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Strength Of Materials Miscellaneous

Strength Of Materials

  1. Consider an elastic straight beam of length L = 10 πm, 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 t o this bending problem, the maximum tensile bending stress in the bent beam is ______ MPa.
    1. 102 MPa
    2. 100 MPa
    3. 101 MPa
    4. 99 MPa
Correct Option: B

By bending equation,

σ
=
M
=
E
yIR

σ =
Ey
R

=
200 × 10³ × 2.5 × 10-3
= 100 MPa
5



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