI dx 2 =− Integrating both sides we get 22 The general method used is called direct integration. Pile driving is achieved by: impact dynamic forces from hydraulic and diesel hammers; vibration or jacking. We use an arrow along the member to indicate the direction from the start node to the end node. Two examples are then given illustrating their use. K. 3 Design method 4 2. Direct design method, that could have been named the direct analysis method because it determines or prescribes moments for different parts of the slab panel without the need to conduct structural analysis, is explained in the following sections. This approach presented could be considered macroscopic in nature as equivalent section properties are derived and used in Abaqus section definition. A visual method can be done, but will not be discussed here. The ASCE4-98 definitions are used where there is no conflict. Structural Dynamics Numerical Integration in Time The first, and simplest, is an explicit method known as the central difference method. and finally we can write as [K][d] ={F} on multiplying with [K]-1 on both sides of above equation we get [d] =[K]-1[F] The direct stiffness method must be used instead. 6 Stiffness, flexibility, carry over Factor & Distribution Factor 3. Set up the coordinate system. It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. This The direct stiffness method is used mostly for Linear Static analysis. Analyze the continuous beams using flexibility matrix method 2. 9. • To derive the stiffness matrix for the beam element with nodal hinge • To show how the potential energy method can be used to derive the beam element equations • To apply Galerkin’sresidual method for deriving the beam element equations CIVL 7/8117 Chapter 4 - Development of Beam Equations - Part 1 1/39 Although there are several finite element methods, we analyse the Direct Stiffness Method here, since it is a good starting point for understanding the finite element formulation. LL 2 DL 4. Q is the total change in length of the element. L. 3 Design Approach. Transformation Matrix, Assembly of Global/ Structural stiffness matrix up to (8x8). Direct stiffness method to construct a stiffness model of the roller screw mechanism was used by Mattew. It is similar to the method for drawing dual circuits (i. lesson 35 d nptel, it is completely simple then, back currently we Lesson 35 D Nptel - poplin. 7. txt) or view presentation slides online. Compare flexibility method and stiffness method. Also how it differs if it is undamped,underdamped,critical damped,overdamped structure. Connections in multi-storey frames are most likely to be bolted, full depth end plate connections or extended end plate connections. 196 107 mm4)) = 7. F & B. CO3 Solve multiple degree of freedom two and three dimensional problems involving trusses, beams, frames and plane stress CO4 Understand basic finite element analysis where is the modulus of elasticity of concrete in kg/cm (3 10), is the thermal coefficient of concrete per C (1 10) is the temperature difference between the top and bottom of the slab, and are the coefficient based on in the desired direction and right angle to the desired direction, is the Poisson's ration (0. 1 Scope 42 3. The height of the beam is 300 mm and the distance of the extreme point to the neutral axis is 150 mm. 5. Key words: pile load capacity calculation, Eurocode 7, α – method and β – method, direct methods based on CPTu data 1. But direct analytical solutions of the beam equation are possible only for the simplest cases. Stiffness Matrices, Spring and Bar Elements Fundamentals of Finite Element Analysis. In short, the DMDHR identification method is able to capture nonlinear DHR without a specific numerical model for a subject structure. In the method of displacement are used as the basic unknowns. 3 Number of Regions, 164 7. These methods have been developed in conventional and matrix forms. 2-21 (modified Rosenblueth) is used for close mode interaction of the damped periodic portion of the modes. Structural Analysis MCQ question is the important chapter for a Civil Engineering and GATE students. Analysis of Frame Structure 12. 4. Mechanical 2 (Force-Voltage) to Electrical. The use of a centrifuge enhances the similarity of the scale model tests involving soil because the strength and stiffness of soil is very sensitive to the confining pressure. pdf 728. ASCE4-98 Eq. The discovery of carbon nanotubes has opened new possibilities to face challenges better. These provide both disturbed as well as undisturbed samples depending upon the method of boring. 1: Illustration of Direct Analysis of Soil Structure Interaction with the help of Finite elements. Many articles i have checked but all of them using non-linear This site is for Civil engineering students. E (Steel) ≈ 30 x 106 psi E (Aluminum) ≈ 10 x 106 psi E t ⇒ Tangent Modulus - Slope of the stress-strain curve above the proportional limit. (c) Draw the quantitative shear and bending moment diagrams. • Using equilibrium of assembled members, find unknown displacements. 2. Mmax = (3000 N) (5000 mm) = 1. 1. 3. Direct stiffness for beams, plane frames, Truss 3 6. Most of these problems are discussed in the following articles: Method 1. Design methods Two design methods are allowed by the AASHTO-LRFD Specifications. We will formulate the equations for two direct integration methods. now summing up all the elemental stiffness matrices to get global matrix with the the help of direct stiffness method to get [K] and similarly summing up all the elemental force matrices we get {F} the global force vector. A type of heat treating, quenching prevents undesired low-temperature processes, such as phase transformations, from occurring. 6: the normal and shear stress acting on an arbitrary plane through a Naturally this method is more by experimentation rather than proper structural design. 26. Conjugate Beam Method and Propped cantilevers 15. Wang. A more efficient method involves the assembly of the individual element stiffness matrices. 36, No. 2. 8 Numerical to draw S. 3. Forced Vibration with Harmonic Excitation: Steady state solution with viscous damping, Method of complex algebra, Reciprocating and rotating unbalance, Base excitation, Lecture 38 - Development of Mass, stiffness and damping matrices of TLP from first principles Lecture 39 - Estimate of classical damping Lecture 40 - TLPs under seismic excitation Lecture 41 - Direct Integration method Lecture 42 - Development of new generation offshore structures Lecture 43 - Introduction to stochastic dynamics of ocean structures Method 1. Credential ID Final Score: 94% , Elite + Gold Certificate, Top 2%. The number of equations involved is equal to the degree of static indeterminacy of the structure. 6 mm. Solid Mechanics Part II 207 Kelly 1. They have high strength-weight ratio, better stiffness, economical production, and ease of availability of raw materials. Galerkin method. It involves assembling of stiffness matrices of structural members into the stiffness matrix of the whole system. Use direct stiffness method understanding its limitations Syllabus Contents: Influence Coefficients: Physical Significance, Effects of Settlements, Temperature Change and Lack of Fit, Member Approach and Structure Approach. Yarn numbering: Direct, Indirect. 2 Basic Approach 4. Various methods and their underlying mechanics in determining response of structures when subjected to external agitation will be discussed in this course. [Download ##download##] Module-6 Note 112101001: Mechanical Engineering: Second Level Course in Heat Transfer: Prof. 4 Inertial Interaction 4. The information on this website is provided without warantee or guarantee of the accuracy of the contents. 08 20 The finite element method. K Livesley in the 1960s, beat all other methods hands down. The need for a simple method to predict the non-linear behaviour of a structure under seismic loads saw light in what is now popularly known as the Pushover Analysis (PA). The mulvihill vml bd novice 23 2012 artistas puertorriquenos? How famosos grovia. Augmenting the direct stiffness method and performing the analysis in Matlab In order to perform the analysis, please find the local stiffness matrix for a truss in your class notes. Finally, all mass, damping, stiffness coefficients on all DOFs can be determined. 2 – 5. ROBERT E. edu is a platform for academics to share research papers. To simulate linear spring in abaqus we want spring stiffness. The cold pad-batch method can be used to reduce the stiffness and also increase the wash-fastness. • The thickness of the angle has no significant influence on the member strength. pptx), PDF File (. 1 Determine the elastic section modulus, S, plastic section modulus, Z, yield moment, My, and the plastic moment Mp, of the cross-section shown below. 29 Statically Indeterminate ENES 220 ©Assakkaf Transversely Loaded Beams Illustrative Example using the Integration Method – Equilibrium Finite element method Discover a simple, direct approach that highlights the basics you need within A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. Apply unit displacements and calculate member end forces at the DOFs. Dr. and Restrained displacement; Programming direct stiffness method. ACI 318-11 Code provides two methods for two way slab design one of which is direct design method. 1 Collocation Method In this method, the weighting functions are taken from the family of Dirac δfunctions in the domain. Derive element properties and analyze structure using finite element method, 4. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. stiffness is overestimated, or excessive ﬁrst-ﬂoor column sizes if the stiffness is underestimated. 