3 Hydrostatic force on a surface Flashcards
Yc definition
Distance from surface of water to CENTROID along the plane
Delta y definition
Distance between centroid and the point where pressure P acts
Ic definition
MOI with respect to centroidf
I0 definition
MOI with respect to origin o
Delta y formula
Ixc/(AYc)
Ic of rectagle/square
Ic = bh^3/12
where the side that is perpendicular to axis is cubed
(ie, the side parallel to axis is not cubed)
Ic circle formula
same value along x or y axis as it is symmetrical, (pi R^4)/4
Centroid of a quadrant/ semicircle
Y bar= 4R/3pi
Centroid of a triangle
x bar= top + bottom /2
y bar= 1/3 h
Ic of triangle
ba^3/36
AGAIN the cubed side is perpendicular to axis
Hydrostatic F on curved sruface
Fnet must be resolved into Fx and Fy