Problem 2: An electric motor operating at 1180 RPM transfers 5.0 kW of power to a gear drive through a solid circular shaft. The shaft has a length of 1 m and is supported by two bearings, one on each side of the gear drive. The shaft is shouldered, with a diameter d along most of the length but a larger diameter D at the gear. The fillet radius r and the two diameters are related by the ratios r/d = 0.15 and D/d = 1.33. The shaft is made of steel, with shear modulus G = 79 GPa and tensile yield strength Sy = 414 MPa. The maximum shear stress (Tmax) is limited to 14 of the shear yield strength (Sys) for steel, and the angle of twist (0) between the motor and gear should not exceed 2.0°. L=1m GEAR DRIVE BEARING BLOCK Determine the diameters d and D to satisfy all conditions. Give answers to the nearest integer value (in mm).

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 2: An electric motor operating at 1180 RPM transfers 5.0 kW of power to a gear drive
through a solid circular shaft. The shaft has a length of 1 m and is supported by two bearings,
one on each side of the gear drive. The shaft is shouldered, with a diameter d along most of the
length but a larger diameter D at the gear. The fillet radius r and the two diameters are related by
the ratios r/d = 0.15 and D/d = 1.33. The shaft is made of steel, with shear modulus G = 79 GPa
and tensile yield strength Sy = 414 MPa.
The maximum shear stress (Tmax) is
limited to 1/4 of the shear yield strength
(Sys) for steel, and the angle of twist (0)
between the motor and gear should not
exceed 2.0°.
L=1m
GEAR DRIVE
Determine the diameters d and D to satisfy all conditions. Give answers to the nearest integer
value (in mm).
Stress Concentration Factor, K
2.4
2.2-
2.0-
1.8-
1.6-
1.4-
1.2
1.0-
0
0.05
0.10
0.15
Ratio, r/d
0.20
0.25
0.30
BEARING BLOCK
D/d = 1.09
D/d = 1.20
D/d = 1.33
D/d = 2.0
Transcribed Image Text:Problem 2: An electric motor operating at 1180 RPM transfers 5.0 kW of power to a gear drive through a solid circular shaft. The shaft has a length of 1 m and is supported by two bearings, one on each side of the gear drive. The shaft is shouldered, with a diameter d along most of the length but a larger diameter D at the gear. The fillet radius r and the two diameters are related by the ratios r/d = 0.15 and D/d = 1.33. The shaft is made of steel, with shear modulus G = 79 GPa and tensile yield strength Sy = 414 MPa. The maximum shear stress (Tmax) is limited to 1/4 of the shear yield strength (Sys) for steel, and the angle of twist (0) between the motor and gear should not exceed 2.0°. L=1m GEAR DRIVE Determine the diameters d and D to satisfy all conditions. Give answers to the nearest integer value (in mm). Stress Concentration Factor, K 2.4 2.2- 2.0- 1.8- 1.6- 1.4- 1.2 1.0- 0 0.05 0.10 0.15 Ratio, r/d 0.20 0.25 0.30 BEARING BLOCK D/d = 1.09 D/d = 1.20 D/d = 1.33 D/d = 2.0
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