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// Strength of Materials By G.H. Ryder
// Chapter 1
//Example 1
// To Calculate Young's Modulus, Stress at limit of proportion, the yield stress, ultimate stress, % elongation and %contraction.
clc();
//Given (from question) i.e. Initialization of variables
P=80000; //load at limit of proportionality , unit in newton(N)
D= 2; //original diameter, unit in cm
l=4; // gauge length , unit in cm
x=0.048; //extension at limit of proportionality , unit in mm
Py=85000; //Load at yield point , unit in newton (N)
Pmax=150000; //maximum or ultimate load, units in newton(N)
l1=5.56; //elongation, unit in cm
D1=1.58; //contracted diameter at neck , unit in cm
//Calculations
A=%pi*100*(D^2)/4; //Cross section area , unit in mm^2
E=(P*l*10)/(A*x); //Youngs Modulus , unit in N/(mm^2)
stress1=P/A; //Stress at limit of proportionality,unit in N/(mm^2)
stressY=Py/A; //yield stress N/(mm^2) ,unit in N/(mm^2)
stressuts=Pmax/A; //ultimate tensile stress,unit in N/(mm^2)
el=(l1-l)*100/l; //percentage elongation
co=(D^2-D1^2)*100/D^2; //percentage contraction
//Outputs
printf("Young Modulus = %.2fN/mm^2\n",E) //The answers vary due to round off error
printf("stress at limit of proportionality = %.0fN/mm^2\n",stress1)
printf("yield stress = %.0fN/mm^2\n",stressY)
printf("ultimate tensile stress = %.2fN/mm^2\n",stressuts) //The answers vary due to round off error
printf("percentage elongation = %.0f percent\n",el)
printf("percentage contraction = %.0f percent\n",co)
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