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

Explain process of casting and modeling, Explain desirable properties of mo...

Explain desirable properties of modeling and differentiate between the process of casting and modeling. Also highlight the advantages and disadvantages of casting process and model

Uniformly varying load - support reaction, Uniformly Varying Load - support...

Uniformly Varying Load - support reaction: Uniformly Varying Load: In the diagram load varying from Point A to point C. The intensity of it is zero at A and 900N/M at C. Her

Show the vessel supports, Q. Show the Vessel Supports? Approved materia...

Q. Show the Vessel Supports? Approved materials and allowable stresses, shall be used for vessels and their supports. For structural shape support members in compression, wh

Functional areas of geometric modeling, Q. Functional areas of geometric mo...

Q. Functional areas of geometric modeling? Drafting • Automatic planar cross-sectioning. • Automatic hidden lines and surface removal. • Automatic production of s

Fermenter, The features of a typical fermenter (as shown below) are enginee...

The features of a typical fermenter (as shown below) are engineered to enable efficient culture of microbial, mammalian or insect cells and  facilitate  ease  of operation for the

Monte Calro for aerodynamic load simulation.., I have experimental results ...

I have experimental results for a 2D model and a matlab script that computes the aerodynamic loads on that 2D model.When we compare experiment with the theory I have noted that the

Balancing of several masses rotating in different planes, The crank shaft o...

The crank shaft of a high speed pump has a parallel shaft of 2.5 cm diameter and 48 cm in length. It carries three eccentrics each of 6 cm in diameter and uniform thickness of 1.8

Maximum Shear Stress theory , A steel plate with dimension shown in sketch ...

A steel plate with dimension shown in sketch (a) below is subjected to P = 150 kN tensile force and M= 300 N-m bending moment. The plate is made of AISI 1080 steel. A hole is to be

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