Chapter 4 Shear Forces and Bending Moments
Chapter 4 Shear Forces and Bending Moments
Chapter 4 Shear Forces and Bending Moments
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for a < x < a + bV = R A - q (x - a)M = R A x - q (x - a) 2 / 2for a + b < x < LV = - R B M = R B (L - x)maximum moment occurs where V = 0i.e.x 1 = a + b (b + 2c) / 2LM max = q b (b + 2c) (4 a L + 2 b c + b 2 ) / 8L 2for a = c, x 1 = L / 2M max = q b (2L - b) / 8for b = L, a = c = 0(uniform loading over the entire span)M max = q L 2 / 8Example 4-5construct the V- <strong>and</strong> M-dia for thecantilever beam supported to P 1 <strong>and</strong> P 2R B = P 1 + P 2M B = P 1 L + P 2 bfor 0 < x < aV = - P 1M = - P 1 xfora < x < LV = - P 1 - P 2 M= - P 1 x - P 2 (x - a)10
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