CAE-Companion-2018-2019

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Basics: Consistent Units

Background Finite-Elemente-Programs require the usage of consistent unit systems. In structural mechanics the SI-Systems and the mm-t-s (Millimeter-Ton-Second) system have proved their worth.

What does consistent mean? Derived units can be expressed in terms of fundamental units without conversion factors: 1 Force Unit = 1Mass-Unit * 1 Acceleration-Unit 1 Acceleration-Unit = 1 Length-Unit / (1 Time-Unit) 2 1 Density-Unit = 1Mass-Unit / (1 Length-Unit) 3

Mass

Length

Time

Force

Pressure/Stress

Energy

kg kg kg kg kg

m

s s

N

Pa

J

cm cm cm

1.0e-02 N 1.0e+04 N 1.0e+10 N

1.0e+02 Pa 1.0e+08 Pa 1.0e+14 Pa

1.0e-04 J 1.0e+02 J 1.0e+08 J

ms

μs

mm

ms

kN

GPa

J

g g g g

cm cm

s

dyne

dy/cm²

erg

μs

1.0e+07 N

Mbar

1.0e+07 Ncm

mm mm mm

s

μN

Pa

nJ

ms

N N

MPa MPa

mJ mJ

ton

s s s s

lbf-s²/in

in

lbf kgf

psi

lbf-in

kgf-s²/mm

mm mm

kgf/mm²

kgf-mm

kg

mN

kPa

μJ

g

cm

ms

dN

1.0e+05 Pa

1.0e-01 J

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