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

Biofluids mechanics, in fontan circulation that is represented as a circuit...

in fontan circulation that is represented as a circuit

Eccentricity-unbalance-balancing, Eccentricity : This is distance between...

Eccentricity : This is distance between the axis of rotation and CG of mass. Unbalance : This is the product of mass and eccentricity. Balancing : This is

Usage of special tool, USAGE OF SPECIAL TOOL: The common tools used in rep...

USAGE OF SPECIAL TOOL: The common tools used in repair and maintenance of motorcycles were introduced to you in previous sections. Now, we shall learn about some special tools and

Flange assembly with torque measurement, Q. Flange Assembly with Torque Mea...

Q. Flange Assembly with Torque Measurement? Select the proper bolts and gasket for the intended service. Use only new, undamaged gaskets. Lubricate the bolt threads and nut

Explain co-planar parallel force, Illustrate following key terms with suita...

Illustrate following key terms with suitable example :- (a) Co-planar parallel force. (b) Co-planar non concurrent force. (c) Non co-planar concurrent force.

Angular speed of the cylinder, Angular speed of the cylinder: A cylind...

Angular speed of the cylinder: A cylinder of mass 70 kg rotates from rest in frictionless bearing under the action of a mass of 7.0 kg carried by a rope wrapped around the cyl

Casting, causes and remedy of coldshut,misruns,shirnkage cavity,microporosi...

causes and remedy of coldshut,misruns,shirnkage cavity,microporosity,metal penetration,mismatch

What do you mean by shell and tube exchangers, Q. What do you mean by Shell...

Q. What do you mean by Shell and Tube Exchangers? Shell and tube exchanger piping shall be arranged to provide clearance overhead at both bonnet and channel ends. Piping shall

Mechanical piping material specifications, The Specifications for use on a ...

The Specifications for use on a project will be as defined in the ‘Project Execution Plan'. The specification requirements will be clarified in the Engineering Estimate or at the

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