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
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Author:Sadiku, Matthew N. O.
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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.
Transcribed Image Text: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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