15.15 (B) The cast iron used in the manufacture of an engineering component has tensile and compressive strengths of 400 MN/m2 and 1.20 GN/m? respectively. (a) If the maximum value of the tensile principal stress is to be limited to one-quarter of the tensile strength, determine the maximum value and nature of the other principal stress using Mohr's modified yield theory for brittle materials. (b) What would be the values of the principal stresses associated with a maximum shear stress of 450 MN/m? according to Mohr's modified theory? 50 MN/ m2 100 MN/m2 100 MN/m? 100 MN/m? (a) (b)

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15.15 (B) The cast iron used in the manufacture of an engineering component has tensile and compressive
strengths of 400 MN/m2 and 1.20 GN/m? respectively.
(a) If the maximum value of the tensile principal stress is to be limited to one-quarter of the tensile strength,
determine the maximum value and nature of the other principal stress using Mohr's modified yield theory for
brittle materials.
(b) What would be the values of the principal stresses associated with a maximum shear stress of 450 MN/m2
according to Mohr's modified theory?
50 MN/ m2
100 MN/m2
100 MN/m?
100 MN/m?
(a)
(b)
Fig. 15.19.
(c) Estimate the safety factor with respect to initial failure for the stress conditions of Fig. 15.19 using the
maximum principal stress, maximum shear stress, distortion energy and Mohr's modified theories of elastic
failure.
[B.P.] [-900 MN/m2; 150, -750 MN/m2; 4, 4, 4.7, 4 and 4, 2, 2.4, 3.]
Transcribed Image Text:15.15 (B) The cast iron used in the manufacture of an engineering component has tensile and compressive strengths of 400 MN/m2 and 1.20 GN/m? respectively. (a) If the maximum value of the tensile principal stress is to be limited to one-quarter of the tensile strength, determine the maximum value and nature of the other principal stress using Mohr's modified yield theory for brittle materials. (b) What would be the values of the principal stresses associated with a maximum shear stress of 450 MN/m2 according to Mohr's modified theory? 50 MN/ m2 100 MN/m2 100 MN/m? 100 MN/m? (a) (b) Fig. 15.19. (c) Estimate the safety factor with respect to initial failure for the stress conditions of Fig. 15.19 using the maximum principal stress, maximum shear stress, distortion energy and Mohr's modified theories of elastic failure. [B.P.] [-900 MN/m2; 150, -750 MN/m2; 4, 4, 4.7, 4 and 4, 2, 2.4, 3.]
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