A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. Axail loads are applied at the positions indicated. Find the largest value of P that not exceed an overall deformation of 0.1 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembley is suitablly barced to prevent buckling. Use E = 200 GPa for steel, E-83 GPa for bronze, and E= 70 GPa for aluminum. Steel A = 480 mm² Bronze A = 650 mm² Aluminum A = 320 mm² 3P 4P 2P 1.0 m 1.5 m P = 12.8 KN O P = 6.8 KN O P = 1.4 KN O P = 0.4 KN O 2.0 m

A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. Axail loads are applied at the positions indicated. Find the largest value of P that not exceed an overall deformation of 0.1 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembley is suitablly barced to prevent buckling. Use E = 200 GPa for steel, E-83 GPa for bronze, and E= 70 GPa for aluminum. Steel A = 480 mm² Bronze A = 650 mm² Aluminum A = 320 mm² 3P 4P 2P 1.0 m 1.5 m P = 12.8 KN O P = 6.8 KN O P = 1.4 KN O P = 0.4 KN O 2.0 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.2P: A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN...

See similar textbooks

Similar questions

A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.
Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.
A solid bar of circular cross section (diameter d) has a hole of diameter d/5 drilled laterally through the center of the bar (sec figure). The allowable average tensile stress on the net cross section of the bar is s allow. (a) Obtain a formula for the allowable load P allowthat the bar can carry in tension. (b) calculate the value of P allowif the bar is made of brass with a diameter d = 1.75 in. and s allow= 12 ksi. Hint: Use the formulas of Case 15. Appendix E.
A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN (see figure part a). Use a factor of safety of 1.8 against yielding. (a) If the thickness t of the pipe is one-eighth of its outer diameter, what is the minimum required outer diameter dmin? (b) Repeat part (a) if the tube has a hole of diameter dt 10 drilled through the entire tube, as shown in the figure part b.
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. Axail loads are applied at the positions indicated. Find the largest value of P that not exceed an overall deformation of 0.1 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembley is suitablly barced to prevent buckling. Use E = 200 GPa for steel, E=83 GPa for bronze, and E= 70 GPa for aluminum. Steel A= 480 mm² Bronze A = 650 mm² Aluminum A = 320 mm² 3P 4P 2P 1.0 m 1.5 m P = 12.8 KNO P = 6.8 KN P = 1.4 KN P = 0.4 KN 2.0 m
A mild steel rod of 25 mm diameter and 400 m long is encased centrally inside a hollow coppertube of external diameter 35 mm and inside diameter 30 mm. The ends of the rod and tube arerigidly attached, and the composite bar is subjected to an axial pull of 40 kN. If E for steel andcooper is 200 GN/m2 and 100 GN/m2 respectively, find the stress developed in the rod and thetube. Find also the extension of the rod.
Answer the ff correctly. The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of the rectangular bar is 70 mm and its thickness is 15 mm. The bearing stress in the bar cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported based solely on consideration of the bearing stress in the bar. Note: This question is not asking about any stresses in the support bracket...just bearing stress in the rectangular bar.
1. A bronze bar is fastened between a steel bar and an aluminum bar as shown. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use EsT=200GPA, EAL = 70 GPa, and EBr = 83 GPa. As = 480 mm? Ab=650 mm? Al= 320 mm? 2P 4P 3P 1m 2m 1.5m