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 --- 3683/CH3/EX3.3/Ex3_3.sce | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 3683/CH3/EX3.3/Ex3_3.sce (limited to '3683/CH3/EX3.3/Ex3_3.sce') diff --git a/3683/CH3/EX3.3/Ex3_3.sce b/3683/CH3/EX3.3/Ex3_3.sce new file mode 100644 index 000000000..592c01571 --- /dev/null +++ b/3683/CH3/EX3.3/Ex3_3.sce @@ -0,0 +1,17 @@ +Bf=1200//width of flange, in mm +Bw=200//breadth of web, in mm +Df=100//thickness of flange, in mm +d=400//effective depth, in mm +m=13.33//modular ratio +Ast=4*0.785*18^2//four 18mm dia bars, in sq mm +//assume x > Df; ; equating moments of area on compression and tension sides about N.A. +x=(m*Ast*d+Bf*Df^2/2)/(m*Ast+Bf*Df)//in mm +//as x < Df; our assumption was incorrect +//x < Df; find x using Bf(x^2)/2=mAst(d-x), which becomes of the form px^2+qx+r=0 +p=Bf/2 +q=m*Ast +r=-m*Ast*d +//solving quadratic equation +x=(-q+sqrt(q^2-4*p*r))/(2*p)//in mm +//x