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

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 3819/CH3/EX3.27/Ex3_27.sce | 42 ++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 42 insertions(+)
 create mode 100644 3819/CH3/EX3.27/Ex3_27.sce

(limited to '3819/CH3/EX3.27/Ex3_27.sce')

diff --git a/3819/CH3/EX3.27/Ex3_27.sce b/3819/CH3/EX3.27/Ex3_27.sce
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+// A Textbook of Fluid Mecahnics and Hydraulic Machines - By R K Bansal
+// Chapter 3-Hydrostatic Forces on surfaces
+// Problem 3.27
+
+//Data given in the Problem
+dens=1000
+g=9.81
+d=4
+r=2
+
+//Calculations
+A1=d*r
+h=d/2
+F_x1=dens*g*A1*h
+W_ABCOA=dens*g*%pi/2*r^2*2
+F_y1=W_ABCOA
+//Right side of cylinder
+A2=r*2
+h2=r/2
+F_x2=dens*g*A2*h2
+W_DOCD=dens*g*%pi/4*r^2*r
+F_y2=W_DOCD
+//Net Force
+F_x_net=F_x1-F_x2
+F_y_net=F_y1+F_y2
+//F=net pressure
+F=(F_x_net^2+F_y_net^2)^0.5
+theta =(atan(F_y_net/F_x_net))/%pi*180
+mprintf("The resultant Force is %f N at an angle of %f degrees \n",F,theta)
+
+//Location of resultannt force
+//for position of F_x....
+//F_x1 acts at r*d/3=2.67 and F_x2 acts at r*2/3=1.33 m from free surface on right of cylinder
+y=(F_x1*(d-2.67)-F_x2*(r-1.33))/F_x_net    //F_x_net acts at at y metres from bottom
+//F_y1 acts at 4R/(3pi) from AOC=0.8488
+//F_y2 also acts at 4R/(3pi) from AOC=0.8488 towards right side
+x=(F_y1*0.8488-F_y2*0.8488)/F_y_net  //F_y_net acts at at x metres from bottom
+mprintf("F_y net acts at %f m from AOC and F_x_net acts at %f m from bottom \n",x,y)
+
+//Least weight of culinder
+//net upward force should be the least weight of the cylinder hence,W_least=F_y_net
+mprintf("the Least weight of the cylinder is %f N\n",F_y_net)
-- 
cgit