5. Fig Q5 shows a shaft of gearbox rotating about x axis. Shalt BC is a solid shalt with circul cross section located between two gears. Two forces F,-3 kN and F,-2 kN are applie on the gears as shown in the figure. These two forces create torsional moments (torque about x axis at B and C due to the respecting gear radi. Consequently the shaft experience torsion between Points B and C. The allowable shear stress of the material is 60MPA. Fc the shaft determine: a) the minimum diameter of the shaft BC. b) the twisting angle of the section B of the shaft relative to the section C. Shear modulus of the shaft is 80 GPa 350 mm D 400 mm C 200 mm 75 mm F=2 kN F, = 3 kN 50 mm

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 3.4.15P: A uniformly tapered aluminum-alloy tube AB with a circular cross section and length L is shown in...
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5. Fig Q5 shows a shaft of gearbox rotating about x axis. Shaft BC is a solid shaft with circular
cross section located between two gears. Two forces F,
on the gears as shown in the figure. These two forces create torsional moments (torque)
about x axis at B and C due to the respecting gear radi. Consequently the shaft experiences
torsion between Points B and C. The allowable shear stress of the material is 60MPA. For
the shaft determine:
a) the minimum diameter of the shaft BC.
- 3 kN and F, = 2 kN are applied
b) the twisting angle of the section B of the shaft relative to the
section C. Shear modulus of the shaft is 80 GPa
350 mm
D
400 mm
200 mm
75 mm
F 2 kN
F, = 3 kN
50 mm
Figure Q5.
END OF PAPER
Transcribed Image Text:5. Fig Q5 shows a shaft of gearbox rotating about x axis. Shaft BC is a solid shaft with circular cross section located between two gears. Two forces F, on the gears as shown in the figure. These two forces create torsional moments (torque) about x axis at B and C due to the respecting gear radi. Consequently the shaft experiences torsion between Points B and C. The allowable shear stress of the material is 60MPA. For the shaft determine: a) the minimum diameter of the shaft BC. - 3 kN and F, = 2 kN are applied b) the twisting angle of the section B of the shaft relative to the section C. Shear modulus of the shaft is 80 GPa 350 mm D 400 mm 200 mm 75 mm F 2 kN F, = 3 kN 50 mm Figure Q5. END OF PAPER
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