Question

A beam PQRS is 18 m long and is simply supported at points Q and R 10m apart. Overhangs PQ and RS are 3 m and 5m respectively. A train of two point loads of 150 kN and 100 kN, 5m apart, crosses this beam from left to right with 100 kN load leading.
The maximum hogging moment in the beam anywhere is

• A. 500 kNm
• B. 300 kNm
• C. 750 kNm
• D. 450 kNm

Answer 1

The correct option is C 750 kNm


Over hang part RS is greater than PQ so maximum hogging moment will occur at R
Case-1:
When 100 kN load is at S
Bending moment at
R=$100\times 5+150\times 0$
=500 kNm
Case-II
when 150 kN load is at S
Hogging moment at
R=$150\times 5=750kNm$
Hence,maximum hogging moment
= 750 kNm