From 7bc77cb1ed33745c720952c92b3b2747c5cbf2df Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Sat, 3 Feb 2018 11:01:52 +0530
Subject: Added new code

---
 3864/CH4/EX4.9/Ex4_9.sce | 48 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 48 insertions(+)
 create mode 100644 3864/CH4/EX4.9/Ex4_9.sce

(limited to '3864/CH4/EX4.9/Ex4_9.sce')

diff --git a/3864/CH4/EX4.9/Ex4_9.sce b/3864/CH4/EX4.9/Ex4_9.sce
new file mode 100644
index 000000000..93537e581
--- /dev/null
+++ b/3864/CH4/EX4.9/Ex4_9.sce
@@ -0,0 +1,48 @@
+clear
+//
+//
+
+//Initilization of Variables
+
+b1=200 //mm //Width at base
+b2=100 //mm //Width at top
+
+L=8 //m Length
+P=500 //N //Load
+
+//Calculations
+
+//Consider a section at y metres from top
+
+//At this section diameter d is
+//d=b2+y*L**-1*(b1-b2)
+//After Further simplifying we get
+//d=b2+12.5*y //mm
+
+//Moment of Inertia
+//I=%pi*64**-1*d**4
+
+//Section Modulus 
+//Z=%pi*32**-1*(b1+12.5*y)**3
+
+//Moment 
+//M=5*10**5*y //N-mm
+
+//Let sigma be the fibre stress at this section then
+//M=sigma*Z
+//After sub values in above equation and further simplifying we get
+//sigma=5*10**5*32*%pi**-1*y*((b2+12.5*y)**3)**-1
+
+//For sigma to be Max,d(sigma)*(dy)**-1=0
+//16*10**6*%pi**-1*((b2+12.5*y)**-3+y*(-3)*(b2+12.5*y)**-4*12.5)
+//After Further simplifying we get
+//b2+12.5*y=37.5*y
+//After Further simplifying we get
+y=b2*25**-1 //m
+
+//Stress at this section
+sigma=5*10**5*32*%pi**-1*y*((b2+12.5*y)**3)**-1
+
+//Result
+printf("\n Stress at Extreme Fibre is max %0.2f  m",y)
+printf("\n Max stress is %0.2f  N/mm**2",sigma)
-- 
cgit