A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends being firmly fastened together, subjected to a compressive load of 30kN. Youngs modulus of elasticity of steel is 200GPa and that of copper is 120GPa. Evaluate the stress produced in the copper rod and steel tube.

A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends being firmly fastened together, subjected to a compressive load of 30kN. Youngs modulus of elasticity of steel is 200GPa and that of copper is 120GPa. Evaluate the stress produced in the copper rod and steel tube.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.7P: Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and...

See similar textbooks

Similar questions

A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
A steel pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in. Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.
If a force of 300 kN is applied to the top of a circular steel bar with a diameter of 150mm and a length of 300mm, reducing the length of the reaxial direction by 0.16mm, and increasing the diameter of the cross section by 0.01mm, what is the modulus of elasticity E and poisson's ratio of the steel rod?
An axial load of 100 kN is applied to a flat bar 20 mm thick, tapering in width from 120 mm to 40 mm in a length 0f 10 m. Assuming E=200 GPa, determine the total elongation of the bar.
A cylinder head of a steam engine is held on by 14bolts. The effective diameter of the cylinder is 35cm and the steam pressure is 85N/mm².Assuming that the bolts are not initially stressed; find the size of bolts if the tensile stress is not to exceed 20N/mm²
2. A bar of thickness 15mm and having a rectangular cross-section carries a load of 120kN. Determine the minimum width of the bar to limit the stress to 200MPa. The bar, which is 1m long, extends by 2.5mm when carrying a load of 120kN. Determine the modulus of elasticity of the material of the bar.
A steel tube, 25 mm outside diameter and 12mm inside diameter, cames an axialtensile load of 40 kN. What will be the stress in the bar? What further increase in loadis possible if the stress in the bar is limited to 225 MN/m2?
To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of 0.32 m will be used. It is required that the tension in the bar does not exceed 240 MPa and the maximum elongation is 0.42 mm. What is the minimum rod diameter [m] in these conditions? (Elasticity for metallic bar take the module as 220 GPa).
To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of 0.32 m will be used. It is desirable that the tension in the bar should not exceed 240 MPa and the maximum elongation should be 0.42 mm. What is the minimum rod diameter [m] in these conditions? Calculate. (For a metallic bar, take the elastic modulus as 220 GPa).
(a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material. (b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/mo? The load can be assumed to remain constant at 100kN. (c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m2 and 1 = 0.3).
A 11-m uniform beam is hinged to a vertical wall and held horizontally by a 5.0-m cable attached to the wall 4.0 mm above the hinge. The metal of this cable has a test strength of 1.00 kN, which means that it will break if the tension in it exceeds that amount. Part A: What is the heaviest beam that the cable can support with the given configuration? Express your answer in kilonewtons. Part B: Find the horizontal component of the force the hinge exerts on the beam. Express your answer in newtons. Part C: Find the vertical component of the force the hinge exerts on the beam. Express your answer in newtons.