Gear
Train Application
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Example: The gear train shown below
consists of shafts 1 and 2 connected by gear 1 and gear 2. An applied torque, TA, causes
end A of shaft 1 to rotate thru an angle, φA .
For the given data,
calculate the angle of twist, φA . Also find the maximum shear stress developed in each shaft. Data Shearing modulus of
elasticity, G = 10 x 106
psi. Shaft length, L = 100 inches. The diameter of each shaft
is 5 inches. TA = 5,000 ft
lb. R1 = 4 in, R2 = 12 in. |
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Strategy: Step 1: Determine the torques
in each shaft by passing sections in the shafts as shown below. Let
F be the force developed on the gear teeth. |
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with this example. |
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