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Asked Dec 19, 2019
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Problem 2

A motor drives three torque loads at a constant angular velocity as shown. The diameters of the solid shaft are given below. Find the maximum torsional shearing stress in each segment of the shaft.
Тв
Tc
Tp
18.2 ft - lb
38.7 ft · lb
70.1 ft - Ib
di
d2
dz
d4
0.67 in
0.62 in
0.81 in
0.72 in
O90 2014 Michael Swanbom
Te
C
BEARING
MOTOR
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A motor drives three torque loads at a constant angular velocity as shown. The diameters of the solid shaft are given below. Find the maximum torsional shearing stress in each segment of the shaft. Тв Tc Tp 18.2 ft - lb 38.7 ft · lb 70.1 ft - Ib di d2 dz d4 0.67 in 0.62 in 0.81 in 0.72 in O90 2014 Michael Swanbom Te C BEARING MOTOR

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For the given problem the end of the shaft is placed on the bearing. The shaft will freely rotate Drawing the torque diagram for the given assembly, Tab = 127 lb.ft !Tbe = 108.8 lb.ft Ted = 70.1 lb.ft Tde = 0 B A For shaft AB, the torque will be, Tab = T, +T, +T T =18.2+38.7+70.1 ab T =127 lb.ft I ab For shaft BC, the torque will be, T = 127–T, T. =127–18.2 T. = 108.8 lb.ft bc '11 1

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Writing the formula for shear maximum shear stress subjected to a torque 16T nd Where T is the applied torque, & d is the diameter of the shaft.

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Calculation for maximum shear stress for section AB: 16T та 16T ab ab та; 16x127 Ax(0.81/12) Tas = 2.1x10 lb/ft? ab

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