Egm3520.s12.Team 5.Shankwitz
Joined 29 January 2013
Problem Statement
editIn the image below, there are two steel shafts, ABC and DEF, for which the maximum allowable shear stress is 8500 psi. They are connected by gears at A and D of given radii 4 in. and 2.5 in., respectively. There is a known applied torque at C, TC of 5 kips•in. and an unknown torque, TF, applied at F
Determine the minimum diameter of bars BC and EF.
Given
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Solution
editStep One: Draw Free Body Diagrams
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Step Two: Statics
editFrom the free body diagrams of bars AC and DF, we can deduce the following:
(4.2-1)
(4.2-2)
From the definition of torque, we get
(4.2-3)
(4.2-4)
So, setting (4.2-4) equal to (4.2-3) can be represented as
(4.2-5)