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A hollow magnesium shaft is rigidly bonded to a solid steel shaft and rigidly mounted between two supports. A torque of 500 NA·m is applied at the junction between the two shafts. (Ignore the effect of stress concentration)
Determine:
a. What is the angle of twist where the two shafts are bonded?
b. What is the maximum shear stress in the magnesium?
c. What is the maximum shear stress in the steel?
d. (EC) What is the maximum allowable torque that can be applied?
Material Yield Strength
Steel
Yield Strenght shear (MPa) = 360Yield Strength - Shear (MPa) = 150Modulus of Elasticity (GPa) = 190Modulus of Rigidity (GPa) = 75
Magnesium
Yield Strenght shear (MPa) = 250Yield Strength - Shear (MPa) = 125Modulus of Elasticity (GPa) = 45Modulus of Rigidity (GPa) = 16
Hollow Magnesium Shaft
Length = 1 meterOuter Diameter = 160 mmInner Diameter = 80 mmSolid Steel ShaftLength = 0.6 meterDiameter = 80 mm
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