Engineering, 07.04.2020 17:23 aklilrodowx1q5
The stress components at a given point in an engineering component are estimated to be xx= 4.1 ksi, yy= 0 ksi, zz= 0.9 ksi, xy= −3.1ksi, yz= 1.2 ksi, xz= 0 ksi. Estimate the factor of safety against yielding using Von Mises theory if the uniaxial yield stress of the material is SY = 17.2 ksi.
Answers: 1
![\sigma_o=\sqrt{\frac{1}{2}\left [ (\sigma_{xx}-\sigma_{yy})^2+(\sigma_{yy}-\sigma_{zz})^2(\sigma_{zz}-\sigma_{xx})^2+6(\sigma_{xy}^2+\sigma_{xy}^2+\sigma_{yz}^2+\sigma_{xz}^2)\right ]}](/tpl/images/0586/5708/ed25c.png)
![\sigma_o=\sqrt{\frac{1}{2}\left [ (4.1-0)^2+(0-0.9)^2+(0.9-4.1)^2+6(3.1^2+0^2+1.2^2)\right ]}](/tpl/images/0586/5708/5efd6.png)
![\sigma_o=\sqrt{\frac{1}{2}\left [ 94.16\right ]}](/tpl/images/0586/5708/2dd4a.png)
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