Foreword |
|
vii | |
Preface |
|
ix | |
About the Author |
|
xi | |
Acknowledgments |
|
xiii | |
|
|
1 | (12) |
|
Universal Guiding Principles |
|
|
2 | (2) |
|
Subject-Specific Approaches |
|
|
4 | (3) |
|
|
7 | (6) |
|
Simple Beams: An Introduction To The General Approach |
|
|
13 | (18) |
|
A Concentrated Force at an Arbitrary Point on the Span |
|
|
13 | (2) |
|
|
15 | (3) |
|
Triangular Load on Part of the Span |
|
|
18 | (4) |
|
Triangular Load on the Entire Span |
|
|
22 | (1) |
|
General Load Intensity Functions and Applications |
|
|
23 | (2) |
|
A Concentrated Couple at an Arbitrary Point on the Span |
|
|
25 | (1) |
|
The Principle of Superposition and Load Combinations |
|
|
26 | (1) |
|
Explorations and Observations |
|
|
26 | (5) |
|
|
31 | (64) |
|
Two-Span Continuous Beams |
|
|
31 | (26) |
|
A Concentrated Force at an Arbitrary Point on the Beam |
|
|
31 | (4) |
|
An Alternative Approach to the Problem of Concentrated Force |
|
|
35 | (3) |
|
Generic Problem, Arbitrary Load, and the Principle of Superposition: A Regression |
|
|
38 | (3) |
|
Uniform Load on One Span: General Case |
|
|
41 | (3) |
|
Uniform Load on One Span: Special Case with Equal Span Lengths |
|
|
44 | (1) |
|
Uniform Load on One Span: Special Case with Constant Material and Section Properties |
|
|
45 | (1) |
|
Uniform Load on One Span: Special Case with Constant Material and Geometric Characteristics |
|
|
46 | (2) |
|
Triangular Load on One Span: General Case |
|
|
48 | (2) |
|
Triangular Load on One Span: Special Case with Equal Span Lengths |
|
|
50 | (2) |
|
Triangular Load on One Span: Special Case with Constant Material and Section Properties |
|
|
52 | (1) |
|
Triangular Load on One Span: Special Case with Constant Material and Geometric Characteristics |
|
|
53 | (3) |
|
A Concentrated Couple at an Arbitrary Point on a Span |
|
|
56 | (1) |
|
Three-Span Continuous Beams |
|
|
57 | (38) |
|
A Concentrated Force at an Arbitrary Point on an Exterior Span |
|
|
57 | (5) |
|
Arbitrarily Distributed Load on an Exterior Span |
|
|
62 | (3) |
|
Uniform Load on an Exterior Span |
|
|
65 | (3) |
|
An Alternative Treatment of the Problem of Uniform Load on an Exterior Span |
|
|
68 | (12) |
|
Triangular Load on an Exterior Span |
|
|
80 | (2) |
|
A Concentrated Couple at an Arbitrary Point on an Exterior Span |
|
|
82 | (3) |
|
A Concentrated Force at an Arbitrary Point on the Interior Span |
|
|
85 | (3) |
|
Uniform Load on the Interior Span |
|
|
88 | (3) |
|
Triangular Load on the Interior Span |
|
|
91 | (4) |
|
Beams On Elastic Foundations |
|
|
95 | (16) |
|
|
95 | (7) |
|
A Concentrated Force on the Beam |
|
|
95 | (3) |
|
|
98 | (4) |
|
Beams of Semi-infinite Length |
|
|
102 | (9) |
|
A Concentrated Force and Moment Acting at the End of the Beam |
|
|
102 | (2) |
|
Uniform Load on the Beam with a Simply Supported End |
|
|
104 | (2) |
|
Uniform Load on the Beam with a Fixed End |
|
|
106 | (5) |
|
|
111 | (26) |
|
Uniform Load on Part of the Span |
|
|
111 | (4) |
|
Triangular Load on Part of the Span |
|
|
115 | (3) |
|
General Load Intensity Functions with Applications |
|
|
118 | (14) |
|
A Concentrated Couple at an Arbitrary Point on the Span |
|
|
132 | (2) |
|
Explorations and Observations |
|
|
134 | (3) |
