Q- A solid 75-mm-diameter Aluminum [E = 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long extends through and is completely bonded to a hollow brass [G= 25 GPa] tube, as shown in Figure. Brass tube (1) has an outside diameter of 10 cm, an inside diameter of 75 mm, and a length of 0.75 m. Both the aluminum shaft and the brass tube are securely attached to the wall support at A. When the two torques shown are applied to the composite shaft, determine: (a) The maximum shear stress magnitude in brass tube (1) and Aluminum shaft segment (2) and (3). (b) The rotation angle of joint B and the rotation angle of end C.
Q- A solid 75-mm-diameter Aluminum [E = 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long extends through and is completely bonded to a hollow brass [G= 25 GPa] tube, as shown in Figure. Brass tube (1) has an outside diameter of 10 cm, an inside diameter of 75 mm, and a length of 0.75 m. Both the aluminum shaft and the brass tube are securely attached to the wall support at A. When the two torques shown are applied to the composite shaft, determine: (a) The maximum shear stress magnitude in brass tube (1) and Aluminum shaft segment (2) and (3). (b) The rotation angle of joint B and the rotation angle of end 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
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.5.11P: A circular steel rod AB? (diameter d, = 1.0 in., length L1= 3.0 Ft) has a bronze sleeve (outer...
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Step 1: Given Data
VIEWStep 2: Calculating The Polar Moment of Inertia
VIEWStep 3: Calculating The Resultant Turning Moment of the Shaft
VIEWStep 4: (a) Calculating The maximum shear stress magnitude in Section (1) ,(2) and (3)
VIEWStep 5: (b) Calculating The Rotation Angle of Joint B and The Rotation Angle of end C.
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