2) A machine frame is made of steel having Sy= 400 MPa and Say= 250 MPa. When loaded in a test fixture, the stresses were found to vary linearly with load. Two points on the surface were found to be most critical. With a 4-kN test load, stresses at these points were: point a, 0₁ = 200 MPa, 0₂ = 100 MPa; point b, 0₁ = 150 MPa, 0₂ = -100 MPa. Compute the test load at which the frame will experience initial yielding according to the (a) maximum-normal-stress theory, (b) maximum-shear-stress theory, and (c) maximum-distortion-energy theory. Discuss briefly the relative validity of each theory for this application. Considering all the information available, what is your best judgment of the value of the test load at which yielding would actually be expected to begin? σ1 02= 100 MPa a 02 0₂=-100 MPa 9 02 ₁= 200 MPa σ1 = 150 MPa

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2) A machine frame is made of steel having Sy = 400 MPa and Ssy =
250 MPa. When loaded in a test fixture, the stresses were
found to vary linearly with load. Two points on the surface
were found to be most critical. With a 4-kN test load, stresses
at these points were: point a, 0₁ = 200 MPa, 0₂ = 100 MPa;
point b, 0₁ = 150 MPa, 0₂ = -100 MPa. Compute the test load at
which the frame will experience initial yielding according to the
(a) maximum-normal-stress theory, (b) maximum-shear-stress
theory, and (c) maximum-distortion-energy theory. Discuss
briefly the relative validity of each theory for this application.
Considering all the information available, what is your best
judgment of the value of the test load at which yielding would
actually be expected to begin?
02= 100 MPa
a
02
02=-100 MPa
b
02
0₁ = 200 MPa
01 = 150 MPa
Transcribed Image Text:2) A machine frame is made of steel having Sy = 400 MPa and Ssy = 250 MPa. When loaded in a test fixture, the stresses were found to vary linearly with load. Two points on the surface were found to be most critical. With a 4-kN test load, stresses at these points were: point a, 0₁ = 200 MPa, 0₂ = 100 MPa; point b, 0₁ = 150 MPa, 0₂ = -100 MPa. Compute the test load at which the frame will experience initial yielding according to the (a) maximum-normal-stress theory, (b) maximum-shear-stress theory, and (c) maximum-distortion-energy theory. Discuss briefly the relative validity of each theory for this application. Considering all the information available, what is your best judgment of the value of the test load at which yielding would actually be expected to begin? 02= 100 MPa a 02 02=-100 MPa b 02 0₁ = 200 MPa 01 = 150 MPa
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