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/CH2/EX2.5/Ex2_5.sce | 25 +++++++++++++++++++++++++
 1 file changed, 25 insertions(+)
 create mode 100644 3683/CH2/EX2.5/Ex2_5.sce

(limited to '3683/CH2/EX2.5')

diff --git a/3683/CH2/EX2.5/Ex2_5.sce b/3683/CH2/EX2.5/Ex2_5.sce
new file mode 100644
index 000000000..6fc000a60
--- /dev/null
+++ b/3683/CH2/EX2.5/Ex2_5.sce
@@ -0,0 +1,25 @@
+b=250//width, in mm
+d=450//effective depth, in mm
+Ast=4*0.785*22^2//four 22 mm dia bars on tension side, in sq mm
+Asc=Ast
+top_cover=30//in mm
+sigma_cbc=7//in MPa
+sigma_st=140//in MPa
+sigma_sc=130//in MPa
+m=13.33//modular ratio
+l=5.7//effective span, in m
+//to find critical depth of neutral axis
+Xc=d/(1+sigma_st/(m*sigma_cbc))//in mm
+//to find x using b(x^2)/2 + (1.5m-1)Asc(x-d')=mAst(d-x), which becomes of the form px^2+qx+r=0
+p=b/2
+q=(1.5*m-1)*Asc+m*Ast
+r=-(1.5*m-1)*Asc*top_cover-m*Ast*d
+x=(-q+sqrt(q^2-4*p*r))/(2*p)//in mm
+//as x<Xc, beam is under-reinforced
+sigma_cbc=(sigma_st/m)*x/(d-x)//in MPa
+sigma_cbc_dash=sigma_cbc*(x-top_cover)/x//in MPa
+sigma_sc=1.5*m*sigma_cbc_dash//in MPa
+//stress in compression steel is found to be less than its permissible limit of 130 N/mm^2
+Mr=b*x*sigma_cbc*(d-x/3)/2+(1.5*m-1)*Asc*sigma_cbc_dash*(d-top_cover)//in N-mm
+W=(Mr/10^6)*8/l^2//in kN/m
+mprintf("Uniformly distributed load the beam can carry (including self-weight)=%f kN/m",W)
-- 
cgit