GATE 2026 Engineering Sciences Q87

Question

A simply supported beam of length l = 2 m is subjected to a concentrated moment M = 150 kNm at a distance l/2 from the left end as shown in the figure. The elastic-strain energy U of the beam is given by the following expression:
U = M^2l / 48 EI
The section modulus of the beam is EI = 25 × 10^5 Nm^2.
The absolute value of the slope of the beam at a distance l/2 from the left end is ________ (rounded off to three decimal places).

Accepted Answer

0.004 to 0.006