The solid 25-mm-diameter shaft is used to transmit the torques applied to gears C and D shown in Figure Q4. The material of the shaft is aluminum with the shear modulus of elasticity G = 26 GPa. The allowable shear stress of the design is Tallow = 100 MPa, while the angle of twist of disk D relative to A is limited at maximum value of 2°. 300 N-m 500 N-m 200 N-m 400 N-m 300 mm 400 mm 500 mm Figure Q4: Gears supported by solid cylindrical shaft (a) Draw internal torque diagram along the shaft AB. (b) Determine maximum absolute shear stress in each section and ascertain whether the shaft remains in safe condition. (c) Determine the angle of twist of post D of the shaft relative to end A. and ascertain whether the choft meete the decign requirament

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.3.19P: A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the...
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The solid 25-mm-diameter shaft is used to transmit the torques applied to gears C and D
shown in Figure Q4. The material of the shaft is aluminum with the shear modulus of
elasticity G = 26 GPa. The allowable shear stress of the design is Tallow = 100 MPa, while the
angle of twist of disk D relative to A is limited at maximum value of 2°.
300 N-m 500 N-m
A
200 N-m
400 N-m
300 mm
400 mm
500 mm
Figure Q4: Gears supported by solid cylindrical shaft
(a)
Draw internal torque diagram along the shaft AB.
(b)
Determine maximum absolute shear stress in each section and ascertain whether the
shaft remains in safe condition.
(c)
Determine the angle of twist of post D of the shaft relative to end A. and ascertain
whether the shaft meets the design requirement.
Transcribed Image Text:The solid 25-mm-diameter shaft is used to transmit the torques applied to gears C and D shown in Figure Q4. The material of the shaft is aluminum with the shear modulus of elasticity G = 26 GPa. The allowable shear stress of the design is Tallow = 100 MPa, while the angle of twist of disk D relative to A is limited at maximum value of 2°. 300 N-m 500 N-m A 200 N-m 400 N-m 300 mm 400 mm 500 mm Figure Q4: Gears supported by solid cylindrical shaft (a) Draw internal torque diagram along the shaft AB. (b) Determine maximum absolute shear stress in each section and ascertain whether the shaft remains in safe condition. (c) Determine the angle of twist of post D of the shaft relative to end A. and ascertain whether the shaft meets the design requirement.
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