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7/29/2019 Report on Structural Design Calculation of Roughing Filter
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TABLE OF CONTENT1. GENERAL
1.1 Introduction
1.2 Design Properties
2. STABILITY CHECK
2.1 Soil Bearing Capacity
3. STRUCTURAL ANALYSIS
4. REINFORCEMENT DESIGN
7/29/2019 Report on Structural Design Calculation of Roughing Filter
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1. GENERAL
1.1 Introduction
Unit of measurement in design shall be SI unit system.
The strength of concrete structure will be designed in accordance with limit state designmethod and with factored load combination based on BS 8110, BS 8007
All design, details and materials will be in accordance with the following standards andother equivalent standards can be used where available.
BS 8110 : Reinforced Concrete Framed Building Structure BS 8007 : Water Retaining Structure BS 6399 Part 1 : Design Loading for Buildings
These design calculation sheets cover the design ofroughing filter structure.
1
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1.2 Design Properties
Reinforced Concrete:
Unit weight of concrete (c) = 24 kN/ Characteristic strength of concrete (fcu) = 35N/mm2 Yield strength of reinforcing bar (fy) = 460 N/mm2 Elastic modulus of concrete (Ec) = 27,000 N/mm2 Elastic modulus of rebar (Es) = 200,000 N/mm2 Partial safety factors for strength of material(m)
= 1.50 (Concrete in flexure or axial load)
= 1.25 (Shear strength without shear)
The allowable crack widths = 0.2 mm
Applied soil parameters are referred from result of Geotechnical investigation report.
Compacted soil density (t) = 20 kN/ At-rest earth pressure coefficient (K0) = 1 -sin (angle of friction = 30)
= 0.5
Allowable soil bearing capacity (qa) = 100 kN/ Water table : Same as F.G.L Density of water () = 10.00 kN/ Density of contained liquid (L) = 10.00 kN/ Lateral surcharge from vehicles = 20.00 kN/m
2
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
2.Stability Check:
2.1Check for bearing capasity:
Weight of walls :
=
= kN
Weight of base slab :
= 24x(0.5x15x12.7)
= kN
Weight of water :
= 10x(5.35x5.1x11.05)x2 + 2x(10x5.1x1.5x6)
= kN
Weight of filter media :
= (20-10)x(4.35x5.1x11.05)x2
= kN
Weight of channel :
= 24x(0.3x1.95x6.9)+24x(0.25x2.5x10.275)
= kN
Weight of water inside the channel:
= 24x(1.7x1.7x6.4)
= kN
Total weight = 5009+2286+6948+4902+251+444= kN
Total weight (with extra 5% for pipes ,walkways, etc..) = kN
Pressure due to load = 20830/(15x12.7+7x2)
= kN
Just exeed the 100 kN/m2
. Hence satisfactory.
101
444
19840
20830
24x(0.45x11.45x5.85x3+0.45x11.1x5.85+0.45x11.45x6.8
5x2+0.45x2x6.85x3)
2286
5009.0
6948
4902
251
3
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3.Structural Analysis:
(1)a.Long wall-ULS
Effective Length lx = mm
Effective Height lz = mm
k=lx/lz =
Hence wall is two way span slab.
Water Load Filter Media Load
Maximumwater pressure = 1.4x10x5.85 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =
vm =
hs =
hm =Mv =flz
2
Mh =fl2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Filter Media Load
Maximumwater pressure = 1.4x10x3.85/3 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =vm =
hs =
hm =
Mv =flz2
Mh =fl2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
17.9
53.3
30.5
9.4
Reference Calculations Output
11450
6100
1.88
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
Water Load
1.88
0.080
0.017
0.013
0.004
11.3
0.080
0.017
0.013
0.004
51.8
243.8
81.9
1.88
42.9
139.6
5850 3850
4
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
Total Moments
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Direct tension (carried by long wall).
For horizontal direct tension(or reaction on short wall):
k = ly/l =
w(average) = kN/
2
RHB,Tb.63 R1 = 0
R2 = R4 = 1/2(k-1/4)wlx2
=
R3 = 1/4wlx2
=
= kN/m
= kN/m
= kN/m
1.11
648.388
49.9
377.369
297.1
170.1
63.1
52.3
Force per unit length
along vertical edge
Force per unit length
along bottomedge
68.6
So horizontal direct tension on long
wall
106.293
106.293
5500
6100
5
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
(1)b.Long wall-SLS
Effective Length lx = mmEffective Height lz = mm
k=lx/lz =
Hence wall is two way span slab.
