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Pound per square inch

From Wikipedia, the free encyclopedia
Unit of pressure or stress
Pound per square inch
Apressure gauge reading in psi (red scale) andkPa (black scale)
General information
Unit systemImperial units,US customary units
Unit ofPressure,stress
Symbolpsi, lbf/in2
Conversions
1 psiin ...... is equal to ...
   SI units   6894.757 Pa

Thepound per square inch (abbreviation:psi) or, more accurately,pound-force per square inch (symbol:lbf/in2),[1] is aunit of measurement ofpressure or ofstress based onavoirdupois units and used primarily in the United States. It is the pressure resulting from aforce with magnitude of onepound-force applied to an area of onesquare inch. InSI units, 1 psi is approximately 6.895kilopascals.

Thepound per square inch absolute (psia) is used to make it clear that the pressure is relative to avacuum rather than the ambient atmospheric pressure. Since atmospheric pressure at sea level is around 14.7 psi (101kilopascals), this will be added to any pressure reading made in air atsea level. The converse ispound per square inch gauge (psig), indicating that the pressure is relative to atmospheric pressure. For example, a bicycle tire pumped up to 65 psig in a local atmospheric pressure at sea level (14.7 psi) will have a pressure of 79.7 psia (14.7 psi + 65 psi).[2][3] When gauge pressure is referenced to something other than ambient atmospheric pressure, then the unit ispound per square inch differential (psid).

Multiples

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Thekilopound per square inch (ksi) is a scaled unit derived from psi, equivalent to a thousand psi (1000 lbf/in2).

ksi are not widely used for gas pressures. They are mostly used inmaterials science, where thetensile strength of a material is measured as a large number of psi.[4]

The conversion in SI units is 1 ksi = 6.895 MPa, or 1 MPa = 0.145 ksi.

Themegapound per square inch (Mpsi) is another multiple equal to a million psi. It is used inmechanics for theelastic modulus of materials, especially for metals.[5]

The conversion in SI units is 1 Mpsi = 6.895 GPa, or 1 GPa = 0.145 Mpsi.

Magnitude

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Main article:Orders of magnitude (pressure)

Conversions

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The conversions to and from SI are computed from exact definitions but result in a repeating decimal.[6][7]

1lbf/in2=(0.45359237kg×9.80665m/s2)/lbf(0.0254m/in)2lbf/in2=88964432305211290320000Pa6894.757Pa1Pa=12903200008896443230521lbf/in20.0001450377lbf/in21kPa0.1450377lbf/in2{\displaystyle {\begin{aligned}1\,\mathrm {lbf/in^{2}} &={\frac {(0.453\,592\,37\,\mathrm {kg} \times 9.806\,65\,\mathrm {m/s^{2}} )/\mathrm {lbf} }{(0.0254\,\mathrm {m/in} )^{2}}}\,\mathrm {lbf/in^{2}} \\&={\frac {8896\,443\,230\,521}{1290\,320\,000}}\,\mathrm {Pa} \\&\approx 6894.757\,\mathrm {Pa} \\1\,\mathrm {Pa} &={\frac {1290\,320\,000}{8896\,443\,230\,521}}\,\mathrm {lbf/in^{2}} \\&\approx 0.000\,145\,0377\,\mathrm {lbf/in^{2}} \\1\,\mathrm {kPa} &\approx 0.\,145\,0377\,\mathrm {lbf/in^{2}} \\\end{aligned}}}

Approximate conversions (rounded to some arbitrary number of digits, except when denoted by "≡") are shown in the following table.

Pressure units
PascalsBarsStandard atmospheresPounds per square inchMillimetres of mercuryInches of mercuryTechnical atmospheresTorrs
Pa≡ 1 Nm2= 1×10−5 bar≈ 9.86923×10−6 atm≈ 1.45038×10−4 psi≈ 7.50062×10−3 mmHg≈ 2.95300×10−4 inHg≈ 1.01972×10−5 kgf/cm2≈ 7.50062×10−3 Torr
bar100000 Pa≡ 100 000 Nm2≈ 0.98692 atm≈ 14.5038 psi≈ 750.062 mmHg≈ 29.5300 inHg≈ 1.01972 kgf/cm2≈ 750.062 Torr
atm101325 Pa1.01325 bar≡ 101 325 Nm2≈ 14.6959 psi≈ 760.000 mmHg≈ 29.9213 inHg≈ 1.03323 kgf/cm2= 760 Torr
psi≈ 6894.76 Pa≈ 0.06895 bar≈ 0.06805 atm≡ 1 lbin2≈ 51.7149 mmHg≈ 2.03602 inHg≈ 0.07031 kgf/cm2≈ 51.7149 Torr
mmHg≈ 133.322 Pa≈ 1.33322×10−3 bar≈ 1.31579×10−3 atm≈ 0.01934 psi≡ gn × .001 m × 13595.1 kgm3≈ 0.03937 inHg≈ 1.35951×10−3 kgf/cm2≈ 1.00000 Torr
inHg≈ 3386.39 Pa≈ 0.03386 bar≈ 0.03342 atm≈ 0.49115 psi= 25.4 mmHg≡ gn × .254 m × 13595.1 kgm3≈ 0.0345316 kgf/cm2≈ 25.4000 Torr
kgfcm2≈ 98066.5 Pa≈ 0.98066 bar≈ 0.96784 atm≈ 14.2233 psi≈ 735.559 mmHg≈ 28.9590 inHg≡ 1 kgfcm2≈ 735.559 Torr
Torr≈ 133.322 Pa≈ 1.33322×10−3 bar≈ 1.31579×10−3 atm≈ 0.01934 psi≈ 1.00000 mmHg≈ 0.03937 inHg≈ 1.35951×10−3 kgf/cm2≡ 101 325/760 = 20 265/172 Nm2

See also

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References

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  1. ^IEEE Standard Letter Symbols for Units of Measurement (SI Units, Customary Inch-Pound Units, and Certain Other Units), IEEE Std 260.1™-2004 (Revision of IEEE Std 260.1-1993)
  2. ^"Glossary of Industrial Air Cleaning Technology".United Air Specialists, Inc. Archived fromthe original on August 1, 2011.
  3. ^"Gage v. Sealed v. Absolute pressure"(PDF).Dynisco.
  4. ^"Tensile Strength of Steel and Other Metals". All Metals & Forge Group. 18 April 2013. Retrieved2016-07-26.A metal's yield strength and ultimate tensile strength values are expressed in tons per square inch, pounds per square inch or thousand pounds (KSI) per square inch. For example, a tensile strength of a steel that can withstand 40,000 pounds of force per square inch may be expressed as 40,000 PSI or 40 KSI (with K being the denominator for thousands of pounds). The tensile strength of steel may also be shown in MPa, or megapascal.
  5. ^"An example of the use of Mpsi in mechanics for the elastic moduli of several materials". Archived fromthe original on 2016-12-16. Retrieved2015-06-06.
  6. ^BS 350: Part 1: 1974 – Conversion factors and tables.British Standards Institution. 1974. p. 49.ISBN 0-580-08471-X.
  7. ^NIST Special Publication 811 – Guide for the Use of the International System of Units (SI)(PDF).National Institute of Standards and Technology. 2008. p. 66.

External links

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