07-02ChapGere.0005

07-02ChapGere.0005 - s 2 5 2 115.1 MPa and u p 2 5 16.85 8...

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Data for 7.3-15 s x 52 3000 psi, s y 52 12,000 psi, t xy 5 6000 psi Solution 7.3-15 Plane stress SECTION 7.3 Principal Stresses and Maximum Shear Stresses 443 s x 52 3000 psi s y 52 12,000 psi t xy 5 6000 psi (a) P RINCIPAL STRESSES 2 u p 5 53.13 8 and u p 5 26.57 8 2 u p 5 233.13 8 and u p 5 116.57 8 For 2 u p 5 53.13 8 : For 2 u p 5 233.13 8 : Therefore, s 1 5 0 and s 2 52 15,000 psi and u p 2 5 116.57 8 u p 1 5 26.57 8 s x 1 52 15,000 psi s x 1 5 0 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 1.3333 } } x O u p 1 5 26.57 8 15,000 psi y x O 7500 psi u s 2 5 71.57 8 7500 psi 7500 psi y Data for 7.3-16 s x 52 100 MPa, s y 5 50 MPa, t xy 52 50 MPa Solution 7.3-16 Plane stress s x 52 100 MPa s y 5 50 MPa t xy 52 50 MPa (a) P RINCIPAL STRESSES 2 u p 5 33.69 8 and u p 5 16.85 8 2 u p 5 213.69 8 and u p 5 106.85 8 For 2 u p 5 33.69 8 : For 2 u p 5 213.69 8 : Therefore, s 1 5 65.1 MPa and
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Unformatted text preview: s 2 5 2 115.1 MPa and u p 2 5 16.85 8 u p 1 5 106.85 8 s x 1 5 65.1 MPa s x 1 5 2 115.1 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 0.66667 x O u p 2 5 16.85 8 65.1 MPa 115.1 MPa y } (b) M AXIMUM SHEAR STRESSES and t 5 7500 psi and t 5 2 7500 psi s aver 5 s x 1 s y 2 5 2 7500 psi u s 2 5 u p 1 1 45 8 5 71.57 8 u s 1 5 u p 1 2 45 8 5 2 18.43 8 t max 5 B s x 2 s y 2 2 1 t xy 2 5 7500 psi A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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