Newton per square meter (N/m²)

Pressure unit · SI system

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The newton per square metre is a unit of pressure equal to one pascal. Its symbol is N/m². The two are not merely equivalent but identical: the pascal is the name given to this combination, and before the General Conference on Weights and Measures adopted that name in 1971 the SI unit of pressure had no name at all and was written out in full.

Both forms survive because they do different work on the page. The pascal is compact and reads as a unit in its own right, which suits a measurement. The newton per square metre shows its dimensions, which suits a calculation, because it makes visible that multiplying by an area in square metres will give a force in newtons.

Structural engineering leans on the second property constantly. Floor loads are specified in kilonewtons per square metre, with about 1.5 for a dwelling, 3 for an office and 5 for a place of assembly, and multiplying that figure by the floor area gives directly the load in kilonewtons that the beams must carry. Written as kilopascals the same numbers would be correct but would hide the step.

Snow and wind follow the same convention. Snow load is given in kilonewtons per square metre, from a few tenths in a mild climate to several in the mountains, and wind pressure on a facade likewise. Because those loads are combined with dead weight, which is naturally a force, keeping everything in newtons avoids the need to convert anything.

The construction repeats one prefix down. A newton per square millimetre is exactly one megapascal, which is why material strengths appear on drawings as N/mm² as often as MPa. The pattern is worth recognising: whenever a document writes force over area rather than naming a pressure unit, it is because the writer expects the reader to multiply.

Nothing else distinguishes the two forms. Any value in newtons per square metre can be written as pascals without change, and any conversion table treats them as one entry. The choice is a matter of what the number is about to be used for.

One newton per square metre equals 1 pascal, 0.01 millibars, 0.00001 bar, or about 0.000145 pounds per square inch.

Newton per square meter conversion table

UnitSymbol1 Newton per square meter equals1 of these equalsConverter
NanopascalnPa1000000000 nPa0.000000001 N/m²Newtons per square meter to Nanopascals
MicropascalµPa1000000 µPa0.000001 N/m²Newtons per square meter to Micropascals
MillipascalmPa1000 mPa0.001 N/m²Newtons per square meter to Millipascals
CentipascalcPa100 cPa0.01 N/m²Newtons per square meter to Centipascals
DecipascaldPa10 dPa0.1 N/m²Newtons per square meter to Decipascals
PascalPa1 Pa1 N/m²Newtons per square meter to Pascals
DecapascaldaPa0.1 daPa10 N/m²Newtons per square meter to Decapascals
HectopascalhPa0.01 hPa100 N/m²Newtons per square meter to Hectopascals
KilopascalkPa0.001 kPa1000 N/m²Newtons per square meter to Kilopascals
Barbar0.00001 bar100000 N/m²Newtons per square meter to Bars
MegapascalMPa0.000001 MPa1000000 N/m²Newtons per square meter to Megapascals
GigapascalGPa0.000000001 GPa1000000000 N/m²Newtons per square meter to Gigapascals
TerapascalTPa1 × 10-12 TPa1000000000000 N/m²Newtons per square meter to Terapascals
Atmosphereatm0.00000986923266716 atm101325 N/m²Newtons per square meter to Atmospheres
Pound per square inchpsi0.00014503773773 psi6894.75729317 N/m²Newtons per square meter to Pounds per square inch
Kilopound per square inchksi0.000000145037743897 ksi6894757 N/m²Newtons per square meter to Kilopounds per square inch
Megapound per square inchMpsi1.45037743897 × 10-10 Mpsi6894757000 N/m²Newtons per square meter to Megapounds per square inch