07-03ChapGere.0007

07-03ChapGere.0007 - 458 A-PDF Analysis of Stress and...

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458 CHAPTER 7 Analysis of Stress and Strain (a) P RINCIPAL STRESSES Point P 1 : s 1 5 R 5 43.5 MPa Point P 2 : s 2 52 R 43.5 MPa u p 2 21.80 8 2 u p 2 a 43.60 8 u p 1 5 68.20 8 2 u p 1 5 180 82 a 5 136.40 8 (b) M AXIMUM SHEAR STRESSES Point S 1 : s aver 5 0 t max 5 R 5 43.5 MPa Point S 2 : s aver 5 0 t min 43.5 MPa u s 2 5 113.20 8 2 u s 2 5 2 u s 1 1 180 85 226.40 8 u s 1 5 23.20 8 2 u s 1 5 90 a 5 46.40 8 O u p 1 5 68.20 8 43.5 MPa 43.5 MPa y x P 1 P 2 u s 1 5 23.20 8 S 1 S 2 O y x 43.5 MPa Data for 7.4-17 s x 5 8400 psi, s y 5 0, t xy 5 1440 psi Solution 7.4-17 Principal stresses s x 5 8400 psi s y 5 0 t xy 5 1440 psi (All stresses in psi) (a) P RINCIPAL STRESSES Point P 1 : s 1 5 4200 1 R 5 8640 psi Point P 2 : s 2 5 4200 2 R 240 psi u p 2 5 99.46 8 2 u p 2 5 180 81 a 5 198.92 8 u p 1 5 9.46 8 2 u p 1 5 a 5 18.92 8 a 5 arctan 1440 4200 5 18.92 8 R 5 Ï (4200) 2 1 (1440) 2 5 4440 psi (b) M AXIMUM SHEAR STRESSES Point S 1 : s aver
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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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