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100494663 UNPDF
t 1000 kg
kNm kN m
:=
⋅
ORIGIN 1
:=
Schemat I:
Pr 1_SZMD
:=
1700 kN
Pr 1_SZMK
:=
1780 kN
Pr 1_SZMKW
:=
1850 kN
Hyr 1_SZMD
:=
35 kN
Hyr 1_SZMK
:=
55 kN
Hyr 1_SZMKW
:=
− kN
40
Hxr 1_SZMD
:=
− kN
50
Hxr 1_SZMK
:=
− kN
85
Hxr 1_SZMKW
:=
− kN
150
Mx r1_SZMD
:=
− kNm
110
Mx r1_SZMK
:=
− kN m
130
⋅
Mx r1_SZMKW
:=
− kN m
300
⋅
My r1_SZMD
:=
− kNm
270
My r1_SZMK
:=
− kN m
240
⋅
My r1_SZMKW
:=
− kN m
670
⋅
Schemat II:
Pr 2_SZMK
:=
1770 kN
Pr 2_SZMKW
:=
1800 kN
Hyr 2_SZMK
:=
− kN
65
Hyr 2_SZMKW
:=
35 kN
Hxr 2_SZMK
:=
70 kN
Hxr 2_SZMKW
:=
175 kN
Mx r2_SZMK
:=
112 kN m
⋅
Mx r2_SZMKW
:=
315 kN m
⋅
My r2_SZMK
:=
190 kN m
⋅
My r2_SZMKW
:=
− 10
7
× kN m
⋅
Grunt
Pd I D.1
:=
0.45
Pd.2
G.z I L.3
:=
0.21
1
:=
1.75
t
m 3
2
:=
(
1.9 1
−
)
t
m 3
3
:=
2.1
t
m 3
w 1
:=
16 %
w 2
:=
24 %
w 3
:=
18 %
23 deg
3
:=
1
:=
30 deg
2
:=
30 deg
0 kPa
38 kPa
c 1
:=
c 3
:=
c 2
:=
0 kPa
Dane:
a 0.4 m
:=
pwf 0.8 m
:=
h z
:=
1 m
b 0.6 m
:=
B 2.2 m
:=
e xs
:=
0.2 m
L 2.5 m
:=
e ys
:=
0.4 m
h 0.65 m
:=
Posadzka : g1
≡
24
kN
m 3
Zasypka : g2
≡
18
kN
m 3
g3
:=
g2
:=
100494663.306.png
Siły i ich ramiona:
L :
Stopa:
G L.1
(
B L
,
) h B
:=
⋅ g1
⋅ L
⋅
G L.1
(
B L
,
) 85.8 kN
=
⋅
r L 1
:=
0
Lewa odsadzka:
G L.3
(
B L
,
) 0.65 m
:=
⋅
L b
−
2
+
e xs
⋅ B
g2
⋅
r L.3
( )
L
:=
L b
+
4
−
e xs
2
G L.3
(
B L
,
) 29.601 kN
=
⋅
r L.3
( ) 0.675 m
L
=
M L3
(
B L
,
) G L.3
:=
(
B L
,
) r L.3
⋅
( )
L
M L3
(
B L
,
) 19.981 kNm
=
⋅
G L.5
(
B L
,
) 0.15 m
:=
⋅
L b
−
2
+
e xs
⋅ B
g1
⋅
r L.5
( )
L
:=
r L.3
( )
L
( ) 0.675 m
r L.5
L
=
G L.5
(
B L
,
) 9.108 kN
=
⋅
M L5
(
B L
,
) G L.5
:=
(
B L
,
) r L.5
⋅
( )
L
M L5
(
B L
,
) 6.148 kNm
=
⋅
Prawa odsadzka:
e xs
2
L b
+
4
L b
−
2
r L.2
( )
L
:=
+
G L.2
(
B L
,
) 0.65 m
:=
⋅
−
e xs
⋅ B
g2
⋅
G L.2
(
B L
,
) 19.305 kN
=
⋅
r L.2
( ) 0.875 m
