(a) Show that the polar radius of gyration kO of the area shown is approximately equal to the mean radius Rm (R1 R2) 2 for small values of the thickness t R2 R1 (b) Determine the percentage error introduced by using Rm in place of kO for the following values of t Rm 1, 1 4, 1 16 ...

a From Problem 925 And Then Now Then And For Or k 12 Jo 3 R R 3 A dA R 7rdr 7 R R 3r ...

(a) Show that the polar radius of gyration kO of the area shown is approximately equal to...

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(a) Show that the polar radius of gyration kO of the area shown is approximately equal to the mean radius Rm = (R1 + R2)/2 for small values of the thickness t = R2 ˆ’ R1.

(b) Determine the percentage error introduced by using Rm in place of kO for the following values of t/Rm: 1, 1/4, 1/16.

(a) Show that the polar radius of gyration kO of the area shown

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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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Question Posted: Sep 17, 2010 12:17 AM

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(a) Show that the polar radius of gyration kO of the area shown is approximately equal to...

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a From Problem 925 And Then Now Then And For Or k 12 Jo 3 R R 3 A dA R 7rdr 7 R R 3r ...View the full answer

Vector Mechanics for Engineers Statics and Dynamics

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