Question

At a particular point in a structural member a two dimensional stress system exists where sigma x=60N/mm^2 sigma y=-40N/mm^2 and shear stress (xy) =50N/mm^2 if young's modulus =200000N/mm^2 and poisson's ratio =0.3 calculate the direct strain in the x and y directions and the shear strain at the point.

Answer 1

#include<iostream>

using namespace std;

int main()
{
	float sigmaX=60;
	float sigmaY=-40;
	float shearStress=50;
	float YungMod=200000;
	float poisRatio=0.3;
	float dirStrainX=1/YungMod*(sigmaX-poisRatio*sigmaY);
	float dirStrainY=1/YungMod*(sigmaY-poisRatio*sigmaX);
	float G=YungMod/(2*(1+poisRatio));
	float shearStrain=shearStress/G;
	cout<<"Direct strain in the x direction is "<<dirStrainX;
	cout<<"\nDirect strain in the y direction is "<<dirStrainY;
	cout<<"\nShear strain at the point is  "<<shearStrain;
}