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

Find out the velocity of the mass, Find out the velocity of the mass: A...

Find out the velocity of the mass: A mass of weight 29.4 Newton is subjected into a time dependent force, F(t)  = (3t 3  + 5) along x direction. Find out the velocity of the

Material science.., Briefly explain the process of age hardening in metals

Briefly explain the process of age hardening in metals

Difficulties with motion sickness, In designing rotating space stations to ...

In designing rotating space stations to give for artificial-gravity environments, one of the constraints that must be considered is motion sickness. Studies have shown that the neg

How is the cooling system useful in two wheelers?, (a) How is the cooling s...

(a) How is the cooling system useful in two wheelers? (b) Which cooling system is mainly used in two wheelers? Describe working of that cooling system. (c) Describe the worki

Relation between intensity bending moment and shear force, Relation between...

Relation between intensity bending moment and shear force: What is the relation between load intensity bending moment and shear force Consider the beam subjected to any t

Longitudinal stress in the plate section through the rivets, A steam boiler...

A steam boiler, 3 m in diameter, is made of 25 mm thick mild steel plates. The efficiency of longitudinal riveted joint is 88% and that of circumferential riveted joint is 70%. Cal

Thermodynamics, can u please explain me d concept of 2nd law of thermodynam...

can u please explain me d concept of 2nd law of thermodynamics. I am not so sure about it ??

Belt drive, how will u designate a v belt

how will u designate a v belt

Influence lines for the force, Solve the following two questions of the tru...

Solve the following two questions of the truss. Note that A and G are pin supports.  1)  Sketch the influence lines for the force in bar DG (the load is moving on the top chord

Break even analysis, Break even analysis: The costs from Shagun Palace...

Break even analysis: The costs from Shagun Palace, a continental restaurant, are shown below. Fixed costs are Rs. 50,000 per month. Break even analysis is applied as 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