The GATE Grind

GATE 2018 CE (CE1) – Question 18

Solid Mechanics · Uniform torsion and combined stresses · 1 mark · Multiple choice

A solid circular beam of radius 0.25 m and length 2 m carries only a 20 kN m twisting moment about z at its free end, as shown. At point M on the section 1 m from the fixed end, shear component $\tau_{xy}$ is ______.

Diagram for GATE 2018 CE (CE1) question 18
  1. 0.0 MPa
  2. 0.51 MPa
  3. 0.815 MPa
  4. 2.0 MPa

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) 0.0 MPa

Explanation

Pure torsion about z creates shear components involving the axial direction, $\tau_{xz}$ and $\tau_{yz}$. The requested in-plane component $\tau_{xy}$ is zero everywhere in this circular-shaft torsion model. Answer A, 0.0 MPa.