diff options
Diffstat (limited to '3683/CH3/EX3.3/Ex3_3.sce')
-rw-r--r-- | 3683/CH3/EX3.3/Ex3_3.sce | 17 |
1 files changed, 17 insertions, 0 deletions
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<Df; hence our assumption is correct
+mprintf("Neutral axis depth=%f mm", x)
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