In fiber or textile applications, tenacity is the usual measure of specific strength.
The SI unit for specific strength is Pa⋅m3/kg, or N⋅m/kg, which is dimensionally equivalent to m2/s2, though the latter form is rarely used.
For this measurement, the definition of weight is the force of gravity at the Earth's surface (standard gravity, 9.80665 m/s2) applying to the entire length of the material, not diminishing with height.
This usage is more common with certain specialty fiber or textile applications.
These materials and others such as titanium, aluminium, magnesium and high strength steel alloys are widely used in aerospace and other applications where weight savings are worth the higher material cost.
) The data of this table is from best cases, and has been established for giving a rough figure.
Note: Multiwalled carbon nanotubes have the highest tensile strength of any material yet measured, with labs producing them at a tensile strength of 63 GPa,[36] still well below their theoretical limit of 300 GPa.
[41] The density is different depending on the manufacturing method, and the lowest value is 0.037 or 0.55 (solid).
[37] The International Space Elevator Consortium uses the "Yuri" as a name for the SI units describing specific strength.
Specific strength is of fundamental importance in the description of space elevator cable materials.
One Yuri equals 1 Pa⋅m3/kg or 1 N⋅m/kg, which is the breaking/yielding force per linear density of the cable under tension.
[42][43] A functional Earth space elevator would require a tether of 30–80 megaYuri (corresponding to 3100–8200 km of breaking length).
[44] The null energy condition places a fundamental limit on the specific strength of any material.
[40] The specific strength is bounded to be no greater than c2 ≈ 9×1013 kN⋅m/kg, where c is the speed of light.
Tenacity is the customary measure of strength of a fiber or yarn.
It is usually defined as the ultimate (breaking) force of the fiber (in gram-force units) divided by the denier.