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

Deliberately placing column from centre in footing, Describe method of deli...

Describe method of deliberately placing column from centre in footing. The method of deliberately placing a column away from the centre of the footing so that resulting soil pr

Beam reactions, i would like to know how much it would cost to for my assig...

i would like to know how much it would cost to for my assignment without the actual graphs but the dimentions and without the assignment being converted into a word document as lon

Maximum efficiency, A jet strikes tangentially a smooth curved vane moving ...

A jet strikes tangentially a smooth curved vane moving in the similar direction as the jet, and the jet gets reversed in the direction. Prove that the maximum efficiency is slightl

Calculate the meta-centric height, a) state Newton's Law of Viscosity and a...

a) state Newton's Law of Viscosity and also define the various unit of Viscosity. Also describe how viscosity changes with temperature. b) a uniform body of size 3m long x 3m wi

Design and sketch a knuckle joint to transmit a tensile load, Give a genera...

Give a generalized definition of factor of safety. Illustrate the factors responsible for Un-certainities in design necessitating a suitable factor of safety. How is ‘factor of saf

Find the magnitude and position , Q1. A short vertical column consists of ...

Q1. A short vertical column consists of a channel section with the dimensions shown in Figure 1(a). The column (part of a system used to support a machine) carries a compressive p

CFD PHOENICS, expert with PHOENICS software experience for CFD free convect...

expert with PHOENICS software experience for CFD free convection

Chemistry, what desaster made chemistry

what desaster made chemistry

Compute the total force which shall be acting on the springs, Compute the t...

Compute the total force which shall be acting on the springs: An automobile of mass 1300 kg, travelling at a speed of 60 kmph hits a depression in the road that has a radius o

#tittle thrumo , ES 347 - Thermodynamics Project Assigned: 3/28/2013 Due: 4...

ES 347 - Thermodynamics Project Assigned: 3/28/2013 Due: 4/25/2013 Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a

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