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Diffstat (limited to '3683/CH5/EX5.12/Ex5_12.sce')
-rw-r--r-- | 3683/CH5/EX5.12/Ex5_12.sce | 57 |
1 files changed, 57 insertions, 0 deletions
diff --git a/3683/CH5/EX5.12/Ex5_12.sce b/3683/CH5/EX5.12/Ex5_12.sce new file mode 100644 index 000000000..2ff93fdfe --- /dev/null +++ b/3683/CH5/EX5.12/Ex5_12.sce @@ -0,0 +1,57 @@ +b=450//width, in mm
+D=900//depth, in mm
+c=80//cover, in mm
+d=D-c//in mm
+Asc=4000//in sq mm
+Ast=Asc//in sq mm
+P=500//in kN
+e=600//in mm
+m=18.66
+//equation for x is: x^2 + (k1 - k2 / sigma_cbc_dash) x - k3 = 0
+k1=2/b*((1.5*m-1)*Asc+m*Ast)
+k2=2*P*10^3/b
+k3=2/b*(c*(1.5*m-1)*Asc+d*m*Ast)
+//equation for sigma_cbc_dash is: sigma_cbc_dash = Q1 x /(Q2 x^2 (d - x/3) + Q3 (x - c))
+Q1=P*10^3*(e+d-D/2)
+Q2=b/2
+Q3=(1.5*m-1)*(d-c)*Asc
+sigma_cbc_dash=7//assume, in MPa
+//solving equation for x
+p=1
+q=(k1-k2/sigma_cbc_dash)
+r=-k3
+x=(-q+sqrt(q^2-4*p*r))/2/p//in mm
+sigma_cbc_dash = Q1*x/(Q2*x^2*(d-x/3)+Q3*(x-c))//in MPa
+//this process is repeated till convergence
+//solving equation for x
+p=1
+q=(k1-k2/sigma_cbc_dash)
+r=-k3
+x=(-q+sqrt(q^2-4*p*r))/2/p//in mm
+sigma_cbc_dash = Q1*x/(Q2*x^2*(d-x/3)+Q3*(x-c))//in MPa
+//solving equation for x
+p=1
+q=(k1-k2/sigma_cbc_dash)
+r=-k3
+x=(-q+sqrt(q^2-4*p*r))/2/p//in mm
+sigma_cbc_dash = Q1*x/(Q2*x^2*(d-x/3)+Q3*(x-c))//in MPa
+//solving equation for x
+p=1
+q=(k1-k2/sigma_cbc_dash)
+r=-k3
+x=(-q+sqrt(q^2-4*p*r))/2/p//in mm
+sigma_cbc_dash = Q1*x/(Q2*x^2*(d-x/3)+Q3*(x-c))//in MPa
+//solving equation for x
+p=1
+q=(k1-k2/sigma_cbc_dash)
+r=-k3
+x=(-q+sqrt(q^2-4*p*r))/2/p//in mm
+sigma_cbc_dash = Q1*x/(Q2*x^2*(d-x/3)+Q3*(x-c))//in MPa
+//solving equation for x
+p=1
+q=(k1-k2/sigma_cbc_dash)
+r=-k3
+x=(-q+sqrt(q^2-4*p*r))/2/p//in mm
+sigma_sc=m*sigma_cbc_dash*(x-c)/x//in MPa
+sigma_st=m*sigma_cbc_dash*x/(d-x)//in MPa
+//answer in textbook is incorrect
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