The GATE Grind

GATE 2026 MN – Question 21

Geomechanics and Ground Control · Engineering Mechanics · 1 mark · Multiple choice

For the simply supported beam and loads shown, at which labelled location does the shear-force diagram cross zero?

Diagram for GATE 2026 MN question 21
  1. P
  2. Q
  3. R
  4. S

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) R

Explanation

Taking moments about P gives the right reaction(10×2+20×4)/6=16.667 kN, so the left reaction is13.333 kN. Shear is13.333 before Q,3.333 between Q and R, and−16.667 after R. Its sign-changing jump crosses zero at R, C. With ideal point loads this is a discontinuous crossing, not a finite interval of zero shear.

More Engineering Mechanics questions

All Engineering Mechanics questions →