Theory of elastic stability:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
McGraw-Hill
1961
|
| Edition: | 2. ed. |
| Series: | Engineering societies monographs
International student edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 541 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Theory of elastic stability |c Stephen P. Timoshenko in collaboration with James M. Gere |
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Record in the Search Index
| _version_ | 1804116680987639808 |
|---|---|
| adam_text | CONTENTS
Preface to the Second Edition v
Preface to the First Edition vii
Notations xv
Chapter 1 Beam-columns 1
1 1 Introduction 1
1 2 Differential Equations for Beam-columns 1
1 3 Beam-column with Concentrated Lateral Load 3
1 4 Several Concentrated Loads 7
1 5 Continuous Lateral Load 9
1 6 Bending of a Beam-column by Couples 12
1 7 Approximate Formula for Deflections 14
1 8 Beam-columns with Built-in Ends 15
1 9 Beam-columns with Elastic Restraints 17
1 10 Continuous Beams with Axial Loads 19
1 11 Application of Trigonometric Series 24
1 12 The Effect of Initial Curvature on Deflections 31
1 13 Determination of Allowable Stresses 37
Chapter 2 Elastic Buckling of Bars and Frames 46
2 1 Euler’s Column Formula 46
2 2 Alternate Form of the Differential Equation for Determining Critical
Loads 51
2 3 The Use of Beam-column Theory in Calculating Critical Loads 59
2 4 Buckling of Frames 62
2 5 Buckling of Continuous Beams 66
2 6 Buckling of Continuous Beams on Elastic Supports 70
2 7 Large Deflections of Buckled Bars (the Elastica) 76
2 8 The Energy Method 82
2 9 Approximate Calculation of Critical Loads by the Energy Method 88
2 10 Buckling of a Bar on an Elastic Foundation 94
2 11 Buckling of a Bar with Intermediate Compressive Forces 98
2 12 Buckling of a Bar under Distributed Axial Loads 100
2 13 Buckling of a Bar on an Elastic Foundation under Distributed Axial
Loads 107
2 14 Buckling of Bars with Changes in Cross Section 113
2 15 The Determination of Critical Loads by Successive Approximations 116
2 16 Bars with Continuously Varying Cross Section 125
2 17 The Effect of Shearing Force on the Critical Load 132
xi
CONTENTSxii
2 18 Buckling of Built-up Columns 135
2 19 Buckling of Helical Springs 142
2 20 Stability of a System of Bars 144
2 21 The Case of Nonconservative Forces 152
2 22 Stability of Prismatic Bars under Varying Axial Forces 158
Chapter 3 Inelastic Buckling of Bars 163
3 1 Inelastic Bending 163
3 2 Inelastic Bending Combined with Axial Load 167
3 3 Inelastic Buckling of Bars (Fundamental Case) 175
3 4 Inelastic Buckling of Bars with Other End Conditions 182
Chapter 4 Experiments and Design Formulas 185
4 1 Column Tests 185
4 2 Ideal-column Formulas as a Basis of Column Design 192
4 3 Empirical Formulas for Column Design 195
4 4 Assumed Inaccuracies as a Basis of Column Design 197
4 5 Various End Conditions 202
4 6 The Desigh of Built-up Columns 206
Chapter 6 Torsional Buckling 212
5 1 Introduction 212
5 2 Pure Torsion of Thin-walled Bars of Open Cross Section 212
5 3 Nonuniform Torsion of Thin-walled Bars of Open Cross Section 218
5 4 Torsional Buckling 225
5 5 Buckling by Torsion and Flexure 229
5 6 Combined Torsional and Flexural Buckling of a Bar with Continuous
Elastic Supports 237
5 7 Torsional Buckling under Thrust and End Moments 244
Chapter 6 Lateral Buckling of Beams 251
6 1 Differential Equations for Lateral Buckling 251
6 2 Lateral Buckling of Beams in Pure Bending 253
6 3 Lateral Buckling of a Cantilever Beam 257
6 4 Lateral Buckling of Simply Supported I Beams 262
6 5 Lateral Buckling of Simply Supported Beam of Narrow Rectangular
Cross Section 268
6 6 Other Cases of Lateral Buckling 270
6 7 Inelastic Lateral Buckling of I Beams 272
Chapter 7 Buckling of Rings, Curved Bars, and Arches 278
7 1 Bending of a Thin Curved Bar with a Circular Axis 278
