The Theory of Structures

Front Cover
McGraw-Hill Book Company, 1915 - Structural analysis (Engineering) - 483 pages
 

Contents

Live Loads for Highway Bridges
17
Live Loads for Buildings
19
Wind Pressure
20
Snow Load
27
Centrifugal Force and Friction
28
Impact on Highway Bridges and Buildings
30
Factor of Safety
32
CHAPTER II
34
Reactions
35
Computations of ReactionsMethod of Procedure
36
Shear and Bending Moment Defined
44
Location of Section of Maximum Moment
51
Influence Lines and Tables Defined
61
Maximum Moments and Shears
67
CHAPTER III
75
Shear Girder with Floor Beams
83
Moments and Shears
93
Formulas
101
ART PAGE 55 Wooden Beams
102
Steel Beams
103
Examples of Beam Design
104
Composite Beams
106
CHAPTER V
108
Plate Girder Web Theory
109
Plate Girder Flanges Theory
110
Degree of Approximation of Flange Formula
113
Degree of Approximation of Shear Formula
118
Allowance for Rivet Holes
120
Example of Girder Design
122
Flange Rivets Ordinary Method of Computation of Pitch
126
Flange Rivets Precise Method of Computation of Pitch
128
Direct Web Stresses
131
Web Stiffeners
134
Flange Plates
138
Connection Angles and Fillers
141
Web Splices
143
Flangeangle Splice
146
Coverplate Splice
148
CHAPTER VI
150
Theory
151
Character of Stress
152
Determinate and Indeterminate Trusses
153
Mode of Procedure Analytical Method of Joints
154
Graphical Method of Joints Described
157
Application of Graphical Method of Joints
158
Ambiguous Cases Graphical Method of Joints
159
Analytical Method of Moments Described
161
Application of Method of Moments
162
Method of Shears Described
163
General Rules for Determination of Truss Stresses
165
Counters
166
Types of Trusses
167
Systems of Loading
170
Index Stresses
171
Computation of Stresses Pratt Truss
173
Computation of Stresses Warren Truss
178
Computation of Stresses Subdivided Warren Truss
180
Computation of Stresses Bridge Trusses with Nonparallel Chords Uniform Load
182
Concentrated Load System
189
Computation of Stresses Bridge Trusses with Parabolic Chord
196
CHAPTER VII
203
Computation of Maximum Stresses in Pettit Truss
208
CHAPTER VIII
226
Approximate Determination of Maximum Stresses in a Double Sys tem Warren Truss
227
Approximate Determination of Maximum Stresses in a Whipple Truss
235
Skew Bridges
239
Lateral and Portal Bracing
240
ART PAGE 115 Lateralbracing Trusses
242
Portals Approximate Solution
244
Portals Miscellaneous
249
Viaduct Towers
252
CHAPTER IX
258
Equations of Condition
259
Anchorage
261
Shears and Moments Cantilever Trusses
265
Bar Stresses Cantilever Trusses
266
CHAPTER X
269
Tests of Steel Columns
291
Castiron Columns
292
Timber and Concrete Columns
294
General Dimensions and Limiting Conditions
295
Method of Design
296
Determination of Crosssection of Typical Steel Columns
298
Lattice Bars and Batten Plates
301
Rivet Pitch
306
Eccentric Forces
307
Effect of Combined Flexure and Thrust
309
Building Columns under Eccentric Loads
310
Design of Castiron Columns
311
Design of Iron and Steel Tension Members
314
CHAPTER XII
318
Minimum Size of Pins
321
Stresses Causing Maximum Moment and Shear
322
Computation of Maximum Moment and Shear
323
Computation of a Bottom Chord Pin for Truss Shown in Fig 245
327
Effect upon Pin of Change in Arrangement of Members
331
Pin Plate Rivets
332
Riveted Truss Joints
333
CHAPTER XIII
337
Characteristics of the Funicular Polygon
341
Graphical Method of Moments
343
Graphical Method of Moments with a Concentrated Load System
345
Graphical Method of Shear
346
Funicular Polygon through Several Points
349
CHAPTER XIV
355
Truss Deflection Method of Rotation
356
Truss Deflection Method of Work
359
Truss Deflection Illustrated
362
Deflection of Beams and Girders
364
Graphical Method of Deflection Williot Diagram
368
Correction of Williot Diagram
372
Camber Defined
377
Rules for Computing Camber
378
CHAPTER XV
379
Derivation of the Threemoment Equation
380
Application of the Threemoment Equation
384
