BRAE 312 Ch 3 - Pressures

BRAE 312 Ch 3 - Pressures - Hydraulics Pressure BRAE/ITRC...

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1 Hydraulic Hydraulics Pressur BRAE/ITRC Cal Poly Pressure Pressure-p-forceperunitarea units = psi p=F /A ITRC/BRAE Cal Poly See 3.1 of text
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2 Pressure Measurement pressure = specific weight x height of fluid p h γ = 20 psi = ? in feet ITRC/BRAE Cal Poly 20 psi – specific wt of 100 deg F water = ? 1 psi = ??? feet p h = ITRC/BRAE Cal Poly h = 1 psi * (144 in 2 /ft 2 ) 62.4 lb/ft 3 = 2.31 ft
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3 Pressure Measurement p h γ = p1 p h ITRC/BRAE Cal Poly p2 = z1 z2 Datum Pressure Measurement p p1 h = 1 2 pp ITRC/BRAE Cal Poly p2 z 1 z 2 Datum 12 zz γγ += +
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4 Pressure Measurement Sec 3.3 in text p pressure p1 h γ = 1 2 pp specific weight of fluid ITRC/BRAE Cal Poly p2 z 1 z 2 Datum 12 zz γγ += + Pressure Measurement p1 p h = pressure Horse Unit Reservoir z 1 1 2 + =+ specific weight of fluid ITRC/BRAE Cal Poly p2 z 2 Datum WDF
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5 Pressure Measurement - Units p1 Horse Unit Reservoir z 1 ITRC/BRAE Cal Poly p2 z 2 Datum WDF Pressure Measurement 14.696 psia 29.92 in Hg (Mercury) 33.91 ft H2O ITRC/BRAE Cal Poly P abs = Patm + Pgage
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6 ITRC/BRAE Cal Poly P abs = Patm + Pgage Piezometer h= ITRC/BRAE Cal Poly Or… p= h x γ
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7 Open-End Manometer Derivation in book Basic Equation ITRC/BRAE Cal Poly M M F A s p hR s γγ ⎡⎤ ⎛⎞ =+ ⎜⎟ ⎢⎥ ⎝⎠ ⎣⎦ Open End Manometer Given Given: Pipe with 100deg F water Elev B = 4 ft above A mercury manometer = 32 in ITRC/BRAE Cal Poly Find: What is the pressure, in psi? How tall would the column be if it was a piezometer?
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8 Open Ended Manometer M s ⎡⎤ ⎛⎞ Soln: 4 ft 32 in M F A ph R s γγ =+ ⎜⎟ ⎢⎥ ⎝⎠ ⎣⎦ h = 4 ft γ = 62.0 lb/ft 3 (Table A.3) s M = 13.56 at 68 deg F P =(620lb/f 3 x4ft+624lb/f 3 x 13 56 x 32in/12in/ft = 2504 4 ps ITRC/BRAE Cal Poly P A = (62.0 lb/ft x 4ft + 62.4 lb/ft x 13.56 x 32in/12in/ft = 2504.4 psf P A = 2504.4 psf/144in 2 /ft 2 = 17.4 psi Ans: 17.4 psi ...or a tube 40.4 ft tall Open-End Manometer Example Given: h = 1 ft, Temp = 68 deg F, S m = 13.56, Rm = 2.3 ft Find: P A Equation 2.3 ft ITRC/BRAE Cal Poly M M F A s p hR s 1 ft
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9 Open-End Manometer Example Soln: M M F A s p hR s γγ ⎛⎞ =+ ⎜⎟ ⎝⎠ Note: Use standard specific weight
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This note was uploaded on 11/18/2011 for the course BRAE 433 taught by Professor Styles during the Fall '10 term at Cal Poly.

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BRAE 312 Ch 3 - Pressures - Hydraulics Pressure BRAE/ITRC...

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