Prob. 4.6-4. As illustrated in Fig. P4.6-4, a composite shaft is made by connecting together at joint B two tubular seg- ments of the same outer diameter d. = 3 in. and inner diameter d, = 2 in. Aluminum-alloy segment AB has a shear modulus G₁ = 4 x 10³ ksi and length L₁= 30 in.: titanium segment BC has a shear modulus G₂ = 6 x 10 ksi and length L₂ = 35 in. An external torque T = 100 kipin. is applied to the shaft at joint B, and ends A and C are fixed against rotation. (a) Determine 7, and 7₂, the internal torques in segments AB and BC, respectively. (b) Determine the maxi- mum shear stress in each segment. (c) Finally, determine the maximum tensile stress in the shaft. (Hint: Recall Sec- tion 4.4.)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Prob. 4.6-4. As illustrated in Fig. P4.6-4, a composite shaft
is made by connecting together at joint B two tubular seg-
ments of the same outer diameter d. = 3 in. and inner
diameter d, = 2 in. Aluminum-alloy segment AB has a shear
modulus G₁ = 4 x 10³ ksi and length L₁ = 30 in.: titanium
segment BC has a shear modulus G₂ = 6 x 10 ksi and length
L₂ = 35 in. An external torque To= 100 kipin. is applied
to the shaft at joint B, and ends A and C are fixed against
rotation. (a) Determine 7, and 7₂, the internal torques in
segments AB and BC, respectively. (b) Determine the maxi-
mum shear stress in each segment. (c) Finally, determine
the maximum tensile stress in the shaft. (Hint: Recall Sec-
tion 4.4.)
P4.6-4
Transcribed Image Text:Prob. 4.6-4. As illustrated in Fig. P4.6-4, a composite shaft is made by connecting together at joint B two tubular seg- ments of the same outer diameter d. = 3 in. and inner diameter d, = 2 in. Aluminum-alloy segment AB has a shear modulus G₁ = 4 x 10³ ksi and length L₁ = 30 in.: titanium segment BC has a shear modulus G₂ = 6 x 10 ksi and length L₂ = 35 in. An external torque To= 100 kipin. is applied to the shaft at joint B, and ends A and C are fixed against rotation. (a) Determine 7, and 7₂, the internal torques in segments AB and BC, respectively. (b) Determine the maxi- mum shear stress in each segment. (c) Finally, determine the maximum tensile stress in the shaft. (Hint: Recall Sec- tion 4.4.) P4.6-4
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