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At a critical point in a component, the state of stress is given as σxx = 100 MPa, σyy = 220 MPa, σxy = σyx = 80 M Pa and al l ot her st r ess components are zero. The yield strength of the material is 468 MPa. The factor of safety on the basis of maximum shear stress theory is_____ (round off to one decimal place).
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- 1.8
- 1.4
- 2.8
- 2.4
Correct Option: A
Given, σx = 100 MPa
σy = 220 MPa
σxy = 80 MPa
= 160 ± √55² + 80²
σ1, 2 = 160 ± 97.0824
⇒ σ1 = 257.08 Mpa, σ2 = 62.9 Mpa
As per maximum shear stress theory
= | = | 2N | 2 | 2 |
N = | = 1.8 | 257.08 |