UPSC Civil Service Exam Questions - Engineering

Q1:

A beam has a solid circular cross-section having diameter d. If a section of the beam is subjected to a shear force F the maximum shear stress in the cross-section is given by

A

B

C

D

ANS:B -

T max=4/3 T avg.
Now T avg=F/A=4F/πd^2..
So, T max will be =4/3 * -(4F/πd^2)=16F/3πd^2.