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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+// Problem 5.7,Page no.126
+
+clc;clear;
+close;
+
+d=12 //m //depth of mast
+D_1=20 //cm //diameter at the base
+D_2=10 //cm //diameter at the top
+
+//Calculations
+
+//Consider section at a distance x cm below top of mast and y be the diameter at this section
+
+//triangle OAB and ODC are similar,we get
+//2*AB=x*120**-1
+//EB=y=10+x*120**-1
+//after simplifying we get, x=120*(y-10)
+
+//Z=%pi*64**-1*y**4)*(y*32**-1)**-1 //Section modulus
+//After simplifying we get
+//Z=(%pi*y**3)*(32)**-1
+
+//M=120*P(y-10) //bending moment at that section
+
+//From flexural formula we get,
+//sigma=M*Z**-1
+//After substituting and simplifying above equation we get,
+//sigma=3840*P*%pi**-1*(1*y**2-1-10*y**3-1)
+
+//To find max value of sigma taking derivative of above equation we get
+y=15 //cm
+
+//Now substituting value of y in all equations with variable y
+x=120*(y-10)
+//sigma=3840*P*(15-10)*(%pi*15**3)**-1
+
+//After implifying above equation we get
+
+P=(3500*%pi*15**3)*(3840*5)**-1 //N //Magnitude of load causing failure
+
+//Result
+printf("The Magnitude of Load is %.2f N",P)