A solid 2.75-in.-diameter brass [G= 5500 ksi] shaft that is 1.5 yd long extends through and is completely bonded to a hollow cold-rolled stainless steel tube as shown in the figure. Steel tube (1) [G= 8800 ksi) has an outside diameter of D₁= 4.25 in., an inside diameter of d₁= 2.75 in., and a length of L₁=1 yd. Both the brass shaft and the steel tube are securely attached to the wall support at A. Two torques Tg = 13 Kips-ft and Tc = 23 Kips-ft shown are applied to the composite shaft. B L₂ Determine the maximum shear stress magnitude in tube (1). 7.56 ksi 6.25 ksi 1.98 ksi 4.48 ksi 8.52 ksi 12.89 ksi Determine the maximum shear stress magnitude in brass shaft segment (2)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A solid 2.75-in.-diameter brass [G = 5500 ksi] shaft that is 1.5 yd long extends through and is completely bonded to a
hollow cold-rolled stainless steel tube as shown in the figure. Steel tube (1) [G=8800 ksi] has an outside diameter of D₁=
4.25 in., an inside diameter of d₁= 2.75 in., and a length of L₁= 1 yd. Both the brass shaft and the steel tube are securely
attached to the wall support at A. Two torques Tg = 13 Kips-ft and Tc = 23 Kips-ft shown are applied to the composite
shaft.
Determine the maximum shear stress magnitude in tube (1).
7.56 ksi
6.25 ksi
4.48 ksi
8.52 ksi
12.89 ksi
Determine the maximum shear stress magnitude in brass shaft segment (2).
51.1 ksi
118.8 ksi
125.9 ksi
67.6 ksi
1.98 ksi
3.45 ksi
2.89 ksi
0.23 ksi
2.53 ksi
Determine the maximum shear stress magnitude in brass shaft segment (3)
76.6 ksi
Determine the rotation angle of joint B
B
-0.0164 rad
-0.0126 rad
-0.0224 rad
-0.0325 rad
-0.0068 rad
Determine the rotation angle of joint C
L₂
-0.0234 rad
-0.0404 rad
-0.1773 rad
-0.0994 rad
-0.1487 rad
Transcribed Image Text:A solid 2.75-in.-diameter brass [G = 5500 ksi] shaft that is 1.5 yd long extends through and is completely bonded to a hollow cold-rolled stainless steel tube as shown in the figure. Steel tube (1) [G=8800 ksi] has an outside diameter of D₁= 4.25 in., an inside diameter of d₁= 2.75 in., and a length of L₁= 1 yd. Both the brass shaft and the steel tube are securely attached to the wall support at A. Two torques Tg = 13 Kips-ft and Tc = 23 Kips-ft shown are applied to the composite shaft. Determine the maximum shear stress magnitude in tube (1). 7.56 ksi 6.25 ksi 4.48 ksi 8.52 ksi 12.89 ksi Determine the maximum shear stress magnitude in brass shaft segment (2). 51.1 ksi 118.8 ksi 125.9 ksi 67.6 ksi 1.98 ksi 3.45 ksi 2.89 ksi 0.23 ksi 2.53 ksi Determine the maximum shear stress magnitude in brass shaft segment (3) 76.6 ksi Determine the rotation angle of joint B B -0.0164 rad -0.0126 rad -0.0224 rad -0.0325 rad -0.0068 rad Determine the rotation angle of joint C L₂ -0.0234 rad -0.0404 rad -0.1773 rad -0.0994 rad -0.1487 rad
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