determine the moment of resistance of the beama

Question

Determine the moment of resistance of the beam:

A circular beam of diameter 100 mm is subjected to bending. The maximum bending stress is restricted to 50 N/mm². Determine the moment of resistance of the beam section.

Solution

Section modulus, Z = πd ³ /32

= (π/32 )× (100)³ = 98.17 × 10³ mm3

Moment of resistance, M = σ × Z

= 50 × 98.17 × 10³

= 4908.5 × 103 N mm = 4.91 kN m

Therefore, Moment of resistance of beam section = 4.91 kN m.