Water Load Filter Media Load
Maximumwater pressure = 1.0x10x5.35 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =
vm =
hs =
hm =
Mv =flz2
Mh =fl
2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Filter Media Load
Maximumwater pressure = 1.0x10x3.85/3 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =
vm =
hs =hm =
Mv =flz2
Mh =fl2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
0.0130.004
114506100
12.8
91.2
28.1
1.88
0.080
0.017
8.1
Water Load
53.5
1.88
0.080
159.3
33.8
1.88
0.017
0.013
0.004
38.1
21.8
6.7
5350 3850
6
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
Total Moments
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Direct tension (carried by long wall).
For horizontal direct tension(or reaction on short wall):
k = ly/l =
w(average) = kN/2
RHB,Tb.63 R1 = 0R2 = R4 = 1/2(k-1/4)wlx
2=
R3 = 1/4wlx2
=
= kN/m
= kN/m
= kN/m
45.58
34.8
197.4
113.0
41.9
1.11
33.2
430.743
250.697
Force per unit length
along vertical edge
70.61
Force per unit length
along bottomedge
So horizontal direct tension on long
wall
70.61
5500
6100
7
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
(2)a.Short wall-ULS
Effective Length lx = mmEffective Height lz = mm
k=lx/lz =
Hence wall is two way span slab.
Water Load Filter Media Load
Maximumwater pressure = 1.4x10x5.85 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =
vm =
hs =
hm =
Mv =flz2
Mh =fl
2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Filter Media Load
Maximumwater pressure = 1.4x10x3.85/3 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =vm =
hs =
hm =
Mv =flz2
Mh =fl2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
81.9
17.9
21.3
83.2
0.91
0.0300.007
0.033
0.014
7.7
0.91
0.030
0.007
20.0
4.7
18.2
0.014
91.4
55506100
0.91
0.033
Water Load
35.3
5850 3850
8
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
Total Moments
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Direct tension (carried by shortwall).
For horizontal direct tension(or reaction on long wall):
k = ly/l =
w (average) = kN/
2
RHB,Tb.63 R1 = R3 = 1/2k(1-1/4k)wlx2
=
R2 = =
R4 = 1/4k2wlx
2=
= kN/m
= kN/m
= kN/m
1.88
49.9
0
1635.5
925
Force per unit length
along vertical edge
151.62
So horizontal direct tension on
short wall
151.62
Force per unit length
along bottomedge
143
111.4
26.0
101.4
43.0
11450
6100
9
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
(2)b.Short wall-SLS
Effective Length lx = mmEffective Height lz = mm
k=lx/lz =
Hence wall is two way span slab.
Water Load Filter Media Load
Maximumwater pressure = 1.0x10x5.35 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =
vm =
hs =
hm =
Mv =flz2
Mh =fl2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Filter Media Load
Maximumwater pressure = 1.0x10x3.85/3 = kN/2
k =
RHB,Tb.53 Top edge unsupported & = 0.2
vs =
vm =hs =
hm =
Mv =flz2
Mh =fl2
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
0.012
79.6
0.027
Water Load
53.5
0.91
0.040
0.012
0.012
19.1
55506100
0.91
23.9
53.7
23.9
12.8
0.91
0.040
0.0120.027
5.7
45.3
20.1
5350 3850
10
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
Total Moments
Mvs = kNm/m
Mvm = kNm/m
Mhs = kNm/m
Mhm = kNm/m
Direct tension (carried by short wall).
For horizontal direct tension(or reaction on long wall):
k = ly/l =
w (average) = kN/
2
RHB,Tb.63 R1 = R3 = 1/2k(1-1/4k)wlx2
=
R2 = =
R4 = 1/4k2wlx
2=
= kN/m
= kN/m
= kN/m
Force per unit length
along bottomedge
94.9
1.88
33.2614
0
1086.51
98.7
100.725
29.6
99.1
44.0
So horizontal direct tension on
short wall
100.725
Force per unit length
along vertical edge
11450
6100
11
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
(3)a.Base slab-ULS
Weight of the walls =
= kN
Pressure on base = 8580/(15.5x12.7) =
Ly = m
L = m
Ly/Lx =
Base slab is one way.
