diff options
Diffstat (limited to '629/CH3/EX3.13')
-rw-r--r-- | 629/CH3/EX3.13/ex3_13.txt | 3 | ||||
-rw-r--r-- | 629/CH3/EX3.13/example3_13.sce | 31 |
2 files changed, 34 insertions, 0 deletions
diff --git a/629/CH3/EX3.13/ex3_13.txt b/629/CH3/EX3.13/ex3_13.txt new file mode 100644 index 000000000..ef3405d34 --- /dev/null +++ b/629/CH3/EX3.13/ex3_13.txt @@ -0,0 +1,3 @@ +
+ Since the metacentric height is positive, the block will be stable in this slightly disturbed position.
+
\ No newline at end of file diff --git a/629/CH3/EX3.13/example3_13.sce b/629/CH3/EX3.13/example3_13.sce new file mode 100644 index 000000000..6f962ef19 --- /dev/null +++ b/629/CH3/EX3.13/example3_13.sce @@ -0,0 +1,31 @@ +clear
+clc
+//Example 3.13 STABILITY OF A FLOATING BLOCK
+//Dimensions of the block
+l=0.6; //[m]
+b=0.3; //[m]
+h=0.3; //[m]
+Vb=l*b*h //volume[m^3]
+W=318; //weight[N]
+g_w=9810; //[N/m^3]
+//For equilibrium(vertical direction), -weight+buoyant force=0
+d=W/(g_w*l*b) //[m]
+//Stability (longitudinal axis)
+Io1=((l*b^3)/12)//[m^4]
+CG1=0.06; //[m]
+V=d*l*b //[m^3]
+GM1=Io1/V-CG1 //metacentric height[m]
+//The metacentric height is negative hence the block is not stable about the longitudinal axis
+
+//For the block slightly disturbed
+VD=W/g_w //displaced volume[m^3]
+//(Displaced volume)=(Block volume)-(Volume above the waterline)
+//VD=Vb-(w^2*l/4)
+w=sqrt((Vb-VD)*4/l) //[m]
+
+//Moment of inertia of waterline
+Io2=(l*w^3)/12 //[m^4]
+CG2=0.0573; //[m]
+GM2=Io2/VD-CG2 //[m]
+printf("\n Since the metacentric height is positive, the block will be stable in this slightly disturbed position.\n")
+
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