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/mm^{2}. Determine the moment of resistance of the beam section.
Solution
Section modulus, Z = πd ^{3} /32
= (π/32 )× (100)^{3} = 98.17 × 10^{3} mm3
Moment of resistance, M = σ × Z
= 50 × 98.17 × 10^{3}
= 4908.5 × 103 N mm = 4.91 kN m
Therefore, Moment of resistance of beam section = 4.91 kN m.