Structural Analysis

Front Cover
CRC Press, 1990 - Technology & Engineering - 605 pages
4 Reviews
This main text encompasses both the principles of mechanics and basic structural concepts, and computer methods in structural analysis. In this edition, coverage of plane statistics and introductory vector analysis is increased; there is a greater design-based emphasis and more material on the principle of virtual work, and computer methods are referred to throughout.
 

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Why in combine analysis at point ;B the mp is0

Contents

Definitions and introductory concepts
1
13 Equilibrium of a body
7
14 Displacements and rotations
8
15 Stressesnotation and sign convention
9
16 Strains
13
17 Stressstrain relations
17
Structural mechanics statically determinate plane frames
21
22 Parallel forces in a plane
25
719 Grillages
277
720 Stiffness flexibility and equilibrium matrices single members
278
721 Concluding remarks
282
Problems
283
Matrix flexibility method
293
82 Relative merits of flexibility and stiffness methods
300
Problems
301
Instability of struts and frameworks
304

23 The general case offerees in a plane
29
supports and reactions
32
25 Plane trusses
35
26 Analysis of plane trusses
41
27 Influence lines the effects of moving loads
51
28 Shear forces and bending moments
58
29 Influence lines for shear force and bending moment
72
Problems
75
Space statics and determinate space structures
83
32 Constraint of space structures
85
33 Determinate space structures
87
34 Determinate space trusses
90
35 Analysis of determinate space trusses
92
Problems
100
Basic structural concepts
104
42 Displacements and corresponding displacements
105
43 Dependent and independent actions and displacements
108
44 Superposition of actions and displacementsinfluence coefficients
109
45 Where superposition may not occur nonlinear behaviour
111
46 Compatibility
112
47 Work and complementary work
115
48 Linearity of loaddeflection relationship
116
49 Energystrain and complementary
119
410 Superposition of strain energies
120
411 Reciprocality of influence coefficients in elastic structures
122
412 Generalized reciprocal theorem in an elastic structure Bettis theorem
126
413 MuellerBreslaus principle Model analysis
127
414 Principle of virtual work
132
415 Applications of the principle of virtual work 1
134
416 Applications of the principle of virtual work 2
144
417 Energy methodsapplication in structural analysis
168
418 Momentarea methods
176
Problems
181
Stiffness and flexibility
190
52 Member stiffness and flexibility equations
196
53 Transformation of axes
199
54 Slopedeflection method
208
Problems
212
Moment distribution
215
63 Application to continuous beams
218
64 Twodimensional structures
222
65 Pinned and overhanging ends
223
66 Settlement of supports
226
67 Frames in which sway occurs
227
68 Use of the instantaneous centre of rotation and the principle of virtual work
235
69 Frames with two or more modes of sway
238
Problems
242
Matrix stiffness method
249
73 Assumptions
251
75 Member stiffness
252
76 Coordinate transformation
253
77 Compatibility
255
78 Equilibrium
256
79 Structure stiffness matrix
257
710 Restrained joints and symmetry
259
711 Internal pins
261
712 Worked example on a rigid frame
263
713 Pinjointed structures
267
714 Example on a pinjointed truss
268
715 Loads between joints
270
716 Temperature effects and lack of fit
272
717 Continuous beams
273
718 Threedimensional structures
275
92 Other simple strut problems
307
93 Real behaviour of struts
311
94 The design of steel struts
319
95 Complex struts
323
96 Lateral torsional buckling of beams
327
97 Solution of stability problems virtual work approach
331
98 Posthuckling behaviour
335
99 Stiffness of beamcolumns stability functions
338
910 Influence of axial loads on end moments of fixedended beams
344
911 Elastic instability of plane frames
348
912 Calculation of critical loads of plane frames
350
913 Buckling modes
354
914 Ultimate load analysis of structures
357
Problems
358
Structural dynamics
362
103 Free vibration with one degree of freedom
364
104 Forced vibration with one degree of freedom
370
106 Forced vibration with many degrees of freedom
390
107 Vibrations with infinite number of degrees of freedom
392
Elasticity problems and the finite difference method
397
112 Specification of stress at a point
400
113 Boundary conditions
404
115 Principal stresses
410
116 Compatibility conditions
414
118 SaintVenants principle
415
1110 Principle of superposition
418
1111 Torsion of noncircular shafts
419
1112 Plane stress and plane strain problems
426
1113 Bending of thin plates
428
1114 Finite difference method
433
1115 Truncation errors and finite difference operators for uneven mesh intervals
450
Problems
454
The finite element method
458
122 Elastic continua
460
123 Triangular elements for plane stress
463
124 Rectangular elements for plane stress
472
125 Transformation matrix
475
126 Assembling the structure stiffness matrix
478
127 Rectangular elements in bending
480
128 Various elements for two and threedimensional analyses
485
129 Computer flow charts
489
Problems
498
Computer application
501
132 Flow chartelastic critical loads of plane frames
507
133 Solving large sets of linear equations
509
134 Use of banded nature of stiffness matrix
514
135 Eigenvalues and eigenvectors
517
136 Reduction in order of stiffness matrix use of substructures
522
Plastic theory of structures
525
142 The elasticplastic stressstrain relation
526
144 Effect of axial load on plastic moment
532
145 Effect of shear force on plastic moment
534
146 Collapse loads and collapse mechanisms
535
147 Combination of mechanisms
555
148 Distributed load
564
149 The fundamental theorems of plastic collapse
570
1410 Incremental collapse and shakedown
575
Problems
588
Appendix 1
593
Appendix 2
600
Index
601
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