07-03ChapGere.0011

07-03ChapGere.0011 - (b) M AXIMUM SHEAR STRESSES Point S 1...

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462 CHAPTER 7 Analysis of Stress and Strain (a) P RINCIPAL STRESSES Point P 1 : s 1 5 2.4 1 R 5 16.7 MPa Point P 2 : s 2 52 R 1 2.4 52 11.9 MPa u p 2 5 33.69 8 2 u p 2 5 a 5 67.38 8 u p 1 5 123.69 8 2 u p 1 5 180 81 a 5 247.38 8 (b) M AXIMUM SHEAR STRESSES Point S 1 : s aver 5 2.4 MPa t max 5 R 5 14.3 MPa Point S 2 : s aver 5 2.4 MPa t min 52 14.3 MPa u s 2 52 11.31 8 2 u s 2 52 90 81 a 52 22.62 8 u s 1 5 78.69 8 2 u s 1 5 a 1 90 85 157.38 8 O u p 2 5 33.69 8 16.7 MPa y x P 2 P 1 11.9 MPa S 2 x O S 1 y u s 1 5 78.69 8 2.4 MPa 14.3 MPa 2.4 MPa Data for 7.4-23 s x 5 700 psi, s y 52 2500 psi, t xy 5 3000 psi Solution 7.4-23 Principal stresses s x 5 700 psi s y 52 2500 psi t xy 5 3000 psi (All stresses in psi) (a) P RINCIPAL STRESSES Point P 1 : s 1 52 900 1 R 5 2500 psi Point P 2 : s 2 52 900 2 R 52 4300 psi u p 2 5 120.96 8 2 u p 2 5 180 81 a 5 241.93 8 u p 1 5 30.96 8 2 u p 1 5 a 5 61.93 8 a 5 arctan 3000 1600 5 61.93 8 R 5 Ï (1600) 2 1 (3000) 2 5 3400 psi
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Unformatted text preview: (b) M AXIMUM SHEAR STRESSES Point S 1 : s aver 5 2 900 psi t max 5 R 5 3400 psi Point S 2 : s aver 5 2 900 psi t min 5 2 3400 psi u s 2 5 75.96 8 2 u s 2 5 90 8 1 a 5 151.93 8 u s 1 5 2 14.04 8 2 u s 1 5 2 90 8 1 a 5 2 28.07 8 t x 1 y 1 ( u 5 90 8 ) B 2500 3000 1600 3000 700 900 O R C R S 2 S 1 A ( u 5 0) P 2 a P 1 s x 1 O u p 1 5 30.96 8 4300 psi y x S 1 s 2 2500 psi S 2 x O S 1 y u s 2 5 75.96 8 900 psi 900 psi 3400 psi A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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