summaryrefslogtreecommitdiff
path: root/3683/CH3/EX3.2/Ex3_2.sce
diff options
context:
space:
mode:
Diffstat (limited to '3683/CH3/EX3.2/Ex3_2.sce')
-rw-r--r--3683/CH3/EX3.2/Ex3_2.sce16
1 files changed, 16 insertions, 0 deletions
diff --git a/3683/CH3/EX3.2/Ex3_2.sce b/3683/CH3/EX3.2/Ex3_2.sce
new file mode 100644
index 000000000..186602672
--- /dev/null
+++ b/3683/CH3/EX3.2/Ex3_2.sce
@@ -0,0 +1,16 @@
+Bf=1500//width of flange, in mm
+Bw=300//breadth of web, in mm
+Df=100//thickness of flange, in mm
+d=700//effective depth, in mm
+m=18.66//modular ratio
+Ast=8*0.785*25^2//eight 25 mm dia bars, in sq mm
+//assume depth of neutral axis is less than or equal to thickness of flange; 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>Df; hence our assumption is incorrect; 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
+x=263//round-off, in mm
+mprintf("Neutral axis depth=%d mm", x)