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

Determine maximum fibre stress - beam, Determine Maximum fibre stress: ...

Determine Maximum fibre stress: A beam of rectangular section of 80 mm to 120 mm carries a uniformly distributed load of 40 kN/m over a span of 2 m an axial compressive force

Calculate the length of plastic deformation, Calculate the length of plasti...

Calculate the length of plastic deformation: Calculate the length of plastic deformation along 45o in case the applied stress is 63.25% of yield stress in the plate of abov

Different types of constrained motions, (a) Illustrate with examples the di...

(a) Illustrate with examples the different types of constrained motions ? (b) Describe in detail the following Mechanism : (i) Single slider crank chain mechanism (ii) Fou

Compound stress, Compound Stress: Define Compound Stress. Sol.: ...

Compound Stress: Define Compound Stress. Sol.:   Simple stresses mean tensile stress or compressive stress or shear stress. The tensile and compressive stresses act on p

Types of electron beam welding gun, TYPES OF ELECTRON BEAM WELDING GUN ...

TYPES OF ELECTRON BEAM WELDING GUN   Diode (Cathode - anode) Gun : In this gun, the beam shaping electrode and the emitter are both at the same electrical potentials. These

Find kinematic viscosity, A pump is used to deliver discharge of 0.05 ...

A pump is used to deliver discharge of 0.05 m 3 /s from a river to a storage reservoir. The system consists of 500 m of 0.15 m cast iron pipe with a 90 o bend with a rad

Determine the maximum stress - spring , Determine the maximum stress: ...

Determine the maximum stress: A laminated spring of the quarter elliptic type, 0.6 m long, is to give a static deflection of 80 mm under an end load of 2000 N. If the leaf mat

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