Three interconnected cylindrical members are subjected to axial loads as shown below. If the allowable axial stresses are 140 MPa in the steel, 75 MPa in the brass, and 90 MPa in the aluminum, determine the required diameters of each the cylindrical bars. B Brass Aluminum D Steel 270 kN 245 kN 200 kN -225 kN 0.5 m 0.5 m 0.5 m

Three interconnected cylindrical members are subjected to axial loads as shown below. If the allowable axial stresses are 140 MPa in the steel, 75 MPa in the brass, and 90 MPa in the aluminum, determine the required diameters of each the cylindrical bars. B Brass Aluminum D Steel 270 kN 245 kN 200 kN -225 kN 0.5 m 0.5 m 0.5 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Three interconnected cylindrical members are subjected to axial loads as
shown below. If the allowable axial stresses are 140 MPa in the steel, 75 MPa
in the brass, and 90 MPa in the aluminum, determine the required diameters of
each the cylindrical bars.
B
Brass
Aluminum D
A
Steel
270 kN
245 kN
200 kN
-225 kN
0.5 m
0.5 m
0.5 m

Expert Solution

Step 1

Given:

The allowable axial stresses are:

$σ_{s} = 140 M p a σ_{b} = 75 M p a σ_{a} = 90 M p a$

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