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MET 212
            Fluid Mechanics


                Lecture # 4




1/15/2013
Objective
Pressure Variation in Fluid at Rest
      Pressure Measurement
            Mechanical Pressure Measuring Device



Hydrostatic Force on Plane Surface




1/15/2013
Pressure Variation in Fluid at Rest


                               p=po



                                                          h
      A                                                        B


                        γ = specific weight




The pressure is the same at tall points along the line AB even with
                         irregular shape
1/15/2013
Pressure Measurement
Representation of gage and absolute pressure




1/15/2013
Pressure Measurement

 Mechanical Pressure Measuring Device




                   Pressure Gauge
1/15/2013
Hydrostatic Force on Plane Surface

        Free Surface            Free Surface
            P=0                     P=0

            FR
h
                 P=γh

                                  P=γh


 Pressure on tank bottom   Pressure on tank sides




1/15/2013
Hydrostatic Force on Plane Surface
                       x                   y



                       θ
                                                   FR   hc A
                                                   Where
                 hc        yc                      FR is the Resultant Force
            FR                                     hc is the vertical distance from the
                                                   fluid surface to the centroid of the
                           yR                      area and
                                                   A is the area

                             I xc      Where
                      yR          yc Ixc is the 2nd moment of the area
                             yc A
                                I xyc
                      xR                xc   = Zero in the uniform shape
                                yc A

1/15/2013
Hydrostatic Force on Plane Surface




1/15/2013

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Met 212 _4

  • 1. MET 212 Fluid Mechanics Lecture # 4 1/15/2013
  • 2. Objective Pressure Variation in Fluid at Rest Pressure Measurement Mechanical Pressure Measuring Device Hydrostatic Force on Plane Surface 1/15/2013
  • 3. Pressure Variation in Fluid at Rest p=po h A B γ = specific weight The pressure is the same at tall points along the line AB even with irregular shape 1/15/2013
  • 4. Pressure Measurement Representation of gage and absolute pressure 1/15/2013
  • 5. Pressure Measurement  Mechanical Pressure Measuring Device Pressure Gauge 1/15/2013
  • 6. Hydrostatic Force on Plane Surface Free Surface Free Surface P=0 P=0 FR h P=γh P=γh Pressure on tank bottom Pressure on tank sides 1/15/2013
  • 7. Hydrostatic Force on Plane Surface x y θ FR   hc A Where hc yc FR is the Resultant Force FR hc is the vertical distance from the fluid surface to the centroid of the yR area and A is the area I xc Where yR   yc Ixc is the 2nd moment of the area yc A I xyc xR   xc = Zero in the uniform shape yc A 1/15/2013
  • 8. Hydrostatic Force on Plane Surface 1/15/2013