Challenge

Week - 1 - Consistency of Units

LS-DYNA doesn't have a default system of units. User needs to input material properties and physical dimensions according to a consistent system of units as per their choice. This warrants that to use LS-DYNA in different circumstances, users has to be conversant with converting quantities from one system of units to another.

Objective: To convert the above given system into specified Unit system

Procedure: The unit conversion from SI to gm mm ms is given below

Mass 1Kg=1000gm=1*10^3 gm

Length 1m=1000mm=1*10^3 mm

Time 1s= 1000 ms =1*10^3 ms

Force 1N= 1 Kg m/s2=1(1000 gm*1000 mm)/(1000ms)2=1 gm mm/ms2

Stess 1Pa= 1N/m2=(1kg m/s2)=(1000gm*1000mm/(1000000ms2))=10^-6 gm mm ms2

Density 1kg/m3=1000 gm/10^9mm3=10^-6 gm/mm3

Velocity 56.33 Kmph=(56.33*10^6)/H=(56.33*10^6)/(3600*1000 ms)=15.647 mm/ms

Gravity 9.81 m/s2= 9.81( 1000 mm/(10^6ms2))=9

Units MASS LENGTH TIME FORCE STRESS ENERGY DENSITY YOUNG'S Modulus Velocity Gravity
Kg cm ms 1 100 10^3 10^-4 10^-8 10^-2 10^-6 21000 1.56472 9.81*10^-4
Kg cm s 1 100 1 10^2 10^-2 10^4 10^-6 210*10^7 1564.72 9.81*10^2
gm mm ms 10^3 1000 10^3 1 10^-6 10^3 10^-6 210*10^3 15.6472 9.81*10^-3
kg m s 1 1 1 1 1 1 1 210*10^9 15.6472 9.81
g cm s 10^3 100 1 10^5 10 10^7 10^-3 210*10^10 1564.72 9.81*10^2
g cm us 10^3 100 10^6 10^-7 10^-11 10^-5 10^-3 2.1 1564.72*10^-4 9.81*10^-10
g mm s 10^3 1000 1 10^6 1 10^9 10^-6 210*10^11 156472 9.81*10^3
ton mm s 10-3 1000 1 1 10^-6 10^3 10^-12 210*10^3 156472 9.81*10^3
slug ft s 0.068 3.28 1 0.224 0.0208 0.7366 1.93*10^-3 4.368 51.332 32.144
kg mm s 1 1000 1 10^3 10^-3 10^6 10^-9 210*10^6 156472 9.81*10^3
g cm ms 10^3 100 10^3 10^-1 10^-5 10 10^-3 210*10^4 1.56472 9.81*10^-4
kg mm ms 1 1000 10^3 10^-3 10^-9 1 10^-9 210 15.6472 9.81*10^-3
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