7 2 Application of Trigonometric Series in the Analysis of a Thin Circular
Ring 282
7 3 Effect of Uniform Pressure on Bending of a Circular Ring 287
7 4 Buckling of Circular Rings and Tubes under Uniform External Pressure 289
7 5 The Design of Tubes under Uniform External Pressure on the Basis of
Assumed Inaccuracies 294
7 6 Buckling of a Uniformly Compressed Circular Arch 297
7 7 Arches of Other Forms 302
7 8 Buckling of Very Flat Curved Bars 305
CONTENTS rriii
7 9 Buckling of a Bimetallic Strip 310
7 10 Lateral Buckling of a Curved Bar with Circular Axis 313
Chapter 8 Bending of Thin Plates 319
8 1 Pure Bending of Plates 319
8 2 Bending of Plates by Distributed Lateral Load 325
8 3 Combined Bending and Tension or Compression of Plates 332
8 4 Strain Energy in Bending of Plates 335
8 5 Deflections of Rectangular Plates with Simply Supported Edges 340
8 6 Bending of Plates with a Small Initial Curvature 344
8 7 Large Deflections of Plates 349
Chapter 9 Buckling of Thin Plates 34g
9 1 Methods of Calculation of Critical Loads 348
9 2 Buckling of Simply Supported Rectangular Plates Uniformly Compressed
in One Direction 351
9 3 Buckling of Simply Supported Rectangular Plates Compressed in Two
Perpendicular Directions 356
9 4 Buckling of Uniformly Compressed Rectangular Plates Simply Supported
along Two Opposite Sides Perpendicular to the Direction of Compression
and Having Various Edge Conditions along the Other Two Sides 360
9 5 Buckling of a Rectangular Plate Simply Supported along Two Opposite
Sides and Uniformly Compressed in the Direction Parallel to Those Sides 370
9 6 Buckling of a Simply Supported Rectangular Plate under Combined
Bending and Compression 373
9 7 Buckling of Rectangular Plates under the Action of Shearing Stresses 379
9 8 Other Cases of Buckling of Rectangular Plates 385
9 9 Buckling of Circular Plates 389
9 10 Buckling of Plates of Other Shapes 392
9 11 Stability of Plates Reinforced by Ribs 394
9 12 Buckling of Plates beyond Proportional Limit 408
9 13 Large Deflections of Buckled Plates 411
9 14 Ultimate Strength of Buckled Plates 418
9 15 Experiments on Buckling of Plates 423
9 16 Practical Applications of the Theory of Buckling of Plates 429
Chapter 10 Bending of Thin Shells 440
10 1 Deformation of an Element of a Shell 440
10 2 Symmetrical Deformation of a Circular Cylindrical Shell 443
10 3 Inextensional Deformation of a Circular Cylindrical Shell 445
10 4 General Case of Deformation of a Cylindrical Shell 448
10 5 Symmetrical Deformation of a Spherical Shell 453
Chapter 11 Buckling of Shells 457
11 1 Symmetrical Buckling of a Cylindrical Shell under the Action of Uniform
Axial Compression 457
11 2 Inextensional Forms of Bending of Cylindrical Shells Due to Instability 461
11 3 Buckling of a Cylindrical Shell under the Action of Uniform Axial Pressure 462
11 4 Experiments with Cylindrical Shells in Axial Compression 468
11 5 Buckling of a Cylindrical Shell under the Action of Uniform External
Lateral Pressure 474
xiv CONTENTS
11 6 Bent or Eccentrically Compressed Cylindrical Shells 482
11 7 Axial Compression of Curved Sheet Panels 485
11 8 Curved Sheet Panels under Shear or Combined Shear and Axial Stress 488
11 9 Buckling of a Stiffened Cylindrical Shell under Axial Compression 490
11 10 Buckling of a Cylindrical Shell under Combined Axial and Uniform
Lateral Pressure 495
11 11 Buckling of a Cylindrical Shell Subjected to Torsion 500
11 12 Buckling of Conical Shells 509
11 13 Buckling of Uniformly Compressed Spherical Shells 512
Appendix 521
Table A-l Table of the Functions 4 (n), x(p) 521
Table A-2 Table of the Functions and A(m) 529
Table A-3 Properties of Sections 530
Name Index 531
Snbject Index 535
|
| any_adam_object | 1 |
| author | Timošenko, Stepan P. 1878-1972 Gere, James M. |
| author_GND | (DE-588)119428881 |
