Conversion from Decapascals to Megapounds per square inch

Information about the Decapascal (daPa)

The decapascal is a unit of pressure equal to ten pascals. Its symbol is daPa. Deca is the least used prefix in the metric system almost everywhere, but the decapascal is an exception, because one clinical discipline adopted it and has kept it: audiology measures the pressure inside the middle ear in decapascals.

Tympanometry is the test in question. A probe seals the ear canal and varies the air pressure in it while measuring how much sound the eardrum reflects, and the resulting curve is plotted against pressure in decapascals. The sweep runs from about plus 200 to minus 400, and the position of the peak shows the pressure at which the eardrum moves most freely, which is normally the pressure of the middle ear itself.

That single graph carries a great deal of clinical information. A peak near zero means the middle ear is at the same pressure as the room, which is the healthy state. A peak displaced towards minus 200 or beyond suggests the Eustachian tube is not equalising properly, and a flat curve with no peak at all suggests fluid behind the eardrum. Each of those readings is a position on a decapascal scale.

The unit was chosen for the same reason the hectopascal was chosen in meteorology. Middle-ear pressure had long been recorded in millimetres of water, and one millimetre of water is 0.98 decapascals, so switching to the metric unit left every clinical number and every published reference range almost unchanged. A change of unit that shifts the figures by two per cent is one that practitioners will actually accept.

Outside audiology the decapascal is essentially unused. Ventilation and building airtightness work at similar pressures, an airtightness test being run at fifty pascals, but those figures are written in pascals, and everything above them moves to hectopascals or kilopascals. The gap between one and a hundred pascals is otherwise unclaimed.

For scale, ten pascals is the pressure a light breeze exerts on a wall, or the difference between the two ends of a well-sealed corridor when a door opens. It is also roughly the pressure change from riding a lift up one floor, which is why ears sometimes need clearing in a tall building.

One decapascal equals 10 pascals, 0.1 hectopascals, about 1.02 millimetres of water, or about 0.00145 pounds per square inch.

Information about the Megapound per square inch (Mpsi)

The megapound per square inch is a unit of pressure equal to one million pounds per square inch, or 6.895 gigapascals. Its symbol is Mpsi. Nothing operates at this pressure; the unit exists solely to state elastic modulus, which is the quantity that describes how stiff a material is rather than how strong.

Two numbers in it are memorised by every American mechanical engineer. Steel has a Young's modulus of 29 million pounds per square inch and aluminium of 10 million, and that ratio of roughly three to one governs how the two behave in every structure. A steel part and an aluminium part of identical shape and identical strength will not deflect identically, and the difference is exactly that factor.

The rest of the common metals fill in around them. Titanium sits at about 16.5 million pounds per square inch, copper at 17, magnesium at 6.5, and cast iron between 12 and 20 depending on grade. Because modulus barely changes with heat treatment or alloying within a metal family, these figures are far more stable than strength figures and can be relied on across grades.

Composites are where the unit does its most interesting work. Standard carbon fibre reaches about 33 million pounds per square inch along the fibre, high-modulus grades 55 to 85, and glass fibre only about 10, the same as aluminium. Since a composite laminate has a different modulus in every direction, designers work with a set of values rather than one, and the unit appears many times on a single datasheet.

Its metric equivalent is the gigapascal, and the conversion is 6.895 gigapascals to the megapound per square inch. Steel at 29 million pounds per square inch is 200 gigapascals, and aluminium at 10 million is 69, which are the two most quoted stiffness figures in metric engineering as well. The two traditions are describing exactly the same materials.

Distinguishing modulus from strength matters more here than anywhere. A steel with a modulus of 29 million pounds per square inch might yield at 50 thousand, a difference of nearly six hundred times, and the two properties are independent: heat treatment can double the strength of a steel while leaving its stiffness untouched.

One megapound per square inch equals 1,000,000 pounds per square inch, about 6.895 gigapascals, about 68,950 bar, or 1000 kilopounds per square inch.