diff options
Diffstat (limited to '3683/CH2/EX2.1')
-rw-r--r-- | 3683/CH2/EX2.1/Ex2_1.sce | 14 |
1 files changed, 14 insertions, 0 deletions
diff --git a/3683/CH2/EX2.1/Ex2_1.sce b/3683/CH2/EX2.1/Ex2_1.sce new file mode 100644 index 000000000..4cf74c248 --- /dev/null +++ b/3683/CH2/EX2.1/Ex2_1.sce @@ -0,0 +1,14 @@ +b=200//width, in mm
+D=400//overall depth, in mm
+m=18.66//modular ratio
+Ast=4*0.785*22^2//four 22 mm dia bars at bottom, in sq mm
+Asc=3*0.785*20^2//three 20 mm dia bars at top, in sq mm
+bottom_cover=30//in mm
+top_cover=25//in mm
+d=D-bottom_cover//effective depth, 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
+mprintf("Depth of neutral axis=%f mm",x)
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