The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sle has an outside diameter of 40 mm, an inside diameter of 25 mm, and a shear modulus of G1 = 45 GPa. The solid steel core has a diameter of 25 mm and a shear modulus of G2 = 80 GPa. Assume L = 600 mm. The composite shaft is subjected to a torque of T= N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. A T T (1) B Answers: (a) T1 = MPa T2 = MPa

The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sle has an outside diameter of 40 mm, an inside diameter of 25 mm, and a shear modulus of G1 = 45 GPa. The solid steel core has a diameter of 25 mm and a shear modulus of G2 = 80 GPa. Assume L = 600 mm. The composite shaft is subjected to a torque of T= N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. A T T (1) B Answers: (a) T1 = MPa T2 = MPa

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.2DP

See similar textbooks

Similar questions

The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.
A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.
A steel pipe of length L = 4.0 ft, outside diameter = 6.0 in., and inside diameter = 4.5 in. is compressed by an axial force P kips. The material has modulus of elasticity E = 30,000 ksi and Poisson’s ratio υ = 0.30. Determine the following quantities for the pipe: (a) the shortening, (b) the lateral strain (c) the increase in the outer diameter and the increase in the inner diameter, and (d) the increase in the wall thickness. (Where P is equal to 51kips)
A steel pipe of length L = 4.0 ft, outside diameter = 6.0 in., and inside diameter = 4.5 in. is compressed by an axial force P kips. The material has modulus of elasticity E = 30,000 ksi and Poisson’s ratio υ = 0.30. Determine the following quantities for the pipe: (a) the shortening, (b) the lateral strain (c) the increase in the outer diameter and the increase in the inner diameter, and (d) the increase in the wall thickness. where P=25 .
The composite beam shown in the figure is simply supported and carries a total uniform load of 90 kN/m on a span length of 4 m. The beam is built of a wood member having cross-sectional dimensions 150 mm x 250 mm and two steel plates of cross-sectional dimensions 50 mm × 150 mm. The moduli of elasticity are Es = 214 GPa and Ew = 11 GPa. (a) Determine the maximum stress in the steel. (Disregard the weight of the beam. Round to one decimal place.) (b) Determine the maximum stress in the wood. (Disregard the weight of the beam. Round to one decimal place.)
The composite bar is subjected to a normal force P = 7500 lb as shown in the figure. The section of the composite bar is composed of two hollow tubes and a solid steel core. Determine the axial stress developed in each bar. Use Ecu = 18 x 106 psi, Est = 30 x 106 psi, and Ebr = 16 x 106 psi.
The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions 150 mm 250 mm and two brass plates of cross-sectional dimensions 30 mm 150 mm. (a) Determine the maximum stresses B and w in the brass and wood, respectively, if the moduli of elasticity are EB 96 GPa and Ew 14 GPa. (Disregard the weight of the beam.) (b) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values, saB 70 MPa and saw 8.5 MPa, simultaneously under the maximum moment. What is the maximum moment?
1.2 A hollow steel rod has a length of 1m. The outside diameter of the rod is 0.2m and the inner diameter is 0.18m. The rod is compressed axially with a load of 200kN. The modulus of elasticity and the Poisson's ratio of the rod are 200GPa and 0.3 respectively. Determine the increase in outside diameter of rod using the calculated value of decrease in length. (The decrease in length=0.17mm)
Steel cylinder has 200 mm mean diameter with a wall 1 mm thick and 310 mm long. Determine the circumferential and longitudinal stresses that occur on the cylinder if the maximum pressure difference allowed between the inside and outside must not exceed 100 MPa. Determine the effects of three dimensional loading by determine volumetric strain and change in volume for the first steel cylinder. Modulus of elasticity E= (210 GPa), Poisson's ratio 0.30. 7
A hollow aluminum tube used is a roof structure has an outside diameter d2 and inside diameter d1. The tube is 2.5m long and the aluminum has a shear modulus of G=28 GPa. a.If the tube is twisted in pure torsion by torques acting at the ends,what is the angle of twist in degrees when the max shear stress is 50MPa? b.What diameter “d” is required for a solid shaft to resist the same torque with the same maximum stress? d1 = 90 (mm) d2 = 110 (mm)
Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?