Modulus of Elasticity

University:
Princeton University
Course:
PHY 103 | General Physics I
Academic year:

2023
Views:

366

Pages:

7
Author:

abdulsalam23745

Modulus ofclasticityIt is the ratio of stressto the strain.X modulus of elasticityhas same unit and cli-mension as that of stressunit = N/m2Dimension = [ML'T2]E depenas on naturalof material and temp-crature. x6 doesn't depends on oli-Y/ F/Amension.01/1ali) young's modulusY= F/A01=21of elasticity1 - 1Ratio of longitudinal= l/sstress tothe longitu- when length is doubledolinal strain.Y=stress.Y= Fyoung's modulusAof wire;DlPY= FllADlY= FlY= mglw=mgfalledAAl=Fscreater the youngs mo-Elongation of wire (Ad)clusus of elasticity, mat-crial is more clastic.of = mgly Tir2young's modulus of el-samearticity is only for so-if force and materi-lias.asis same ,then along-*Steel is more epastic th- ation'Al' is equal toan rubber.Al & &rir2% is for perfectly et-gidasticbody is infinite,Elongation of wire dueNOTEto it's own weight:-when lengthis dou-lbled,1/2 y= Fl = mgDAAl 2A01N/ PAlgl2ADIy= pgl20101 = Pgl22Y ii) Balk modulus ofelasticityandnooningBulk stressB =volumetric strain) It is the ratio of bulk St-ress to the volumenic St-rain.F/A-AvV= - FVB= -PVAAVDVN/m'Butk modulus ofsolids, liquids, gasesBs >Bs > Bgperfect rigid bodyB=00compressibility (c)= Reciproral of elasticityC= I = DVBPVmy/ = N in2'g > ' I >lsFractional change inracius of sphereV=4Tir73DV3ArVo 1. DV= Dr3r1/3 AV = DrIVrB = PV- DVB = P-DVVAv=PVBIDV/P.2BIP=or3 BP=mgrA1 mg=Dr3AB$20dRigidity modulus ofelasticityDx(ci)l(n)5 = shecring stressshearing strainG= F/AAE0 C = FAOG= F/Aonyl* solids only;KYa = FlA Ax11