Tb.3.13 M = 0.086FL = kNm
V = 0.6F = kN
= kN/m
= kN/m
ULS moment:
Short span-
Moment at mid span = kNm/m
Moment at support = kNm/m
Long span-
Moment at mid span = kNm/m
Moment at support = kNm/m
(3)b.Base slab-SLS
Weight of the walls =
=
Pressure on base = 6128/(15.5x12.7) =
Ly = m
L = m
8580
11.45
5.55
2.1
20.7
26
297.1
111.4
0.0
31.1
5.55
6128
11.5
24x0.45x[(11.45x3+11.2x2)x5.85+
(5.6x4+2x3)x6.85]+24x0.25x(1.85x2+6.7)x2.5
+24x0.3x7x2+10x6.4x1.7x1.7
20.7
So direct tension in long direction
of base slab
68.6
1.4{24x0.45x[(11.45x3+11.2x2)x5.85+
(5.6x4+2x3)x6.85]+24x0.25x(1.85x2+6.7)x2.5
+24x0.3x7x2+10x6.4x1.7x1.7}
So direct tension in short direction
of base slab
143
43.6
12
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Reference Calculations Output
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
Ly/Lx =Base slab is one way.
Tb.3.13 M = 0.086FL =
V = 0.6F = kN
SLS moment:
Short span-
Moment at mid span = kNm/m
Moment at support = kNm/m
Long span-
Moment at mid span = kNm/m
Moment at support = kNm/m
= kN/m
= kN/m
45.6So direct tension in long direction
of base slab
98.7
14.7
2.1
14.7
18.6
So direct tension in short direction
of base slab
94.9
0
197.4
kNm
13
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4. REINFORCEMENT DESIGN
14
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Design Data:
Material Properties
Characteristic strength of concrete fcu = N/m2
Characteristic strength of steel fy = N/m2
Tb.7.2 Young's modulus of concrete Ec = N/m2
BS8110 Young's modulus of steel Es = N/mm2
Density of water, w = kN/3
Density of concrete, ct = kN/3
Soil properties
Density of soil, soil = kN/3
Cohesiveness, C = kN/2
Friction angle, = Degrees
Bearing capacity = kN/ 2
Durability Requirement
Exposure condition - Severe
Clear cover to r/f = mm
Allowable crack width = mm
Thermal Requirement
Fall in temperature between the hydration peak and ambient
T1 = C
Fall in temperature due to seasonal variations
T2 = C
Coefficient of thermal expansion of mature concrete
=o
C
-1
Restraint factor, R =
Sizes
Thickness of Section, h = mm
Reinforcement design width, bt = mm
Vertical reinforcement:
R/F diameter T Bars
R/F spacing
Type of Section =
Vertical Design Bending Moment(ULS) = kNm/m
Vertical Design Bending Moment(SLS) = kNm/m
25
100
197
Wall
460
450
24.0
24
40
20.0
0.0
0.5
2.7E+04
2.0E+05
10.0
30.0
100.0
50.0
0.2
1.0E-05
Reference Calculations Output
35
LONG WALL (Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
1000
297
15
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Reference Calculations Output
LONG WALL (Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
Design shear force at long edge(ULS) = kN/m
As provided (Vertical R/F) = mm2
Effective depth for verticall r/f(d) = mm
1.R/F to carry ULS BM.
Vertical direction:
d = mm
M = kNm
K' = No redistribution.
b = mm
fcu = N/mm
fy = N/mm2
BS. 8110 K = M/(bd2fcu) = < K' Hence no compression r/f is reqd.
Cl.3.4.4.4
Z = d{0.5+(0.25-K/0.9).
}
= mm
As = M/(0.87*fy*Z) = mm/m mm/m
359
2246 2246
297
0.156
1000
35
0.06584
330.5
460
4909
359
143
16
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Reference Calculations Output
LONG WALL (Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
3.R/F to carry SLS BM.
Calculation of crack width due to flexural action:
(without considering effect of compression r/f)
Calculation of crack width due to vertical bending moment:
Ms = kNm
As = mm
h = mm
d = mm
b = mm
= As/bd =
a' = mm
Es = N/m2
Ec = 1/2 x Static Modulus
= N/m2
e = Es/EC =
e =
x/d = e[(1+2/ e)0.5
-1]
=
x = mm
z = d - x/3 = mm
fs=Ms/zAs = N/mm2
fs< 0.8fy Ok
fcb=2Ms/zbx = N/mm fcb< 0.45fcu Ok
1= fs/Es{(h-x)/(d-x)} =
2=bt(h-x)(a'-x)/3EsAs(d-x) =
m=1-2 =
cmin =
acr =
Crack width = w= 3acrm/(1+2*((acr-cmin)/(h-x)) = mm
Allowable crack width = mm
Ok
mm/m
303.308
Crack width due to flexural bending is satisfactory
450
2.03E-01
132.316
7.77
0.00098
1.42E-04
0.01367
2.00E+05
78.8316
0.465
167.076
8.34E-04
66.0
1.4E+04
1.48E+01
0.181
0.2
4909
359
450
1000
197
4909
17
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Reference Calculations Output
LONG WALL (Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
4.R/F to resist shrinkage and thermal movement in immature concrete.
