2. A hollow shaft of 30-mm inner diameter and 60-mm outer diameter is acted on by an axial tensileload of 50 kN, a torque of 500 N-m and a bending moment of 200 N-m. Determine the principal stressesand their directions.

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Answered: 2. A hollow shaft of 30-mm inner…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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3. A circular steel cylinder of external diameter 0.2 m and internal diameter 0.1 m is shrunk onto a circular aluminium alloy cylinder of external diameter 0.1 m and internal diameter 0.05 m, where the dimensions are nominal. Determine the radial and hoop stresses at the bores and outside surfaces, such that when there is an internal pressure (retained by end caps) of 300 MPa, the maximum hoop stress in the inner cylinder is 150 MPa.
Problem II. An exhaust gas piping fabricated as shown is subjected to a bending moment, an internal pressure, and a torque. In points A and B, the following stresses occur due to the loading: 0,05 and Txs 72.2 144.4 144.4 MPa A,B A,B A,B a. Determine Gmin, Omax, and its direction (in degrees) from x-axis at point A. b. Determine Omin, Omax, and its direction (in degrees) from x-axis at point B. B S A " O X
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Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends. Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of the maximum bending and torsional stresses, b) determine the maximum and minimum principal stresses, including the angle of inclination of the planes on which the principal stresses act, and c) the maximum shear stress, including the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the stress elements. Figure problem #2. 800 lbf 10 in 200 lbf 1000 lbf 10 in 200 lbf 10 in 1200 lbf 500 lbf 1600 lbf-in 10 in 100 lbf 10 in 1600 lbf-in 10 in 600 Ibf 400 lbf x 400 lbf
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1. (a) Explain briefly why a single-cylinder ('mono cylinder') may be replaced with a force-fitted compound cylinder ('duplex cylinder') with the same inner and outer diameters for a high internal pressure bearing application. (b) An alloy steel cylinder of bore radius (n) 40 mm and outer radius (R) 60 mm is subjected to an external pressure of 30 MNM2. (1) Determine the circumferential stresses generated at the bore and outer surface of the cylinder. (II) Sketch the form of distribution of radial and circumferential stresses across a radius. (c) The cylinder in (b) above is to be used as a hydraulic cylinder. For this application, it needs to be strengthened by shrink fitting onto it a sleeve of outer radius (ro) of 80 mm of the same steel as shown in Figure 1(c). The interference pressure generated due to this fit is 30 MNM2. Observe: This pressure is the same as the external pressure used in the calculations in part (b). (1) Determine the circumferential stress generated in the…
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2. A hollow shaft of 30-mm inner diameter and 60-mm outer diameter is acted on by an axial tensile load of 50 kN, a torque of 500 N-m and a bending moment of 200 N-m. Determine the principal stresses and their directions.