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/CH14/EX14.7/Ex14_7.sce | 49 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 3772/CH14/EX14.7/Ex14_7.sce (limited to '3772/CH14/EX14.7') diff --git a/3772/CH14/EX14.7/Ex14_7.sce b/3772/CH14/EX14.7/Ex14_7.sce new file mode 100644 index 000000000..4fae09483 --- /dev/null +++ b/3772/CH14/EX14.7/Ex14_7.sce @@ -0,0 +1,49 @@ +// Problem no 14.7,Page No.333 + +clc;clear; +close; +H=8 //m //height of dam +h=7.5 //m //Height of water +a=1 //m //top width +mu=0.6 //Coeffeicient of friction +rho_mason=22.4 //KN/m**3 //weight of mason +rho_w=9.81 //KN/m**3 //density of water + +//Calculations + +//weight of dam +//W=(a+b)*2**-1*L*H*rho2*10**-3 +//After substituting values and further simplifying we get +//W=89600*(b+1) + +//Distance of Line of action from vertical base +//x_bar=(b**2+b*a+a**2)*(3*(b+a))**-1 +//After substituting values and further simplifying we get +//x_bar=(1+b+b**2)*(3*(1+b))**-1 + +//Lateral thrust +P=rho_w*h**2*2**-1 + +//Min width to avoid tension at base +//Z=x_bar+P*W**-1*h*3**-1 +//Z=2*3**-1*b +//After substituting values and further simplifying we get +//b**2+b-24.09=0 +a=1 +b=1 +c=-24.09 + +X=b**2-4*a*c + +b1=(-b+X**0.5)*(2*a)**-1 +b2=(-b-X**0.5)*(2*a)**-1 + +//Thus width cannot be negative,b1 is considered + +//Min width to avoid sliding +//mu*W>P +//After substituting values and further simplifying we get +b=P*10**3*(mu*89600)**-1-1 + +//Result +printf("The Min bottom width is %.2f",b);printf(" m") -- cgit