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Time left 50:07:12 Hide A circular shaft has a diameter D-40 mm and a length L = 1.5 m and is made of structural steel with elastic perfectly plastic behavior (G 77.5 GPa and Tу 130 MPa). The shaft fixed at one end and subjected to a torque T at the other end. The angle of twist is measured between the ends as p = 0.2 rad. a) Calculate the yield shear strain yy. 0.0016774 rad b) Calculate the maximum shear strain ymax. 0.002667 rad c) Determine the radius py to the elastic- plastic boundary. 12.5806 mm d) Determine the torque T. If the member has yielded and then unloaded. 2.0426 kN.m e) Determine the residual shear stress at p=5 mm. 0.001667 rad 0.002 rad 0.0015 rad 0.00225 rad 0.001333 rad 0.004 rad 0.002 rad 0.02667 rad 12.5026 mm 12.5026 mm 8.3351 mm 16.6701 mm 15 mm 11.25 mm 16.875 mm 2.5171 kN.m 0.17138 kN.m 2.6323 KN.m 2.2927 kN.m 2.3981 kN.m 1.9212 kN.m 2.563 KN.m 106.6667 MPa 86.6667 MPa 53.33 MPa 80 MPa 120 MPa

Time left 50:07:12 Hide A circular shaft has a diameter D-40 mm and a length L = 1.5 m and is made of structural steel with elastic perfectly plastic behavior (G 77.5 GPa and Tу 130 MPa). The shaft fixed at one end and subjected to a torque T at the other end. The angle of twist is measured between the ends as p = 0.2 rad. a) Calculate the yield shear strain yy. 0.0016774 rad b) Calculate the maximum shear strain ymax. 0.002667 rad c) Determine the radius py to the elastic- plastic boundary. 12.5806 mm d) Determine the torque T. If the member has yielded and then unloaded. 2.0426 kN.m e) Determine the residual shear stress at p=5 mm. 0.001667 rad 0.002 rad 0.0015 rad 0.00225 rad 0.001333 rad 0.004 rad 0.002 rad 0.02667 rad 12.5026 mm 12.5026 mm 8.3351 mm 16.6701 mm 15 mm 11.25 mm 16.875 mm 2.5171 kN.m 0.17138 kN.m 2.6323 KN.m 2.2927 kN.m 2.3981 kN.m 1.9212 kN.m 2.563 KN.m 106.6667 MPa 86.6667 MPa 53.33 MPa 80 MPa 120 MPa

Mechanics of Materials (MindTap Course List)
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 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...
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Time left 50:07:12 Hide A circular shaft has a diameter D-40 mm and a length L = 1.5 m and is made of structural steel with elastic perfectly plastic behavior (G 77.5 GPa and Tу 130 MPa). The shaft fixed at one end and subjected to a torque T at the other end. The angle of twist is measured between the ends as p = 0.2 rad. a) Calculate the yield shear strain yy. 0.0016774 rad b) Calculate the maximum shear strain ymax. 0.002667 rad c) Determine the radius py to the elastic- plastic boundary. 12.5806 mm d) Determine the torque T. If the member has yielded and then unloaded. 2.0426 kN.m e) Determine the residual shear stress at p=5 mm. 0.001667 rad 0.002 rad 0.0015 rad 0.00225 rad 0.001333 rad 0.004 rad 0.002 rad 0.02667 rad 12.5026 mm 12.5026 mm 8.3351 mm 16.6701 mm 15 mm 11.25 mm 16.875 mm 2.5171 kN.m 0.17138 kN.m 2.6323 KN.m 2.2927 kN.m 2.3981 kN.m 1.9212 kN.m 2.563 KN.m 106.6667 MPa 86.6667 MPa 53.33 MPa 80 MPa 120 MPa
Transcribed Image Text:Time left 50:07:12 Hide A circular shaft has a diameter D-40 mm and a length L = 1.5 m and is made of structural steel with elastic perfectly plastic behavior (G 77.5 GPa and Tу 130 MPa). The shaft fixed at one end and subjected to a torque T at the other end. The angle of twist is measured between the ends as p = 0.2 rad. a) Calculate the yield shear strain yy. 0.0016774 rad b) Calculate the maximum shear strain ymax. 0.002667 rad c) Determine the radius py to the elastic- plastic boundary. 12.5806 mm d) Determine the torque T. If the member has yielded and then unloaded. 2.0426 kN.m e) Determine the residual shear stress at p=5 mm. 0.001667 rad 0.002 rad 0.0015 rad 0.00225 rad 0.001333 rad 0.004 rad 0.002 rad 0.02667 rad 12.5026 mm 12.5026 mm 8.3351 mm 16.6701 mm 15 mm 11.25 mm 16.875 mm 2.5171 kN.m 0.17138 kN.m 2.6323 KN.m 2.2927 kN.m 2.3981 kN.m 1.9212 kN.m 2.563 KN.m 106.6667 MPa 86.6667 MPa 53.33 MPa 80 MPa 120 MPa
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