fluid mechanics - hydrostatic force

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7/18/2019 Fluid Mechanics - Hydrostatic Force http://slidepdf.com/reader/full/fluid-mechanics-hydrostatic-force 1/3  TOTAL PRESSURE For a static fuid, the shear stress is zero and the only stress is true normal stress. Pressure which when in contact with solid surace e!erts a normal orce towards the surace. "t is also call hydrostatic orce. F#ρ$hA %here& F#total 'ressure (hydrostatic orce) P#mass density o the li*uid $#$ra+itation acceleration A#sumer$e area o the 'lane surace -#+ertical distance rom the li*uid surace to the centroid o the sumer$e 'lane surace E/TRE OF PRESSURE entre o 'ressure is $eneral elow centroid since 'ressure increases with de'th. entre o 'ressure is determine y e*uatin$ the moments o the result and distriuted orce aout any aritrary a!is. The a''lication 'oint o the total 'ressure (hydrostatic orce) on the surace. h#  "a sin  O  0 h hA %here& h#+ertical distance rom the li*uid surace to the centre o 'ressure "$#moment o inertial o the 'lane surace aout its centroid 1

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Page 1: Fluid Mechanics - Hydrostatic Force

7/18/2019 Fluid Mechanics - Hydrostatic Force

http://slidepdf.com/reader/full/fluid-mechanics-hydrostatic-force 1/3

 TOTAL PRESSUREFor a static fuid, the shear stress is zero and the only stress

is true normal stress. Pressure which when in contact with solidsurace e!erts a normal orce towards the surace. "t is also call

hydrostatic orce.

F#ρ$hA

%here&F#total 'ressure (hydrostatic orce)P#mass density o the li*uid$#$ra+itation accelerationA#sumer$e area o the 'lane surace-#+ertical distance rom the li*uid surace to the centroid o the

sumer$e 'lane surace

E/TRE OF PRESSUREentre o 'ressure is $eneral elow centroid since 'ressure

increases with de'th. entre o 'ressure is determine y e*uatin$the moments o the result and distriuted orce aout anyaritrary a!is. The a''lication 'oint o the total 'ressure(hydrostatic orce) on the surace.

h# "a sin O 0 hhA

%here&h#+ertical distance rom the li*uid surace to the centre o'ressure"$#moment o inertial o the 'lane surace aout its centroid 1

Page 2: Fluid Mechanics - Hydrostatic Force

7/18/2019 Fluid Mechanics - Hydrostatic Force

http://slidepdf.com/reader/full/fluid-mechanics-hydrostatic-force 2/3

entral olle$es o the Phili''ines

olle$e o En$ineerin$i+il En$ineerin$ 2e'artment

Fluid 3echanics

Princi'les and theories in-ydrostatic Force in Sumer$e Plane

Senado, 4ohn hristian E.

Page 3: Fluid Mechanics - Hydrostatic Force

7/18/2019 Fluid Mechanics - Hydrostatic Force

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En$r. Renato S. 1atonton