593_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

593_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 1:18 PM Page 587 587 SECTION 7.3 Principal Stresses and Maximum Shear Stresses A (b) MAXIMUM SHEAR STRESSES tmax a sy 2 b + t2 xy sx 2 us1 up1 45° us2 up1+ 45° 65.56° and t 24.44° sx + sy saver 730 psi and t 550 psi 2 730 psi 730 psi f ; ; Problem 7.3-10 A propeller shaft subjected to combined torsion and axial thrust is designed to resist a shear stress of 56 MPa and a compressive stress of 85 MPa (see figure). (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 85 MPa 56 MPa Solution 7.3-10 sx sy 85 MPa 0 MPa Txy 56 MPa up 2 2txy sx sy tmax tmax 26.4° up1 up 2 + 90° s1 s2 sx + sy up1 sy sx + 2 2 sx + sy sy sx + 2 ; 112.8 MPa A (b) MAXIMUM SHEAR STRESSES b 2 up 2 ; 27.8 MPa s2 (a) PRINCIPAL STRESSES atan a s1 2 116.4° ; cos 12up12 + txy sin 12up12 cos 12up22 + txy sin 12up22 us1 saver a sx sy 2 70.3 MPa up1 45° sx + sy 2 2 b + txy2 ; us1 saver 71.4° ; 42.5 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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