Treatise on the Theory of the Construction of Bridges and Roads

Front Cover
1893 - Bridges - 249 pages
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Contents

Case of a Beam which is fixed at one End supported at the other and loaded uniformly
9
Case of a Beam which is fixed at both Ends and loaded at the middle point
10
Case of a Beam which is fixed at both Ends and loaded uni formly
11
Case of a Uniform Load and uniformlyincreasing Load
12
Partial Uniform Load
13
Case of a Load applied at several points
14
Case of Oblique Strains
15
Inclined Beam loaded at one point
16
The Kingpost Truss
17
A Loaded Brace
19
Discussion of the preceding case
20
Problems 20 Rafter loaded uniformly
21
Strength of Pillars
23
Gordons Rules PAGE 1
24
Mr C Shaler Smiths Formula
25
Hodgkinsons Formulas
26
Weight of Pillars
27
2
28
5
29
7
32
10
36
11
37
12
38
Proof Load
39
14
41
15
48
Minimum Amount of Material
50
Roof Trusses
58
19
64
CHAPTER III
66
NO OF THE ARTICLE PAGE 53 Strains upon the Modified Truss
68
Triangular TrussDefinition
70
Conditions Assumed
71
CASE I
72
Strains on the Ties and Braces
73
CASE II
74
Strains on the Chords
75
Open Swing Bridges
76
CASE III
77
Observations on the Preceding Results
78
Formulas for Strains on the TieBraces for a Uniform Load
82
Another Solution of the Preceding Problem
85
Strains on the Chords
87
SubCase in which the Number of Bays in the Lower Chord is odd
89
Inverted Truss
90
Discussion of the Equation 111
94
20
95
CASE IV Distribution of the Strains
96
Stress on the TieBraces
97
General Method
99
Strains on the Chords
101
Problem
102
Minimum Amount of Material
103
Proper Length of the Bays
106
Stress on the Chords
107
Analysis of Townes Lattice
108
Analysis of the Multiple Triangular System
109
General Value of the Second Differences
123
Stress on any Diagonal
124
Uniformly Distributed Load 125 1
125
Stress on the Verticals
127
Stress upon the Chords
129
Examples
130
Load concentrated at one Point
131
Stress on the Chords for an unequallydistributed Load
132
Multiple Systems
133
A Second Problem of Minimum Material
136
Minimum Material in a Post and Tie combined
140
Longs Truss
143
Howes Truss
145
Main Braces in Howes Truss
146
CounterBraces
147
Keying the CounterBraces
149
The Vertical TieRods in Howes Truss
150
Whipples Truss
151
Analysis of the DoublePanel System as shown in Fig 92
155
47
156
Posts Truss
162
Extra Strains considered
170
Halls Lattice
171
KneeBraces
172
Continuous LoadingVertical Shearing Stress
173
General Problems Unsolved
176
Law of Strains upon the Chords
177
Law of Relation between the vertical Shearing Stress and Moments of Applied Forces
178
CHAPTER IV
179
PARABOLIC ARCHED TRUSSDefinition and Notation
180
Case of Uniform Load
182
Case of a Partial Uniform Loadwhen the Diagonals are Ties
183
Case of a Partial Uniform Loadwhen the Diagonals are Braces
184
Triangular TrussingParabolic Arched Truss
185
Strains on the upper Chordfound by Moments
186
A General Problem
187
Both Chords Curved
188
CHAPTER V
190
Burr Truss
191
A Third Example of Compound Structures
192
PART III
193
General Data
194
50
196
Load on the Flat Part of the University Roof
197
Weight of Snow
199
Weight of the Dome on the University Roof
201
Analysis of the University Roof Truss
202
51
206
Cambre of Trusses
209
Case of Secondary Trussing in which the Bays in the Lower Chord are equal to each other
211
Another Form of Roof Trussing
218
The preceding Form modified
223
GENERAL EQUATIONS
224
52
230
APPENDIX I
243
55
244

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Page 243 - If three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the three sides of a triangle taken in order.
Page 243 - If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium.

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