Question

The influence line diagram (ILD) per a force in a truss member is shown in the figure. If a uniformly distributed load (UDL) of intensity of 30 kN/m longer than the span traverses. then the maximum compression in the member is

• A. 17.4 kN
• B. 69.66 kN
• C. 92.8 kN
• D. 23.186 kN

Answer 1

The correct option is D 23.186 kN


From similar triangle x = 1.33 m
Maximum compressive force = w[Area of ILD under UDL]
= w[Area of ILD under UDL]
$=[\frac{1}{2}\times 5.33\times 0.29]=23.186kN$