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Fuller Thomson Equation Derivation 1

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SandCounter

Mechanical
Joined
Apr 24, 2006
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Hello, I am looking into ideal particle sizes to achieve max-density and came across the Fuller Thomson equation for ideal gradation

%P = (d/Dmax)^n

Where d is particle size,
Dmax is maximum particle size found in a mix,
and n is a constant.

Fuller Thomson assumes n is 0.5 for spherical particles, others have suggested different coefficients based on shape parameters. I am dealing with nearly square particles of varying sizes.

I am interested if anyone can point me in the direction of a derivation of the Fuller Thomson equation at the "n" coefficient so I might find the right "n" value for my application.

Thank you.
 
Various values of n have been used by different groups. For asphalt, n=0.45. For concrete, n=0.5 is common. Attached is an article on concrete that might help you...

 
 https://files.engineering.com/getfile.aspx?folder=fe566c15-ab56-45c9-ae4e-44c04339ee83&file=Effect_of_Aggregate_Gradation_with_Fuller_Distribution_on_Propert.pdf
SC...no prob. Hope it helps.
 
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