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Diffstat (limited to '3864/CH9/EX9.6/Ex9_6.sce')
-rw-r--r-- | 3864/CH9/EX9.6/Ex9_6.sce | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/3864/CH9/EX9.6/Ex9_6.sce b/3864/CH9/EX9.6/Ex9_6.sce new file mode 100644 index 000000000..cc66b9a26 --- /dev/null +++ b/3864/CH9/EX9.6/Ex9_6.sce @@ -0,0 +1,59 @@ +clear +// +// + +//Initilization of Variables + +L=3000 //mm //Length of column +W=800*10**3 //N //Load +a=1*1600**-1 //Rankine's constant +FOS=4 //Factor of safety +sigma=550 //N/mm**2 //stress + +//Calculations + +//Effective Length +l=L*2**-1 //mm + +//Let d1=outer diameter & d2=inner diameter +//d1=5*8**-1*d2 + +//M.I +//I=%pi*64**-1*(d1**4-d2**4) //mm**4 + +//Area of section +//A=pi4**-1*(d1**2-d2**2) //mm**2 + +//k=(I*A**-1) +//substituting values in above equation +//k=1*16**-1*(d1**2-d2**2) +//after simplifying further we get +//k=0.2948119.d1 + +//X=l*k**-1 +//substituting values in above equation and after simplifying further we get +//X=5087.9898*d1**-1 + +//Crtitcal Load +P=W*FOS //N + +//From Rankine's Load +//P2=sigma*A*(1+a*(X)**2)**-1 +//substituting values in above equation and after simplifying further we get +//d1**4-12156618*d1**4-1.96691*10**8=0 +//Solving Quadratic Equation we get +//d1**2-12156618*d1-196691000=0 +a=1 +b=-12156.618 +c=-196691000 + +Y=b**2-4*a*c + +d1_1=((-b+Y**0.5)*(2*a)**-1)**0.5 //mm +d1_2=((-b-Y**0.5)*(2*a)**-1) //mm + +d2=5*8**-1*d1_1 + +//Result +printf("\n Section of cast iron hollow cylindrical column is:d1_1 %0.2f mm",d1_1) +printf("\n :d2 %0.2f mm",d2) |