1. Draw the diagram of internal torque applied for each cross-section of the compound shaft  4.2. Determine the maximum allowable torque T  4.3. Calculate the maximum shear stresses induced in the portion with lower shear stress and provide graphical representations of the distribution of shear stress in the steel and brass shaft cross-sections.

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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A horizontal compound shaft AC is attached to a fixed wall at the point C and two torques T and 2T applied at the points A and B, respectively as shown by Figure Q4. The portion AB of the shaft is made of steel, having a diameter of 30 mm while portion BC is made of brass with a diameter of 50 mm.

The elastic torsion moduli for steel and brass’s materials are given as 77 GPa and 37 GPa, respectively. The maximum allowable shear stress for the compound shaft is given as 150 MPa.

1. Draw the diagram of internal torque applied for each cross-section of the compound shaft 


4.2. Determine the maximum allowable torque T 


4.3. Calculate the maximum shear stresses induced in the portion with lower shear
stress and provide graphical representations of the distribution of shear stress in the steel and brass shaft cross-sections. 


4.4. Calculate the angle of twist at the point A

2T
Steel
Brass
BI
A
200 mm
100 mm
Figure Q4: A horizontal compound shaft
Transcribed Image Text:2T Steel Brass BI A 200 mm 100 mm Figure Q4: A horizontal compound shaft
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