A 50-mm diameter cylinder is made of a brass for which the stress-strain diagram is as shown. The angle of twist is 5° in a length L = 725 mm. The three points on the nonlinear stress-strain diagram used are (0, 0), (0.0015, 55 MPa), and (0.003, 80 MPa). By fitting the polynomial T = A + By + Cy2 through these points, the following approximate relation has been obtained. T= 46.7 x 10y-6.67 × 10122 Determine the magnitude Tof torque applied to the shaft using this relation and the two equations given below. Pº Y = Ty 2π] ρ?τὰρ 7 (MPa) 100 80 ✓ 60 40 20 0.001 0.002 0.003 Y 0 d = 50 mm k The magnitude T of torque applied to the shaft is kN-m. OF

A 50-mm diameter cylinder is made of a brass for which the stress-strain diagram is as shown. The angle of twist is 5° in a length L = 725 mm. The three points on the nonlinear stress-strain diagram used are (0, 0), (0.0015, 55 MPa), and (0.003, 80 MPa). By fitting the polynomial T = A + By + Cy2 through these points, the following approximate relation has been obtained. T= 46.7 x 10y-6.67 × 10122 Determine the magnitude Tof torque applied to the shaft using this relation and the two equations given below. Pº Y = Ty 2π] ρ?τὰρ 7 (MPa) 100 80 ✓ 60 40 20 0.001 0.002 0.003 Y 0 d = 50 mm k The magnitude T of torque applied to the shaft is kN-m. OF

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

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