07-03ChapGere.0009

07-03ChapGere.0009 - AXIMUM SHEAR STRESSES Point S 1 : s...

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460 CHAPTER 7 Analysis of Stress and Strain (a) P RINCIPAL STRESSES Point P 1 : s 1 5 4100 1 R 5 7850 psi Point P 2 : s 2 5 4100 2 R 5 350 psi u p 2 52 26.57 8 2 u p 2 52 a 52 53.13 8 u p 1 5 63.43 8 2 u p 1 5 180 82 a 5 126.87 8 (b) M AXIMUM SHEAR STRESSES Point S 1 : s aver 5 4100 psi t max 5 R 5 3750 psi Point S 2 : s aver 5 4100 psi t min 52 3750 psi u s 2 5 108.43 8 2 u s 2 5 270 82 a 5 216.87 8 u s 1 5 18.43 8 2 u s 1 5 90 82 a 5 36.87 8 O u P 1 5 63.43 8 7850 psi y x P 2 P 1 350 psi S 2 x O S 1 y 4100 psi u s 1 5 18.43 8 3750 psi 4100 psi Data for 7.4-20 s x 5 3100 kPa, s y 5 8700 kPa, t xy 52 4500 kPa Solution 7.4-20 Principal stresses s x 5 3100 kPa s y 5 8700 kPa t xy 52 4500 kPa (All stresses in kPa) (a) P RINCIPAL STRESSES Point P 1 : s 1 5 5900 1 R 5 11,200 kPa Point P 2 : s 2 5 5900 2 R 5 600 kPa u p 2 5 29.05 8 2 u p 2 5 a 5 58.11 8 u p 1 5 119.05 8 2 u p 1 5 a 1 180 85 238.11 8 a 5 arctan 4500 2800 5 58.11 8 R 5 Ï (2800) 2 1 (4500) 2 5 5300 kPa (b) M
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Unformatted text preview: AXIMUM SHEAR STRESSES Point S 1 : s aver 5 5900 kPa t max 5 R 5 5300 kPa Point S 2 : s aver 5 5900 kPa t min 5 2 5300 kPa u s 2 5 164.05 8 2 u s 2 5 270 8 1 a 5 328.11 8 u s 1 5 74.05 8 2 u s 1 5 90 8 1 a 5 148.11 8 O A S 2 R P 2 S 1 P 1 C R R 2800 4500 4500 3100 5900 8700 t x 1 y 1 s x 1 B ( u 5 90 8 ) a 2 u p 2 ( u 5 0) 4500 O u p 2 5 29.05 8 600 kPa y x P 2 P 1 11,200 kPa S 2 x O S 1 y 5900 kPa u s 1 5 74.05 8 5900 kPa 5300 kPa A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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