L
=
M L2
(
B L
,
) G L.2
:=
(
B L
,
) r L.2
⋅
( )
L
M L2
(
B L
,
) 16.892 kNm
=
⋅
G L.4
(
B L
,
) 0.65 m
:=
⋅
L b
−
2
−
e xs
⋅ B
g1
⋅
r L.4
( )
L
:=
r L.2
( )
L
G L.4
(
B L
,
) 25.74 kN
=
⋅
r L.4
( ) 0.875 m
L
=
M L4
(
B L
,
) G L.2
:=
(
B L
,
) r L.2
⋅
( )
L
M L4
(
B L
,
) 16.892 kNm
=
⋅
M LG
(
B L
,
) M L2
:=
(
B L
,
) M L3
+
(
B L
,
)
+
M L4
(
B L
,
)
+
M L5
(
B L
,
)
G L
:=
G L.1
(
B L
,
) G L.2
+
(
B L
,
)
+
G L.3
(
B L
,
)
+
G L.4
(
B L
,
)
+
G L.5
(
B L
,
)
100494663.317.png 100494663.328.png 100494663.339.png 100494663.001.png 100494663.012.png 100494663.023.png 100494663.034.png 100494663.045.png 100494663.056.png 100494663.067.png
B :
Stopa:
G B.1
(
B L
,
)
:=
h B
⋅ g1
⋅ L
⋅
G B.1
(
B L
,
) 85.8 kN
=
⋅
r B.1
( ) 0
:=
Lewa odsadzka:
G B.3
(
B L
,
) 0.65 m
:=
⋅
B a
−
2
−
e ys
⋅ L
g2
⋅
B a
+
4
e ys
2
r B.3
( )
:=
+
G B.3
(
B L
,
) 14.625 kN
=
⋅
r B.3
( ) 0.85 m
=
M B3
(
B L
,
)
:=
G B.3
(
B L
,
) r B.3
⋅
( )
B
M B3
(
B L
,
) 12.431 kNm
=
⋅
G B.5
(
B L
,
) 0.15 m
:=
⋅
B a
−
2
−
e ys
⋅ L
g1
⋅
r B.5
( ) r B.3
:=
( )
G B.5
(
B L
,
) 4.5 kN
=
⋅
r B.5
( ) 0.85 m
=
M B5
(
B L
,
)
:=
G B.5
(
B L
,
) r B.5
⋅
( )
B
M B5
(
B L
,
) 3.825 kNm
=
⋅
Prawa odsadzka:
G B.2
(
B L
,
) 0.65 m
:=
⋅
B a
−
2
+
e ys
⋅ L
g2
⋅
r B.2
( )
:=
B a
+
4
−
e ys
2
G B.2
(
B L
,
) 38.025 kN
=
⋅
r B.2
( ) 0.45 m
=
M B2
(
B L
,
)
:=
G B.2
(
B L
,
) r B.2
⋅
( )
B
M B2
(
B L
,
) 17.111 kNm
=
⋅
G B.4
(
B L
,
) 0.15 m
:=
⋅
B a
−
2
+
e ys
⋅ L
g1
⋅
r B.4
( ) r B.2
:=
( )
G B.4
(
B L
,
) 11.7 kN
=
⋅
r B.4
( ) 0.45 m
=
M B4
(
B L
,
)
:=
G B.2
(
B L
,
) r B.2
⋅
( )
B
M B4
(
B L
,
) 17.111 kNm
=
⋅
M BG
(
B L
,
) M B2
:=
(
B L
,
) M B3
+
(
B L
,
)
+
M B4
(
B L
,
)
+
M B5
(
B L
,
)
G B
(
B L
,
) G B.1
:=
(
B L
,
) G B.2
+
(
B L
,
)
+
G B.3
(
B L
,
)
+
G B.4
(
B L
,
)
+
G B.5
(
B L
,
)
B
B
B
B
B
B
B
B
B
B
B