| author_facet | Timošenko, Stepan P. 1878-1972 Gere, James M. |
| author_role | aut aut |
| author_sort | Timošenko, Stepan P. 1878-1972 |
| author_variant | s p t sp spt j m g jm jmg |
| building | Verbundindex |
| bvnumber | BV002225859 |
| classification_rvk | UF 3000 |
| classification_tum | MTA 050f |
| ctrlnum | (OCoLC)256030871 (DE-599)BVBBV002225859 |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV002225859 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:22Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001462628 |
| oclc_num | 256030871 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-706 DE-210 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-706 DE-210 |
| physical | XVI, 541 S. graph. Darst. |
| publishDate | 1961 |
| publishDateSearch | 1961 |
| publishDateSort | 1961 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | Engineering societies monographs International student edition |
| spelling | Timošenko, Stepan P. 1878-1972 Verfasser (DE-588)119428881 aut Theory of elastic stability Stephen P. Timoshenko in collaboration with James M. Gere 2. ed. New York McGraw-Hill 1961 XVI, 541 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Engineering societies monographs International student edition Elastomechanik Mechanisches System Stabilität Elastizität - Strukturelle Stabilität Elastomer (DE-588)4014162-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Mechanisches System (DE-588)4132811-5 gnd rswk-swf Baukonstruktion (DE-588)4004821-4 gnd rswk-swf Technische Mechanik (DE-588)4059231-5 gnd rswk-swf Stabilität (DE-588)4056693-6 s Elastizität (DE-588)4014159-7 s DE-604 Elastomer (DE-588)4014162-7 s Mechanisches System (DE-588)4132811-5 s Elastizitätstheorie (DE-588)4123124-7 s Technische Mechanik (DE-588)4059231-5 s 1\p DE-604 Baukonstruktion (DE-588)4004821-4 s 2\p DE-604 Gere, James M. Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001462628&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Timošenko, Stepan P. 1878-1972 Gere, James M. Theory of elastic stability Elastomechanik Mechanisches System Stabilität Elastizität - Strukturelle Stabilität Elastomer (DE-588)4014162-7 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Stabilität (DE-588)4056693-6 gnd Elastizität (DE-588)4014159-7 gnd Mechanisches System (DE-588)4132811-5 gnd Baukonstruktion (DE-588)4004821-4 gnd Technische Mechanik (DE-588)4059231-5 gnd |
| subject_GND | (DE-588)4014162-7 (DE-588)4123124-7 (DE-588)4056693-6 (DE-588)4014159-7 (DE-588)4132811-5 (DE-588)4004821-4 (DE-588)4059231-5 |
| title | Theory of elastic stability |
| title_auth | Theory of elastic stability |
| title_exact_search | Theory of elastic stability |
| title_full | Theory of elastic stability Stephen P. Timoshenko in collaboration with James M. Gere |
| title_fullStr | Theory of elastic stability Stephen P. Timoshenko in collaboration with James M. Gere |
| title_full_unstemmed | Theory of elastic stability Stephen P. Timoshenko in collaboration with James M. Gere |
| title_short | Theory of elastic stability |
| title_sort | theory of elastic stability |
| topic | Elastomechanik Mechanisches System Stabilität Elastizität - Strukturelle Stabilität Elastomer (DE-588)4014162-7 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Stabilität (DE-588)4056693-6 gnd Elastizität (DE-588)4014159-7 gnd Mechanisches System (DE-588)4132811-5 gnd Baukonstruktion (DE-588)4004821-4 gnd Technische Mechanik (DE-588)4059231-5 gnd |
| topic_facet | Elastomechanik Mechanisches System Stabilität Elastizität - Strukturelle Stabilität Elastomer Elastizitätstheorie Elastizität Baukonstruktion Technische Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001462628&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT timosenkostepanp theoryofelasticstability AT gerejamesm theoryofelasticstability |