The following tables show the measurements of the minimum foundations for anchoring columns and posts, calculated according to the Sultzberger formula for K=5, K=10 and K=15 kg/cm3, as the soil volume compressibility coefficient, depending on if the soil is soft, normal or rocky, respectively.

Balance is considered stable if the equation is verified:
Being:


1,5 Mv = (M1 + M2) 

Where: 
Mv = F(H + 2/3 h) 
M1 = 0,278 a h3K 
M2 = P x 0,4a 

Where: 
F = horizontal stress on top (Tn)
H = height (m)
h = depth of foundations (m)
a = horizontal measurements of foundations (m)
P = weight of foundations and luminaire (Tn)



The horizontal stress at top is caused by the action of the wind on the column and its luminaire.

CURVED POSTS / VALUES OBTAINED
 
H
(m)
ROCKY
K=15
a
(cm)
ROCKY
K=15
h
(cm)
NORMAL
K=10
a
(cm)
NORMAL
K=10
h
(cm)
SOFT
K=5
a
(cm)
SOFT
K=5
h
(cm)
4×1406050655075
5×1456050655080
6×1456550705080
6×1,5456550705085
7×1456550705085
7×1,5457050755090
8×1457050755090
8×1,5457050755095
9×1407550805095
9×1,5457550805595
9×2457550805595
10×1457550855595
10×1,54580508555100
10×24580508555105
12×160906510070120
12×1,560906510075120
12×2651007011080125
12×2,5651027511580125
 
COLUMNS / VALUES OBTAINED 
 
H
(m)
Ø
(m)
ROCKY
K=15
a
(cm)
ROCKY
K=15
h
(cm)
NORMAL
K=10
a
(cm)
NORMAL
K=10
h
(cm)
SOFT
K=5
a
(cm)
SOFT
K=5
h
(cm)
476456050655577
560456050655577
576456550705580
650456050655577
660456550705580
676457055706085
750456550705580
760457055706085
776457555756090
850457055706085
860457055756090
876507555756090
888507555806095
81025085559560110
812450905510060120
950507055756090
960507555756090
976507555806095
9885085559560110
910250905510060115
1050507055756090
1060507555806095
10765075559560110
108850905510060115
1010250955510560120
126050905510060115
127650955510560120
1476651057012075125