Q-1) A shaft, 2.50 m long with steel core and aluminum jacket is fixed at left end A and subjected to two counterclockwise torques T1 = 4.80 kN.m at B and T2 = 2.40 kN.m at C, as shown in the figure below. The shear moduli of the steel and aluminum are 70 GPa and 30GPA, respectively. The shaft has core diameter as 48 mm and overall diameter with jacket as 72 mm. a) Determine the absolute maximum shear stresses in the steel core and aluminum jacket. b) Determine the angle of twist at the free end of the shaft. c) If maximum allowed shear stresses for steel and aluminum are 200 MPa and 100 MPa, respectively what would be your safe choices for the core and jacket diameters %3! of the shaft? 1.50 m B 1.00 m C aluminum jacket T2 steel core unui z/

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q-1) A shaft, 2.50 m long with steel core and aluminum jacket is fixed at left end A
and subjected to two counterclockwise torques T1 = 4.80 kN.m at B and T2 = 2.40
kN.m at C, as shown in the figure below. The shear moduli of the steel and aluminum
are 70 GPa and 30GPa, respectively. The shaft has core diameter as 48 mm and overall
diameter with jacket as 72 mm.
a) Determine the absolute maximum shear stresses in the steel core and aluminum
jacket.
b) Determine the angle of twist at the free end of the shaft.
c) If maximum allowed shear stresses for steel and aluminum are 200 MPa and 100
MPa, respectively what would be your safe choices for the core and jacket diameters
of the shaft?
A
1.50 m
B 1.00 m C
aluminum jacket
T1
T2
steel core
48 mm
/2 mm
Transcribed Image Text:Q-1) A shaft, 2.50 m long with steel core and aluminum jacket is fixed at left end A and subjected to two counterclockwise torques T1 = 4.80 kN.m at B and T2 = 2.40 kN.m at C, as shown in the figure below. The shear moduli of the steel and aluminum are 70 GPa and 30GPa, respectively. The shaft has core diameter as 48 mm and overall diameter with jacket as 72 mm. a) Determine the absolute maximum shear stresses in the steel core and aluminum jacket. b) Determine the angle of twist at the free end of the shaft. c) If maximum allowed shear stresses for steel and aluminum are 200 MPa and 100 MPa, respectively what would be your safe choices for the core and jacket diameters of the shaft? A 1.50 m B 1.00 m C aluminum jacket T1 T2 steel core 48 mm /2 mm
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