Question

If a point load acting at the mid-span of a fixed beam of uniform section produces fixed end moments of 60 kN-m, then the same load spread uniformly over the entire span will produce fixed end moments equal to

• A. 20 kN-m
• B. 45 kN-m
• C. 40 kN-m
• D. 30 kN-m

Answer 1

The correct option is C 40 kN-m

Fixed end moment due to central point load,

$M_1=\frac{PL}{8}=60\text{kN-m}$

$\text{The fixed end moment due to uniformly distributed load is}\frac{PL}{12}.$
$\text{Thus it is equal to 40 kN-m.}$