Question
Consider an elastic straight beam of length L = 10π m, with square cross-section of side a = 5 mm, and Young’s modulus E = 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler-Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is _________ MPa.
Answer :
100
L = 10 π m
a = 5 mm
E = 200 GPa
Perimeter of wire = Length of wire
2πR = 10π
R = 5 m
We know that,
M / I = σ/y = E/R
Now,
σ/y = E /R
σb = (200•103•2.5•10-3)/5 = 100 MPa
Copyright © 2025 Test Academy All Rights Reserved