GATE 2017 ME (ME2) – Question 18
A loaded cantilever of uniform cross section has bending moment $M(x)=5x^2+10x$ N mm, where x is distance in mm from the free end. The shear-force magnitude at x = 10 mm is ______ N.
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Correct answer: 110 to 110
Explanation
Shear force is the spatial derivative of bending moment, subject to sign convention. Differentiation gives V=10x+10N. At x=10mm its magnitude is100+10=**110N**. No integration or division by beam length is required.