Question

A line shaft is subjected to a bending moment of 500 kN-m and a torsional moment of 400 kN-m. The combined shock and fatigue factor for bending and torsional moment are 1.5 and 2 respectively. What is the equivalent torsional moment in kN-m?

• A. 1096.58
• B. 1846.58
• C. 640.3
• D. $1096.58\times {10}^3$

Answer 1

The correct option is A 1096.58

$k_b=1.5,k_t=2$

$M_b=500kN-m,M_t=400kN-m$

Equivalent torsional moment, $\left(T_c\right)=\sqrt{(k_b{M}_b{)}^2+(k_t{M}_t{)}^2}$

$T_c=\sqrt{(1.5\times 500{)}^2+(2\times 400{)}^2}$

$T_c=1096.58kN-m$