1 Individual Element We consider here the most basic form of stiffness analysis. After the revolution occurred in the field of computing direct stiffness method is preferred. It also Week 12: Introduction to direct stiffness method. Nov 8, 2016 - Structural Analysis and Design of Industrial Building The aim of the project “Structural Analysis and Design of Industrial Building” is to develop a Normal As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type. To demonstrate the method, vibratory behaviour of thermally stressed Geotechnical centrifuge modeling is a method of testing physical scale models of geotechnical problems. Flexure Elements Fundamentals of Finite Element Analysis. A. 2) Version 2 CE IIT, Kharagpur Page 5 Module 4 Analysis of Statically Indeterminate Structures by the Direct Stiffness Method Version 2 CE IIT, Kharagpur Lesson 23 The Direct Stiffness Method: An Introduction Version 2 CE IIT, Kharagpur Instructional Objectives: After reading this chapter the Introduction The systematic development of slope deflection method in this matrix is called as a stiffness method. Indeterminate Structures by J. Determination of Two way slab thickness: Stiffness Reduction for the Direct Analysis Method The Direct Analysis method requires a reduction in the axial and flexural stiffness of some members. 3. 1111 222 2 12123 3 0 0 x x x kkuF kku F kkkku F (1) 11 (2) 22 (1) (2) 33 3 0 0 xx xx xx x fF fF ff F The Stiffness Method – Spring Example 1 To avoid the expansion of the each elemental stiffness matrix, we can use a more direct, shortcut form of the • We learned Direct Stiffness Method in Chapter 2 – Limited to simple elements such as 1D bars • we will learn Energy Methodto build beam finite element – Structure is in equilibrium when the potential energy is minimum • Potential energy: Sum of strain energy and potential of applied loads • Interpolation scheme: vx x() {}Nq Beam I did the direct stiffness method at school and the Professor spent a lot of time on it. 5. III Basic concept, Degree of Freedom, Basic concept of Direct Stiffness Method. 5 Design steps 8 3 WELDED BEAM TO COLUMN CONNECTIONS 42 3. nptel calculations 111101004: Mathematics: Introduction to Probability Theory: Dr. The artificial In this less on the direct stiffness method as applied to planar truss structure is discussed. N College of Engineering: 36. (16) 2. K. This is done to account for the non-linear material effects caused by residual stresses. Programing the Finite Element Method with Matlab Jack Chessa 3rd October 2002 1 Introduction The goal of this document is to give a very brief overview and direction in the writing of nite element code using Matlab. Books and references. In a direct tensile strength test a cylindrical rock specimen is stressed along its axis by means of a tensile force. Properties: Yarn Twist, Twist Direction, effect of twist on yarn and fabric properties. Mustafa Kamal Mahmood Al-Kamal The Stiffness Method – Spring Example 1 The above equations give: Apply the force equilibrium equations at each node. 4. 1 Effect of Variation in An/As Ratio and Joint Length, 163 7. Thickness of a pier is the overall thickness including the thickness of the wall or, when bounded into a limb of cavity wall, the thickness obtained by treating that limb as an independent wall. Using the same shape functions for both unknown approximation and coordinate transformation is known as iso-parametric formulation. From this equation, any deflection of interest can be found. (b) Determine all the reactions at supports. Its length is 20 ft. FLEXIBILITY METHOD . 3. Indeterminate Structures By C. 2 Number of Fasteners per Region, 163 7. This method of analysis is also important for design of elements of RCC buildings like beam, column, slab which are designed in accordance to IS 13920:2016. We also consider that it can only move in the x-direction. (13) The particular solution is that pertaining to the structure with its nodal displacements inhibited and can usually be written down with little computation. Putting simply, PA is a Buy Computational Structural Mechanics PDF Online by S. 7. For instance, if 3. 5 104 Nm. Analysis of Statically Indeterminate Structures by the Direct Stiffness Method\truss analysis cont. INTRODUCTION . Yarn Count: British count, Metric count, Tex, Denier count, Standard method of determination of yarn count with electronic balance. Rajasekaran, G. Hence, they are known for its enhanced fastness property. 1. The textile fiber‘s thermal behavior; The influence of fabric structure on the thermal behavior Curso Nptel - Finite Element Analysis [pon2x3x1gjl0]. The soil structure interaction activity is divided into two parts. Beams and Shafts: Boundary conditions, Load vector, Hermite shape functions, Beam stiffness matrix based on Euler-Bernoulli beam theory, Examples on cantilever beams, propped cantilever beams, Numerical problems on simply supported, fixed straight and stepped beams using direct stiffness method with concentrated and uniformly distributed load. Linear Static analysis omits time as a variable. The appropriate method should be used for a given problem. FEMA P-751, NEHRP Recommended Provisions: Design Examples 5-6 5. Using the torsion formula i. These are the two basic methods by which an indeterminate skeletal structure is analyzed. Damping forces Damping forces are related to velocities of nodes through damping matrix. Variation in successive spans 33% ( . 20 50 4 Special Problems: Member discontinuities, Non-prismatic members, curved members, beams on elastic supports, semi-rigid connections, effect of shear deformations by stiffness method, Sub-structure analysis and symmetry concepts. e SPRING DEFLECTION Spring striffness: The stiffness is defined as the load per unit deflection therefore Shear stress WAHL'S FACTOR : In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor K = Wahl' s factor and is defined as Where the stiffness matrix: Note that the system stiffness matrix is: (1) symmetric, as is the case with all linear systems referred to orthogonal coordinate systems; (2) singular, since no constraints are applied to prevent rigid body motion of the system; (3) the system matrix is simply a superposition of the individual element stiffness The built-in beams shown in the figure below are statically indeterminate. Column offset 10% in each direction. Approximate Methods 2 Text Book(s): Title Author/s Publication Theory of Structures S. uborka-kvartir. 15), is the radius of the contact area and is the radius of the relative stiffness. Devdas Menon, Structural Analysis, It will be e-verifiable at nptel. NPTEL CIVIL ENGINEERING COURSES - National Programme on Technology Enhanced Learning, a Joint Venture by Indian Institutes of Technology & Indian Institute of Science; and Funded by the Ministry of Human Resource Development, Government of India, India Multimedia Civil Engineering Courses (Text, Images, Videos/Movies & Audio/Sound). direct stiffness method: Step 1: Select the problem units. 4 Design steps 44 4 SPLICES 51 4. The direct stiffness method is the most common implementation of the finite element method. Carbon Nanotubes are known for their high mechanical strength, excellent thermal and electrical properties. This structure is a two span beam with a roller support at the right end that settles downwards by $45\mathrm{\,mm}$. Igneous rock is the basic rock formed from the Types of moment resisting connections. INTRODUCTION Piles can be either driven or cast in place. Direct Stiffness Method Deformations due to axial forces are not neglected. As the bolt is tightened, these protrusions are compressed and the gap As a result, a more economical design due to material saving can be achieved when using the plastic design method. 2 Connected Material, 170 Integration Method – Determine the reactions at the supports for the simply supported cantilever beam of Figure 35 in terms of w and L. Varma EXAMPLE 3. For each element select a start node (node 1) and an end node (node 2). NPTEL HRD – Introduction to 10. me Lesson 35 D Nptel values of moments, shear and axial forces in various members. The direct stiffness method, first introduced in the 1930s by Collar and Duncan and later further developed by Argyris and Turner and made popular by that classical text book on the subject by R. 2. Analysis of Statically Indeterminate Structures by the Direct Stiffness Method\stiffness method Truss analysis. Analysis of Beam Using Stiffness Matrix Method with Settlement Condition. Slope deflection method: Fundamentals, sign convention, equilibrium equation, analysis steps: Chapter 7: Methods of structure analysis: Force method, displacement method: Chapter 8: Matrix method of analysis: Definition, types of matrix, properties of determinants, basic matrix operations, development of flexibility and stiffness matrix Finite Element Method - Direct Stiffness Method: 13-09-2008: 13-09-2008: 13-09-2008: Guest Lecture Delivered - Short term course on Finite Element Analysis Using ANSYS at K. Here conventional methods are discussed. 12. textile dyeing of cotton, vat dyes have been proven to have excellent fastness properties over other dyes. NPTEL Course Size : 44 GB. Moment resisting connections are used in multi-storey un-braced buildings and in single-storey portal frame buildings. To be absolutely honest I found it wasn't really worth the time we spent on it. 1 Determine the buckling strength of a W 12 x 50 column. pdf), Text File (. CE 405: Design of Steel Structures – Prof. Assume ei to the method lecture notes and the formulation for structural engineering. -Method of Virtual Work is suitable for analysis of multi-link structures (pin-jointed members) which change configuration-effective when a simple relation can be found among the disp. It considers the material to behave in an elastic-perfectly plastic manner. L over full span using Moment Distribution Method Composite engineering comprises of metal matrix composites. Direct Design Method "D. We represent a structural member by a spring which has a node (or connection) at each end. of Civil Engg. Assignment 3: form local stiffness matrix for a truss element e oriented at an arbitrary angle to the global x-axis function[stiff_loc_truss]=ass3_groupn(X,icon,e,spring_constant) % programme to calculate stiffness matrix of a 2-noded truss element in the global X-Y system Form stiffness in local coordinates Find transformation matrix k = the element stiffness, A = the cross sectional area of the element, E = Young’s modulus for the material, and L = the length of the element. Solve the iffnessst equation. finite element Saurabh K. In that edition's preface it was noted that, in concentrating on the direct stiffness method, we were dealing with an accredited, widely practiced procedure, whereas an earlier gen-eration of texts frequently dealt with subject matter that was not fully crystallized. 