Q#4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown inFigure. Axial loads are applied at the positions indicated. The value of P is limited to 20KN in bronze, 72 KN in aluminum and 28 KN in steel. Find the area of each section thatwill not exceed a stress in steel of 280MP2, in aluminum of 180MPA, or in bronze of 200MPa.wwwwSteelAluminumBronze2PP4P2.52.01.5

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Answered: Q#4: An aluminum rod is rigidly…

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 2.5.25P: A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just...

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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.
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
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 two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
5. A bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPa, in aluminum of 90MPa or in bronze of 100MPa.
A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as floows; 48 kips tension in the x directio, 60 kips compression in the y direction, and 54 kips tension in the z direction. If v = 0.30 and E = 29 x 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15,000 ksi] rods, and a solid steel [E = 30,000 ksi] rod. The bronze rods (1) each have a diameter of 0.75 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.50 in. The normal stress in the bronze rods must be limited to 14 ksi, and the normal stress in the steel rod must be limited to 18 ksi. Determine: (a) the maximum downward load P that may be applied to the rigid bar.(b) the deflection of the rigid bar at the load determined in part (a).
The turnbuckles in the diagram shown are tightened until the compression block DB exerts a force of 12,365lb on the beam at B. Member DB is a hollow shaft with an inner diameter of 1.0 inch and outer diameter of 2 inches. Rods AD and CD each have cross-sectional areas of 1.1 square inches. Pin C has a diameter of 0.78 inch. Determine the following: a.The axial stress, in psi, in BD. b.The axial stress, in psi, in CD.c.The shearing stress, in psi, in pin C.
Find the maximum value of P that will not exceed a stress in steel of 113 MPa, in aluminum of 91 000 KPa, or in bronze of 110 MPa if the aluminum rod is rigidly attached between a steel rod and a bronze rod.
A-36 Aluminium rod shown in figure Q1a is 2.5 m long and must not stretch more than 1.5 mm when an 10.5 kN load is applied to it. Knowing that E = 75 GPa, determine (i) the smallest diameter rod which should be used, (ii) the corresponding normal stress caused by the load.
An aluminium rod is attached between a steel rod and a bronze rod as shown in Figure-3. The axial loads are applied at the positions indicated.Determine the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminium of 90 MPa, and in bronze of 100 MPa.
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 19 ksi, the normal stress in brass rod (2) must be limited to 22 ksi, and the normal stress in steel rod (3) must be limited to 13 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 7 kips, Q = 2 kips, R = 16 kips and S = 20 kips.

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