diff options
Diffstat (limited to '3683/CH2/EX2.3/Ex2_3.sce')
-rw-r--r-- | 3683/CH2/EX2.3/Ex2_3.sce | 25 |
1 files changed, 25 insertions, 0 deletions
diff --git a/3683/CH2/EX2.3/Ex2_3.sce b/3683/CH2/EX2.3/Ex2_3.sce new file mode 100644 index 000000000..45ce17753 --- /dev/null +++ b/3683/CH2/EX2.3/Ex2_3.sce @@ -0,0 +1,25 @@ +b=300//width, in mm
+d=600//effective depth, in mm
+Ast=1256//in sq mm
+Asc=1256//in sq mm
+top_cover=30//in mm
+sigma_cbc=7//in MPa
+sigma_st=190//in MPa
+m=13.33//modular ratio
+//using elastic theory method
+//to find critical depth of neutral axis
+Xc=d/(1+sigma_st/(m*sigma_cbc))//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
+//as x<Xc, beam is under-reinforced
+sigma_cbc=(sigma_st/m)*x/(d-x)//in MPa
+sigma_cbc_dash=sigma_cbc*(x-top_cover)/x//in MPa
+sigma_sc=1.5*m*sigma_cbc_dash//in MPa
+//stress in compression steel is found to be less than its permissible limit of 130 N/mm^2
+Mr1=b*x*sigma_cbc*(d-x/3)/2+(1.5*m-1)*Asc*sigma_cbc_dash*(d-top_cover)//in N-mm
+//using steel beam theory method
+Mr2=Ast*sigma_st*(d-top_cover)//in N-mm
+mprintf("Moment of resistance of the beam using elastic theory method=%f kN-m\nMoment of resistance of the beam using elastic theory method=%f kN-m",Mr1/10^6,Mr2/10^6)
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