User:Egm3520.s12.Team 5.Shankwitz
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Problem Statement
[edit]In 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
[edit]
Solution
[edit]Step One: Draw Free Body Diagrams
[edit]
Step Two: Statics
[edit]From 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)