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

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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.10P: What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm,...

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