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Question

A T beam-section as shown below is subjected to a vertical shear force of magnitude 100 kN. If the moment of inertia about horizontal axis is 314.2×104 mm4, the shear stress induced at the junction of flange and web is ___________N/mm2.


A
27.7
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B
37.0
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C
52.5
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D
70.7
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Solution

The correct option is D 70.7
Position of N.A. from top of flange

y=A1y1+A2y2A1+A2

=(100×20×10)+(80×20×60)100×20+80×20=32.22 mm

Shear stress in web at junction

τ=VA¯yIb

(100×1000)(100×20)×(32.22202)314.2×104×20=70.72 N/mm2

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