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Diffstat (limited to '3683/CH3/EX3.5/Ex3_5.sce')
-rw-r--r-- | 3683/CH3/EX3.5/Ex3_5.sce | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/3683/CH3/EX3.5/Ex3_5.sce b/3683/CH3/EX3.5/Ex3_5.sce new file mode 100644 index 000000000..fe72aaaf1 --- /dev/null +++ b/3683/CH3/EX3.5/Ex3_5.sce @@ -0,0 +1,22 @@ +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
+sigma_cbc=7//in MPa
+sigma_st=190//in MPa
+m=13.33//modular ratio
+Ast=4*0.785*18^2//four 18 mm dia bars, in sq mm
+//assume 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
+//to find critical depth of neutral axis
+Xc=d/(1+sigma_st/(m*sigma_cbc))//in mm
+//as x < Xc, beam is under-reinforced
+sigma_cbc=sigma_st/m*x/(d-x)//in MPa
+//taking moments about tensile steel
+Mr=Bf*x*sigma_cbc*(d-x/3)/2//in N-mm
+mprintf("Moment of resistance of the beam=%f kN-m", Mr/10^6)
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