Determine the moment of resistance of the beam, Mechanical Engineering

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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.


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