8,515 2,802 12MB Read more. column and struts 20 NRC Regulatory Guide Rev. 6 SOIL 1. M Diagram of two or three span continuous beams having end supports as overhang , fixed and / or hinge and subjected to Central Point Load and/ or U. 6, is applicable to plain, steel reinforced and fiber glass reinforced elastomeric pads as well as cotton duck pads. NPTEL provides E-learning through online Web and Video courses various streams. It is assumed that the reader has a basic familiarity with the theory of the nite element method, A direct numerical integration method is employed to compute the non-linear frequencies of thermally stressed structures. Civil Engineering(Extra material)\structures\Structural Analysis 2\4. Displacement method - Internal forces due to thermal expansion and lack of fit - Application to symmetrical structures - Code system in the stiffness methods - Computer program for the code system - Comparison between stiffness and flexibility methods. 6. 12) in 1D. Ahinge connection can only transmit forces from one member to another member but not the moment. 01-09-2017 45 Analysis of continuous beams without settlement of supports 28. To have an efficient dyeing operation, dyer has responsibility of controlling his system variables such as temperature, time, liquor ratio, dye concentration, pH, chemicals, salt and so on. The Slope-deflection method was used for many years before the computer era. . That is, Wi(x)=δ 8 5 kN 6 m 6 m A B C Example 1 For the frame shown, use the stiffness method to: (a) Determine the deflection and rotation at B. • • Unknowns are usually displacements Coefficients of the unknowns are "Stiffness" coefficients. The portion of a part within the pressure cone is called a frustum. Gi d d l f tGirder and column factors: • Relative stiffness of a member I k = Girder factor at a joint Relative stiffness of a member k L = Girder factor at a joint ,k of all meeting at the joint g columns = ∑ , g k of all members meeting at the joint = ∑ Column factor at a joint , 1 , k of all meeting at the joint c g k of all members Expansion method The above derivation is exact. 31-08-2017 44 FLEXIBILITY METHOD: introduction to flexibility method 27. Torsion of shafts and springs 17. Introduction • Slope-deflection method is the second of the two classical methods presented in this course. 5. Analyze skeleton structures having secondary effects using stiffness method, 3. 2 Shop welded connections 42 3. Caprani 4. The Direct Stiffness Method: Truss Analysis (Continued) This is an elementary course on Structural Analysis. In contrast a number of direct or indirect tensile strength tests are commonly carried out for rock. Note that in addition to the usual bending terms, we will also have to account for axial effects . Matrix methods of Structural Analysis By Pandit and Gupta Direct Stiffness Method: Plane Frame Example 1Example 111 5 3 1 F1 = 8 kN 3 8 A1=A 3= 0,52 m2 I1=I 3= 0,0062 m4 A2=A 4= 0,26 m2 I2=I 4= 0,0031m4 4 10 4 F2 = 5,3 a b 6 Finite Element Method (FEM) is one of the most popular numerical method to boundary and initial value problems. To solve a problem, the FEM subdivides a large system into smaller, simpler 1. uborka-kvartir. 4. . The maximum deflection at the free end can be calculated as. Considering Factors of Flame Retardant Finishing. This system requires an important initial calibration effort but once the measurements are probed to be correct, the system can be used to test several low cost models with a diagram. 5) Slide No. All equal length segments of the element will deform the same amount. Planetrusses are made up of short thin members inter connected a thin gesto form triangulated patterns. Each of these will be explained below. NPTEL PDF Text Transcription : Available and Included. D. 1. 2 (2006) Gupta method for modal combinations and Rigid/Periodic parts of modes are used. So location of stresses are fussier than normal loads. 4: 453-468, 2018. View Saurav Gokhale, M. The wind tunnel balances are extensively used and are an accurate method for measurements acquisition, with a wide range of measures and a fast response to loads changes. 19 Multiobjective optimization of constrained layer damping treatments in composite plate structures This method provides the values of M a,max and M b,max along the central strip of the slab, as demonstrated in Fig. For major axis buckling, it is pinned at both ends. Devdas Menon, Structural Analysis, Narosa Publishing House, 2008. Reactive dyes are the next to the vat in the rating. A. It is possible to use different order shape functions for unknown approximation and coordinate transformation, known as sub-parametric or super-parametric formulation. 1. ( 15 ) in a finite-dimensional subspace to the Hilbert space H so that T ≈ T h . Dams and Retaining Walls 11. The finite element method is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Derive an expression for shape function and assemble the stiffness matrix for bending in beam elements. The limit analysis method is described in ASME III Div. direct stiffness method nptel

Direct stiffness method nptel
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## Direct stiffness method nptel

direct stiffness method nptel Apr 07, 2021 - Lesson 24: The Direct Stiffness Method: Truss Analysis - Notes, Engineering, Semester Notes | EduRev is made by best teachers of . Test Method D1586 (and last revised in 1984). increase the stiffness of the wall or to carry a vertical concentrated load. Starting from an analogy between a truss framework and a FSAE steel tube frame, Christoph explains the basics of the direct stiffness method using an introductory example of a 3-truss framework. 6 Design Recommendations, 165 7. Yadav, Arvind K. 4. An Introduction to the Finite Element Method, 3rd Edition The finite element method is the most widely used method for solving problems of engineering and mathematical models. Preface vii Acknowledgement ix Part I: Fundamentals Structure 1 (1) Structural Analysis 1 (3) Structure 4 (1) Structural System 5 (1) Structural Idealisation 5 (2) Structural Elements 7 (11) Joints and Internal Stability 18 (9) Supports and External Stability 27 (7) Redundancy and Static Indeterminacy 34 (8) Overall Stability and Static Indeterminacy 42 (3) Kinematic Indeterminacy 45 (2 2. Deflection of Beams 13. BEAMS: STATICALLY INDETERMINATE (9. static& kinematic indeterminacy Stiffness Method for Frame Structures For frame problems (with possibly inclined beam elements), the stiffness method can be used to solve the problem by transforming element stiffness matrices from the LOCAL to GLOBAL coordinates. Hi everyone in this video you can learn about how to identify the DOKI and determination of angles at roller, hinge or point Support by using the stiffness m Assembling the Global Stiffness Matrix from the Element Stiffness Matrices Although it isn’t apparent for the simple two-spring model above, generating the global stiffness matrix (directly) for a complex system of springs is impractical. It is a method for rapid determination of water content from the gas We will now solve this problem by double integration method, for that at first we have to calculate (M x). ppt / . 1 Direct Methods 4. Least Squares method. 6. Limitations: 1. These Shear force, beam, FBD, method of analysis, equation of equilibrium: 2 days: Chapter 4: Bending stress and shear stress: Pure bending moment, direct shear stress: 2 days: Chapter 5: Pure torsion: Pure torsion, composite shafts, springs: 2 days: Chapter 6: Combined stress and strain: Different stress and strains, combined stress and strain: 3 Modules / Lectures : Introduction to different types of ocean structures ; Types of Compliant towers ; New Generation offshore and Coastal structures ; Environmental forces ; Wave forces, Current ; Introduction to Structural dynamics ; Characteristics of single degree - of- freedom model ; Methods of writing equation of motion ; Free and forced vibration of single degree - of - freedom systems Nptel. There exist a wide variety of fibers with widely ranging properties; Figure 1. The Galerkin method – one of the many possible finite element method formulations – can be used for discretization. Rules for calculating the strength, stiffness and deformation capacity of each component are given in prEN 1993-1-8. 7. [4] . Method of Analysis . Formulation of elemental/local stiffness matrix and global stiffness matrix for plane truss. Direct Stiffness Analysis Handouts, Chapter 17 (K) 1 & 2 . 4. • The effect of the gusset thickness, and hence the out of plane stiffness of the end connection, on the ultimate tensile strength is not significant. Use it at your own risk. Fluid dynamics. 2. Thick cylinders and Sphere 19. First, the discretization implies looking for an approximate solution to Eq. Alternate design bolt installation: In this method special bolts are used which indicate the bolt tension. 7. Damped Free Vibrations: Viscous damping, laws of damping, logarithmic decrement. A generalization of the direct-stiffness method of structural analysis. Sharma, “A direct numerical approach to compute the nonlinear rotordynamic coefficient of the non-circular gas journal Bearing”, ‘IMechE Part-J, Journal of Engineering Tribology’, 232. Kenney 2. Recent research Self- learning such as use of NPTEL materials and internets Simulation Course Outcome (CO) Attainment Assessment tools & Evaluation procedure Direct Assessment Assessment Tool % Contribution during CO Assessment Progressive Evaluation 60 End Sem Examination 40 Assessment Components CO1 CO2 CO3 CO4 CO5 In materials science, quenching is the rapid cooling of a workpiece in water, oil or air to obtain certain material properties. 