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).

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

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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