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Diffstat (limited to '3864/CH8/EX8.11/Ex8_11.sce')
-rw-r--r-- | 3864/CH8/EX8.11/Ex8_11.sce | 64 |
1 files changed, 64 insertions, 0 deletions
diff --git a/3864/CH8/EX8.11/Ex8_11.sce b/3864/CH8/EX8.11/Ex8_11.sce new file mode 100644 index 000000000..f02a0b052 --- /dev/null +++ b/3864/CH8/EX8.11/Ex8_11.sce @@ -0,0 +1,64 @@ +clear +// +// +// + +//Initilization of Variables + +d_o=300 //mm //Outside diameter +d2=200 //mm //Internal Diameter +p=14 //N/mm**2 //internal Fluid pressure +t=50 //mm //Thickness +r_o=150 //mm //Outside Diameter +r2=100 //mm //Internal Diameter + +//Calculations + +//From Lame's Equation +//p_x=b*(x**2)**-1-a //N/mm**2 ...................(1) +//F_x=b*(x**2)**-1+a //N/mm**2 ...................(2) + +//At +p_x=14 //N/mm**2 + +//Sub value of p_x in equation 1 we get +//14=(100)**-1*b-a ............................(3) + +//At +p_x2=0 //N/mm**2 + +//Sub value in equation 1 we get +//0=b*(150**2)**-1-a ......................(4) + +//From Equations 3 and 4 we get +//14=b*(100**2)**-1-b*(100**2)**-1 +//After sub values and further simplifying we get +b=14*100**2*150**2*(150**2-100**2)**-1 + +//From equation 4 we get +a=b*(150**2)**-1 + +//Hoop Stress +//F_x=b*(x**2)**-1+a //N/mm**2 + +//At +x=100 //mm +F_x=b*(x**2)**-1+a //N/mm**2 + +//At +x2=125 //mm +F_x2=b*(x2**2)**-1+a //N/mm**2 + +//At +x3=150 //mm +F_x3=b*(x3**2)**-1+a //N/mm**2 + +//If thin Cyclindrical shell theory is used,hoop stress is uniform and is given by +F=p*d2*(2*t)**-1 //N/mm**2 + +//Percentage error in estimating max hoop tension +E=(F_x-F)*F_x**-1*100 //% + +//Result +printf("\n Max Hoop Stress Developed in the cross-section is %0.2f N/mm**2",F) +printf("\n Plot of Variation of hoop stress") |