lb/in\text{lb/in}

pound per inch

Linear mass densityexact by definition

The pound per inch is exactly 17.8579673228... kg/m. It appears in strip, coil and extrusion work where product is sold by weight per inch of width or length, and in tape and web handling calculations.

Watch out: The string "lb/in" names three different quantities in American practice: this one (mass per unit length), a spring rate (pounds-force per inch of deflection) and a peel or tear strength (pounds-force per inch of width). This site keeps them in separate unit types, but a bare lb/in on a datasheet needs reading in context before it is converted as anything.

1 lb/in\text{lb/in} 17.857967 kg/m\text{kg/m}

About the pound per inch

Pounds per inch is the steel coil trade's working unit, where it goes by PIW, pounds per inch of width. Divide a coil's weight by its width and you know whether a crane, a slitter or a recoiler mandrel can take it, because coil handling equipment is rated in exactly those terms: 1,000 PIW is a common ceiling, at which a 60 inch wide coil weighs 60,000 pounds. Mills push PIW as high as the customer's equipment tolerates, since heavier coils mean fewer coil changes on the processing line.

The same number shows up in bar and section weight. Steel at 0.284 pounds per cubic inch means a bar with one square inch of cross-section weighs 0.284 pounds per inch of length, so weight per inch is simply cross-sectional area times that constant, and the lb/in³ density entry elsewhere in this catalog is the other half of the calculation. In SI terms one pound per inch is nearly 18 kilograms per metre, well into heavy-cable territory.

Web handling, tape and extrusion use the unit for throughput and tension budgeting, where product is bought by weight and processed by length. The mass converters here move it to kg/m or pounds per foot directly, and the caution on this page about the three unrelated meanings of "lb/in" is worth reading before trusting any datasheet that prints it.

One pound per inch in every linear mass density unit

178,580,000decitex (dtex)
160,722,000denier (den)
17,858,000milligram per meter (mg/m)
17,858,000tex (tex)
17,858gram per meter (g/m)
17,858kilogram per kilometer (kg/km)
178.58gram per centimeter (g/cm)
36pound per yard (lb/yd)
17.858kilogram per meter (kg/m)
12pound per foot (lb/ft)
1pound per inch (lb/in)this unit
0.372971slug per foot (slug/ft)