03-03ChapGere.0011

03-03ChapGere.0011 - t is constant and equal to 6.0 mm. (a)...

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Problem 3.10-3 A thin-walled aluminum tube of rectangular cross section (see figure) has a centerline dimensions b 5 6.0 in. and h 5 4.0 in. The wall thickness t is constant and equal to 0.25 in. (a) Determine the shear stress in the tube due to a torque T 5 15 k-in. (b) Determine the angle of twist (in degrees) if the length L of the tube is 50 in. and the shear modulus G is 4.0 3 10 6 psi. Solution 3.10-3 Thin-walled tube 246 CHAPTER 3 Torsion t b h b 5 6.0 in. h 5 4.0 in. t 5 0.25 in. T 5 15 k-in. L 5 50 in. G 5 4.0 3 10 6 psi Eq. (3-64): A m 5 bh 5 24.0 in. 2 J 5 28.8 in. 4 (a) S HEAR STRESS (E Q . 3-61) (b) A NGLE OF TWIST (E Q . 3-72) 5 0.373 8 f 5 TL GJ 5 0.0065104 rad t 5 T 2 tA m 5 1250 psi Eq. (3-71) Ê with Ê t 1 5 t 2 5 t : Ê J 5 2 b 2 h 2 t b 1 h t b h Problem 3.10-4 A thin-walled steel tube of rectangular cross section (see figure) has centerline dimensions b 5 150 mm and h 5 100 mm. The wall thickness
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Unformatted text preview: t is constant and equal to 6.0 mm. (a) Determine the shear stress in the tube due to a torque T 5 1650 N ? m. (b) Determine the angle of twist (in degrees) if the length L of the tube is 1.2 m and the shear modulus G is 75 GPa. Solution 3.10-4 Thin-walled tube b 5 150 mm h 5 100 mm t 5 6.0 mm T 5 1650 N ? m L 5 1.2 m G 5 75 GPa Eq. (3-64): A m 5 bh 5 0.015 m 2 J 5 10.8 3 10 2 6 m 4 Eq. (3-71) with t 1 5 t 2 5 t : J 5 2 b 2 h 2 t b 1 h (a) S HEAR STRESS (Eq. 3-61) (b) A NGLE OF TWIST (Eq. 3-72) 5 0.140 8 f 5 TL GJ 5 0.002444 rad t 5 T 2 tA m 5 9.17 MPa t b h Use with Prob. 3.10-4 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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