GATE 2019 CE (CE2) – Question 46
A long 10 kN/m uniformly distributed load and a 60 kN concentrated load move together on beam ABCD shown; their relative positions are not fixed. Find maximum shear at internal hinge B due to both loads (kN), to the nearest integer.
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Correct answer: 70 to 70 OR -70 to -70
Explanation
The hinge-shear influence line is triangular on the 2 m segment AB, rising to unit ordinate at B, and zero for loads on the right segment. Place the point load at B and the UDL over AB. Maximum magnitude is $60+10(2\times1/2)=$ **70 kN**. Opposite cut-face sign conventions yield ±70, both officially accepted.