Hydrostatic thrust on a plane (flat) surface Free surface Location of Force on da resultant force (center of pressure, CP) df=pg hda-pg y sin 0 da Resultant thrust F on plane of area a given by ntegration of df over A
Hydrostatic thrust on a plane (flat) surface Force on dA : dF = g h dA = g y Sin dA Resultant thrust F on plane of area A given by integration of dF over A
Hydrostatic Thrust on a Plane(flat) Surface df=pg hda=pg y sin e dA Resultant thrust F on plane of area a given by integration of df over A F=∫dF=「 gySin edA4 Pg Sino yda og Sin BAy.=pg Ah Thrust F=Resultant of pressure acting on every point of the plane surface F acts perpendicular to plane Magnitude off=pgAho f does not act through centroid of plane, C, in general
Hydrostatic Thrust on a Plane (flat) Surface dF = g h dA = g y Sin dA Resultant thrust F on plane of area A given by integration of dF over A • Thrust F = Resultant of pressure acting on every point of the plane surface • F acts perpendicular to plane • Magnitude of F = g A hc • F does not act through centroid of plane, C, in general c c A A gSin Ay gAh gSin ydA F dF gySin dA = = = = =