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610_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 610_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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604 CHAPTER 7 Analysis of Stress and Strain Problems 7.4-17 s x 7300 psi, s y 0 psi, t xy 1300 psi Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. Solution 7.4-17 (a) P RINCIPAL STRESSES u p 2 a + 180° 2 u p 2 99.8° ; u p 1 a 2 u p 1 9.80° a atan a ` t xy s x s aver ` b a 19.60° R 2 ( s x s aver ) 2 + t xy 2 R 3875 psi s aver s x + s y 2 s aver 3650 psi s x 7300 psi s y 0 psi t xy 1300 psi (b) M AXIMUM SHEAR STRESSES t max R t max 3875 psi ; Point S1: s aver 3650 psi ; u s 2 90° + u s 1 u s 2 54.8° u s 1 90° + a 2 u s 1 35.2° s 2 225 psi Point P2: s 2 R + s aver s 1 7525 psi ; Point P1: s 1 R + s aver Problems 7.4-18 s x 0 MPa, s y 23.4 MPa, t xy 9.6 MPa Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal
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