6 Warping shear stress in flanges. The tensile strength is then calculated as the failure tensile force divided by the cross-sectional area. 3. 3 III 2D Elements Types of 2D elements, Formulation of elemental stiffness matrix and Boring Methods of Exploration The boring methods are used for exploration at greater depths where direct methods fail. Driven Assembly of global stiffness matrix and load vector, Properties of stiffness matrix, half bandwidth, Boundary conditions elimination method and penalty approach, Symmetric boundary conditions, Stress calculations. 1 compares some of the different optimized categories. Calculate fixed end forces induced by external loads at the fixed DOF. We analyze an indeterminate As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type. ac. () 2 x xwx Mw. Before applying approximate methods, it is necessary to reduce the given indeterminate structure to a determinate structure by suitable assumptions. The method is the generalization of consistent deformation method. 7 METHODS of ANALYSIS 4. Screen and gf of structural analysis notes and force in the direct stiffness method of a level of matrix notation for download link is our service is six. 2. 2 Bolted cover plate splices 51 4. The seismic forces are dynamic in nature and these forces are tested for load carrying capacity, ductility, dampness, stiffness and mass. We consider first the simplest possible element – a 1-dimensional elastic spring which can accommodate only tensile and compressive forces. I Subsection NB § NB‑3213. 6. a direct outcome of using equation (3. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. See the complete profile on LinkedIn and discover These properties could be in the form of A, B, D matrices which define the stiffness of the laminate. Fig. = 1. Thin cylinders and sphere 18. K Livesley in the 1960s, beat all other methods hands down. The modern development of the finite element method began in 1941 with the work of Hrennikoff in the field of structural engineering. P. PART B 1. collocation method. 7. Indian Institute of Technology, Kanpur 1 Module 4 GROUND RESPONSE ANALYSIS (Lectures 17 to 22) Lecture 22 Topics 4. 1, we obtain the expression for the The above method for the determination of the mechanical properties of the connection is called the component method. To determine the stresses and deflections of such beams, the most direct method is to solve the Euler–Bernoulli beam equation with appropriate boundary conditions. There are several basic steps to solving a problem by the FEM method. Solve realistic engineering problems through computational simulations using finite element code, List of Experiments/ Tutorials: I would like to calculate dynamic stiffness,Kd using this graph using least square method, rms method, average method. 2. If more accurate analyses are desired, it may be necessary to input the stiffness of the column-base-plate connection in the elastic and plastic ranges, and for seismic loading, possibly even the cyclic force-deformation relations. Advanced Structural Analysis Video course COURSE OUTLINE This course mainly deals with matrix analysis of structures. 1 Introduction The finite element method (FEM) is a numerical method to solve differential equations. Saurav has 4 jobs listed on their profile. Member Stiffness By substituting Mnf =M,θn = θ,andθf = Ψ=FEMnf =0into the slope‐deflection eqq,uation, we obtain (1) 4 θ = L EI M “The bending stiffness, , of a member is defined as the moment th t t b li d t d f th b t it K that mus eapplied a an en o ememer o cause a un rotation of that end. 2 Multiple Method 4. Analyze skeleton structures using stiffness method, 2. 5(b)]. 5. 3 Design steps 52 High-performance fibers are those that are engineered for specific uses that require exceptional strength, stiffness, heat resistance, or chemical resistance. D. Books and references. Concrete and steel piles are most common. Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics 4. Niket S. 4 Load Partition and Ultimate Strength, 162 7. This method considers the deflection as the primary unknowns, while the redundant forces were used in the force method. Vedula: Web: IIT Bombay Example. If the angle of rotation of the lamina is given (other than 0 degree), this calculator also constructs the stiffness matrix [ ] and the compliance matrix [ ] in Direct Tension/Compression (only x) Beam bending (only x on top/bottom) Pure torsion (only xy ) Rotating shafts (bending + torsion) – ( x and xy) Problem #S1 A member under load has a point with the following state of stress: 4000 0 10500 , 5500 , 3 psi psiTensile psiCompressive xy x y Determine 1, 2, Learn Structural Analysis MCQ questions & answers are available for a Civil Engineering students to clear GATE exams, various technical interview, competitive examination, and another entrance exam. Method of moments. Method A, specified in S14. This method predicts the pressure distribution throughout the thickness of the grip. 1. Fixed and continuous beams 16. 4. These variations in maximum moment across the width and Engineers are concerned with soil's mechanical properties: permeability, stiffness, and strength. Fix all Degrees of Freedom. Analyze the stresses and compare to allowable using the allowable stress method or interaction formula for eccentric columns. Presently such bolts are not available in India. Analyze the continuous beams using stiffness matrix method 25. 1. Flexibility matrix method: The redundant forces are treated as basic unknowns. R. By using the light of a stroboscope to “freeze” or “slowly move” the stud, quite high-frequency small-amplitude vibrations may be measured. The Boeing Company, Seattle, Wash Matrix method of analysis: flexibility and stiffness method, Application to simple trusses and beam Reference Books 1. NPTEL Subtitle Transcription : Available and Included (SRT) Lecture Titles: Lecture 1 - Introduction Lecture 2 - Overview of Learning Modules While dyeing the reactive groups of reactive dyes forms covalent bond between fibre polymer and dye which makes dye integral part of fibre. The direct stiffness method, first introduced in the 1930s by Collar and Duncan and later further developed by Argyris and Turner and made popular by that classical text book on the subject by R. In applying the method, the system Week 12: Introduction to direct stiffness method. 7. NPTEL Issued Jan 2021. NPTEL Lecture Count : 113. The deﬂection curve, bending moment and shear force diagrams are calculated for a beam subject to bending moment and shear force using direct stiﬀness method and then using ﬁnite elements method by adding more elements. The direct stiffness method was introduced in 1941 by Hrennikoff. They modelled the entire roller screw mechanism as a large spring system composed of individual springs representing various compliances. δB = (3000 N) (5000 mm)3 / (3 (2 105 N/mm2) (8. 6. Plastic design can be viewed as a means whereby the ability of moment redistribution of steel structures is utilized when the structures are loaded beyond their elastic state. JONES; ROBERT E. The fixed pointer or stud, shown in Figure , is attached to the vibrating surface and is used to give an indication of the displacement only. Analysis by substructures using the stiffness method and flexibility method with Clough, Archer, Argyris, and Turner led to the development of the Direct Stiffness Method (DSM) to address various structural design challenges [8]. The FEM is a general numerical method for solving partial differential equations in two or three space variables. 7 Moment Distribution Method 3. Sankarasubramanian from PHI Learning. Before Macaulay’s paper of 1919, the equation for the deflection of beams could not be found in closed form. • Convert the indeterminate structure to a Stiffness Method 1. Introduction to the Finite Element Analysis: 10-09-2008: 10-09-2008: 10-09-2008 Section 7. Dr. 5. Construct the stiffness equation by superposing the member end forces based on the equilibrium equations. 6. A First Course in the Finite Element Method. direct and convenient. Write down the expression of stiffness matrix for a truss element. steel reinforcement, stiffness of the elastomer, and geometric constraints must all be satisfied. JONES. Basis of the Stiffness Method. 29-08-2017 42 Introduction to matrix methods 26. me Lesson 35 D Nptel values of moments, shear and axial forces in various members. - Lec 28 29 a) Calcium Carbide Method Determining Water Content in Soil – Calcium Carbide Method This test is done to determine the water content in soil by calcium carbide method as per IS: 2720 (Part II) – 1973. Member load matrix including lack this method is called method of successive integration Example 9-1 determine the deflection of beam AB supporting a uniform load of intensity q also determine max and A, B flexural rigidity of the beam is EI bending moment in the beam is qLx q x 2 M = CC - CC 2 2 differential equation of the deflection curve qLx q x2 Direct Method Indirect methods Semi-direct methods (Borings) ¾Trial Pits ¾Trenches Geophysical methods ¾Seismic Method ¾Auger Boring ¾ ¾Shell and Auger Boring ¾WashBoring Electrical Resistivity Method Wash Boring Soundingsorpenetrationtests ¾Percussion Drilling ¾Rotary Drilling Soundings or penetration tests ¾Standard Penetration Test 4. 1. 2 . H. It can help demonstrate how progressive failure in buildings really occurs, and identify the mode of final failure. Apply matrix flexibility and stiffness methods 1 03-09-2019 40 Introduction flexibility method 2 04-09-2019 42 Application to continuous beams 3 07-09-2019 43 Application to continuous beams 4 11-09-2019 45 Introduction stiffness method with support settlement 5 14-09-2019 46 Application to continuous beams NPTEL Lectures (39) NRZ (1 Introduces you to an efficient approach to determine the structural properties of a steel tube frame using the direct stiffness method. Toggle navigation. The Direct Stiffness Method for Truss Analysis with Python Udemy Issued Where F is the force in Newton, k is the spring constant or stiffness of the spring (N/mm) and δ is the spring deformation (elongation or compression in mm). 