The shear-force diagram of a loaded beam is shown in the following figure. The maximum bending moment in the beam is

16 kN-m 11 kN-m 28 kN-m 8 kN-m

Concept:

The area under the shear-force diagram gives a bending moment between those two points and the area under the load diagram gives shear-force between those two points. i.e.

$M_{B} - M_{A} = \int_{A}^{B} ? F_{x - x} d x$

$F_{B} - F_{A} = - \int_{A}^{B} ? w_{x - x} d x$

Calculation:

Given:

$M_{C} - M_{A} = \frac{1}{2} \times (14 + 2) \times 2$

M_C = 16 kN-m (M_A = 0)

Similarly;

∴ M_B – M_c = 16 kN-m

Hint Answer

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The shear-force diagram of a loaded beam is shown in the following figure. The maximum bending moment in the beam is

16 kN-m

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