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Sufficient Condition for an Extrema

A steel beam ...

Question

A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figure. Assume $E_{s t e e l} = 200 G p a$ .
The beam is subjected to a maximum bending moment of

A

3375 k N m

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B

4750 k N m

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C

6750 k N m

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D

8750 k N m

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Solution

The correct option is A $3375 k N m$
Maximum bending moment occurs at the centre
$= \frac{w L^{2}}{8} = \frac{120 \times (15)^{2}}{8} = 3375 k N m$

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