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Diffstat (limited to '3772/CH8/EX8.7/Ex8_7.sce')
-rw-r--r-- | 3772/CH8/EX8.7/Ex8_7.sce | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/3772/CH8/EX8.7/Ex8_7.sce b/3772/CH8/EX8.7/Ex8_7.sce new file mode 100644 index 000000000..51ccd3456 --- /dev/null +++ b/3772/CH8/EX8.7/Ex8_7.sce @@ -0,0 +1,43 @@ +// Problem 8.7,Page no.211 + +clc;clear; +close; + +n=12 //number of coils +d=3 //cm //mean diameter +k=720 //N/m //stiffness of spring +sigma_s=190 //MPa //Max shear stress +G=80 //GPa //Modulus of rigidity +D=3 //mm //Diameter of outer spring + +//Calculations +R=D*2**-1 //mm //Radius of outer spring + +//Dell_1=64*P*(R*10**-3**3*n*(G*10**9*(d*10**-3)**4)**-1 //m //Extension of first spring +//After substituting values and further simplifying we get +//Dell_1=0.0004*P //m + +//Dell_2=64*P*(R*10**-3**3*n*(G*10**9*(d_1)**4)**-1 //m //Extension of first spring +//After substituting values and further simplifying we get +//Dell_2=3.24*10**-14*P*(d_1**4)**-1 //m //where d_1 is diameter of inner spring + +//Dell=Dell_1+Dell_2 +//After substituting values and further simplifying we get +//dell=0.0004*P+3.24*10**-14*P*((d)**4)**-1 + +//But dell=P*k**-1=P*720**-1 + +//Now substituting value of dell in above equation we get +d_1=(3.24*10**-14*(1*720**-1-0.0004)**-1)**0.25 //cm //diameter of inner spring + +//Now T=P*R=%pi*d_1**3*dell_s*sigma_s*16**-1 +//simplifying above equation further +//P=%pi*d**3*sigma_s*(16*R)**-1 +//Now substituting values and further simplifying we get +P=%pi*d_1**3*sigma_s*10**6*(16*R*10**-2)**-1 //N //Limiting Load + +dell=P*k**-1*10**2 //cm //Total Elongation + +//Result +printf("Greatest Load that can be carried by composite spring is %.f N",P) +printf("\n Extension in spring is %.2f",dell);printf(" cm") |