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author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
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committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3772/CH8/EX8.14 | |
parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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diff --git a/3772/CH8/EX8.14/Ex8_14.sce b/3772/CH8/EX8.14/Ex8_14.sce new file mode 100644 index 000000000..db5cda509 --- /dev/null +++ b/3772/CH8/EX8.14/Ex8_14.sce @@ -0,0 +1,45 @@ +// Problem 8.14,Page no.215 + +clc;clear; +close; + +L=70 //cm //Length of Longest plate +n=10 //Number of turns +b_1=5 //cm //width of plates +P=3.5 //KN //central Load +t=6 //mm //thickness of plates +L=75 //cm //Length of plates +y_c=1.8 //cm //central deflection +sigma=190 //MPa //allowable bending stress +//b=12*t +E=200 //GPa //Modulus of Elasticity + +//Calculation +//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 + +y_c=3*P*L**3*(8*n*E*b*t**3)**-1 //Deflection (//Equation 1) +sigma=3*P*L*(2*n*b*t**2)**-1 //stress +//Dividing Equation 1 by Equation 2 we get +//y_c*sigma**-1=L**2*(4*E*t)**-1 +//After substituting values in above equation and further simplifying we get +t=190*10**6*0.7**2*(1.8*10**-2*4*200*10**9)**-1*10**3 //thickness of plate +b=12*t //Width of plates + +//sigma=3*2**-1*P*L*(n*b*t**2)**-1 //stress +//After substituting values in above equation and further simplifying we get +n=3*3.5*10**3*0.7*(2*190*10**6*0.077583*(6.465*10**-3)**2)**-1 + +//Now sigma*y**-1=E*R**-1 +//simplifying above equationwe get +R=200*10**9*6.465*10**-3*(2*190*10**6)**-1 //Radius of Curvature +a=L*10**-2*(2*n)**-1*10**3 //Overlap + +//Result +printf("size of the plate is: %.2f",b);printf(" mm") +printf("\n : %.2f",t);printf(" mm") +printf("\n Overlap of plates is %.2f",a);printf(" mm") +printf("\n Number of plates is %d",ceil(n)) +printf("\n The Radius of curvature is %.3f m",R) |