diff options
Diffstat (limited to '3683/CH18/EX18.3/Ex18_3.sce')
-rw-r--r-- | 3683/CH18/EX18.3/Ex18_3.sce | 35 |
1 files changed, 35 insertions, 0 deletions
diff --git a/3683/CH18/EX18.3/Ex18_3.sce b/3683/CH18/EX18.3/Ex18_3.sce new file mode 100644 index 000000000..3f73c91ac --- /dev/null +++ b/3683/CH18/EX18.3/Ex18_3.sce @@ -0,0 +1,35 @@ +b=225//in mm
+D=500//in mm
+c=45//cover, in mm
+Asc=2463//in sq mm
+Ast=Asc
+fck=15//in MPa
+fy=250//in MPa
+fcc=0.446*fck//in MPa
+//(i)
+xu=1.1*D//in mm
+m=0.43*D//in mm
+esc1=0.002*(xu-c)/(xu-m)
+esc2=0.002*(xu-D+c)/(xu-m)
+//by interpolation
+fsc1=217.5//in MPa
+fsc2=217.5*esc2/0.0010875//in MPa
+//stress block parameters for xu / D = 1.1
+n=0.384
+l=0.443
+A=n*fck*D//area of stress block
+r=l*D//distance of c.g., in mm
+Pu=(A*b+Asc*(fsc1-fcc)+Ast*fsc2)/10^3
+Mu=(A*b*(D/2-r)+Asc*(fsc1-fcc)*(D/2-c)-Ast*fsc2*(D/2-c))/10^6
+mprintf("(i) For xu = 1.1 D\nP=%f kN\nMu=%f kN-m\n",Pu,Mu)
+//answer in textbook is incorrect
+//(ii)
+xu=330//in mm
+esc=0.0035*(xu-c)/xu
+est=0.0035*(D-c-xu)/xu
+//by interpolation
+fsc=217.5//in MPa
+fst=217.5//in MPa
+Pu=(0.36*fck*b*xu+Asc*(fsc-fcc)-Ast*fst)/10^3//in kN
+Mu=(0.36*fck*b*xu*(D/2-0.416*xu)+Asc*(fsc-fcc)*(D/2-c)+Ast*fst*(D/2-c))/10^6//in kN-m
+mprintf("(ii) For xu = 330 mm\nP=%f kN\nMu=%f kN-m",Pu,Mu)
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