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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/EX8.16 | |
parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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-rw-r--r-- | 3772/CH8/EX8.16/Ex8_16.sce | 48 |
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diff --git a/3772/CH8/EX8.16/Ex8_16.sce b/3772/CH8/EX8.16/Ex8_16.sce new file mode 100644 index 000000000..791095d23 --- /dev/null +++ b/3772/CH8/EX8.16/Ex8_16.sce @@ -0,0 +1,48 @@ +// Problem 8.16,Page no.217 + +clc;clear; +close; + +n=10 //Number of coils +sigma=100 //MPa //Bending stress +sigma_s=110 //MPa //Twisting stress +//D=8*d +dell=1.8 //cm //Max extension of of wire +E=200 //GPa //Modulus of Elasticity +G=80 //GPa //Modulus od Rigidity + +//Calculation + +//M=W*R*sin_alpha=%pi*d**3*sigma_1*32**-1 //(Equation 1) //Bending moment +//As D=8*d +//then R=D*2**-1 +//Therefore, R=4*d + +//Now substituting values in equation 1 we get +//W*sin_alpha=2454369.3*d**2 (Equation 2) + +//T=W*R*cos_alpha=%pi*d**3*sigma_s //Torque (Equation 3) +//Now substituting values in equation 3 we get +//W*cos_alpha=5399612.4*d**2 (Equation 4) + +//Dividing Equation 2 by Equation 4 we get, +//tan_alpha=0.4545 +alpha=atan(0.4545)*180*%pi**-1 + +//From Equation 2 we get +//W=2454369.3*d**2*(sin24.443)**-1 +//W=5931241.1*d**2 (Equation 5) + +//dell=64*W*R**3*n*sec_alpha*(d**4)**-1*((cos_alpha)**2*G**-1+2*sin_alpha**2*E**-1) +//Now substituting values in above equation we get +//W=33140.016*d (Equation 6) + +//From Equation 5 and Equation 6 we get +//5931241.1*d**2=33140.016*d +//After simplifying above equation we get +d=33140.016*5931241.1**-1 //m //Diameter of wire +W=33140.016*d //N //MAx Permissible Load + +//Result +printf("The Max Permissible Load is %.2f",W);printf(" N") +printf("\n The Wire Diameter is %.6f m",d) |