The stresses on the surface of a cast iron machine component are sx = 85 MPa, =-230 MPa, and fy = 125 MPa. The cast iron has a yield strength of sy 350 МРа. (a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory? (b) What is the value of the Mises equivalent stress for the given stațe of plane stress? What is the factor of safety predicted by the failure criterion of the (c) maximum-distortion-energy theory of failure? Does the component fail according to this theory? Possible A nswers: 1- a) 0.87; b) 356 Mpa ; c) 0.984
The stresses on the surface of a cast iron machine component are sx = 85 MPa, =-230 MPa, and fy = 125 MPa. The cast iron has a yield strength of sy 350 МРа. (a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory? (b) What is the value of the Mises equivalent stress for the given stațe of plane stress? What is the factor of safety predicted by the failure criterion of the (c) maximum-distortion-energy theory of failure? Does the component fail according to this theory? Possible A nswers: 1- a) 0.87; b) 356 Mpa ; c) 0.984
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The stresses on the surface of a cast iron machine component are sx = 85 MPa,
=-230 MPa, and fy = 125 MPa. The cast iron has a yield strength of sy 350
МРа.
(a) What is the factor of safety predicted by the maximum-shear-stress theory
of failure for the stress state shown? Does the component fail according to
this theory?
(b) What is the value of the Mises equivalent stress for the given stațe of
plane stress?
What is the factor of safety predicted by the failure criterion of the
(c)
maximum-distortion-energy theory of failure? Does the component fail
according to this theory?
Possible A nswers:
1- a) 0.87; b) 356 Mpa ; c) 0.984
2- a) 2.41 ; b) 237 Mpa ; c) 1.476
3- a) 0.87; b) 237 Mpa; c) 1.476
4- a) 2.41 ; b) 356 Mpa; c) 0.984
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