Question 4fixed. The shear modulus G and the polar moment of inertia I, of the bar's cross-sectionare constant along the bar's axis. From the fixed left end (x = 0) of the bar to the middle(x = L/2) of the bar, a lincarly varying distributed torque t, = kr, 0 < x < L/2 is applied(the unit of t, is N-m/m). At the free end (r = L) of the bar, a concentrated torque Tis applied (the unit of T is N-m). According to the right-hand rule, the linearly varyingdistributed torque t, and the concentrated torque T both point to the r-positive direction.Find the angle of twist at the free end (x = L) (Expressing the result with G, Ip, L, T, andk). (Hint: It is easier to find the angle of twist using & = fFigure 1 shows a bar under torsion. The left end of the bar isE.)t, = kxL/2L/2Fig. 1. The left end (r = 0) of the bar is fixed, and the right end (r = L) of the bar is applied with aconcentrated torque T. A linearly varying distributed torque t, is applied from the left end (z = 0) of thebar to the middle (z = L/2) of the bar.

Answered: Image /qna-images/answer/d93eff50-b01e-4408-a08b-98464c114d90.jpg

Answered: Question 4 fixed. The shear modulus G…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

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