# Came8pt30 - Q.8.30 Consider a steel rotating disk of hyperbolic cross-section with a = 0.125m b = 0.625 m t i = 0.125m t o = 0.0625m Determine the

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Q.8.30 Consider a steel rotating disk of hyperbolic cross-section with a = 0.125m, b = 0.625 m, , 125 . 0 m t i = . 0625 . 0 m t o = Determine the maximum tangential force that can occur at the outer surface in newtons per meter of circumference if the maximum stress at the bore is not to exceed 140 MPa. Assume that outer and inner edges are free of pressure. Solution: We start by writing the profile equation for the hyperbolic cross-section of the disk; r t t s - × = 1 Now, since we are given the values of the thickness at the inner and outer radii, we solve the following two equations simultaneously for getting s and t 1 ) 125 . 0 ( 125 . 0 1 s t - × = and, ) 625 . 0 ( 0625 . 0 1 s t - × = to get: 0.4306 s and 05104 . 0 1 = = t We will use this value of “s” to solve the auxiliary equation to get values of m m 2 1 , 0 ) . 1 ( 2 = + - + s sm m n which has the roots: + + ± - = ) . 1 ( 2 2 2 2 / 1 2 , 1 s s s m n × + + ± -

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## This note was uploaded on 11/22/2011 for the course EML 6653 taught by Professor Law during the Fall '09 term at University of South Florida - Tampa.

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Came8pt30 - Q.8.30 Consider a steel rotating disk of hyperbolic cross-section with a = 0.125m b = 0.625 m t i = 0.125m t o = 0.0625m Determine the

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