000			06592nam a22001577a 4500
020			_a9788185594088
082			_a624.171 _bMEG
100			_aMeghre, A. S.
245			_aMatrix methods of structural analysis _btheory, examples and programs
260			_aAnand _bCharotar Publishing House Pvt. Ltd. _c2003
300			_axii,540p.
520			_aCONTENTS Chapter 1: INTRODUCTION 1-26 1-1 General 1 1-2 Classification of structures 2 1-3 Conditions of structural analysis 4 1-4 Methods of analysis 5 1-5 Degree of static indeterminacy 7 1-6 Degree of kinematic indeterminacy 13 1-7 Force and displacement 15 1-8 Force displacement relations 15 Exercises I 22 Chapter 2: FLEXIBILITY METHOD 27-66 2-1 General 27 2-2 Flexibility method 27 2-3 Calculation of displacements 36 2-4 Examples of statically indeterminate structures 37 2-5 General approach in flexibility method 42 2-6 Examples 44 2-7 Concluding remarks 61 Exercises II 61 Chapter 3: STIFFNESS METHOD 67-110 3-1 General 67 3-2 Continuous beam (I) 67 3-3 Frames without sway and axial deformations 81 3-4 Total joint load 85 3-5 Bar assembly 87 3-6 Spring assembly 91 3-7 Shaft 93 3-8 Continuous beam (II) 94 3-9 Concluding remarks 105 Exercises III 106 Chapter 4: PLANE TRUSS 111-206 4-1 General 111 4-2 Stiffness matrix of a member 111 4-3 Joint equilibrium equations 115 4-4 Member force 117 4-5 Examples 118 4-6 Member stiffness matrix - alternate approach 124 4-7 Preliminaries to program 128 4-8 Flow chart 4-9 Data 4-10 Data file 4-11 Results 4-12 Computer program TRUSS 1.FOR 4-13 Listing of program TRUSS1.FOR 4-14 Stiffness matrix in half band form 4-15 Computer program TRUSS2.FOR 4-16 Examples using TRUSS2.FOR 4-17 Listing of program TRUSS2.FOR 4-18 Reactions and boundary conditions 4-19 Data type II 4-20 Computer program TRUSS3.FOR 4-21 Examples using TRUSS3.FOR 4-22 Listing of program TRUSS3.FOR 4-23 Analysis of symmetric trusses 4-24 Inclined support Exercises IV Chapter 5: SPACE TRUSS 5-1 General 5-2 Stiffness matrix of a member 5-3 Equilibrium of a joint 5-4 Axial force in member 5-5 Illustrative example 5-6 Computer program STRUSS.FOR 5-7 Listing of program STRUSS.FOR 5-8 Examples using program 5-9 Stiffness matrix of a member - alternate approach 5-10 Establishing member axes Exercises V Chapter 6: PLANE FRAME 6-1 General 6-2 Stiffness matrix of a member 6-3 Joint equilibrium conditions 6-4 Member forces 6-5 Numerical example 6-6 Flow chart 6-7 Computer program PFRAME.FOR 6-8 Listing of program PFRAME.FOR 6-9 Examples using program 254 6-10 Internal hinge in member 260 6-11 Neglecting axial deformations 263 6-12 Inclined roller support 268 6-13 Cable supported beam 273 Exercises VI 277 Chapter 7: GRID 7-1 General 7-2 Stiffness matrix of a member 7-3 Joint equilibrium conditions 7-4 Member forces 7-5 Torsion constant 7-6 Examples 7-7 Computer program GRID.FOR 7-8 Listing of program GRID.FOR 7-9 Examples using program Exercises VII Chapter 8: SPACE FRAME 8-1 General 8-2 Stiffness matrix of a member 8-3 Joint equilibrium conditions 8-4 Fixed end reactions 8-5 Member end forces 8-6 Data type III 8-7 Computer program SFRAME.FOR 8-8 Listing of program SFRAME.FOR 8-9 Example 8-10 Examples using program SFRAME Exercises VIII Chapter 9: ADDITIONAL TOPICS - I 9-1 General 9-2 Half band width 9-3 Joint-code relations from fixity data 9-4 Joint load data and load vector 9-5 Groupwise data 9-6 Data generation 9-7 Storage schemes and memory requirement 9-8 Out-of-core methods 9-9 Frontal solution method 9-10 Variable dimensioning Exercise IX Chapter 10: ADDITIONAL TOPICS - II 10-1 Effects of member loads, temperature and lack of fit in trusses 10-2 Elastic supports 10-3 Direct approach in stiffness method 10-4 Super element 10-5 Sub-structure method of analysis 10-6 Plastic analysis 10-7 Transfer matrix method Exercises X Chapter 11: ADDITIONAL TOPICS - III 11-1 Stiffness method as a variational approach 11-2 Strain energy 11-3 Potential of loads 11-4 Total potential energy 11-5 Minimum potential energy theorem 11-6 Loaded member - strain energy and potential of loads 11-7 Equilibrium equations and energy minimisation conditions 11-8 Interpolation and shape functions 11-9 Member stiffness matrix using assumed displacements 11-10 Equivalent joint loads using shape functions 11-11 Introduction to finite element method 11-12 Triangular element for plane stress analysis Exercises XI Chapter 12: NON-LINEAR ANALYSIS Linear and non-linear response Secant and tangent stiffness matrices Non-linear analysis Non-linear behaviour of a truss Non-linear analysis of truss Program steps for non-linear analysis of truss Exercise XII Appendix A (Al) (A2) Slopes and deflections in beams Combination of standard formulae Appendix B (Bl) Restraining actions in restrained member Appendix C Bibliograph Index Appendix C Simultaneous linear algebraic equations (a) Determinant method (b) Elimination methods (bl) Gauss elimination method (rowwise) (b2) Row exchanges in Gauss eliminationmethod (b3) Gauss elimination for half banded matrix [HA] (b4) Gauss-Jordon elimination method (b5) Gauss method - columnwise reduction of symmetric matrix [ A ] (b6) Column wise reduction in skyline storage (c) Methods based on decomposition of [A ] (cl) Cholesky square root decomposition (c2) Cholesky decomposition of half banded matrix (c3) Gauss-Doolite decomposition of symmetric [ A ] (c4) Gauss-Doolite decomposition of [ HA ] (c5) Gauss-Doolite decomposition of [ASKY] (d) Iteration methods (dl) Gauss-Seidel iteration method (d2) Iteration method with half banded matrix [ HA ] (e) Use of inverse (f) Multiple and subsequent right sides
700			_aDeshmukh, S. K.
890			_aIndia
942			_2ddc
999			_c40375 _d40375