A compound shaft consists of a titanium alloy [G= 6,200 ksi] tube (1) and a solid stainless steel [G= 11,500 ksi] shaft (2). Tube (1) has a length of L₁ = 38 in., an outside diameter of D₁ = 2.25 in., and a wall thickness of t₁ = 0.130 in. Shaft (2) has a length of L₂ = 66 in. and a diameter of d₂ = 1.35 in. If an external torque of Tg = 660 lb-ft acts at pulley B in the direction shown, calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. B TR X Tc (2) L2

A compound shaft consists of a titanium alloy [G= 6,200 ksi] tube (1) and a solid stainless steel [G= 11,500 ksi] shaft (2). Tube (1) has a length of L₁ = 38 in., an outside diameter of D₁ = 2.25 in., and a wall thickness of t₁ = 0.130 in. Shaft (2) has a length of L₂ = 66 in. and a diameter of d₂ = 1.35 in. If an external torque of Tg = 660 lb-ft acts at pulley B in the direction shown, calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. B TR X Tc (2) L2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment…

Q: Knowing that a 0.02in gap exists when the temperature is 75°F, determine (a) the temperature at…

A: The normal stress is σx=-11 ksi. Calculate the axial force as follows. P=-σxA=-11×2.8=-30.8 kips The…

Q: The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment…

Q: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Fig. P-108.…

A: To find out Maximum value of P so that stresses should not be cossing their limits.

Q: The final temperature

Q: Strain, Deformation and Thermal Stress Steel Rod A = 600 mm L=4.0 m E= 200 GPa a = 11.70 um/(m°C)…

A: Given- Aluminum Rod Area=900mm2 Length=3.0m Modulus of elasticity =70Gpa Coefficient of thermal…

Q: A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel…

A: Free body diagram:- For tube 1 G=6200 ksiL1=44 inD1=2.15 int1=0.130 inFor tube 2G=11500 ksiL2=68…

Q: In the figure shown below, determine: 1) The final temperature if the normal stress at aluminium is…

Q: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c)…

A: ###Determination of Normal Stress and Strain ###

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of…

Q: The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment…

A: Outer diameter of aluminum shaft, Wall thickness of aluminum shaft, Outer diameter of steel shaft,…

Q: At an axial load of 22 kN, a 15-mm-thick x 35-mm-wide polyimide polymer bar elongates 4.2 mm while…

Q: At an axial load of 22 kN, a 15-mm-thick x 45-mm-wide polyimide polymer bar elongates 3.9 mm while…

A: Axial load (P) = 22 KN Cross section of bar = 15mm thick × 45mm wide Elongation in bar along axial…

Q: A steel bar is placed between two copper bars, each having the same area and length as steel bar at…

A: This question is related to the Strength of Material.

Q: The aluminum shell is fully bonded to the brass core, and the assembly is unstressed at a…

Q: The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment…

Q: An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall in.…

A: Given data- An aluminium tube with hexagonal cross section Length (L) = 2.5 ft Constant Wall…

Q: A steel pipe with a 50 mm outside diameter and a 43.75 mm inside diameter surrounds a solid brass…

A: Given:- D=50mmd=43.75mmT=270CE=200 GN/m2α=11.7 ×10-6 1/0CE=93.33GN/m2To find:-a) Stress in steel

Q: 2.58 Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature…

Q: A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel…

Q: at pulley C so that the rotation angle of pulley C relative to A is zero.

Q: -gment (1) is a tube with an outside diameter of D- ear modulus of G₁ = 4,000 ksi. Steel segment (2)…

Q: A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000…

A: For the given polymer cylinder

Q: At an axial load of 22 kN, a 15-mm-thick x 45-mm-wide polyimide polymer bar elongates 4.0 mm while…

Q: A compound shaft consists of a titanium alloy [G= 6,200 ksi] tube (1) and a solid stainless steel…

Q: B ТВ X A Tc (2) (1) L2 L₁ Z

Q: The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment…

Q: At room temperature (10 C) °a 0.25-mm gap exists between the ends of the rods shown. At a later time…

A: It is required to find normal stresses in each rod due to temperature rise of 120°C

Q: In the figure shown below, determine: 1) The final temperature if the normal stress at aluminium is…

Q: A compound shaft as shown in the figure consists of an aluminum alloy [G = 26 GPa] tube (1) and a…

A: Objective: To determine the torque to be applied at pulley C, such that the angle of rotation of C…

Q: A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000…

Q: A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of…

Q: At room temperature (20°C) a 0.7-mm gap exists between the ends of the rods shown. At a later time…

Q: A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel…

Q: Question 2) Knowing that a 0.02-in. gap exists when the temperature is 75 °F, determine (a) the…

A: Given : To Find :

Q: The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment…

A: Given Data External diameter of shaft-1 (D1) = 3.8 in. External diameter of shaft-2 (D2) = 1.6 in.…

Concept explainers

Pressure and Stress

Question

A compound shaft consists of a titanium alloy [G= 6,200 ksi] tube (1) and a solid stainless steel [G= 11,500 ksi] shaft (2). Tube (1) has a
length of L₁ = 38 in., an outside diameter of D₁ = 2.25 in., and a wall thickness of t₁ = 0.130 in. Shaft (2) has a length of L₂ = 66 in. and a
diameter of d₂ = 1.35 in. If an external torque of Tg = 660 lb-ft acts at pulley B in the direction shown, calculate the torque Terequired at
pulley C so that the rotation angle of pulley C relative to A is zero.
B
TB
X
Tc
(2)
(1)
112
L₁
N