|
Examples of Beam Formulae: Explorations And Commentary |
|
|
137 | (182) |
|
|
137 | (1) |
|
Uniform Load on One Span of a Two-Span Continuous Beam: General Case |
|
|
137 | (7) |
|
Triangular Load on One Span of a Two-Span Continuous Beam: General Case |
|
|
144 | (8) |
|
A Concentrated Couple at an Arbitrary Point on a Two-Span Continuous Beam: General Case |
|
|
152 | (8) |
|
A Concentrated Force at an Arbitrary Point on an Exterior Span of a Three-Span Continuous Beam: General Case |
|
|
160 | (14) |
|
Uniform Load on an Exterior Span of a Three-Span Continuous Beam: General Case |
|
|
174 | (3) |
|
Triangular Load on an Exterior Span of a Three-Span Continuous Beam: General Case |
|
|
177 | (23) |
|
A Concentrated Couple at an Arbitrary Point on an Exterior Span of a Three-Span Continuous Beam: General Case |
|
|
200 | (16) |
|
Uniform Load on the Interior Span of a Three-Span Continuous Beam: General Case |
|
|
216 | (21) |
|
Triangular Load on the Interior Span of a Three-Span Continuous Beam: General Case |
|
|
237 | (16) |
|
A Concentrated Force at an Arbitrary Point on an Exterior Span of a Three-Span Continuous Beam: Constant J |
|
|
253 | (3) |
|
A Concentrated Force at an Arbitrary Point on an Exterior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
256 | (3) |
|
Uniform Load on an Exterior Span of a Three-Span Continuous Beam: Constant J |
|
|
259 | (3) |
|
Uniform Load on an Exterior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
262 | (4) |
|
Triangular Load on an Exterior Span of a Three-Span Continuous Beam: Constant J |
|
|
266 | (2) |
|
Triangular Load on an Exterior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
268 | (6) |
|
A Concentrated Couple at an Arbitrary Point on an Exterior Span of a Three-Span Continuous Beam: Constant J |
|
|
274 | (2) |
|
A Concentrated Couple at an Arbitrary Point on an Exterior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
276 | (3) |
|
A Concentrated Force at an Arbitrary Point on the Interior Span of a Three-Span Continuous Beam: Constant J |
|
|
279 | (1) |
|
A Concentrated Force at an Arbitrary Point on the Interior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
280 | (2) |
|
Uniform Load on the Interior Span of a Three-Span Continuous Beam: Constant J |
|
|
282 | (2) |
|
Uniform Load on the Interior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
284 | (3) |
|
Triangular Load on the Interior Span of a Three-Span Continuous Beam: Constant J |
|
|
287 | (2) |
|
Triangular Load on the Interior Span of a Three-Span Continuous Beam: Constant Span Length |
|
|
289 | (2) |
|
Two-Span Continuous Beam with Symmetry |
|
|
291 | (2) |
|
Four-Span Continuous Beam with Symmetry |
|
|
293 | (1) |
|
Principle of Superposition |
|
|
294 | (1) |
|
Possible Direction for Future Work |
|
|
294 | (5) |
|
|
|
Some Properties of Ej - aEk |
|
|
299 | (4) |
|
Some Relations Among Ej (j = 2, 3, 4, 5) |
|
|
303 | (4) |
|
Proof of S < 0: Upper and Lower Bounds for the Entity S in Section 6.22 |
|
|
307 | (2) |
|
Upper and Lower Bounds for T in Section 6.22 |
|
|
309 | (2) |
|
Upper and Lower Bounds for R4 in Section 6.23 |
|
|
311 | (2) |
|
Single-Span Beams with a Fixed End and a Simply Supported End |
|
|
313 | (6) |
Index |
|
319 | |