i. A shaft system ABCD consists of a solid bar BD and hollow bar AB is subjected to torque as shown in Figure Q1. The outer diameter of the bar ABCD is 30 mm and inner diameter of hollow bar AB is 20 mm, made of A-36 steel (G=75 GPa). The bar is fixed to the wall at D. Answer the following questions: Sketch the free body diagram and calculate the internal torque acting in each section of the shaft. ii. Determine the maximum value of torque Tif the allowable angle of twist at end 4 is 2º and the allowable maximum shear stress in the shaft is 140 MPa. iii. Determine a new outer diameter of bar BCD, if the torque, T' is 1000 Nm and the angle of twist at B relative to D is 0.016 rad. A 3T 100 mm 2T B 75 mm 6T Figure 1 C 150 mm D Rigid wall

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 3.8.7P: A stepped shaft ACE is held against rotation at ends A and B and subjected to a torque T0acting at...
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A shaft system ABCD consists of a solid bar BD and hollow bar AB is subjected to torque as
shown in Figure Q1. The outer diameter of the bar ABCD is 30 mm and inner diameter of hollow
bar AB is 20 mm, made of A-36 steel (G=75 GPa). The bar is fixed to the wall at D. Answer the
following questions:
i. Sketch the free body diagram and calculate the internal torque acting in each section of the
shaft.
ii.
iii.
Determine the maximum value of torque T'if the allowable angle of twist at end A is 2º and
the allowable maximum shear stress in the shaft is 140 MPa.
Determine a new outer diameter of bar BCD, if the torque, T' is 1000 Nm and the angle of
twist at B relative to D is 0.016 rad.
A
3T
100 mm
2T
B
75 mm
6T
Figure Q1
C
150 mm
O
Rigid wall
Transcribed Image Text:A shaft system ABCD consists of a solid bar BD and hollow bar AB is subjected to torque as shown in Figure Q1. The outer diameter of the bar ABCD is 30 mm and inner diameter of hollow bar AB is 20 mm, made of A-36 steel (G=75 GPa). The bar is fixed to the wall at D. Answer the following questions: i. Sketch the free body diagram and calculate the internal torque acting in each section of the shaft. ii. iii. Determine the maximum value of torque T'if the allowable angle of twist at end A is 2º and the allowable maximum shear stress in the shaft is 140 MPa. Determine a new outer diameter of bar BCD, if the torque, T' is 1000 Nm and the angle of twist at B relative to D is 0.016 rad. A 3T 100 mm 2T B 75 mm 6T Figure Q1 C 150 mm O Rigid wall
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