Solved Problems for Solid Mechanics | MAE 314, Assignments of Applied Solid Mechanics

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Prob, 4.3-3 The tubular shaft in Fig. P43-3 has an outside diameter d, = 60 mm and an inside diameter d, = 40 mm. ‘The maximum shear stress in the shaft is Zax = 90 MPa. (a) Sketch the shear-stress distribution on an arbitrary cross section, indicating the values of the maximum and minimum shear stresses. (b) By integrating over the cross section (Eq. 4.2), determine the value of the torque 7. (c) Use the torsion P4.3-3 and P4.3-4 formula to determine T. Tmax occurs at ine outeraurface (at ¢= 42), while Tmin Oceurs at the Inner aurace (at f= V2) Y | 2 _ (f) ) Tip) ~ Mae Trnace | Kt Timex 40 MRA ‘Sh EXT | Tmin™ (By Tnx = (Om) top ~ bo bia. “Traax Tmax = AO MPa. | Tmin = LoMPa. b) eat i is ttmnex (2 , Tebetaa “{t ie Vinex pla = a 2 de > ae [6)'- (4) 4! 4 = Wee | (began _ (Aon) *] ase } T= Bob kNem eee ae dey {diya Tap) EF 1,- We) 2") \ fede aa To Ee Fins GY) - (rmleoranall) [ey (2p] = J.0le3| kN- m1