04-01ChapGere.0010 - V and M occur at x 5 b . 1 w L 2 a 6 g...

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Problem 4.3-15 The centrifuge shown in the figure rotates in a horizontal plane (the xy plane) on a smooth surface about the z axis (which is vertical) with an angular acceleration a . Each of the two arms has weight w per unit length and supports a weight W 5 2.0 wL at its end. Derive formulas for the maximum shear force and maximum bending moment in the arms, assuming b 5 L /9 and c 5 L /10. Solution 4.3-15 Rotating centrifuge 268 CHAPTER 4 Shear Forces and Bending Moments b c L W x W y a x W g __ ( L + b + c ) a w a x g __ Tangential acceleration 5 r a Maximum
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Unformatted text preview: V and M occur at x 5 b . 1 w L 2 a 6 g (2 L 1 3 b ) 5 W a g ( L 1 b 1 c )( L 1 c ) 1 # L 1 b b w a g x ( x 2 b ) dx M max 5 W a g ( L 1 b 1 c )( L 1 c ) 1 wL a 2 g ( L 1 2 b ) 5 W a g ( L 1 b 1 c ) V max 5 W g ( L 1 b 1 c ) a 1 # L 1 b b w a g x dx Inertial force Mr a 5 W g r a Substitute numerical data: M max 5 229 wL 3 a 75 g V max 5 91 wL 2 a 30 g W 5 2.0 wL b 5 L 9 c 5 L 10 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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