A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown the figure. The shaft is subject to the following conditions: τst ≤ 82 MPa, τal ≤ 50 MPa, and the angle of rotation of the free end is limited to 7°. For steel, G = 83 GPa and for aluminum, G = 28 GPa.

A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown the figure. The shaft is subject to the following conditions: τst ≤ 82 MPa, τal ≤ 50 MPa, and the angle of rotation of the free end is limited to 7°. For steel, G = 83 GPa and for aluminum, G = 28 GPa.

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 3.4.5P: A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions...

See similar textbooks

Similar questions

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 full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
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 hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see figure). What is the minimum required diameter dminif the allowable shear stress is 48 M Pa and the allowable rate of twist is 0.75º/m? (Assume that the shear modulus of elasticity is 80 G Pa.) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d/8, Compare dminvalues to corresponding values from part (a)
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
Consider a solid circular shaft A-D with varied diameter (dAB=0.6 in, d³c-0.75 in, and dcp=0.9 in). The shaft is fixed to a rigid wall at D and three external torques (TA=400 lb-in, TB=-1200 lb- in, and Tc=-500 lb-in) are applied to each gear at A, B, and D. 400 ilm 1200 lb ins 500 lb-in. بر امر امرا AB = 0.6 in. dac = 0.75 in. Woman dcp-0.9 in. Figure 3. Circular shaft with external torques a) Determine the segment of the shaft where the maximum shear stress occurs due to the external torques and plot the shear stress distribution at the cross section where the maximum shear stress occurs. b) Reconsider the structure shown above after creating a 0.3in-diameter drill hole through the entire length (from A to D) of the shaft. The diameters (dAB, dвc, and dcD) and external torques (TA, TB, and Tc) remain the same. Determine the segment of the new hollow shaft where the maximum shear stress occurs due to the external torques and plot the shear stress distribution at the cross section…
A hollow shaft has an inner diameter of 0.035m and outer diameter of 0.06m. Compute for the torqueif the shear stress is not to exceed120 MPa in N-m.
Design a hallow shaft (Diameter and length) that develops 80 kW of power while rotating at a speed of 4000 rpm. The design constrains are as under:The angle of twist not to exceed 0.200Shear stress is not to exceed 480 MN/m2The outer diameter is to be twice the inner diameter. The shaft length is to be three times the outer diameter. Modulus of rigidity = 79 GN/m2.
A alm T 1.20 m T B 1.20 m C 3 T The 60 mm diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Tallow 80 MPa. Find the corresponding angle of twist of disk A relative to disk C. Note: You will need to calculate the maximum allowable torque T first. Provide your answer for angle of twist in radians with 3 significant figures after the decimal point.