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HYDRAULICS 1

HYDRAULICS 1. HYDRAULICS 1. HYDRAULICS 1. DEFINITION OF PRESSURE. PRESSURE; P= lim D F/ D A D A 0 FORCE; F (N) AREA; A (m 2 ) P=F/A (N/m 2 ) = (Pascal) 1 bar = 10 5 N/m 2 = 1 atmosphere. D F. F. A. D A. DEFINITION OF PRESSURE. y. P1 , P2 , P3 = average-

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HYDRAULICS 1

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  1. HYDRAULICS 1

  2. HYDRAULICS 1

  3. HYDRAULICS 1

  4. DEFINITION OF PRESSURE PRESSURE; P= lim DF/DA DA 0 FORCE; F (N) AREA; A (m2) P=F/A (N/m2) = (Pascal) 1 bar = 105 N/m2 = 1 atmosphere DF F A DA

  5. DEFINITION OF PRESSURE y P1 , P2 , P3 = average- pressure on the surfaces AB,AC, BC. q =arbitrary angle W =weight of the body ABC. B q q P3 P1 Q C x A W P2 LENGTH OF BODY = 1m

  6. PRESSURE VARIATION Patm.A (kN) Patm =Atmospheric pressure(kPa) Pabs = Absolute pressure (kPa) z (m) z.A.g (kN) Pabs=g.z + Patm P.A (kN)

  7. PRESSURE VARIATION (p+Dp) .DA Dl z DA . Dl .g l Dz a p .DA

  8. ABSOLUTE-, GAGE PRESSURE GAGE PRESSURE : Pgage ABSOLUTE PRESSURE Pabs ATMOSPHERIC PRESSURE Patm z Pgage= Pabs-Patm Pgage=gz Pabs=gz+Patm

  9. ABSOLUTE- ,GAGE PRESSURE Vacuum: 0 N/m2 (Pa) Atmospheric pressure (Patm): 1.013 . 105 N/m2 (Pa) Gage pressure (Pgage): Pressure reading at gage Absolute Pressure (Pabs): Pabs=Patm+Pgage Ex Pabs=151 kPa Pabs=51 kPa Pgage=50 kPa Patm=gage reference Pgage=0 Pgage= -50 kPa Pabs=151 Patm=101 kPa Pabs =51 kPa Pabs=0 Pabs=0

  10. PIEZOMETRIC HEAD Pressure head h=P/g (m) h h P P z Piezometric head The sum of the elevation above an arbitrary datum plus the pressure head. H= h + z = P/g + z z

  11. PROPERTY OF PRESSURE z (m) B A Pressure the same in all directions P=rgz Pressure the same at A and B. Pressure always perpendicular to a surface.

  12. Example 5.5 m 3.5 m What is the water pressure at the bottom under the peer?

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