Required information A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of $S_{yt} = 60$ kpsi and $S_{yc} = 75$ kpsi. Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of plane stress. $\sigma_x = 18$ kpsi, and $\tau_{xy} = -9$ kpsi (Round the final answer to three decimal places.) The factor of safety is 2.478.

Name: required information a ductile hot rolled steel bar has a minimum yield strength in tension and compression of syt 60 kpsi and syc 75 kpsi using the ductile coulomb mohr theory determine t 78474
Uploaded: 2023-09-18T09:10:39-08:00
Duration: 3 min 38 s
Channel: Adi S
Description: required information a ductile hot rolled steel bar has a minimum yield strength in tension and compression of syt 60 kpsi and syc 75 kpsi using the ductile coulomb mohr theory determine t 78474

          Required information
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of $S_{yt} = 60$ kpsi and $S_{yc} = 75$ kpsi. Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of plane stress.

$\sigma_x = 18$ kpsi, and $\tau_{xy} = -9$ kpsi
(Round the final answer to three decimal places.)

The factor of safety is 2.478.

required information a ductile hot rolled steel bar has a minimum yield strength in tension and compression of syt 60 kpsi and syc 75 kpsi using the ductile coulomb mohr theory determine t 78474

Added by David R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/18/2023

Step 1

The formula for principal stresses is: $$\sigma_{1,2} = \frac{\sigma_x + \sigma_y}{2} \pm \sqrt{(\frac{\sigma_x - \sigma_y}{2})^2 + \tau_{xy}^2}$$ In this case, $\sigma_x = 18$ kpsi, $\sigma_y = 0$ kpsi (since it's not given, we assume plane stress condition), and Show more…

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Required information A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of $S_{yt} = 60$ kpsi and $S_{yc} = 75$ kpsi. Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of plane stress. $\sigma_x = 18$ kpsi, and $\tau_{xy} = -9$ kpsi (Round the final answer to three decimal places.) The factor of safety is 2.478.