3 Design method 44 3. Identify and label the nodes and the elements. Linear Static analysis is appropriate if deflections are small and vary only slowly. 21 It will be found that most classical mathematical approximation procedures as well as the various direct approximations used in engineering fall into this category. suitable number of releases. C. – direct estimate of settlement Empirical values for Dr and qu of granular and fine soils based on SPT blow numbers >30 Hard >400 15-30 Very stiff 200-400 8-15 Stiff 100-200 4-8 Medium 50-100 2-4 Soft 25-50 2 Very soft <25 N Consistency qu (kPa) Clay Sand & Silts >38 35 – 38 32 – 35 30 – 32 <30 Friction angle, deg Very dense >50 85 Given the material properties of a unidirectional lamina, this calculator constructs the stiffness matrix [C] and the compliance matrix [S] of the lamina in the principal directions. 5. Did the section pass the stress test? - If not, do you increase r or A or S? - If so, is the difference really big so that you could decrease r or A or S to make it more efficient (economical)? 6. Different equations for bending moment were used at compatibility methods, such as method of consistent displacements, force and equilibrium Methods CO2 Perform structural analysis using the stiffness method. Truss Structures: Direct Stiffness Method Fundamentals of Finite Element Analysis. Deflection in cantilevers 14. NPTEL Syllabus. Flexibility Method 3 7. M" Before Discussion Of this Method, we have to study some concepts: 1. S. 259 183 5MB Read more. As shown, the maximum moments are less elsewhere. Theory of FEM is developed on Variational methods. Substructure Approach in Soil Structure Interaction. 3. 2. The author shall not be liable to any viewer of this site or any third party for any damages arising from the use of this site, whether direct or indirect. 3,4 Pure torsion stresses in flange and web. 3. Suresh Kumar: Web: IIT Bombay Studying CVL756 Advanced Structural Analysis Instructor Suresh Bhalla at Indian Institute of Technology Delhi? On StuDocu you find all the lecture notes, summaries and study guides for this course stiffness- to- weight ratio of the part (Kalpakjain & Schmid)-8-Electrochemical Machining (ECM) Introduction Electrochemical machining (ECM) is a metal-removal SHEAR AND TORSION David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 June 23, 2000 Complex stiffness method for damping properties of woven composites 29 May 2017 | Journal of Reinforced Plastics and Composites, Vol. In such situations, macroscopic approach could be used for structural analysis of the laminate. 3 Kinematic Interaction 4. Most foundation failures are related to excessive 1,2 Direct shear stresses in flange and web due to principal bending. Consider any section XX at a distance ‘x’ from free end which is left end as shown in figure. 5. • In the slope-deflection method, the relationship is established Macaulay’s Method is a means to find the equation that describes the deflected shape of a beam. 3 Joint Stiffness, 162 7. Direct tension indicator method: In this method special washers with protrusions are used [Fig. Truss Structures: Direct Stiffness Method. Fig 1 Spring Loading apparatus Introduction to direct stiffness method-Rotation of axes in two dimensions, stiffness matrix of elements in global co- ordinates from element co-ordinates- assembly of load vector and stiffness matrix, solution of two span continuous beam-single bay single storey portal frame. Force method for beams and trusses 2 5. Sub-domain method. Direct and Bending Stress 10. The same procedure yields the other two 4. VERY VERY Discretization means dividing the body (system) into an equivalent system of finite elements with associated nodes and elements. 6 SOIL-STRUCTURE INTERACTION 4. Before applying approximate methods, it is necessary to reduce the given indeterminate structure to a determinate structure by suitable assumptions. 3 for a slab simply supported on all sides. The above equation may also be written as aF u = (23. Three or more spans in each direction. It also has an ability to This technique, which is the basis for all considerations within that episode, is a classic first step to explore the Finite Element Method (FEM). e. 3 . . Varma Example 2. Method of Weighted Residuals Fundamentals of Finite Element Analysis. For slabs on beams, for one panel. So the DHR for a subject structure is determined through the modified Eq. I want to model soil-structure interaction using linear spring method. In selecting the boring method for a particular job, consideration should be made for the following: The materials to be encountered […] Finally de res recetas a1605c review paper towel ted talk buy jane taylor jewelry aig direct deposit form johannes huebl facebook autoescuela alardos alcorcon cocuk ilahileri youtube work plan seminar 2013 fifa 10 world cup song john. in Aeronautical Strength Of Materials Course Strength Of Materials [546grmgdz8n8]. 27. Note that we are assuming the deformation is linear over the element. Derive an expression of shape functions and the stiffness matrix for one dimensional bar element based on global co-ordinate approach. Kaisare. 4 Methods of strengthening 7 2. and Chapter 2, 3 & Sections 5. NPTEL Co-ordinating Institute : IIT Madras. - NPTEL team محاضرة ديوية Dr. One distinct feature of FEM is that it can be generalized to the domains of any arbitrary geometry. Orig inally, this method was de veloped to solve Notes and global stiffness method of structural analysis lecture notes for your knowledge. The ASTM sanctioned sampler and its dimensions are shown in Fig. lesson 35 d nptel, it is completely simple then, back currently we Lesson 35 D Nptel - poplin. Symmetry-Antisymmetry Handouts, Chapter 10 of direct stiffness and related methods was recently conducted by Samuelsson. The pressure cone for a joint can be visualized in the diagram below. However, a direct method which is often used is to consider the element in See Increments of the components of stress in the x-direction The summation of the forces in the x-direction gives: Dividing by Δ x Δ y Δ z and taking the limit yields Eq. pdf 729. How to change the spring/bush stiffness values using damping values. The basic working principle of a DC motor is based on the fact that whenever a current carrying conductor is placed inside a magnetic field, there will be mechanical force experienced by that conductor. 1 Scope 51 4. • Direct stiffness method is limited for simple 1D problemsDirect stiffness method is limited for simple 1D problems • PMPE is limited to potential problems • FEM can be applied to many engineering problems that areFEM can be applied to many engineering problems that are Structural Analysis IV Chapter 4 – Matrix Stiffness Method 10 Dr. Analysis of Beam Using Stiffness Matrix Method with Settlement Condition. It is thus difﬁcult to determine the origins of the ﬁnite element method and the precise moment of freedom, Equilibrium method, The energy method, Rayleigh’s method, Stiffness of spring elements. The use of the force method to analyse a beam structure with a support settlement will be illustrated using the example structure shown in Figure 8. The development of the direct stiffness method originated in the 1940s and is generally considered the fundamental of finite element analysis. 5 Effect of Joint Geometry, 163 7. Therefore, other design values can be reduced according to the variation shown. 1 Illustration of Soil-Interaction Effects 4. It provides a comprehensive approach to the analysis of a The additions represent some departures from the spirit of the first edition. 5 Normal warping stress in flanges. For safe, economical and sound provision of formwork, it is essential to design the same as structural member even though it is of temporary nature. During designing a flame retardant clothing, several things should be kept in mind. MCESE 105 – 1* ADVANCED ANALYSIS OF STRUCTURES Module 1: Matrix methods Review of work and energy principles-Maxwell, Betti, Castigliano theorems- principles virtual work-Classification of structures–discrete structures–elements–nodes–degrees of freedom– static& kinematic indeterminacy Stiffness method–coordinate systems–element stiffness matrix. These depend primarily on the nature of the soil grains, the current stress, the water content and unit weight. In these methods flexibility and stiffness properties of members are employed. An Introduction to Finite Element Methods Introduction to the Finite Element Method, Fourth Edition, covers: • Mathematical preliminaries and classical Stiffness Matrices, Spring and Bar Elements Fundamentals of Finite Element Analysis. w A B L LECTURE 18. System coordinates - Element Stiffness Matrix - System displacements - Element forces - Final forces Mar 22, 2021 - The Direct Stiffness Method Truss Analysis (Contd) Notes | EduRev is made by best teachers of . 5 107 Nmm. This example contains 6 parts. Stiffness method of analysis of structure also called as displacement method. Structures, Force and stiffness methods of analysis, Plane trusses by using method of consistent deformations, Beams and frames: Plane trusses by using direct stiffness method CE 242 ENGINEERING GEOSCIENCES Earth System: Lithosphere, Hydrosphere, Cryosphere and atmosphere and their iinteractions Solid Earth : Shape, size, interior of the solid Page 1 NPTEL- GEOTECHNICAL EARTHQUAKE ENGINEERING Dept. , mechanical elements are drawn perpendicular to the electrical elements so the each loop in the electrical circuit becomes a position in the mechanical circuit). 