613_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

613_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 1:19 PM Page 607 SECTION 7.4 Mohr’s Circle s2 us2 ; 12.6 MPa Point S1: saver (b) MAXIMUM SHEAR STRESSES 90° + a 2 us1 us1 90° + us1 tmax R us2 168.3° ; 2.8 MPa tmax ; 15.4 MPa 78.3° Problems 7.4-23 sx 800 psi, sy 2200 psi, txy 2900 psi Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. Solution 7.4-23 sx saver R a 800 psi sy sx + sy 2(sx atan a ` 2 saver txy saver `b (a) PRINCIPAL STRESSES a up1 up1 31.3° 2 up2 180° + a 2 2900 psi Point P1: s1 s1 700 psi R + saver R a 3265 psi 62.65° s2 R + saver us2 90° + a 2 us1 90° + us1 us2 Point S1: saver up2 121.3° ; ; 3965 psi (b) MAXIMUM SHEAR STRESSES us1 ; ; 2565 psi Point P2: s2 saver)2 + txy2 sx txy 2200 psi tmax ; 76.3° 700 psi R ; 13.7° tmax ; 3265 psi 607 ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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