07-03ChapGere.0010

07-03ChapGere.0010 - S 2 x O S 1 y u s 2 5 12.53 8 8500 psi...

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Data for 7.4-21 s x 52 12,300 psi, s y 52 19,500 psi, t xy 52 7700 psi SECTION 7.4 Mohr’s Circle for Plane Stress 461 Solution 7.4-21 Principal stresses s x 52 12,300 psi s y 52 19,500 psi t xy 52 7700 psi (All stresses in psi) (a) P RINCIPAL STRESSES Point P 1 : s 1 52 15,900 1 R 52 7400 psi Point P 2 : s 2 52 15,900 2 R 52 24,400 psi u p 2 5 57.53 8 2 u p 2 5 180 82 a 5 115.06 8 u p 1 52 32.47 8 2 u p 1 52 a 52 64.94 8 a 5 arctan 7700 3600 5 64.94 8 R 5 Ï (3600) 2 1 (7700) 2 5 8500 psi (b) M AXIMUM SHEAR STRESSES Point S 1 : s aver 52 15,900 psi t max 5 R 5 8500 psi Point S 2 : s aver 52 15,900 psi t min 52 8500 psi u s 2 5 12.53 8 2 u s 2 5 90 82 a 5 25.06 8 u s 1 5 102.53 8 2 u s 1 5 270 82 a 5 205.06 8 7700 7700 3600 12,300 15,900 19,500 P 2 S 2 S 1 P 1 C B O 2 u s 2 s x 1 A ( u 5 0) R 2 u p 2 a t x 1 y 1 O u p 2 5 57.53 8 7400 psi y x P 2 P 1 24,400 psi
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Unformatted text preview: S 2 x O S 1 y u s 2 5 12.53 8 8500 psi 15,900 psi 15,900 psi Data for 7.4-22 s x 5 2 3.1 MPa, s y 5 7.9 MPa, t xy 5 2 13.2 MPa Solution 7.4-22 Principal stresses s x 5 2 3.1 MPa s y 5 7.9 MPa t xy 5 2 13.2 MPa (All stresses in MPa) a 5 arctan 13.2 5.5 5 67.38 8 R 5 (5.5) 2 1 (13.2) 2 5 14.3 MPa O R C R S 2 s x 1 t x 1 y 1 B ( u 5 90 8 ) ( u 5 0) A 13.2 a P 2 2.4 7.9 3.1 5.5 13.2 S 1 P 1 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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