Question: Repeat Prob. 512 by first plotting the failure loci in the A , B plane to scale; then for each stress state, plot

Repeat Prob. 5–12 by first plotting the failure loci in the σA, σB plane to scale; then for each stress state, plot the load line and by graphical measurement estimate the factor of safety


A ductile material has the properties Syt = 60 kpsi and Syc = 75 kpsi. Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of plane stress given in Prob. 5–3.


For a bar of AISI 1030 hot-rolled steel and:

(a) σx = 25 kpsi, σy = 15 kpsi 

(b) σx = 15 kpsi, σy = -15 kpsi 

(c) σx = 20 kpsi, σy = −10 kpsi 

(d) σx = -12 kpsi , σy = 15 kpsi , τxy = -9 kpsi 

(e) σx = -24 kpsi , σy = -24 kpsi , τxy = -15 kpsi 

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