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Question

A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is rectangular with constant width.
From the flexure-critical perspective, the most economical longitudinal profile of the beam to carry the given loads amongst the options given below, is

A
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B
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C
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D
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Solution

The correct option is D
For most economical longitudinal profile of cantilever, the depth of beam should vary along the length as per shape of BMD
Hence, most appropreate option is (d).

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