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\\ The basic units for all {new-tab-link:http://www.csiberkeley.com/}CSI{new-tab-link} Software include force (lbs, kip, N, kN, etc.), length (ft, in, m, mm, etc.), time (second), and temperature (F, C). [Mass|kb:Mass] is then derived from these values. Some notes which concern force and mass units are as follows: * lbs and kips are only used as force units, not mass units * Consistent mass units are force divided by unit acceleration, given as F/(L/T{^}2{^}2^), where L is length and T is time. Weight is a force. \\ \\ ** Given SI units, where force is in Newtons (N), the consistent mass unit is N*sec{^}2{^}2^/m = kg. \\ \\ ** Given US Customary, where force is in pounds (lbs), the consistent mass unit is lbs*sec{^}2{^}2^/ft = slug. Under a unit acceleration, a mass of one slug generates a one pound force. When accelerated by gravity (g), this same mass generates a force of 32.2 lbs. * The pound-mass unit is not a consistent unit, where 1 slug = 32.2 pound-mass. Additional information is available in the Wikipedia {new-tab-link:http://en.wikipedia.org/wiki/Pound_(force)}Pound (force){new-tab-link} article. * Weight density has units of F/L{^}3{^}3^ * Consistent mass density has units of (F/(L/T{^}2{^}2^))/L{^}3{^}3^ = F*T{^}2{^}2^/L{^}4{^}4^ * The relationship between weight and mass, and weight density and mass density, is W = M * g, all in consistent units. \\ \\ ** To convert weight density W = 150 lbs/ft{^}3{^}3^ into mass density (kip-in), the calculation proceeds as follows: \\ \\ M = W / g = 150 lbs/ft{^}3{^}3^ / (32.2 ft/sec{^}2{^}2^) = 4.658 lbs*sec{^}2{^}2^/ft{^}4{^}4^ \* (kip / 1000 lbs) * (ft / 12 in){^}4{^}^4^ = 2.246E-7 kip*sec{^}2{^}2^/in{^}4{^} 4^ h1. See Also * [Units FAQ|kb:Units FAQ] |
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