GATE 2021 ME (ME2) – Question 63
A cantilever beam with a uniform flexural rigidity ($EI=200\times10^6$ N.m²) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is 10000 N.m². The magnitude of the slope of the beam at its free end is _____ micro radian (round off to the nearest integer).
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Correct answer: 50
Explanation
The first moment-area theorem gives change of slope as the area under M/EI. The fixed-end slope is zero and EI is uniform.
Thus tip slope=10000/(200×10⁶)=5×10⁻⁵ rad=**50 microradians**.