Question

A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: (a)sigmax = 100 Mpa, sigmay = 100 MPa (b) c1 = -50 MPa , sigmay= -75 MPa, tauxy = -50 MPa (b)sigmax = 10OMPa, sigmay = 20 Mpa, tauxy= -20MPa

Answer 1

This question is incomplete, here is the complete question:

A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortional-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states:

a) ax=100 MPa, ay=100 MPa

b) ax=100 MPa, ay= 50 MPa

c) ax=100 MPa, Txy=-75 MPa

d) ax=-50 MPa, ay=-75 MPa, Txy=-50 MPa

e) ax=100 MPa, a, 20 MPa, Txy=-20 MPa

Step-by-step explanation:

due to how complex the solution is, The solved answer is in the attached images below.