07-02ChapGere.0004

07-02ChapGere.0004 - : Therefore, s 1 5 30 MPa and s 2 5 2...

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Data for 7.3-13 s x 5 15,000 psi, s y 5 1,000 psi, t xy 5 2,400 psi Solution 7.3-13 Plane stress 442 CHAPTER 7 Analysis of Stress and Strain s x 5 15,000 psi s y 5 1,000 psi t xy 5 2,400 psi (a) P RINCIPAL STRESSES 2 u p 5 18.92 8 and u p 5 9.46 8 2 u p 5 198.92 8 and u p 5 99.46 8 For 2 u p 5 18.92 8 : For 2 u p 5 198.92 8 : Therefore, s 1 5 15,400 psi and s 2 5 600 psi and u p 2 5 99.96 8 u p 1 5 9.46 8 s x 1 5 600 psi s x 1 5 15,400 psi s x 1 5 s x 1 s y 2 1 s x 2 s y 2 cos 2 u 1 t xy sin 2 u tan 2 u p 5 2 t xy s x 2 s y 5 0.34286 (b) M AXIMUM SHEAR STRESSES and t 5 7,400 psi and t 52 7,400 psi s aver 5 s x 1 s y 2 5 8,000 psi u s 2 5 u p 1 1 45 85 54.46 8 u s 1 5 u p 1 2 45 852 35.54 8 t max 5 B ¢ s x 2 s y 2 2 1 t xy 2 5 7,400 psi } } x O u p 1 5 9.46 8 600 psi 15,400 psi y x O 7400 psi u s 2 5 54.46 8 8000 psi 8000 psi y Data for 7.3-14 s x 5 16 MPa, s y 52 96 MPa, t xy 52 42 MPa Solution 7.3-14 Plane stress s x 5 16 MPa s y 52 96 MPa t xy 52 42 MPa (a) P RINCIPAL STRESSES 2 u p 5 2 36.87 8 and u p 5 2 18.43 8 2 u p 5 143.13 8 and u p 5 71.57 8 For 2 u p 5 2 36.87 8 : For 2 u p 5 143.13 8
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Unformatted text preview: : Therefore, s 1 5 30 MPa and s 2 5 2 110 MPa and (b) M AXIMUM SHEAR STRESSES and t 5 70 MPa and t 5 2 70 MPa s aver 5 s x 1 s y 2 5 2 40 MPa u s 2 5 u p 1 1 45 8 5 26.57 8 u s 1 5 u p 1 2 45 8 5 2 63.43 8 t max 5 B s x 2 s y 2 2 1 t xy 2 5 70 MPa u p 2 5 71.57 8 u p 1 5 2 18.43 8 s x 1 5 2 110 MPa s x 1 5 30 MPa s x 1 5 s x 1 s y 2 1 s x 2 s y 2 cos 2 u 1 t xy sin 2 u tan 2 u p 5 2 t xy s x 2 s y 5 2 0.7500 } x O u p 2 5 71.57 8 30 MPa 110 MPa y } x O 70 MPa u s 2 5 26.57 8 40 MPa 40 MPa y A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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