h = mm
b = mm
Cl.2.6.2.3 Minimumsteel ratio in each surface zone is given by,
A.2
Tb. A.1 crit = fct/fy =
= As/(bh') = where h' - depth of surface zone
Type of Section = Wall
Fig. A.1 h't = mm
h'b = mm
As = mm/mper each layer
Minimumsteel area in each surface zone = mm/mper each layer mm/m
Wma = Sma R (T1+T2)
T1 =oC
T2 =oC
=o
CR = (for rigid end restraints)
ver =
Wma /Smax =
A.3 Sma = fct/fb x/2 Steel ratio based on surface zone.
T A.1 fct/fb =
2.2.3.3 Use Wma = mm
Sma = mm
ver = > crit
24.0
1.0E-050.5
0.2
625
0.0134
787.5
788
R/F in controlling crack spacing has to be provided according to Cl. A.3(8007)
40.0
788
3.20E-04
0.67
25
225
0.0035
0.0035
450
1000
225
18
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Reference Calculations Output
LONG WALL (Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
Minimumrequired reinforcement area per ,
Each surface zone Vertically = mm2 mm
5.Summary of R/F Provided:
Vertical R/F provided = T @
Cl.3.5.5 6.Check for ULS shear
a).Shear at horizontal edge of wall = kN/m
b = mm
d = mm
As = mm
Vuls = kN/mv = V/bd
= N/mm2
Cl.3.4.5.2 v < 5 or 0.8(f cu)0.5
Ok
Cl.3.4.5.4 100As/(bd) = < 3
400/d = > 1
=
vc = > v
Hence shear r/f are not required Ok
1.4
0.64423
1.37
1.11
359
143
0.39833
4909
1000
143
3015
100
3015
25
19
7/29/2019 Report on Structural Design Calculation of Roughing Filter
21/56
Reference Calculations Output
LONG WALL (Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
7.Other considerations:
Anchorage Bond
Cl.3.12.8.3 f b fbu
Cl.3.12.8.4 where
fb = Design anchorage bond stress
fbu = Design ultimate anchorage bond stress
fb = Fs/(l) = (0.87f y2/4)/(l) = 0.217f y/l
fbu = (fcu).
= 3 (for tension bars)
a).For vertical r/f
= mm
fy = N/mm2
fb fbu
l mm
Provided anchorage length = mm
Hence ok Ok
25
460
844
1250
20
7/29/2019 Report on Structural Design Calculation of Roughing Filter
22/56
Design Data:
Material Properties
Characteristic strength of concrete fcu = N/m2
Characteristic strength of steel fy = N/m2
Tb.7.2 Young's modulus of concrete Ec = N/m2
BS8110 Young's modulus of steel Es = N/mm2
Density of water, w = kN/3
Density of concrete, ct = kN/3
Soil properties
Density of soil, soil = kN/3
Cohesiveness, C = kN/2
Friction angle, = Degrees
Bearing capacity = kN/ 2
Durability Requirement
Exposure condition - Severe
Clear cover to r/f = mm
Allowable crack width = mm
Thermal Requirement
Fall in temperature between the hydration peak and ambient
T1 = C
Fall in temperature due to seasonal variations
T2 = C
Coefficient of thermal expansion of mature concrete
=o
C
-1
Restraint factor, R =
Sizes
Thickness of Section, h = mm
Reinforcement design width, bt = mm
Horizontal reinforcement:
R/F diameter T Bars
R/F spacing
Type of Section =
Horizontal Design Bending Moment(ULS) = kNm/m
Horizontal Design Bending Moment(SLS) = kNm/m
Horizontal direct tension(ULS) = kN/m
Horizontal direct tension(SLS) = kN/m
113
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
125
Reference Calculations Output
35.0
LONG WALL (Horizontal R/F)
460.0
450.0
24.0
24.0
40.0
20.0
0.0
0.5
2.7E+04
2.0E+05
10.0
30.0
100.0
50.0
0.2
1.0E-05
1000.0
16
170
106
70
Wall
21
7/29/2019 Report on Structural Design Calculation of Roughing Filter
23/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
LONG WALL (Horizontal R/F)
Design shear force at vertical edge(ULS) = kN/m
As provided (Horizontal R/F) = mm2
Effective depth for horizontal r/f = mm
1.R/F to carry ULS BM.
