summaryrefslogtreecommitdiff
path: root/3772/CH8/EX8.7/Ex8_7.sce
diff options
context:
space:
mode:
Diffstat (limited to '3772/CH8/EX8.7/Ex8_7.sce')
-rw-r--r--3772/CH8/EX8.7/Ex8_7.sce43
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")