The assembly shown in the figure consists ofa brass core (diameter d1 = 0.25 in.) surrounded by asteel shell (inner diameter d2 = 0.28 in., outer diameterd3 =0.35 in.). A load P compresses the core andshell that both have a length L = 4.0 in. The moduli ofelasticity of the brass and steel are Eb =15 x106 psiand Es = 30 x106 psi, respectively.(a) What load P will compress the assembly by0.003 in.?(b) If the allowable stress in the steel is 22 ksi and theallowable stress in the brass is 16 ksi, what is theallowable compressive load Pallow? (Suggestion:Use the equations derived in Example 2-8.) PSteel shellBrass core-d3-

Given Data The diameter of the brass core is: d1=0.25 in The inner diameter is: d2=0.28 in The…

Answered: P Steel shell Brass core -d3-

Engineering

Mechanical Engineering

P Steel shell Brass core -d3-

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter37: Air Distribution And Balance

Section: Chapter Questions

Problem 12RQ: Name four materials used to manufacture duct.

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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

The assembly shown in the figure consists of
a brass core (diameter d₁ = 0.25 in.) surrounded by a
steel shell (inner diameter d₂ = 0.28 in., outer diameter
d₃ =0.35 in.). A load P compresses the core and
shell that both have a length L = 4.0 in. The moduli of
elasticity of the brass and steel are Eb =15 x10⁶ psi
and E_s = 30 x10⁶ psi, respectively.

(a) What load P will compress the assembly by
0.003 in.?
(b) If the allowable stress in the steel is 22 ksi and the
allowable stress in the brass is 16 ksi, what is the
allowable compressive load P_allow? (Suggestion:
Use the equations derived in Example 2-8.)

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