From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

---
 3772/CH7/EX7.10/Ex7_10.sce | 38 ++++++++++++++++++++++++++++++++++++++
 1 file changed, 38 insertions(+)
 create mode 100644 3772/CH7/EX7.10/Ex7_10.sce

(limited to '3772/CH7/EX7.10')

diff --git a/3772/CH7/EX7.10/Ex7_10.sce b/3772/CH7/EX7.10/Ex7_10.sce
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+// Problem no 7.10,Page no.190
+
+clc;clear;
+close;
+
+sigma_s=90 //MPa //shear stress of steel
+sigma_d=60 //MPa //shear stress of duralumin
+G_d=28 //GPa //modulus of rigidity of duralumin
+G_s=84 //GPa //modulus of rigidity of steel
+L=1 //m //Length of shaft
+
+//Calculations
+
+//theta*L**-1=sigma_s*(G_s*R_s)**-1=sigma_d*(G_d*R_d)**-1
+
+//After substituting and simplifying,we get,
+//D=2*d
+
+//T_s=%pi*16**-1*d**3*sigma_s //N*m //torque of steel
+//T_d=%pi*16*(((D**4-d**4)*D**4)**-1)*sigma_d //N*m //torque of duralumin
+
+//After substituting and simplifying above two equations,we get,
+
+//T_s=17.6714*10**6*d**3 //N*m
+//T_d=88.3572*d**3 //N*m
+
+//T=T_s+T_d //Total torque
+
+//T=106.02875*10**6*d**3 
+
+d=(700*(106.02875*10**6)**-1)**0.333 //m 
+D=2*d //m
+R_s=d*2**-1 //m
+
+theta=(sigma_s*10**6*L*(G_s*10**9*R_s)**-1)*180*%pi**-1 //degree //Angle of twist
+
+//Result
+printf("The Angle of Twist is %.2f",theta);printf(" Degree")
-- 
cgit