Chapter VII

74. Modern Bridge Theory 78
75. The Stresses in Beams 79
76. Vertical and Horizontal Shearing Stresses 80
77. Law of Variation of Stresses of Tension and Compression 82
78. Fundamental Formulæ of Theory of Beams 83
79. Practical Applications 85
80. Deflection 86
81. Bending Moments and Shears with Single Load 87
82. Bending Moments and Shears with any System of Loads 89
83. Bending Moments and Shears with Uniform Loads 92
84. Greatest Shear for Uniform Moving Load 94
85. Bending Moments and Shears for Cantilever Beams 96
86. Greatest Bending Moment with any System of Loading 97
87. Applications to Rolled Beams 99