1 / 8

HYDROSTATIC FORCES

HYDROSTATIC FORCES. MAGNITUDE, FORCE = PRESSURE x AREA LINE OF ACTION CENTRE OF PRESSURE. HYDROSTATIC FORCE ON A HORIZONTAL SURFACE. CONSTANT PRESSURE PASCAL’S PARADOX. HYDROSTATIC FORCE ON VERTICAL SURFACES . INCLINED/VERTICAL SURFACES PRESSURE CHANGES WITH DEPTH

adair
Download Presentation

HYDROSTATIC FORCES

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. HYDROSTATIC FORCES MAGNITUDE, FORCE = PRESSURE x AREA LINE OF ACTION CENTRE OF PRESSURE

  2. HYDROSTATIC FORCE ON A HORIZONTAL SURFACE • CONSTANT PRESSURE • PASCAL’S PARADOX T W DAVIES

  3. HYDROSTATIC FORCE ON VERTICAL SURFACES • INCLINED/VERTICAL SURFACES • PRESSURE CHANGES WITH DEPTH • NEED TO INTEGRATE OVER SURFACE T W DAVIES

  4. MAGNITUDE OF HYDROSTATIC FORCE ON A PLAIN SURFACE • Force on a representative element • Integrate to give total force • Show that total force = wetted area x average pressure T W DAVIES

  5. CENTRE OF PRESSURE • Turning moment on a representative element • Sum all such elements • Equate to moment of resultant force acting through centre of pressure T W DAVIES

  6. CENTER OF PRESSURE • FULLY SUBMERGED SURFACE • top is y1 from free surface • bottom is y2 from free surface • I.e. h = y2 - y1 • ycp = 2/3 . (y23 - y13) / (y22 - y12) T W DAVIES

  7. CENTRE OF PRESSURE • LIMITS • when y1 = 0, then y2 = h and ycp = 2/3. h • as submergence increases, ycp approaches ycg T W DAVIES

  8. FORCES ON CURVED SURFACES • HORIZONTAL FORCE ON VERTICAL PROJECTION OF THE SURFACE, AVP • resultant force = pav . avp • c.o.p. as for plain surface • VERTICAL FORCE ON HORIZONTAL PROJECTION OF THE SURFACE, AHP • equal to weight of fluid contained or displaced • acts through centre of gravity of fluid mass T W DAVIES

More Related