5&6: Dams & Stability of Floating Bodies

Righting Moment

These are the moments about the toe causing rotation towards the upstream side.

Overturning Moment

These are the moments about the toe causing rotation towards the downstream side.

Righting Moment

These are the moments about the toe causing rotation towards the upstream side.

Overturning Moment

These are the moments about the toe causing rotation towards the downstream side.

Metacentric Height

the distance from the metacenter to the center of gravity of the body measured along the axis of the body

B

width of the body

D

draft or depth of flotation

V

total volume submerged

G

center of gravity of the body in the upright position

Bo

center of buoyancy of the body in the upright position

Bo’

center of buoyancy of the body in the tilted position

M

metacenter

GM

metacentric height

metacenter

point of intersection between the buoyant force and the tilted axis of the body which determines its stability

theta

angle of tilting

v

volume of the wedge of immersion/emersion

s

horizonal distance between the centroids of v’s

I

moment of inertia of an area which is the top view of the body at the level of the liquid surface with respect to the axis of tilting

all of the above

The conditions for the stable equilibrium of a floating body are?

the center of gravity of the body and the metacenter

Metacentric height is given as the distance between?

buoyant force and the center line of body

Metacenter is the point of intersection of?

metacenter

When a body floating in a liquid, is displaced slightly, it oscillates about?

neutral equilibrium

When the ship’s metacenter and center of gravity coincide at same point then the vessel is said to be in?