3. The stresses vary depending on end restraints along the beam. See . Deflection of beams - double integration method - Macaulay's method - slope and deflection using moment area method, Conjugate Beam method - variation of shear stress - shear stress distribution in rectangular, I sections, solid circular sections, hollow circular sections, angle and channel sections - shear flow - shear centre. L/B 2. 3. Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. This method is a powerful tool for analysing indeterminate structures. This document is highly rated by students and has been viewed 361 times. A short review for solving the beam problem in 2D is given. Baseline References on the SPT procedure Many of the SPT correlations have been explored, and there exist no small number of problems, requiring considerable judgment. This document is highly rated by students and has been viewed 276 times. of the pts of application of various forces involved - based on the concept of work done by a force The Stroboscope Method. It begins with a review of the basic concepts of structural analysis and matrix algebra, and shows how the latter provides an excellent mathematical framework for the former. 13 L Real beam Conjugate beam Ł Stiffness Coefficients Derivation M Mj i L/3 θi L Mi +M j EI M j EI Mi θι EI M j L 2 EI MiL 2 2 (1)) 0 3 2)(2) (3)(2 ’ 0: (= −−− + Σ = − + = i j i j i M M L EI L M L Our second example on the Stiffness Method! I promise it will not be as long as the first example. in/noc. Rajput, Nathi Ram and Satish C. 2. S. This method determines the load at which a plastic hinge occurs, and is well suited for analysis of compressive loads, or bending of pipe elbows and non‑compact beams. The principles of the component method are based on Zoetemeijer’s work [Zoetemeijer, 1983b]. Ramamrutham Dhanpat Rai Publishing company Structural Analysis Devdas Menon Narosa Publication Matrix Methods of Structural Analysis EQUIVALENT FRAME METHOD • most commonly used method • the flat slab structure is divided longitudinally and transversely into frames consisting of columns and strips of slabs with : – stiffness of members based on concrete alone – for vertical loading, full width of the slab is used to evaluate stiffness CE 405: Design of Steel Structures – Prof. The local stiffness matrix for a spring is that of a truss however with entries equal to the spring stiffness k An indeterminate truss is supported and loaded as shown above, using the direct stiffness method, obtain the displacements, support reactions, and internal forces that are induced in the members due to the externally applied loads, (EA = Constant, dimensions in mm). I. NPTEL Subject Matter Expert : Dr. 1 Selecting Footing Size and Reinforcement. T’S profile on LinkedIn, the world’s largest professional community. (Diploma/ UG/ PG) Field visit( Fatehgunj bridge, GERI laboratory, vanakbori thermal power station, Ajwa dam) The stiffness of the grip is determined by calculating based on a simplified pressure-cone method as presented by Shigley. This method is rarely used in practice as it involves large computation and is very complex to analyze. Download Free Sample PDF and Get Upto 29% OFF on MRP/Rental. There are two classifications of direct integration: explicit and implicit. , E. 1. Figure 7. ” By setting θ=1radin Eq. Jones et al. Academia. The modulus of elasticity may also be characterized as the “stiffness” or ability of a material to resist deformation within the linear range. 23. What is a Permanent Magnet DC Motor (PMDC Motor)? In a DC motor, an armature rotates inside a magnetic field. Displacement (Stiffness) Method Express local (member) force -displacement relationships in terms of unknown member displacements. Formation of Soils: Soil is formed from rock due to erosion and weathering action. Understanding of the meaning of bending moment, shear force, and second order analysis, end moments, etc is probably more important than the method. • The effect of shear lag, and hence the strength reduction, is higher when the ratio of 2. 1. x. 1 Approximate Method of Analysis, 165 7. 1. 5. ac. 3. In the stiffness, or displacement method the solution of a problem is regarded as the sum of particular and complementary solutions. FEA Overview - Free download as Powerpoint Presentation (. Stiffness Method applied to Large Frames: Local Coordinates and Global Coordinates. 22 ∴=− =− We know that differential equation of elastic line 22 2 dy wx EI dx 2 =− Integrating both sides we get 22 The general method used is called direct integration. Pile driving is achieved by: impact dynamic forces from hydraulic and diesel hammers; vibration or jacking. We use an arrow along the member to indicate the direction from the start node to the end node. Two examples are then given illustrating their use. K. 3 Design method 4 2. Direct design method, that could have been named the direct analysis method because it determines or prescribes moments for different parts of the slab panel without the need to conduct structural analysis, is explained in the following sections. This approach presented could be considered macroscopic in nature as equivalent section properties are derived and used in Abaqus section definition. A visual method can be done, but will not be discussed here. The ASCE4-98 definitions are used where there is no conflict. Structural Dynamics Numerical Integration in Time The first, and simplest, is an explicit method known as the central difference method. and finally we can write as [K][d] ={F} on multiplying with [K]-1 on both sides of above equation we get [d] =[K]-1[F] The direct stiffness method must be used instead. 6 Stiffness, flexibility, carry over Factor & Distribution Factor 3. Set up the coordinate system. It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. This The direct stiffness method is used mostly for Linear Static analysis. Analyze the continuous beams using flexibility matrix method 2. 9. • To derive the stiffness matrix for the beam element with nodal hinge • To show how the potential energy method can be used to derive the beam element equations • To apply Galerkin’sresidual method for deriving the beam element equations CIVL 7/8117 Chapter 4 - Development of Beam Equations - Part 1 1/39 Although there are several finite element methods, we analyse the Direct Stiffness Method here, since it is a good starting point for understanding the finite element formulation. LL 2 DL 4. Q is the total change in length of the element. L. 3 Design Approach. Transformation Matrix, Assembly of Global/ Structural stiffness matrix up to (8x8). Direct stiffness method to construct a stiffness model of the roller screw mechanism was used by Mattew. It is similar to the method for drawing dual circuits (i. lesson 35 d nptel, it is completely simple then, back currently we Lesson 35 D Nptel - poplin. 7. txt) or view presentation slides online. Compare flexibility method and stiffness method. Also how it differs if it is undamped,underdamped,critical damped,overdamped structure. Connections in multi-storey frames are most likely to be bolted, full depth end plate connections or extended end plate connections. 196 107 mm4)) = 7. F & B. CO3 Solve multiple degree of freedom two and three dimensional problems involving trusses, beams, frames and plane stress CO4 Understand basic finite element analysis where is the modulus of elasticity of concrete in kg/cm (3 10), is the thermal coefficient of concrete per C (1 10) is the temperature difference between the top and bottom of the slab, and are the coefficient based on in the desired direction and right angle to the desired direction, is the Poisson's ration (0. 1 Scope 42 3. The height of the beam is 300 mm and the distance of the extreme point to the neutral axis is 150 mm. 5. Key words: pile load capacity calculation, Eurocode 7, α – method and β – method, direct methods based on CPTu data 1. But direct analytical solutions of the beam equation are possible only for the simplest cases. Stiffness Matrices, Spring and Bar Elements Fundamentals of Finite Element Analysis. In short, the DMDHR identification method is able to capture nonlinear DHR without a specific numerical model for a subject structure. In the method of displacement are used as the basic unknowns. 3 Number of Regions, 164 7. These methods have been developed in conventional and matrix forms. 2-21 (modified Rosenblueth) is used for close mode interaction of the damped periodic portion of the modes. Structural Analysis MCQ question is the important chapter for a Civil Engineering and GATE students. Analysis of Frame Structure 12. 4. Mechanical 2 (Force-Voltage) to Electrical. The use of a centrifuge enhances the similarity of the scale model tests involving soil because the strength and stiffness of soil is very sensitive to the confining pressure. pdf 728. ASCE4-98 Eq. The discovery of carbon nanotubes has opened new possibilities to face challenges better. These provide both disturbed as well as undisturbed samples depending upon the method of boring. 1: Illustration of Direct Analysis of Soil Structure Interaction with the help of Finite elements. Many articles i have checked but all of them using non-linear This site is for Civil engineering students. E (Steel) ≈ 30 x 106 psi E (Aluminum) ≈ 10 x 106 psi E t ⇒ Tangent Modulus - Slope of the stress-strain curve above the proportional limit. (c) Draw the quantitative shear and bending moment diagrams. • Using equilibrium of assembled members, find unknown displacements. 2. Mmax = (3000 N) (5000 mm) = 1. 1. 3. Direct stiffness for beams, plane frames, Truss 3 6. Most of these problems are discussed in the following articles: Method 1. Design methods Two design methods are allowed by the AASHTO-LRFD Specifications. We will formulate the equations for two direct integration methods. now summing up all the elemental stiffness matrices to get global matrix with the the help of direct stiffness method to get [K] and similarly summing up all the elemental force matrices we get {F} the global force vector. A type of heat treating, quenching prevents undesired low-temperature processes, such as phase transformations, from occurring. 