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

Power sources-transformer type power sources, Transformer Type Power Source...

Transformer Type Power Sources These are the simplest and cheapest type available for arc welding. These are the mainly used for SMAW, AC SAW and gouging applications. These are

Types of friction, Types of Friction There are basically two types of f...

Types of Friction There are basically two types of friction, (a) Dry Friction    ( b ) Fluid Friction Dry Friction: Dry friction (also called as coulomb friction man

Transmission system , Transmission System: In a two-wheeler, the transmiss...

Transmission System: In a two-wheeler, the transmission system means the whole arrangement that transmits the power from the engine crankshaft to the rear wheel.

Polar modulus , Pola r Modulus(Z p ):   It is the ratio of polar m...

Pola r Modulus(Z p ):   It is the ratio of polar moment of the inertia to outer radius. Z p = J / R Polar Modulus of solid body ( Z p ) =[  ?/32. D 4 ]/ D

Cantilever beam stress, Dear Engineer! I have an aluminum tube(6061) fixed...

Dear Engineer! I have an aluminum tube(6061) fixed at one end (Cantilever Beam). The length is 180” and the load on the other end is 150 lbs. Question: What size of tubes I s

Determine the ratio between moment and load, Determine the ratio between mo...

Determine the ratio between moment and load: Any close coiled helical spring of circular section extends 1 mm while subjected to an axial load of W and then given an angular r

Define stress, Define stress: Sol.: When body is acted upon by load ...

Define stress: Sol.: When body is acted upon by load or external force, it undergoes deformation (that is, change in shape or dimension) which increases gradually. At the ti

Computer aided manufacturing, Computer systems to plan manage, and control...

Computer systems to plan manage, and control the operations of a manufacturing plant through either direct or indirect computer interface with the plants production resource

What are the elements of theory of vibrations, What are the Elements of The...

What are the Elements of Theory of Vibrations All bodies possessing mass and elasticity can vibrate or undergo vibratory motion. Let us understand a few basic definitions used

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