C. The thick wall theory also applies to wheel-shaft assemblies where a contact pressure induced on the inner side of a disc and the outer side of a shaft (named shrink-fitted assembly) would be capable of transmitting power from one component to the other. Consider a steel shaft and wheel assembly as shown in Figure 3. To transmit power through the two wheels without slippage, a contact pressure of pc = 100 MPa is required. The wheel has an outer diameter of D = 1200 mm and the nominal diameter of the shaft and the hub is d = 200 mm. The effective coefficient of friction is μ = 0.2 and the width of the wheel on its common contact surface with the shaft is w = 250 mm. Young's Modulus E = 200 GPa, Poisson's Ratio v = 0.3 and Yield stress oy = 500 MPa. Figure 3. View of wheel-shaft assembly Calculate and plot hoop and radial stress distributions in the shaft and the wheel across their thicknesses. Using both failure theories for ductile materials, estimate the factor of safety for the wheel and shaft.

C. The thick wall theory also applies to wheel-shaft assemblies where a contact pressure induced on the inner side of a disc and the outer side of a shaft (named shrink-fitted assembly) would be capable of transmitting power from one component to the other. Consider a steel shaft and wheel assembly as shown in Figure 3. To transmit power through the two wheels without slippage, a contact pressure of pc = 100 MPa is required. The wheel has an outer diameter of D = 1200 mm and the nominal diameter of the shaft and the hub is d = 200 mm. The effective coefficient of friction is μ = 0.2 and the width of the wheel on its common contact surface with the shaft is w = 250 mm. Young's Modulus E = 200 GPa, Poisson's Ratio v = 0.3 and Yield stress oy = 500 MPa. Figure 3. View of wheel-shaft assembly Calculate and plot hoop and radial stress distributions in the shaft and the wheel across their thicknesses. Using both failure theories for ductile materials, estimate the factor of safety for the wheel and shaft.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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C. The thick wall theory also applies to wheel-shaft assemblies where a contact pressure
induced on the inner side of a disc and the outer side of a shaft (named shrink-fitted assembly)
would be capable of transmitting power from one component to the other.
Consider a steel shaft and wheel assembly as shown in Figure 3. To transmit power through
the two wheels without slippage, a contact pressure of pc = 100 MPa is required. The wheel
has an outer diameter of D = 1200 mm and the nominal diameter of the shaft and the hub
is d = 200 mm. The effective coefficient of friction is us = 0.2 and the width of the wheel
on its common contact surface with the shaft is w = 250 mm.
Young's Modulus E = 200 GPa, Poisson's Ratio v = 0.3 and Yield stress oy = 500 MPa.
Figure 3. View of wheel-shaft assembly
Calculate and plot hoop and radial stress distributions in the shaft and the wheel across their
thicknesses. Using both failure theories for ductile materials, estimate the factor of safety for
the wheel and shaft.

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