6: the normal and shear stress acting on an arbitrary plane through a Naturally this method is more by experimentation rather than proper structural design. 26. Conjugate Beam Method and Propped cantilevers 15. Wang. A more efficient method involves the assembly of the individual element stiffness matrices. 36, No. 2. 8 Numerical to draw S. 3. Forced Vibration with Harmonic Excitation: Steady state solution with viscous damping, Method of complex algebra, Reciprocating and rotating unbalance, Base excitation, Lecture 38 - Development of Mass, stiffness and damping matrices of TLP from first principles Lecture 39 - Estimate of classical damping Lecture 40 - TLPs under seismic excitation Lecture 41 - Direct Integration method Lecture 42 - Development of new generation offshore structures Lecture 43 - Introduction to stochastic dynamics of ocean structures Method 1. Credential ID Final Score: 94% , Elite + Gold Certificate, Top 2%. The number of equations involved is equal to the degree of static indeterminacy of the structure. 6 mm. Solid Mechanics Part II 207 Kelly 1. They have high strength-weight ratio, better stiffness, economical production, and ease of availability of raw materials. Galerkin method. It involves assembling of stiffness matrices of structural members into the stiffness matrix of the whole system. Use direct stiffness method understanding its limitations Syllabus Contents: Influence Coefficients: Physical Significance, Effects of Settlements, Temperature Change and Lack of Fit, Member Approach and Structure Approach. Yarn numbering: Direct, Indirect. 2 Basic Approach 4. Various methods and their underlying mechanics in determining response of structures when subjected to external agitation will be discussed in this course. [Download ##download##] Module-6 Note 112101001: Mechanical Engineering: Second Level Course in Heat Transfer: Prof. 4 Inertial Interaction 4. The information on this website is provided without warantee or guarantee of the accuracy of the contents. 08 20 The finite element method. K Livesley in the 1960s, beat all other methods hands down. The need for a simple method to predict the non-linear behaviour of a structure under seismic loads saw light in what is now popularly known as the Pushover Analysis (PA). The mulvihill vml bd novice 23 2012 artistas puertorriquenos? How famosos grovia. Augmenting the direct stiffness method and performing the analysis in Matlab In order to perform the analysis, please find the local stiffness matrix for a truss in your class notes. Finally, all mass, damping, stiffness coefficients on all DOFs can be determined. 2 – 5. ROBERT E. edu is a platform for academics to share research papers. To simulate linear spring in abaqus we want spring stiffness. The cold pad-batch method can be used to reduce the stiffness and also increase the wash-fastness. • The thickness of the angle has no significant influence on the member strength. pptx), PDF File (. 1 Determine the elastic section modulus, S, plastic section modulus, Z, yield moment, My, and the plastic moment Mp, of the cross-section shown below. 29 Statically Indeterminate ENES 220 ©Assakkaf Transversely Loaded Beams Illustrative Example using the Integration Method – Equilibrium Finite element method Discover a simple, direct approach that highlights the basics you need within A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. Apply unit displacements and calculate member end forces at the DOFs. Dr. and Restrained displacement; Programming direct stiffness method. ACI 318-11 Code provides two methods for two way slab design one of which is direct design method. 1 Collocation Method In this method, the weighting functions are taken from the family of Dirac δfunctions in the domain. Derive element properties and analyze structure using finite element method, 4. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. stiffness is overestimated, or excessive ﬁrst-ﬂoor column sizes if the stiffness is underestimated. 1 Individual Element We consider here the most basic form of stiffness analysis. After the revolution occurred in the field of computing direct stiffness method is preferred. It also Week 12: Introduction to direct stiffness method. Nov 8, 2016 - Structural Analysis and Design of Industrial Building The aim of the project “Structural Analysis and Design of Industrial Building” is to develop a Normal As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type. To demonstrate the method, vibratory behaviour of thermally stressed Geotechnical centrifuge modeling is a method of testing physical scale models of geotechnical problems. Flexure Elements Fundamentals of Finite Element Analysis. A. 2) Version 2 CE IIT, Kharagpur Page 5 Module 4 Analysis of Statically Indeterminate Structures by the Direct Stiffness Method Version 2 CE IIT, Kharagpur Lesson 23 The Direct Stiffness Method: An Introduction Version 2 CE IIT, Kharagpur Instructional Objectives: After reading this chapter the Introduction The systematic development of slope deflection method in this matrix is called as a stiffness method. Indeterminate Structures by J. Determination of Two way slab thickness: Stiffness Reduction for the Direct Analysis Method The Direct Analysis method requires a reduction in the axial and flexural stiffness of some members. 3. 1111 222 2 12123 3 0 0 x x x kkuF kku F kkkku F (1) 11 (2) 22 (1) (2) 33 3 0 0 xx xx xx x fF fF ff F The Stiffness Method – Spring Example 1 To avoid the expansion of the each elemental stiffness matrix, we can use a more direct, shortcut form of the • We learned Direct Stiffness Method in Chapter 2 – Limited to simple elements such as 1D bars • we will learn Energy Methodto build beam finite element – Structure is in equilibrium when the potential energy is minimum • Potential energy: Sum of strain energy and potential of applied loads • Interpolation scheme: vx x() {}Nq Beam I did the direct stiffness method at school and the Professor spent a lot of time on it. 5. III Basic concept, Degree of Freedom, Basic concept of Direct Stiffness Method. 5 Design steps 8 3 WELDED BEAM TO COLUMN CONNECTIONS 42 3. nptel calculations 111101004: Mathematics: Introduction to Probability Theory: Dr. The artificial In this less on the direct stiffness method as applied to planar truss structure is discussed. N College of Engineering: 36. (16) 2. K. This is done to account for the non-linear material effects caused by residual stresses. Programing the Finite Element Method with Matlab Jack Chessa 3rd October 2002 1 Introduction The goal of this document is to give a very brief overview and direction in the writing of nite element code using Matlab. Books and references. In a direct tensile strength test a cylindrical rock specimen is stressed along its axis by means of a tensile force. Properties: Yarn Twist, Twist Direction, effect of twist on yarn and fabric properties. Mustafa Kamal Mahmood Al-Kamal The Stiffness Method – Spring Example 1 The above equations give: Apply the force equilibrium equations at each node. 4. 1 Effect of Variation in An/As Ratio and Joint Length, 163 7. Thickness of a pier is the overall thickness including the thickness of the wall or, when bounded into a limb of cavity wall, the thickness obtained by treating that limb as an independent wall. Using the same shape functions for both unknown approximation and coordinate transformation is known as iso-parametric formulation. From this equation, any deflection of interest can be found. (b) Determine all the reactions at supports. Its length is 20 ft. FLEXIBILITY METHOD . 3. Indeterminate Structures By C. 2 Number of Fasteners per Region, 163 7. This method of analysis is also important for design of elements of RCC buildings like beam, column, slab which are designed in accordance to IS 13920:2016. We also consider that it can only move in the x-direction. (13) The particular solution is that pertaining to the structure with its nodal displacements inhibited and can usually be written down with little computation. Putting simply, PA is a Buy Computational Structural Mechanics PDF Online by S. 7. For instance, if 3. 5 104 Nm. Analysis of Statically Indeterminate Structures by the Direct Stiffness Method\truss analysis cont. INTRODUCTION . Yarn Count: British count, Metric count, Tex, Denier count, Standard method of determination of yarn count with electronic balance. Rajasekaran, G. Hence, they are known for its enhanced fastness property. 1. The textile fiber‘s thermal behavior; The influence of fabric structure on the thermal behavior Curso Nptel - Finite Element Analysis [pon2x3x1gjl0]. The soil structure interaction activity is divided into two parts. Beams and Shafts: Boundary conditions, Load vector, Hermite shape functions, Beam stiffness matrix based on Euler-Bernoulli beam theory, Examples on cantilever beams, propped cantilever beams, Numerical problems on simply supported, fixed straight and stepped beams using direct stiffness method with concentrated and uniformly distributed load. Linear Static analysis omits time as a variable. The appropriate method should be used for a given problem. FEMA P-751, NEHRP Recommended Provisions: Design Examples 5-6 5. Using the torsion formula i. These are the two basic methods by which an indeterminate skeletal structure is analyzed. Damping forces Damping forces are related to velocities of nodes through damping matrix. Variation in successive spans 33% ( . 20 50 4 Special Problems: Member discontinuities, Non-prismatic members, curved members, beams on elastic supports, semi-rigid connections, effect of shear deformations by stiffness method, Sub-structure analysis and symmetry concepts. e SPRING DEFLECTION Spring striffness: The stiffness is defined as the load per unit deflection therefore Shear stress WAHL'S FACTOR : In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor K = Wahl' s factor and is defined as Where the stiffness matrix: Note that the system stiffness matrix is: (1) symmetric, as is the case with all linear systems referred to orthogonal coordinate systems; (2) singular, since no constraints are applied to prevent rigid body motion of the system; (3) the system matrix is simply a superposition of the individual element stiffness The built-in beams shown in the figure below are statically indeterminate. Column offset 10% in each direction. Approximate Methods 2 Text Book(s): Title Author/s Publication Theory of Structures S. uborka-kvartir. 