03-01ChapGere.0021

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Solution 3.4-5 Hollow tube of monel metal SECTION 3.4 Nonuniform Torsion 201 d 2 5 1.0 in. t allow 5 12,000 psi u allow 5 2 8 /ft 5 0.16667 8 /in. 5 0.002909 rad/in. From Table H-2, Appendix H: G 5 9500 ksi T ORQUES T 1 5 1000 lb-in. T 2 5 500 lb-in. T 3 5 800 lb-in. T 4 5 500 lb-in. T 5 5 800 lb-in. I NTERNAL TORQUES T AB 52 T 1 1000 lb-in. T BC T 1 1 T 2 500 lb-in. T CD T 1 1 T 2 2 T 3 1300 lb-in. T DE T 1 1 T 2 2 T 3 1 T 4 800 lb-in. Largest torque (absolute value only): T max 5 1300 lb-in. R EQUIRED POLAR MOMENT OF INERTIA BASED UPON ALLOWABLE SHEAR STRESS R EQUIRED POLAR MOMENT OF INERTIA BASED UPON ALLOWABLE ANGLE OF TWIST S HEAR STRESS GOVERNS Required I P 5 0.05417 in. 4 5 0.4482 in. 4 (Maximum permissible inside diameter) d 1 5 0.818 in. Ê d 1 4 5 d 2 4 2 32 I P p 5 (1.0 in.) 4 2 32(0.05417 in. 4 ) p I P 5 p 32 ( d 2 4 2 d 1 4 ) u 5 T max GI P Ê I P 5 T max G u allow 5 0.04704 in. 4 t max 5 T max r I P Ê I P 5 T max ( d 2 / 2) t allow 5 0.05417 in. 4 d 2 d 1 AB C D E T 1 T 2 T 3 T 4 T 5 Problem 3.4-6 A shaft of solid circular cross section consisting of two segments is shown in the first part of the figure. The left-hand segment
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## This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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