Reactions Shears and Moments for Common Cases of Continuous Girders
386
CHAPTER XVI
395
Examples of Applications of Theorem of Least Work
397
Reactions in Continuous Trusses
398
Stresses in Trusses with Redundant Members
402
Influence Lines and Tables for Indeterminate Structures
406
Stresses in Indeterminate Structure due to changes of Temperature
407
CHAPTER XVII
409
Types of Girders and Trusses for Swing Bridges
410
Points of Support for Swing Bridges
411
Influence of End Supports upon Swing Bridge Reactions
412
Tables of Reactions for Continuous and Partially Continuous Girders Used for Swing Bridges
413
Maximum Stresses in Swing Bridges
417
Specifications for Impact and Reversal of Stress
418
Computation of Maximum Stresses in Swing Bridges by Approxi mate Method
419
CHAPTER XVIII
427
Application of Equations to Dams
428
Outer Forces
430
Economical Crosssection
431
Determination of Profile of a Low Dam
433
Determination of Profile of a High Dam
435
Graphical Method of Solution
436
Graphical and Analytical Methods Combined
438
CHAPTER XIX
442
Method of Trial
444
Rankines Method
446
Surcharged Wall
450
CHAPTER XX
453
Outer Forces
455
Theory
456
Formula for Arches of Constant Crosssection
461
Comparison of Arch and Fixedend Beam
462
Temperature Stresses
463
Effect of Movement of Abutments
465
Effect of a Single Load
466
Distribution of Stress over Crosssection
467
INDEX
473
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Page 456 - It is sometimes simpler to determine analytically the position of the point of application of the resultant of the weight of the filling and the arch ring rather than to reduce to common units.
Page 34 - Since the algebraic sum of the moments of all the forces about any point equals zero...
Page 26 - All spans shall be designed for a lateral force on the loaded chord of 200 Ib. per linear foot plus 10 per cent. of the specified train load on one track, and 200 Ib. per linear foot on the unloaded chord; these forces being considered as moving.
Page 27 - Ibs. per linear ft. of structure applied 7 ft. above the rail for assumed wind force on train, when the structure is either fully loaded or loaded on either track with empty cars assumed to weigh 1,200 Ibs. per linear ft., whichever gives the larger stress.
Page 305 - J-in. rivets, 2} in. for f-in. rivets, and 2 in. if |-in. rivets are used. The thickness shall not be less than one-fortieth of the distance between end rivets for single lattice, and one-sixtieth for double lattice. Shapes of equivalent strength may be used. 48.
Page 1 - Structure" means that which is built or constructed, an edifice or building of any kind, or any piece of work artificially built up or composed of parts joined together in some definite manner.
Page 307 - The. pitch of rivets at the ends of built compression members shall not exceed four diameters of the rivets, for a length equal to one and one-half times the maximum width of member.
Page 306 - The inclination of lattice bars with the axis of the member shall be not less than 45 degrees, and when the distance between rivet lines in the flanges is more than 15 in., if single rivet bar is used, the lattice shall be double and riveted at the intersection.
Page 419 - An excentric load upon a column shall be considered to affect excentrically only the length of column extending to the next point below at which the column is held securely in the direction of the excentricity. If a piece is exposed to tension and compression at different times, it shall be proportioned to resist the maximum of each kind, but the unit stresses shall be less than those used for stress of one kind, depending upon the ratio and the relative frequence of the two maxima. Net sections...
Page 19 - For the trusses or girders, 80 Ib per sq ft of floor surface for spans of 75 'ft or less, and 50 Ib for spans of 200 ft or more, and proportionally for intermediate spans; to be used as described under (a).

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