598_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 598_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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592 CHAPTER 7 Analysis of Stress and Strain Problem 7.3-18 At a point on the surface of a machine component the stresses acting on the x face of a stress element are s x ± 42 MPa and t xy ± 33 MPa (see figure). What is the allowable range of values for the stress s y if the maximum shear stress is limited to t 0 ± 35 MPa? Solution 7.3-17 Find the allowable range of values for if the maximum allowable shear stresses is (1) Solve for s y ± a 9029 2771 b psi s y ± s x ² J 2 2 t max 2 ³ t xy 2 ³ a 2 2 t max 2 ³ t xy 2 b K s y t max ± A a s x ³ s y 2 b 2 + t xy 2 t max ± 2500 psi s y s x ± 5900 psi s y unknown t xy ±
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Unformatted text preview: 1950 psi Therefore, From Eq. (1): t max ( s y 1 ) ± A a s x ³ s y 1 2 b 2 + t xy 2 2771 psi … s y … 9029 psi 2.5 ksi t max ( σ y 1 ) σ y 1 2.771 ksi 9.029 ksi y x O t xy = 33 MPa s y s x = 42 MPa Solution 7.3-18 Find the allowable range of values for if the maximum allowable shear stresses is t max ± 35 MPa s y s x ± 42 MPa s y unknown t xy ± 33 MPa (1) t max ± A a s x ³ s y 2 b 2 + t xy 2 07Ch07.qxd 9/27/08 1:18 PM Page 592...
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