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel [G = 11,500 ksi] shaft (2). Tube (1) has a length of L1 = 40 in., an outside diameter of D1 = 2.05 in., and a wall thickness of t1 = 0.120 in. Shaft (2) has a length of L2 = 54 in. and a diameter of d2 = 1.05 in. If an external torque of TB = 580 lb·ft acts at pulley B in the direction shown, calculate the torque TC required at pulley C so that the rotation angle of pulley C relative to A is zero.
A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel [G= 11,500 ksi] shaft (2). Tube (1) has a length of L₁ = 42 in., an outside diameter of D₁ = 2.25 in., and a wall thickness of t₁ = 0.145 in. Shaft (2) has a length of L₂ = 52 in. and a diameter of d₂ = 1.45 in. If an external torque of Tg = 640 lb-ft acts at pulley B in the direction shown, calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. X Answer: Tc= B TB Tc (2) (1) L2 L₁ lb-ft+ N
A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel [G = 11,500 ksi] shaft (2). Tube (1) has a length of L1 = 36 in., an outside diameter of D1 = 2.55 in., and a wall thickness of t1 = 0.160 in. Shaft (2) has a length of L2 = 62 in. and a diameter of d2 = 1.25 in. If an external torque of TB = 660 lb·ft acts at pulley B in the direction shown, calculate the torque TC required at pulley C so that the rotation angle of pulley C relative to A is zero.
A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel [G= 11,500 ksi] shaft (2). Tube (1) has a length of L₁ = 48 in., an outside diameter of D₁ = 2.35 in., and a wall thickness of t₁ = 0.160 in. Shaft (2) has a length of L2 = 56 in. and a diameter of d₂ = 1.25 in. If an external torque of TB = 640 lb-ft acts at pulley B in the direction shown, calculate the torque Tc required at pulley C so that the rotation angle of pulley C relative to A is zero. x Answer: Tc= C B TB Tc (2) (1) L2 L₁ lb-ft+ N
A compound shaft consists of a titanium alloy [G = 6,200 ksi] tube (1) and a solid stainless steel [G = 11,500 ksi] shaft (2). Tube (1) has a length of L1 = 50 in., an outside diameter of D1 = 2.55 in., and a wall thickness of t1 = 0.160 in. Shaft (2) has a length of L2 = 52 in. and a diameter of d2 = 1.35 in. If an external torque of TB = 520 lb·ft acts at pulley B in the direction shown, calculate the torque TC required at pulley C so that the rotation angle of pulley C relative to A is zero.
The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment (1) is a tube with an outside diameter of Dy = 3.95 in., a wall thickness of t1 = 0.25 in., and a shear modulus of G1 = 4,000 ksi. Steel segment (2) is a tube with an outside diameter of D2 = 2.15 in., a wall thickness of t2 = 0.125 in., and a shear modulus of G2 = 12,000 ksi. The compound shaft is subjected to torques applied at B and C as shown. Determine the rotation angle of C with respect to the support at A.
The aluminum shell is fully bonded to the brass core, and the assembly is unstressed at a temperature of 78°F. The temperature of the assembly reaches 210°F. Consider only axial deformations. 1 in. Brass core E = 15 x 10° psi a = 11.6 x 10-°F Aluminum shell E = 10.6 x 10° psi a = 12.9 x 10-%°F -2.5 in.- Determine the stress in the brass core. The stress in the brass core is |ksi.
Determine stress value
The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment (1) is a tube with an outside diameter of D₁ = 3.65 in., a wall thickness of t₁ = 0.25 in., and a shear modulus of G₁ = 4,000 ksi. Steel segment (2) is a tube with an outside diameter of D₂ = 2.15 in., a wall thickness of t2 = 0.125 in., and a shear modulus of G₂ = 12,000 ksi. The compound shaft is subjected to torques applied at B and C as shown. Determine the rotation angle of C with respect to the support at A. (1) 9 ft O-0.0182 rad O-0.0124 rad -0.0133 rad O-0.0156 rad 1,700 lb-ft B (2) 6 ft 650 lb-ft X
2.58 Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -11 ksi, (b) the corresponding exact length of the aluminum bar. 0.02 in. -14 in. 18 in. Aluminum A = 2.8 in² Bronze A = 2.4 in² E = 15 × 10º psi a = 12 x 10-6/°F E = 10.6 × 106 psi α = 12.9 x 10-6/°F Fig. P2.58 and P2.59
A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 265 mm, a wall thickness of 11 mm, and a length of 4.6 m. The pipe supports a compressive load of 640 kN. After the temperature of the pipe drops 35°C, determine:(a) the axial deformation of the pipe.(b) the change in diameter of the pipe.
Strain, Deformation and Thermal Stress Steel Rod A = 600 mm? L= 4.0 m E= 200 GPa Aluminum Rod A = 900 mm? a = 11.70 um/(m°C) L= 3.0 m E = 70 GPa %3D 2. Determine the stress in a = 23 um/(m°C) the aluminum rod if the 3 m 3 m 3 m temperature of steel is increased by 40 degrees A D Celsius at the same time the 50 KN load is applied to the beam. F = 50 KN Strain, Deformation and Thermal Stress · 600 KN The 600 KN load is horizontal when it is first 1.00 m applied to the columns. After some time, the 600 KN load is still horizontal after deformation took place for all the columns. If the diameter of all the columns is 50 mm. Modulus of elasticity of steel is 200 GPa and modulus of elasticity of bronze is 100 GPa. Compute the strain of the steel. 0.25 m Bronze Steel Bronze