Forces On Submerged Surfaces Flashcards
How does hydrostatic pressure vary with depth?
Linearly
Pressures at any equal depth in a continuous fluid are …..
Equal
Pascal’s law
Pressure at a point acts equally in all directions
Pressure from a fluid on a boundary acts at …………. to that boundary
right angles
Define centroid
The point where the force is applied to a surface with a uniform load
Pressure at centroid x cross sectional area
FR=(γhc)A
Distance from O that FR acts
yR=Iₓ/ycA
Iₓ=second moment of the area=∫ₐy²dA
Second moment of area
Moment of inertia
Iₓ=∫ₐy²dA
Iy=∫ₐx²dA
Parallel axis theorem
Iₓ=Iₓc+Ay²c
yR
yR=(Iₓc/ycA)+yc
3 things for forces on curves surfaces
Forces on little elements are not parallel
Vector sum of all forces is needed to find resultant force
Consider fluid volume enclosed by curved surface
Resultant force
FR=√((FH)²+(Fᵥ)²)