The slope of a bending moment diagram gives ______.

Tensile force Shear force Compressive force Couple

Concept:

Slope of shear force diagram = Load intensity at that section

$\frac{δ F}{δ x} = - w$

Slope of bending moment diagram = Shear force at that section

$\frac{δ M}{δ x} = F$

$w = - \frac{δ F}{δ x} = \frac{δ^{2} M}{δ x^{2}}$

$F = - \int w d x; M = \int F d x$

If w is n degree curve, V will be (n+1) degree curve and M will be (n + 2) degree curve.

In case of uniformly distributed load, w is uniform, V is linear, and M is of second order parabola.

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Figure 1 : Simply supported beam

D220

Figure 2 : Cantilever beam

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Figure 3 : Fixed beam

Hint Answer

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