Problem 3: A shaft is to have a semicircular grove machined around the circumference at a specified location. The shaft diameter and reduced cross-sectional diameter are known as well as the torsion that the shaft will experience and the material's yield strength. Using the stress concentration figures given the textbook as Fig. A-15-15 (p. 1046) and the equations given as Eq. 4.21, determine minimum radius of the groove (r). Using the both of the following failure criteria: (use a safety factor of n = 2) d = 0.05 m, D = 0.055 m, T = 2500 Nm, Sy = 500 MPa, n = 2 (a) Using the maximum distortional energy failure theory (b) Using the maximum shear stress failure theory 5 T D MEC₁ d r T

Elements Of Electromagnetics
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(a) Using the maximum distortional energy failure theory
(b) Using the maximum shear stress failure theory
Problem 3:
A shaft is to have a semicircular grove machined around the circumference at a specified location.
The shaft diameter and reduced cross-sectional diameter are known as well as the torsion that the
shaft will experience and the material's yield strength. Using the stress concentration figures given
the textbook as Fig. A-15-15 (p. 1046) and the equations given as Eq. 4.21, determine minimum
radius of the groove (r). Using the both of the following failure criteria: (use a safety factor of n =
2)
d = 0.05 m, D = 0.055 m, T = 2500 Nm, Sy 500 MPa, n = 2
T
OME C
H
D
T
Page
r
d
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Transcribed Image Text:(a) Using the maximum distortional energy failure theory (b) Using the maximum shear stress failure theory Problem 3: A shaft is to have a semicircular grove machined around the circumference at a specified location. The shaft diameter and reduced cross-sectional diameter are known as well as the torsion that the shaft will experience and the material's yield strength. Using the stress concentration figures given the textbook as Fig. A-15-15 (p. 1046) and the equations given as Eq. 4.21, determine minimum radius of the groove (r). Using the both of the following failure criteria: (use a safety factor of n = 2) d = 0.05 m, D = 0.055 m, T = 2500 Nm, Sy 500 MPa, n = 2 T OME C H D T Page r d 4 of
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