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Question

A rectangular beam of width 100 mm is subjected to maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is 4N/mm2. The depth of the beam should be

A
150 mm
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B
225 mm
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C
200 mm
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D
100 mm
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Solution

The correct option is B 225 mm
Maximum shear stress, τmax=1.5τav

Average shear stress,τav=41.5N/mm2

The depth of beam=Vbτav=60×103×1.5100×4

= 225 mm

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