Job No.: Project: LOGO Subject: Calculation of Vert Modulus of Subgrade Reaction Prepared: Sheet: Rev.: Date: Che
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Job No.:
Project: LOGO
Subject: Calculation of Vert Modulus of Subgrade Reaction
Prepared:
Sheet:
Rev.:
Date:
Checked:
LOGO
CALCULATION OF VERTICAL MODULUS OF SUBGRADE REACTION (Reference: Foundation Analysis and Design, 5th Edition by Joseph E. Bowles) L= B= D=
3.7 3.3 2.8
m m m
Length Width Depth
Soil Profile Layer
Type
Thickness
Depth
(m) Very Stiff Hard Silty Sand to Sandy Silt Firm Clay to Silty Clay Very Stiff
1
2 3
Clayey Silt to Silty Clay Medium Dense to
4
Dense Sand
Soil Density, Friction Cohesion, γb cu Angle, Ø (kN/m3) (degrees) (kPa)
0-2.5m
2.50
18.50
25
158
2.5-12.25m
9.75
17.50
20
34.6
12.25-14m
1.75
18.00
25
184
14-16.50m
2.50
18.50
30
249
sc
Shape Factors sq
sγ
1.44 1.36
1.22 1.18
1.22 1.18
to Silty Sand Reference for soil profile:
Meyerhof's Factors Layer 1 2
Nc
Bearing Capacity Factors Nq Nγ
20.72 14.83
Layer 1 2 q= qu = FOS = qall =
dc
10.66 6.40 Depth Factors dq
1.27 1.24 51.50 1339.69 3.0 447
6.77 2.87
1.13 1.12
Kp 2.46 2.04 Angle, α
dγ 1.13 1.12
(degrees) 0 0
ic 1.00 1.00
Inclination Factors iq iγ 1.00 1.00
kPa
Effective overburden pressure at foundation level
kPa
Ultimate bearing capacity Factor of safety
kPa
Allowable soil bearing capacity
1.00 1.00
Calculation of vertical modulus of subgrade reaction is provided below: ks = Vertical modulus of subgrade reaction (ks = 40 x FOS x qall) 53,640 kPa/m