diff options
Diffstat (limited to '3683/CH1/EX1.8/Ex1_8.sce')
-rw-r--r-- | 3683/CH1/EX1.8/Ex1_8.sce | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/3683/CH1/EX1.8/Ex1_8.sce b/3683/CH1/EX1.8/Ex1_8.sce new file mode 100644 index 000000000..4d58db746 --- /dev/null +++ b/3683/CH1/EX1.8/Ex1_8.sce @@ -0,0 +1,22 @@ +b=250//width, in mm
+D=500//overall depth, in mm
+Ast=4*.785*22^2//four 22 mm dia bars, in sq mm
+cover=25//in mm
+d=D-cover//effective depth, in mm
+l=5//effective span, in m
+sigma_cbc=5//in MPa
+sigma_st=190//in MPa
+m=18.66//modular ratio
+//to find critical depth of neutral axis
+Xc=d/(1+sigma_st/(m*sigma_cbc))//in mm
+//to find actual depth of neutral axis using b(x^2)/2=mAst(d-x), which becomes of the form px^2+qx+r=0
+p=b/2
+q=m*Ast
+r=-m*Ast*d
+x=(-q+sqrt(q^2-4*p*r))/(2*p)//in mm
+//as x>Xc, beam is over-reinforced
+Mr=b*sigma_cbc*x/2*(d-x/3)//in N-mm
+self_weight=25*(b/10^3)*(D/10^3)//in kN/m
+M=Mr/10^6-self_weight*l^2/8//moment of resistance available for external load, in kN-m
+W=4*M/l//in kN
+mprintf("The concentrated load the beam can support at centre=%f kN",W)
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