重庆大学：《流体力学》课程教学资源（PPT课件）Fluid statics

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=「 pgySin edA4 F PgSineJyd4 og Sin BAy.= pg ah Thrust F- Resultant of pressure acting on every point of the plane surface f acts perpendicular to plane ° Magnitude of F=pgAh 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        = = = = =   