In the gear system of Figure 4, a torque of 5 N-m is applied on gear E. Shaft (1) and shaft (2) are both solid shafts with the length of 300 mm and diameter of 10 mm. They are made of the same material with the shear modulus G = 50 GPa. The bearings allow free rotation of the shafts. 70 teeth 30 teeth (1) TE = 5 N-m E 20 teeth

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
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In the gear system of Figure 4, a torque of 5 N-m is applied on gear E. Shaft (1) and shaft (2) are both solid shafts with the length of 300 mm and diameter of 10 mm. They are made of
the same material with the shear modulus G = 50 GPa. The bearings allow free rotation of the shafts.
70 teeth
30 teeth
B
(1)
TE = 5 N-m
(2)
E
20 teeth
60 teeth
Figure 4
Transcribed Image Text:In the gear system of Figure 4, a torque of 5 N-m is applied on gear E. Shaft (1) and shaft (2) are both solid shafts with the length of 300 mm and diameter of 10 mm. They are made of the same material with the shear modulus G = 50 GPa. The bearings allow free rotation of the shafts. 70 teeth 30 teeth B (1) TE = 5 N-m (2) E 20 teeth 60 teeth Figure 4
38. Determine the reaction torque TA at gear A to keep the entire gear system in equilibrium:
OA. TA = 0.549 N-m
OB. TA = 0.714 N-m
OC. TA = 4.985 N•m
OD. TA = 8.376 N-m
39. Determine the maximum shear stress T, in shaft (2):
OA. T2 = 13.96 MPa
ОВ. Тр 3 18.72 MPaа
ОС. Тр 25.48 MPа
%3D
OD. T2 = 37.86 MPa
40. Determine the angle of twist egA between gear A and gear E:
OA. OEA = 0.061 rad
ОВ. ӨЕА — 0.075 гad
OC. eEA = 0.150 rad
OD. OEA = 0.263 rad
Transcribed Image Text:38. Determine the reaction torque TA at gear A to keep the entire gear system in equilibrium: OA. TA = 0.549 N-m OB. TA = 0.714 N-m OC. TA = 4.985 N•m OD. TA = 8.376 N-m 39. Determine the maximum shear stress T, in shaft (2): OA. T2 = 13.96 MPa ОВ. Тр 3 18.72 MPaа ОС. Тр 25.48 MPа %3D OD. T2 = 37.86 MPa 40. Determine the angle of twist egA between gear A and gear E: OA. OEA = 0.061 rad ОВ. ӨЕА — 0.075 гad OC. eEA = 0.150 rad OD. OEA = 0.263 rad
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