EXAMPLE MATHCAD 6.0 WORKSHEET FOR
BARENBERG DESIGN METHOD
Solving of Boussinesq equation for z, the depth of aggregate for
wheel loads of 60 and 115 kN, applied contact pressure is 414 kPa.
With geotextile.
Wload = 115 000 newton
ConPress = 414 000 Pa
Wload
r=
r = 0.29735 m
ConPress ⋅ π
6.0c
σ(c) =
c = 10 000 Pa, 20 000 Pa ... 60 000 Pa
ConPress
c
r
Stuff in English units:
= 0.97557
psi
ft
1.45038
2.90075
4.35113
5.80151
7.25189
8.70226
1
[1 σ](c)
z(c,r) = r
3
2
[
]
1 1 σ(c)
3
z(c,r)
c
1.000 000 104 kg m1 sec2
0.89647 m
2.000 000 104 kg m1 sec2
0.58732 m
3.000 000 104 kg m1 sec2
0.43709 m
4.000 000 104 kg m1 sec2
0.33620 m
5.000 000 104 kg m1 sec2
0.25473 m
6.000 000 104 kg m1 sec2
0.17497 m
This part of the sheet creates a database and makes a .prn
file out of it for importing to a spreadsheet later.
WRITEPRN (Baretwent) = z(c,r)
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