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Steel Design
this is a worksheet showing the calculations for design of steel reinforced earth retaining wall for highway embankmentFull description...
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Distribution of lat 8 7.5 7 6.5 6 5.5 5
z 4.5 h t 4 p e3.5 D 3 2.5 2 1.5 1 0.5 0 0
ral pressu
2
8 7.5 7 6.5 6 5.5
z 5 h t p4.5 e 4 D 3.5 3 2.5 2 1.5 1 1
1.25
b' = 0.1 b' = 0.3 b' = 0.5
1.5
Lateral pressure d 8 7.5 7 6.5 6 5.5 5
z 4.5 h t 4 p e3.5 D 3 2.5 2 1.5 1 0.5 0 0
10
20
30
40
ue to soil
50
Total Lateral pres 8 7.5 7 6.5 6 5.5 5
z 4.5 h t 4 p e3.5 D 3 2.5 2 1.5 1 0.5 0 0
ure VS De
Series1
50
Calculation for project at depth = 8m
iven Data And And genera generall Requirem Requirement ent Unit Units s Height of the Embankment )
8
16.6
metres kN/m3
FS(B)
3
n/a
vertical Tie Spacing (SV)
0.5
metres
3
metres
Span of Load
a
1.32 radians
Angle
'a(1) Thickness of ties Length of Ties
L
2 130.4 kN/m #REF! metres #REF! metres
Depth of Embankmen t z
b'
metres
metres
0.0
M
b'/z
0.1
#DIV/0!
#DIV/0!
1.0
0.1
1.114
0.1
2.0
0.1
1.257
0.1
3.0 4.0
0.1 0.1
1.305 1.329
0.0 0.0
5.0
0.1
1.343
0.0
6.0 7.0 8.0
0.1 0.1 0.1
1.352 1.359 1.364
0.0 0.0 0.0
120 pound/square inch = 827.370 873
Lateral Pressure Lateral Pressure due due to Surcharge to Soil Only s'a(2) s'a(1)
Angle a
Angle h
Angle b
radians
radians
radians
kn/m2
kn/m2
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
0 .0
0.1
1.3
1 .2
1.9
5 .5
0.0
1.0
0 .9
1.1
11.0
0.0 0.0
0.8 0.7
0 .8 0 .6
0.6 0.4
16.4 21.9
0.0
0.6
0 .5
0.2
27.4
0.0 0.0 0.0
0.5 0.4 0.4
0 .5 0 .4 0 .4
0.1 0.1 0.1
32.9 38.3 43.8
6 kilonewton/square meter
er ca er ca Pressure Pressure due due Total Lateral to Surcharge to Soil Only Pressure s'a s'o(2) s'o(1)
Total Vertical Pressure s'o
Tie Force T
Thickness of ties
kn/m2
kn/m2
kn/m2
kn/m2
kn/m2
meter
#DIV/0!
9.7
0 .0
9.7
#DIV/0!
#DIV/0!
7.3
8.3
16.6
24.9
3.7
0.000611
12.1
7.3
33.2
40.5
6.0
0. 0.001006
17.1 22.3
6.5 5.9
49.8 66.4
56.3 72.3
8.5 11.1
0. 0.001421 0.001856
27.6
5.4
83.0
88.4
13.8
0.002301
33.0 38.4 43.9
4.9 4.5 4.2
99.6 116.2 132.8
104.5 120.7 137.0
16.5 19.2 21.9
0.002751 0.003203 0.003658
thickness of Length within Effective ties with the rankine length of Length corrosion failure zone lr Ties le of Ties L meter
meter
meter
meter
#DIV/0!
4.6
#DIV/0!
#DIV/0!
0.003111
4.0
8.2
12.2
0.003506
3.5
8.3
11.7
0.003921 0.004356
2.9 2.3
8.4 8.6
11.3 10.9
0.004801
1.7
8.7
10.4
0.005251 0.005703 0.006158
1.2 0.6 0.0
8.8 8.8 8.9
9.9 9.4 8.9
80
50
42
38
32
30
27
25
23
20
18
16
15
14
12
10
9
9
20
area of surcharge curve 553 4.42
Stability
Overturning Active force 175.3
soil
Sliding 4.5
179.8
Numerator 639.28
urcharg
total
FOS
Resisting Moment W1 x1 W1x1 MR
1726.4 6.5 ## #
kn m kn-m
## #
kn-m
verturning Momen z' Mo
2.67 480.07
m
FOS
23.48
>
3
3.56 > 3
Ultimate Bearing Capacity qu = 3805.2 Vertical stress at 8 m = 142.5 FOS = 26.7 > 5
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