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Diffstat (limited to '3864/CH4/EX4.9/Ex4_9.sce')
-rw-r--r-- | 3864/CH4/EX4.9/Ex4_9.sce | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/3864/CH4/EX4.9/Ex4_9.sce b/3864/CH4/EX4.9/Ex4_9.sce new file mode 100644 index 000000000..93537e581 --- /dev/null +++ b/3864/CH4/EX4.9/Ex4_9.sce @@ -0,0 +1,48 @@ +clear +// +// + +//Initilization of Variables + +b1=200 //mm //Width at base +b2=100 //mm //Width at top + +L=8 //m Length +P=500 //N //Load + +//Calculations + +//Consider a section at y metres from top + +//At this section diameter d is +//d=b2+y*L**-1*(b1-b2) +//After Further simplifying we get +//d=b2+12.5*y //mm + +//Moment of Inertia +//I=%pi*64**-1*d**4 + +//Section Modulus +//Z=%pi*32**-1*(b1+12.5*y)**3 + +//Moment +//M=5*10**5*y //N-mm + +//Let sigma be the fibre stress at this section then +//M=sigma*Z +//After sub values in above equation and further simplifying we get +//sigma=5*10**5*32*%pi**-1*y*((b2+12.5*y)**3)**-1 + +//For sigma to be Max,d(sigma)*(dy)**-1=0 +//16*10**6*%pi**-1*((b2+12.5*y)**-3+y*(-3)*(b2+12.5*y)**-4*12.5) +//After Further simplifying we get +//b2+12.5*y=37.5*y +//After Further simplifying we get +y=b2*25**-1 //m + +//Stress at this section +sigma=5*10**5*32*%pi**-1*y*((b2+12.5*y)**3)**-1 + +//Result +printf("\n Stress at Extreme Fibre is max %0.2f m",y) +printf("\n Max stress is %0.2f N/mm**2",sigma) |