Determine the stress in composite bar, Mechanical Engineering

Assignment Help:

Determine the stress in composite bar:

How do you determine the stress in composite bar? What is Modular Ratio?
Sol.:
It becomes essential to have a compound tie or strut (column) where the two or more material elements are fastened together to prevent uneven straining. The salient features of such composite system are: System extends (or contracts) as one unit when it is subjected to tensile (or compressive) load. This implies that the deformation (extension or contraction) of every element is same.

Strain deformation per unit length of each element is same.

Total external load on system equals sum of loads carried out by different materials comprising the composite system.

Take a composite bar subjected to load P and fixed at the top as shown in the given figure. Total load is shared by two bars and as such
1321_Determine the stress in composite bar.png ...(i)
Further elongation in 2 bars are same,  that is,  δL1 = δL2 = δL3 ...(ii)

If strain in bar are equal e1 =  e2;  σ1/E1 = σ2/E2

or, σ1/ σ2 = E1/E2 (when the length is same)

This ratio E1/E2 is called as Modular ratio.

Modular Ratio: Modular ratio is ratio of moduli of elasticity of the two materials. It can be denoted by µ.
86_Determine the stress in composite bar1.png


Related Discussions:- Determine the stress in composite bar

Calculate the force - pulley, Calculate the force - pulley: A string i...

Calculate the force - pulley: A string is passing over a smooth pulley. The string supports the mass m on one side which is to be pulled up with acceleration a. calculate the

Working of burner assembly in steam generators, Q. Working of Burner Assemb...

Q. Working of Burner Assembly in steam generators? The Steam Generators shall be equipped with a packaged burner assembly consisting of a burner, combustion air fan, ductwork,

Simply supported beam, Simply Supported Beam: Simply Supported Beam: ...

Simply Supported Beam: Simply Supported Beam: The beam on which both ends are supported, either by point load or hinged or roller support.

Basic formula for maximum bending moment, Q.  W rite down the basic form...

Q.  W rite down the basic formula for maximum bending moment in some ideal cases. Sol.:   Ber m together with nature of load Maximu

What is the function of a clutch in an automobile, (a) What is the function...

(a) What is the function of a clutch in an automobile? Illustrate the principle of friction clutches with the help of neat diagrams. (b) Discuss the working and construction of

Why we need additives explain, Q. Why we need additives explain? Additi...

Q. Why we need additives explain? Additives are the materials added in small quantities to the moulding sand in order to enhance its exiting properties and to impart to it spec

Zeroth law - thermodynamics, Equalit y of Temperature: Two systems ar...

Equalit y of Temperature: Two systems are having equal temperature if there are no changes in their properties when they are kept in thermal contact with each other. Zer

Modulus of rupture, Modulus of Rupture: What is the Modulus of Ruptur...

Modulus of Rupture: What is the Modulus of Rupture? Sol.: The maximum fictitious shear stress which can be calculated by torsion formula by using the experimentally fou

Group technology, What is the basis for forming graphs in group technology

What is the basis for forming graphs in group technology

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd