Q2 A stepped shaft ACB shown in Figure Q2 having solid circular cross sections with two different diameters is held against rotation at the ends. The parameter of X and Y are given in Table Q2. (i) By drawing the free-body diagram of the shaft, write the equation of moment equilibrium and the compatibility equation for the shaft. (ii) Using the torque-displacement relation, p = (TL) (JG), solve the reactive torques, TT, in terms of torque To. (iii) If the allowable shear stress in the shaft is allow=43MPa, calculate the allowable torque To based upon shear stress in segment AC. (iv) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment CB. (v) By comparing the result in (iii) and (iv), what is the maximum torque (To)max that may be applied at section C.

Q2 A stepped shaft ACB shown in Figure Q2 having solid circular cross sections with two different diameters is held against rotation at the ends. The parameter of X and Y are given in Table Q2. (i) By drawing the free-body diagram of the shaft, write the equation of moment equilibrium and the compatibility equation for the shaft. (ii) Using the torque-displacement relation, p = (TL) (JG), solve the reactive torques, TT, in terms of torque To. (iii) If the allowable shear stress in the shaft is allow=43MPa, calculate the allowable torque To based upon shear stress in segment AC. (iv) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment CB. (v) By comparing the result in (iii) and (iv), what is the maximum torque (To)max that may be applied at section C.

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 3.3.15P: A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner...

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