15), is the radius of the contact area and is the radius of the relative stiffness. Devdas Menon, Structural Analysis, It will be e-verifiable at nptel. NPTEL CIVIL ENGINEERING COURSES - National Programme on Technology Enhanced Learning, a Joint Venture by Indian Institutes of Technology & Indian Institute of Science; and Funded by the Ministry of Human Resource Development, Government of India, India Multimedia Civil Engineering Courses (Text, Images, Videos/Movies & Audio/Sound). direct stiffness method: Step 1: Select the problem units. 4 Design steps 44 4 SPLICES 51 4. The direct stiffness method is the most common implementation of the finite element method. Carbon Nanotubes are known for their high mechanical strength, excellent thermal and electrical properties. This structure is a two span beam with a roller support at the right end that settles downwards by $45\mathrm{\,mm}$. Igneous rock is the basic rock formed from the Types of moment resisting connections. INTRODUCTION Piles can be either driven or cast in place. Direct Stiffness Method Deformations due to axial forces are not neglected. As the bolt is tightened, these protrusions are compressed and the gap As a result, a more economical design due to material saving can be achieved when using the plastic design method. 2 Connected Material, 170 Integration Method – Determine the reactions at the supports for the simply supported cantilever beam of Figure 35 in terms of w and L. Varma EXAMPLE 3. For each element select a start node (node 1) and an end node (node 2). NPTEL HRD – Introduction to 10. me Lesson 35 D Nptel values of moments, shear and axial forces in various members. The direct stiffness method, first introduced in the 1930s by Collar and Duncan and later further developed by Argyris and Turner and made popular by that classical text book on the subject by R. 2. Analysis of Statically Indeterminate Structures by the Direct Stiffness Method\stiffness method Truss analysis. Analysis of Beam Using Stiffness Matrix Method with Settlement Condition. Slope deflection method: Fundamentals, sign convention, equilibrium equation, analysis steps: Chapter 7: Methods of structure analysis: Force method, displacement method: Chapter 8: Matrix method of analysis: Definition, types of matrix, properties of determinants, basic matrix operations, development of flexibility and stiffness matrix Finite Element Method - Direct Stiffness Method: 13-09-2008: 13-09-2008: 13-09-2008: Guest Lecture Delivered - Short term course on Finite Element Analysis Using ANSYS at K. Here conventional methods are discussed. 12. textile dyeing of cotton, vat dyes have been proven to have excellent fastness properties over other dyes. NPTEL Course Size : 44 GB. Moment resisting connections are used in multi-storey un-braced buildings and in single-storey portal frame buildings. To be absolutely honest I found it wasn't really worth the time we spent on it. 1 Determine the buckling strength of a W 12 x 50 column. pdf), Text File (. CE 405: Design of Steel Structures – Prof. Assume ei to the method lecture notes and the formulation for structural engineering. -Method of Virtual Work is suitable for analysis of multi-link structures (pin-jointed members) which change configuration-effective when a simple relation can be found among the disp. It considers the material to behave in an elastic-perfectly plastic manner. L over full span using Moment Distribution Method Composite engineering comprises of metal matrix composites. Direct Design Method "D. We represent a structural member by a spring which has a node (or connection) at each end. of Civil Engg. Assignment 3: form local stiffness matrix for a truss element e oriented at an arbitrary angle to the global x-axis function[stiff_loc_truss]=ass3_groupn(X,icon,e,spring_constant) % programme to calculate stiffness matrix of a 2-noded truss element in the global X-Y system Form stiffness in local coordinates Find transformation matrix k = the element stiffness, A = the cross sectional area of the element, E = Young’s modulus for the material, and L = the length of the element. Solve the iffnessst equation. finite element Saurabh K. In that edition's preface it was noted that, in concentrating on the direct stiffness method, we were dealing with an accredited, widely practiced procedure, whereas an earlier gen-eration of texts frequently dealt with subject matter that was not fully crystallized. 8,515 2,802 12MB Read more. column and struts 20 NRC Regulatory Guide Rev. 6 SOIL 1. M Diagram of two or three span continuous beams having end supports as overhang , fixed and / or hinge and subjected to Central Point Load and/ or U. 6, is applicable to plain, steel reinforced and fiber glass reinforced elastomeric pads as well as cotton duck pads. NPTEL provides E-learning through online Web and Video courses various streams. It is assumed that the reader has a basic familiarity with the theory of the nite element method, A direct numerical integration method is employed to compute the non-linear frequencies of thermally stressed structures. Civil Engineering(Extra material)\structures\Structural Analysis 2\4. Displacement method - Internal forces due to thermal expansion and lack of fit - Application to symmetrical structures - Code system in the stiffness methods - Computer program for the code system - Comparison between stiffness and flexibility methods. 6. 12) in 1D. Ahinge connection can only transmit forces from one member to another member but not the moment. 01-09-2017 45 Analysis of continuous beams without settlement of supports 28. To have an efficient dyeing operation, dyer has responsibility of controlling his system variables such as temperature, time, liquor ratio, dye concentration, pH, chemicals, salt and so on. The Slope-deflection method was used for many years before the computer era. . That is, Wi(x)=δ 8 5 kN 6 m 6 m A B C Example 1 For the frame shown, use the stiffness method to: (a) Determine the deflection and rotation at B. • • Unknowns are usually displacements Coefficients of the unknowns are "Stiffness" coefficients. The portion of a part within the pressure cone is called a frustum. Gi d d l f tGirder and column factors: • Relative stiffness of a member I k = Girder factor at a joint Relative stiffness of a member k L = Girder factor at a joint ,k of all meeting at the joint g columns = ∑ , g k of all members meeting at the joint = ∑ Column factor at a joint , 1 , k of all meeting at the joint c g k of all members Expansion method The above derivation is exact. 31-08-2017 44 FLEXIBILITY METHOD: introduction to flexibility method 27. Torsion of shafts and springs 17. Introduction • Slope-deflection method is the second of the two classical methods presented in this course. 5. Analyze skeleton structures having secondary effects using stiffness method, 3. 2 Shop welded connections 42 3. Caprani 4. The Direct Stiffness Method: Truss Analysis (Continued) This is an elementary course on Structural Analysis. In contrast a number of direct or indirect tensile strength tests are commonly carried out for rock. Note that in addition to the usual bending terms, we will also have to account for axial effects . Matrix methods of Structural Analysis By Pandit and Gupta Direct Stiffness Method: Plane Frame Example 1Example 111 5 3 1 F1 = 8 kN 3 8 A1=A 3= 0,52 m2 I1=I 3= 0,0062 m4 A2=A 4= 0,26 m2 I2=I 4= 0,0031m4 4 10 4 F2 = 5,3 a b 6 Finite Element Method (FEM) is one of the most popular numerical method to boundary and initial value problems. To solve a problem, the FEM subdivides a large system into smaller, simpler 1. uborka-kvartir. 4. . The maximum deflection at the free end can be calculated as. Considering Factors of Flame Retardant Finishing. This system requires an important initial calibration effort but once the measurements are probed to be correct, the system can be used to test several low cost models with a diagram. 5) Slide No. All equal length segments of the element will deform the same amount. Planetrusses are made up of short thin members inter connected a thin gesto form triangulated patterns. Each of these will be explained below. NPTEL PDF Text Transcription : Available and Included. D. 1. 2 (2006) Gupta method for modal combinations and Rigid/Periodic parts of modes are used. So location of stresses are fussier than normal loads. 4: 453-468, 2018. View Saurav Gokhale, M. The wind tunnel balances are extensively used and are an accurate method for measurements acquisition, with a wide range of measures and a fast response to loads changes. 19 Multiobjective optimization of constrained layer damping treatments in composite plate structures This method provides the values of M a,max and M b,max along the central strip of the slab, as demonstrated in Fig. For major axis buckling, it is pinned at both ends. Devdas Menon, Structural Analysis, Narosa Publishing House, 2008. Reactive dyes are the next to the vat in the rating. A. It is possible to use different order shape functions for unknown approximation and coordinate transformation, known as sub-parametric or super-parametric formulation. 1. ( 15 ) in a finite-dimensional subspace to the Hilbert space H so that T ≈ T h . Dams and Retaining Walls 11. The finite element method is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Derive an expression for shape function and assemble the stiffness matrix for bending in beam elements. The limit analysis method is described in ASME III Div. direct stiffness method nptel

Direct stiffness method nptel