Horizontal direction:
d = mm
M = kNm
K' = No redistribution.
b = mm
fcu = N/mm
fy = N/mm2
BS. 8110 K = M/(bd2fcu) = < K' Hence no compression r/f is reqd.
Cl.3.4.4.4
Z = d{0.5+(0.25-K/0.9).
}
= mm
As = M/(0.87*fy*Z) = mm/m mm/m
152
1608
392
170
0.156
1000
35
460
0.03161
372.4
1141 1141
392
22
7/29/2019 Report on Structural Design Calculation of Roughing Filter
24/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
LONG WALL (Horizontal R/F)
2.R/F to carry ULS direct tension
Horizontal direction:T = kN/m
fy = N/mm2
As = T/(0.87*fy) = mm/m mm/m
106
460
265 265
23
7/29/2019 Report on Structural Design Calculation of Roughing Filter
25/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
LONG WALL (Horizontal R/F)
3.R/F to carry SLS BM.
For horizontal reinforcement
e= M/Nc = mm
g=h/2 = mm
m=Es/Ec =
d' = mm
d = mm
As' = mm2
As = mm
x = mm
M/(Th) =
0.5(1-2a/h)2
=
M/(Nch) > 0.5(1-2a/h)
Section is under both tension and compression,Hence following equations are valied.
k1=[(e+g)/d -1] =
k2=(x/2d)(1-x/3d) = mm
k3=(m-1)(1-d'/x) = mm
fc = k1Nc/ [k3(1-d'/d)As' + k2bd] =
fs = [fc(k3As' + 0.5bx)+Nc]/ As =
x = d/(1+f s/mfc) =
1= fs/Es{(h-x)/(d-x)} =
2=bt(h-x)(a'-x)/3EsAs(d-x) =
m=1-2 =
cmin =acr =
fcb< 0.45fcu
fs< 0.8fy
Crack width = w= 3acr /(1+2*((acr-cmin)/(h-x)) = mm
Allowable crack width = mm
Ok
mm/m
0.275
4.59E-04
8.19E-04
1608
3.59
0.16
0.2
Crack width due to flexural bending is satisfactory
74.896950.0
6.96636
216.048
76
1614.29
225
7.41
58
392
1608
1608
75
3.69206
0.08956
1.45
0.00128
24
7/29/2019 Report on Structural Design Calculation of Roughing Filter
26/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
LONG WALL (Horizontal R/F)
4.R/F to resist shrinkage and thermal movement in immature concrete.
h = mm
b = mm
Cl.2.6.2.3 Minimumsteel ratio in each surface zone is given by,
A.2
Tb. A.1 crit = fct/fy =
= As/(bh') = where h' - depth of surface zone
Type of Section = Wall
Fig. A.1 h't = mm
h'b = mm
As = mm/mper each layer
Minimumsteel area in each surface zone = mm/mper each layer mm/m
Wmax = Smax R (T1+T2)
T1 =oC
T2 =oC
=
o
CR = (for rigid end restraints)
hor =
Wmax/Smax =
A.3 Sma = fct/fb x/2 Steel ratio based on surface zone.
T A.1 fct/fb =
2.2.3.3 Use Wmax = mm
Sma = mm
hor = > crit0.0086
16
3.20E-04
0.67
0.2
625
40.0
24.0
1.0E-050.5
1000
788
0.0035
0.0035
R/F in controlling crack spacing has to be provided according to Cl. A.3(8007)
225
225
787.5
788
450
25
7/29/2019 Report on Structural Design Calculation of Roughing Filter
27/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
LONG WALL (Horizontal R/F)
Minimumrequired reinforcement area per ,
Each surface zone Horizontally = mm2/m mm
2/m
5.Summary of R/F Provided:
Cl.3.5.5 6.Check for ULS shear
Shear at short edge of wall = kN/m
b = mm
d = mm
As = mm
Vuls = kN/mv = V/bd
= N/mm2
Cl.3.4.5.2 v < 5 or 0.8(f cu)0.5
Ok
Cl.3.4.5.4 100As/(bd) = < 3
400/d = > 1
m =
vc = > v
Hence shear r/f are not required Ok
152
1000
1.46
0.42881
19301930
0.49
1.02
392
1930
152
0.38776
26
Horizontal R/F provided = T 16 @ 100
7/29/2019 Report on Structural Design Calculation of Roughing Filter
28/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
LONG WALL (Horizontal R/F)
7.Other considerations:
Anchorage Bond
Cl.3.12.8.3 f b fbu
Cl.3.12.8.4 where
fb = Design anchorage bond stress
fbu = Design ultimate anchorage bond stress
fb = Fs/(l) = (0.87f y2/4)/(l) = 0.217f y/l
fbu = (fcu).
