688_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

688_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 682 11:06 AM Page 682 CHAPTER 8 Applications of Plane Stress LONGITUDINAL STRESS (TENSION) s2 pr T + 2t 2prt pr T + 2t A 375 1000 lb + t 2p(1.25 in.)t 3000 psi 123.84 t Solving, t 1 375 127.32 502.32 + + t t t 0.0413 in. OUT-OF-PLANE SHEAR STRESSES s1 2 Case 2: tmax BIAXIAL STRESS Solving, t2 375 t 0.125 in. s2 2 Case 3: tmax Solving, t3 375 ; 3000 t 251.16 ; 3000 t 251.16 t 0.0837 in. CASE 2, OUT-OF-PLANE SHEAR STRESS GOVERNS tmin 0.125 in. ; IN-PLANE SHEAR STRESS (CASE 1) tmax s2 s1 2 247.68 2t 123.84 t Problem 8.5-8 The torsional pendulum shown in the figure consists of a horizontal circular disk of mass M 60 kg suspended by a vertical steel wire (G 80 GPa) of length L 2 m and diameter d 4 mm. Calculate the maximum permissible angle of rotation fmax of the disk (that is, the maximum amplitude of torsional vibrations) so that the stresses in the wire do not exceed 100 MPa in tension or 50 MPa in shear. d = 4 mm L=2m fmax M = 60 kg ...
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