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Diffstat (limited to '3772/CH8/EX8.13/Ex8_13.sce')
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diff --git a/3772/CH8/EX8.13/Ex8_13.sce b/3772/CH8/EX8.13/Ex8_13.sce new file mode 100644 index 000000000..866448121 --- /dev/null +++ b/3772/CH8/EX8.13/Ex8_13.sce @@ -0,0 +1,48 @@ +// Problem 8.13,Page no.215 + +clc;clear; +close; + +P=200 //N //Load +h=10 //cm //Height of Load dropped +n=10 //Number of turns +b_1=5 //cm //width of plates +t=6 //mm //thickness of plates +L=75 //cm //Length of plates +E=200 //GPa //Modulus of Elasticity + +//Calculaion + +//Let P be the equivalent gradually applied load whuch would cause the same stress as is caused by the impact Load +//200(0.1+dell)=P*dell*2**-1 (Equation 1) + +//dell=3*P*L**3*(8*E*n*b*t**3)**-1 //Deflection +//After substituting values in above equation and further simplifying we get +//P=136533.33*dell + +//After substituting values of P in (equation 1) and further simplifying we get +//200(0.1+dell)=136533.33*dell**2*2**-1 + +//simplifying above equation we get +//dell**2-2.93*10**-3*dell-2.93*10**-4=0 +//The Above Equation is in the form of ax**2+bx+c=0 +a=1 +b=-2.93*10**-3 +c=-2.93*10**-4 + +//First computing value of b^2-4ac and store it in a variable say X +X=b**2-(4*a*c) +//now roots are given as x=(-b+X**0.5)/(2*a) and second root is negative sign before X + +dell_1=(-b+X**0.5)*(2*a)**-1 +dell_2=(-b-X**0.5)*(2*a)**-1 + +//Now deflection cannot be negative so consider value of dell_1 + +P=136533.33*dell_1 +sigma=3*P*L*10**-2*(2*n*b_1*10**-2*(t*10**-3)**2)**-1*10**-6 //MPa //Max instantaneous stress +R=(L*10**-2)**2*(8*dell_1)**-1 //Radius of curvature + +//Result +printf("Max instantaneous stress in plates is %.2f",sigma);printf(" MPa") +printf("\n Radius of curvature of spring is %.2f",R);printf(" m") |