Question

A simply supported beam of width 100 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is (correct to one decimal place)

• A. 30

Answer 1

The correct option is A 30
Maximum B.M

$M=\frac{w{L}^2}{8}=\frac{10\times 16}{8}=20kNm$ (L=4 m)

Maximum bending stress,

${\sigma }_{max}=\frac{M}{I}{y}_{max}=\frac{20\times {10}^3}{\left(\frac{0.1\times {0.2}^3}{12}\right)}\times 0.1$

$=30\times {10}^{6}N/m^2=30MPa$