Problem #1: The steel shaft is made of two segments, AC has a diameter of 12 mm and CB has a diameter of 25 mm. if it is fixed at ends A & B and subjected to a torque of 750 N.m. Determine the maximum shear stress in the shaft. Gst = 75 GPa. A 12 mm 125 mm D 750 N-m 200 mm 25 mm B 300 mm 750 N- m Equilibrium: Тл + Tв - 750 %3D0 (1) Compatibility condition: ØD/A = OD/B TA(125) + ТА(200) Тв(300) %3D F(6')G ' {12.5*)G¯ {(12.5')G 10463TĄ = 12288TB (2) Solving Eqs. (1) and (2) yields TA = 78.82 N · m Tg = 671.18 N m Tc 78.82(10°)(6) TAC = = 232.3 MPa (max) Ans. 3(6") Tc 671.18(10*)(12.5) TDB = 218.77 MPa {(12.54)

Problem #1: The steel shaft is made of two segments, AC has a diameter of 12 mm and CB has a diameter of 25 mm. if it is fixed at ends A & B and subjected to a torque of 750 N.m. Determine the maximum shear stress in the shaft. Gst = 75 GPa. A 12 mm 125 mm D 750 N-m 200 mm 25 mm B 300 mm 750 N- m Equilibrium: Тл + Tв - 750 %3D0 (1) Compatibility condition: ØD/A = OD/B TA(125) + ТА(200) Тв(300) %3D F(6')G ' {12.5)G¯ {(12.5')G 10463TĄ = 12288TB (2) Solving Eqs. (1) and (2) yields TA = 78.82 N · m Tg = 671.18 N m Tc 78.82(10°)(6) TAC = = 232.3 MPa (max) Ans. 3(6") Tc 671.18(10)(12.5) TDB = 218.77 MPa {(12.54)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.9.3P: A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is...

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