%23An aluminum tube of outer diameter R2 = 50 mm is heated such that it is mounted over a steel shaft of radius, R, 30 mm as shown in the figure. The length I of member is 3 m.MTRRi1If a G, = 77.2 GPa, G2 = 27 GPa, and torque of MT = 76 kN.m is applied to induce twisting in the member,%3DDetermine the maximum shear stress in the tube.Select the correct response:200.676 MPa311.908 MPa175.016 MPa2]

For solution refer below images.

An aluminum tube of outer diameter R,- 50 mm is heated such that it is mounted over a steel shaft of radius, R, - 30 mm as shown in the figure The length I of member is 3 m MT R Ri If a G, - 77.2 GPa, G2 - 27 GPa, and torque of My -76 kN.m is applied to induce twisting in the member, Determine the maximum shear stress in the tube Select the correct response: O 200.676 MPa O 311.908 MPa 175.016 MPa

An aluminum tube of outer diameter R,- 50 mm is heated such that it is mounted over a steel shaft of radius, R, - 30 mm as shown in the figure The length I of member is 3 m MT R Ri If a G, - 77.2 GPa, G2 - 27 GPa, and torque of My -76 kN.m is applied to induce twisting in the member, Determine the maximum shear stress in the tube Select the correct response: O 200.676 MPa O 311.908 MPa 175.016 MPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.9.5P: A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated...

See similar textbooks

Similar questions

A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin spacers provide a separation between the bars. The copper bars have cross-sectional dimensions 0.5 in. × 2.0 in., and the aluminum bar has dimensions 1.0 in. × 2.0 in. Determine the shear stress in the 7/16-in. diameter pins if the temperature is raised by 100°F. (For copper, Et= 18,000 ksi and ac = 9.5 × 10-6/?; for aluminum, Ea= 10,000 ksi and aa= 13 × 10-6/?.) Suggestion: Use the results of Example 2-10
,5-9 A flat aluminum alloy bar is fixed at both ends. Segment AB has a slight taper. If the temperature of the bar is raised uniformly by an amount AT = 20PF, find reactions al A and C. What is the displacement at B? Assume that L = 3 ft, t = 1/4 in., b1= 2 in., b2= 2.5 in., E = 10,400 ksi, and the coefficient of thermal expansion a = 13 X l0-6/'F.
A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated torques as shown in the figure. If the outer radius of the tube is 1.5 in, and the thickness is 3/4 in., calculate the strain energy stored in the tube. Let G= 11,800 ksi.
Repeat the previous problem using sx= 12 MPa.
A thin-walled aluminum tube of rectangular cross section (sec fig me) has a centerline dimensions b = 6.0 in. and b = 4.0 in. The wall thickness t is constant and equal to 0.25 in. Determine the shear stress in the tube due to a torque T = 15 kip-in. Determine the angle of twist (in degrees) if the length L of the tube is 50 in. and the shear modulus G is 4.0 x 106 psi.
P.7.21 A short bar of copper, 25 mm in diameter, is enclosed centrally within a steel tube of external diameter 36 mm and thickness 3 mm. At 0°C the ends of the bar and tube are rigidly fastened together and the complete assembly heated to 80°C. Calculate the stress in the bar and in the tube if E for copper is 100 000 N/mm?, E for steel is 200 000 N/mm? and the coefficients of linear expansion of copper and steel are 0-000 01/°C and 0-000 006/°C, respectively. Ans. o (steel) =28-3 N/mm? (tension), o (copper) = 17-9 N/mm? (compression).
The rotating stepped shaft in the figure is produced from 85080M30 steel by machining method. It works at ambient temperature. If the force applied to the shaft is constant and given as P=10kN, calculate the diameter d for the shaft to have an infinite lifetime.(Sut=600 Mpa, f=0.9)
A prismatic bar with a length L = 1 m andcross-sectional area A = 1200mm2 is supported atthe ends. The bar is then subjected to a temperatureincrease of ΔT = 25°C. Calculate the complete state ofstress acting on an inclined section rs that is cut throughthe bar at an angle θ = 45°. Use E = 200 GPa and thecoefficient of thermal expansion α = 12 x 10 -6 / °C .
A wire in the wire drawing machine, at the entrance entranceIt will be drawn from a drawer with 15 ̊. of the wireinlet diameter (D0) 2.5 mm and outlet diameter (Df) 2.0 mmdirection. Die and wire surface transitionswindow (μ) is 0.07. Wire strength (K)It is 205 MPa and the strain hardening superposition (n) is 0.20.Pre-section of wire (A0) 4.91 mm2and sector section area (Af) 3.14 mm2direction.Accordingly, wire drawing is done;a) Regression,b) Calculate the pulling force
A copper rod with 0.15 cm diameter is enclosed by a steel tube that has an outside diameter of 0.3 cm and an internal diameter of 0.2 cm. The assembly is fixed at each end. Determine the stresses in the rod and tube if the temperature is at 220oC; at 10oC, there is no longitudinal stress. Based on laboratory results for steel, E = 2.1 x 105 N/mm2, a = 11x10-6/oC, and for copper, E = 1 x 105 N/mm2, a = 18x10-6/oC
A 1m long steel bar (E=200GPa) of 10mmx10mm dimension fixed at both ends is heated to 90°C from initially 30°C. What is the normal stress in MPa, induced in the system due to change in temperature? Use a = 12*10^-6 per °C