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

Stress relaxation is creep related phenomenon, Stress relaxation is creep r...

Stress relaxation is creep related phenomenon: Problem: What is stress relaxation? Give example. Solution Stress relaxation is creep related phenomenon. It is los

Actual vapour compression cycle, diffrence between actual and idealactual v...

diffrence between actual and idealactual vapour compression cycle

Belt drive, what is the equation which gives the relationship between the m...

what is the equation which gives the relationship between the maximum tension in the belt T1 and the centrifugal tension Tc if maximum power transmitted?

Reactions at grouted end of cantilever beam, Reactions at grouted end of ca...

Reactions at grouted end of cantilever beam: Q: Find reactions at grouted end of cantilever beam shown in figure given below     Draw free body diagram of the beam

Find the required plastic moment of resistance, For the collapse loads indi...

For the collapse loads indicated in Figure Q3, find the required plastic moment of resistance (M p ). The frame members have varying plastic moments of resistance as indi

Classification based on mode of welding, Classification Based on Mode of We...

Classification Based on Mode of Welding Manual welding: In this welding the entire welding operation is performed and controlled by hand. Here, there are two movements involv

Manufacturing, #draw a net sketch of the geometry of a single point tool.

#draw a net sketch of the geometry of a single point tool.

Newton law of motion - third law, Newton law of motion - Thir d Law F...

Newton law of motion - Thir d Law Force of action and reaction between the bodies which are interacting are equal in magnitude, opposite in direction and have same line of ac

Objectives-plastics-reinforced plastics and adhesives, Objectives Afte...

Objectives After studying this section, you should be capable to: define basic nature of plastics, differentiate between various types of plastics, define polym

Computer aided analysis, This components extensively used teh specialized ...

This components extensively used teh specialized and / or general purpose software. Often it may development for typical application and to perform calculations in the design

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