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Diffstat (limited to '3819/CH3/EX3.27/Ex3_27.sce')
-rw-r--r-- | 3819/CH3/EX3.27/Ex3_27.sce | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/3819/CH3/EX3.27/Ex3_27.sce b/3819/CH3/EX3.27/Ex3_27.sce new file mode 100644 index 000000000..a6e4565e0 --- /dev/null +++ b/3819/CH3/EX3.27/Ex3_27.sce @@ -0,0 +1,42 @@ +// A Textbook of Fluid Mecahnics and Hydraulic Machines - By R K Bansal
+// Chapter 3-Hydrostatic Forces on surfaces
+// Problem 3.27
+
+//Data given in the Problem
+dens=1000
+g=9.81
+d=4
+r=2
+
+//Calculations
+A1=d*r
+h=d/2
+F_x1=dens*g*A1*h
+W_ABCOA=dens*g*%pi/2*r^2*2
+F_y1=W_ABCOA
+//Right side of cylinder
+A2=r*2
+h2=r/2
+F_x2=dens*g*A2*h2
+W_DOCD=dens*g*%pi/4*r^2*r
+F_y2=W_DOCD
+//Net Force
+F_x_net=F_x1-F_x2
+F_y_net=F_y1+F_y2
+//F=net pressure
+F=(F_x_net^2+F_y_net^2)^0.5
+theta =(atan(F_y_net/F_x_net))/%pi*180
+mprintf("The resultant Force is %f N at an angle of %f degrees \n",F,theta)
+
+//Location of resultannt force
+//for position of F_x....
+//F_x1 acts at r*d/3=2.67 and F_x2 acts at r*2/3=1.33 m from free surface on right of cylinder
+y=(F_x1*(d-2.67)-F_x2*(r-1.33))/F_x_net //F_x_net acts at at y metres from bottom
+//F_y1 acts at 4R/(3pi) from AOC=0.8488
+//F_y2 also acts at 4R/(3pi) from AOC=0.8488 towards right side
+x=(F_y1*0.8488-F_y2*0.8488)/F_y_net //F_y_net acts at at x metres from bottom
+mprintf("F_y net acts at %f m from AOC and F_x_net acts at %f m from bottom \n",x,y)
+
+//Least weight of culinder
+//net upward force should be the least weight of the cylinder hence,W_least=F_y_net
+mprintf("the Least weight of the cylinder is %f N\n",F_y_net)
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