03-01ChapGere.0012 - Problem 3.3-13 A vertical pole of...

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Problem 3.3-12 Solve the preceding problem if the shaft has outer diameter d 2 5 150 mm and inner diameter d 1 5 100 mm. Also, the steel has shear modulus of elasticity G 5 75 GPa and the applied torque is 16 kN ? m. Solution 3.3-12 Construction auger 192 CHAPTER 3 Torsion d 2 5 150 mm r 2 5 75 mm d 1 5 100 mm r 1 5 50 mm G 5 75 GPa T 5 16 kN ? m (a) S HEAR STRESS AT OUTER SURFACE 5 30.1 MPa Ê t 2 5 Tr 2 I P 5 (16 kN ? m)(75 mm) 39.88 3 10 6 mm 4 I P 5 p 32 ( d 2 4 2 d 1 4 ) 5 39.88 3 10 6 mm 4 (b) S HEAR STRESS AT INNER SURFACE (c) R ATEOF TWIST (d) S HEAR STRESS DIAGRAM u 5 0.005349 rad / m 5 0.306 8 / m Ê u 5 T GI P 5 16 kN ? m (75 GPa)(39.88 3 10 6 mm 4 ) t 1 5 Tr 1 I P 5 r 1 r 2 t 2 5 20.1 MPa d 1 d 2 C C 0 25 50 75 20.1 MPa 30.1 MPa r (mm)
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Unformatted text preview: Problem 3.3-13 A vertical pole of solid circular cross section is twisted by horizontal forces P 5 1100 lb acting at the ends of a horizontal arm AB (see figure). The distance from the outside of the pole to the line of action of each force is c 5 5.0 in. If the allowable shear stress in the pole is 4500 psi, what is the minimum required diameter d min of the pole? d c A P B P c A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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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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