Question

A bar AB of diameter 40 mm and 4 m long is rigidly fixed at its ends. A torque 600 N-m is applied at a section of the bar, 1 m from end A. The fixing couples $T_{A}and{T}_B$ at the supports A and B, respectively are

• A. 200 N-m and and 400 N-m
• B. 300 N-m and 150 N-m
• C. 450 N-m and 150 N-m
• D. 300 N-m and 100 N-m

Answer 1

The correct option is C 450 N-m and 150 N-m


The fixing couple $T_{A}and{T}_B$ at A and B respectively is given by

$\Rightarrow T_A=\frac{T_0\times b}{a+b}$

$=\frac{600\times 3}{1+3}=450Nm$

$\Rightarrow T_B=\frac{T_0\times a}{a+b}$

$=\frac{600\times 1}{4}=150Nm$