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

Computer integrated manufacturing, methods involved in grouping the parts i...

methods involved in grouping the parts into families?

Represent moment graphically - mechanics, Represent moment Graphically: ...

Represent moment Graphically: How you represent moment Graphically? Sol.: Consider force F which is represented in magnitude and direction, by   line AB . L

Explain external pressure design, Q. Explain External Pressure Design? ...

Q. Explain External Pressure Design? Determine requirements for external pressure based on the expected operation of the vessel, and add a suitable operating margin to establis

What is hot extrusion, Q. What is Hot extrusion? Hot extrusion is a hot...

Q. What is Hot extrusion? Hot extrusion is a hot working process, which means it is done above the material's recrystallization temperature to keep the material from work harde

Determine reactions at supports of loaded beam, Determine reactions at supp...

Determine reactions at supports of loaded beam: Determine reactions at supports A and B of loaded beam as shown in the figure given below.     Sol.: First co

Platforms - planning of railway stations, Platforms: Platforms are pl...

Platforms: Platforms are places where trains stop and passengers entrain and detrain. For BG operations, the length of the platform should be about 30 m. Figure gives the

Determine the velocity in a moving frame of reference, Determine the veloci...

Determine the velocity in a Moving Frame of Reference: As illustrated in Figure, a ship A moves with a velocity v A = 40 km/hour whereas ship B moves with a velocity of v B

Calculate the Induction Motor Efficiency, A three phase squirrel cage induc...

A three phase squirrel cage induction motor has the nameplate data shown in Table I below  Table I : Induction Motor Nameplate Data. a)  Calculate the induction motor ef

Describe about carbon steel, Q. Describe about Carbon Steel? Steel havi...

Q. Describe about Carbon Steel? Steel having no specified minimum quantity for any alloying element (other than commonly accepted amounts of manganese, silicon, and copper) and

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