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Question

An inclined load of 30 kN acts at angle 30 on a cantilever beam as shown. The maximum bending stress developed anywere in beam will be;

A
45 MPa
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B
77.94 MPa
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C
122.94 MPa
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D
None of these
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Solution

The correct option is C 122.94 MPa

σmax=MxyIx+MyxIy
Hence, x=y=100mm
lx=ly=(200)412mm4
Maximum moment will occur at A
Mx=Pcos30×4=30×4×32=103.92kNm
My=Psin30×4=60kNm
σmax=100(200)412(103.92+60)×106=122.94MPa

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