The composite shaft assembly shown is composed of a bronze (G = 38 GPa) hollow shaft perfectlybonded to an aluminum (G = 26 GPa) shaft as shown below. The outer diameter of the aluminum shaft is70mm while the outer diameter of the bronze shaft is 65 mm with an inner diameter of 60mm. If theallowable shear stresses for aluminum and bronze is 85 MPa and 100 MPa, respectively.Hollow AluminmShafPerfect Bondat InterfaceHolow BroneShaft1.2mWhat is the maximum torque (T that can be applied at the end of the assembly?What is the maximum internal shear stress in the bronze section (T)?What is the maximum internal shear stress in the aluminum section (T)What is the angle of twist of end B with respect to end A (Pau }?

Note: Dear Student! As per our guidelines, we are only allowed to answer three sub-parts of a…

The composite shaft assembly shown is composed of a bronze (G = 38 GPa) hollow shaft perfectly bonded to an aluminum (G = 26 GPa) shaft as shown below. The outer diameter of the aluminum shaft is 70mm while the outer diameter of the bronze shaft is 65 mm with an inner diameter of 60mm. If the allowable shear stresses for aluminum and bronze is 85 MPa and 100 MPa, respectively. H Almim Shaft Perfect Bd a Interface H Brone Shaft 1.2m What is the maximum torque (T that can be applied at the end of the assembly? What is the maximum internal shear stress in the bronze section (T)? What is the maximum internal shear stress in the aluminum section (t)

The composite shaft assembly shown is composed of a bronze (G = 38 GPa) hollow shaft perfectly bonded to an aluminum (G = 26 GPa) shaft as shown below. The outer diameter of the aluminum shaft is 70mm while the outer diameter of the bronze shaft is 65 mm with an inner diameter of 60mm. If the allowable shear stresses for aluminum and bronze is 85 MPa and 100 MPa, respectively. H Almim Shaft Perfect Bd a Interface H Brone Shaft 1.2m What is the maximum torque (T that can be applied at the end of the assembly? What is the maximum internal shear stress in the bronze section (T)? What is the maximum internal shear stress in the aluminum section (t)

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

See similar textbooks

Similar questions

The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?
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.
The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as shown in the figure. The shaft is rated for a maximum shear stress of 4500 psi. If the shaft is turning at 100 rpm, what is the maximum horsepower that can be transmitted without exceeding the allowable stress? If the rotational speed of the shaft is doubled but the power requirements remain unchanged, what happens to the shear stress in the shaft?
What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
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.
The composite shaft shown in the figure is manufactured by shrink-Fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. The outer diameters of the two parts are dY= 40 mm for the brass core and d2= 50 mm for the steel sleeve. The shear moduli of elasticity are Gb= 36 GPa for the brass and Gs= 80 GPa for the steel. (a) Assuming that the allowable shear stresses in the brass and steel are rb= 48 MPa and ts= 80 MPa, respectively, determine the maximum permissible torque Tmax that may be applied to the shaft. (b) If the applied torque T = 2500 kN · m, find the required diameter d2so that allowable shear stress t3is reached in the steel.
Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a concentrated torque 4000 kip-in. at x = 3 ft, and a uniformly distributed torque t0= 50 kip-ft/ft is applied on pipe BC. Let G = 11,800 ksi and assume that pipes AB and BC have the same inner diameter, d = 12 in. Pipe AB has a thickness tAB= 3/4 in., and pipe BC has a thickness tBC= 5/8 in. Find the reactive torques at A and C and the maximum shear stresses in each segment.
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?