A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 50 kpsi. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: (a) a = 12 kpsi, o, = 6 kpsi (b) a = 12 kpsi, Txy = -8 kpsi (c) a = -6 kpsi, o, = -10 kpsi, Ty = -5 kpsi

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.32P
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can you solve (a) and (c) using mohrs circle

 

5-1
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 50 kpsi.
Using the distortion-energy and maximum-shear-stress theories determine the factors of safety
for the following plane stress states:
(a) o = 12 kpsi, o, = 6 kpsi
(b) σx = 12 kpsi, Txy = -8 kpsi
(c) σx = -6 kpsi, oy = -10 kpsi, Txy
(d) a = 12 kpsi, oy = 4 kpsi, Txy = 1 kpsi
-5 kpsi
Transcribed Image Text:5-1 A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 50 kpsi. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: (a) o = 12 kpsi, o, = 6 kpsi (b) σx = 12 kpsi, Txy = -8 kpsi (c) σx = -6 kpsi, oy = -10 kpsi, Txy (d) a = 12 kpsi, oy = 4 kpsi, Txy = 1 kpsi -5 kpsi
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