100494663.078.png 100494663.089.png 100494663.100.png 100494663.111.png 100494663.122.png
Nośność podłoża:
Q r
(
B L
,
)
:=
Pr 1_SZMKW
+
h B
⋅ g1
⋅
⋅
L
+
G B
(
B L
,
)
+
G L.2
(
a L
,
)
+
G L.3
(
a L
,
)
+
G L.4
(
a L
,
)
+
G L.5
(
a L
,
)
•
Dla warstwy 1:
1
:=
⋅
0.9
=
27 deg
⋅
tan
4
2
2
e tan
⋅
( )
N D
:=
⋅
+
=
13.199
N C
:=
( ) cot
N D
−
1
⋅
( )
=
23.942
( )
N B
:=
0.75 N D
⋅
−
1
⋅
tan
( )
=
4.662
c c 1
:=
⋅
0.9
=
0
D min
:=
pwf h
+
=
1.45 m
N r
:=
Q r
(
B L
,
) 2.106 10 3
=
×
⋅
kN
Hyr 1_SZMK
⋅
0.8
Dla Q. fNB : B
:=
atan
=
0.021
N r
( )
tan
tan B
=
0.041
tan
( ) 0.51
=
( )
i c
:=
0.91
i D
:=
0.92
i B
:=
0.86
g2
⋅
(
0.65 m h
+
)
⋅ g1
0.8
+
⋅ m 0.8
0.15
⋅
kN
m 3
D
:=
=
14.897
⋅
0.8 m h
+
B
:=
1
⋅
g
⋅
0.9
=
15.445
⋅
kN
m 3
L L 2 e rL
−
⋅
B B 2 e rB
−
Q fNB
(
B L
,
)
:=
B L
⋅
⋅
1 0.3 B
L
+
N C
⋅
⋅
c
⋅
i c
+
1 1.5 B
L
+
N B
⋅
⋅ D
i B
⋅
⋅
D min
+
1 0.25
−
B
L
N B
⋅
⋅ B
⋅
⋅
i B
mQ fNB
(
B L
,
)
:=
Q fNB
(
B L
,
) 0.81
⋅
mQ fNB
(
B L
,
) 978.343 kN
=
⋅
< Q r
(
B L
,
) 2.033 10 3
=
×
⋅
kN
Dla Q. fNL :
Hxr 1_SZMK
⋅
0.8
B
:=
atan
=
−
0.032
N r
( )
tan
tan B
=
−
0.063
tan
( ) 0.51
=
( )
:=
:=
B
100494663.133.png
i c
:=
0.91
i D
:=
0.92
i B
:=
0.86
Q fNL
(
B L
,
)
:=
B L
⋅ 1 0.3 L
B
⋅
+
N C
⋅ c
⋅ i c
⋅ 1 1.5 L
B
+
+
N B
⋅ i B
⋅ D
⋅ D min
⋅
+
1 0.25
L
B
N B
⋅ L
⋅ B
⋅ i B
⋅
mQ fNL
(
B L
,
)
:=
Q fNL
(
B L
,
) 0.81
⋅
mQ fNL
(
B L
,
) 1.006 10 3
=
× kN
⋅
< Q r
(
B L
,
) 2.033 10 3
=
× kN
⋅
:=
L 2.5 m 2.6 m
, 3.5 m
..
:=
, 5 m
..
2.8 10 6
×
2.58 10 6
×
2.36 10 6
×
mQ fNB
(
B L
,
)
Q r
(
B L
,
)
2.14 10 6
×
1.92 10 6
×
1.7 10 6
×
1.9
2.1
2.3
2.5
2.7
2.9
3.1
3.3
3.5
B
Dla B=2.5m:
2.7 10 6
×
2.6 10 6
×
mQ fNB
( )
2.55 m L
,
2.5 10 6
×
Q r
(
2.55 m 2 e rB
+ L 2 e rL
,
+
)
2.4 10 6
×
2.3 10 6
×
2.2 10 6
×
3.6
3.7
3.8
3.9
4
4.1
4.2
4.3
4.4
4.5
L
−
B 1.8 m 1.81 m
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