03-03ChapGere.0021

03-03ChapGere.0021 - K 5 t max p D 1 3 16 T t max 5 K t nom...

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Problem 3.11-4 The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D 1 5 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter D 2 will this stress be reached? Is this diameter an upper or a lower limit on the value of D 2 ? Solution 3.11-4 Stepped shaft in torsion 256 CHAPTER 3 Torsion T T R D 2 D 1 P 5 600 kW D 1 5 100 mm n 5 400 rpm t allow 5 100 MPa Full quarter-circular fillet P OWER (Eq. 3-42 of Section 3.7) P 5 watts n 5 rpm T 5 Newton meters U SE F IG . 3-48 FOR THE STRESS - CONCENTRATION FACTOR 5 (100 MPa)( p )(100 mm) 3 16(14,320 N # m) 5 1.37
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Unformatted text preview: K 5 t max ( p D 1 3 ) 16 T t max 5 K t nom 5 K ¢ 16 T p D 1 3 ≤ T 5 60 P 2 p n 5 60(600 3 10 3 W) 2 p (400 rpm) 5 14,320 N # m P 5 2 p nT 60 Use the dashed line for a full quarter-circular fillet. D 2 5 D 1 1 2 R 5 100 mm 1 2(7.5 mm) 5 115 mm This value of D 2 is a lower limit (If D 2 is less than 115 mm, R / D 1 is smaller, K is larger, and t max is larger, which means that the allowable stress is exceeded.) ∴ D 2 < 115 mm 5 7.5 mm 5 0.075 (100 mm) R D 1 < 0.075 Ê R < 0.075 Ê D 1 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 Tech.

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