610_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

610_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 604 1:19 PM Page 604 CHAPTER 7 Analysis of Stress and Strain Problems 7.4-17 sx 7300 psi, sy 0 psi, txy 1300 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 7.4-17 7300 psi sy sx saver R 2(sx sx + sy atan a ` a 0 psi txy saver 2 2 saver) + txy sx saver 1300 psi Point P1: s1 s1 3650 psi txy2 R `b a up1 9.80° up2 a + 180° 2 up2 225 psi (b) MAXIMUM SHEAR STRESSES 19.60° (a) PRINCIPAL STRESSES a 2 R + saver s2 3875 psi ; 7525 psi Point P2: s2 us1 up1 R + saver us2 ; 90° + a 2 90° + us1 Point S1: saver tmax 99.8° us1 us2 54.8° ; 3650 psi tmax R 35.2° ; 3875 psi Problems 7.4-18 sx 0 MPa, sy 23.4 MPa, txy 9.6 MPa 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 7.4-18 sx 0 MPa sy saver R a 2(sx 23.4 MPa txy sx + sy atan a ` saver 2 sx saver R `b a Point P1: s1 R + saver s1 11.70 MPa saver)2 + txy2 txy 9.6 MPa 3.43 MPa Point P2: s2 R + saver s2 26.8 MPa 15.1344 MPa (a) PRINCIPAL STRESSES up1 up2 us2 up1 up1 + 90° 19.68° up2 70.32° ; (b) MAXIMUM SHEAR STRESSES 39.37° us1 a 2 ; ; a 90° 2 90 ° + us1 Point S1: saver ; tmax R tmax us1 us2 ; 64.7° 25.3° 11.70 MPa 15.13 MPa ; ...
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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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