= 3 (for tension bars)
b).For long span r/f
= mm
fy = N/mm
fb fbu
l mm
Provided anchorage length = mm
Hence ok Ok
460
540
800
16
27
7/29/2019 Report on Structural Design Calculation of Roughing Filter
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Design Data:
Material Properties
Characteristic strength of concrete fcu = N/m2
Characteristic strength of steel fy = N/m2
Tb.7.2 Young's modulus of concrete Ec = N/m2
BS8110 Young's modulus of steel Es = N/mm2
Density of water, w = kN/3
Density of concrete, ct = kN/3
Soil properties
Density of soil, soil = kN/3
Cohesiveness, C = kN/2
Friction angle, = Degrees
Bearing capacity = kN/ 2
Durability Requirement
Exposure condition - Severe
Clear cover to r/f = mm
Allowable crack width = mm
Thermal Requirement
Fall in temperature between the hydration peak and ambient
T1 = C
Fall in temperature due to seasonal variations
T2 = C
Coefficient of thermal expansion of mature concrete
=o
C
-1
Restraint factor, R =
Sizes
Thickness of Section, h = mm
Reinforcement design width, bt = mm
Vertical reinforcement:
R/F diameter T Bars
R/F spacing
Type of Section =
Vertical Design Bending Moment(ULS) = kNm/m
Vertical Design Bending Moment(SLS) = kNm/m
125
16
111
1000
Reference Calculations
460
450
24.0
24
40
20.0
0.0
0.5
2.7E+04
2.0E+05
10.0
30.0
100.0
50.0
0.2
Output
35
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
1.0E-05
99
Wall
28
7/29/2019 Report on Structural Design Calculation of Roughing Filter
30/56
Reference Calculations Output
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
Design shear force at long edge(ULS) = kN/m
As provided (Vertical R/F) = mm2
Effective depth for verticall r/f(d) = mm
1.R/F to carry ULS BM.
Vertical direction:
d = mm
M = kNm
K' = No redistribution.
b = mm
fcu = N/mm
fy = N/mm2
BS. 8110 K = M/(bd2fcu) = < K' Hence no compression r/f is reqd.
Cl.3.4.4.4
Z = d{0.5+(0.25-K/0.9).
}
= mm
As = M/(0.87*fy*Z) = mm/m mm/m
368
1608
68.6
111
0.156
1000
35
0.02342
349.6
460
368
793 793
29
7/29/2019 Report on Structural Design Calculation of Roughing Filter
31/56
Reference Calculations Output
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
3.R/F to carry SLS BM.
Calculation of crack width due to flexural action:
(without considering effect of compression r/f)
Calculation of crack width due to vertical bending moment:
Ms = kNm
As = mm
h = mm
d = mm
b = mm
= As/bd =
a' = mm
Es = N/m2
Ec = 1/2 x Static Modulus
= N/m2
e = Es/EC =
e =
x/d = e[(1+2/ e)0.5
-1]
=
x = mm
z = d - x/3 = mm
fs=Ms/zAs = N/mm2
fs< 0.8fy Ok
fcb=2Ms/zbx = N/mm fcb< 0.45fcu Ok
1= fs/Es{(h-x)/(d-x)} =
2=bt(h-x)(a'-x)/3EsAs(d-x) =
m=1-2 =
cmin =
acr =
6.48E-02
185.896
5.40
0.00123
4.64E-04
0.00437
2.00E+05
87.1031
0.301
110.73
7.62E-04
66.0
331.09
450
1.4E+04
1.48E+01
1608
368
450
1000
99
30
7/29/2019 Report on Structural Design Calculation of Roughing Filter
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Reference Calculations Output
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
Crack width = w= 3acrm/(1+2*((acr-cmin)/(h-x)) = mm
Allowable crack width = mmOk
mm2/m
Crack width due to flexural bending is satisfactory
0.177
0.2
1608
31
7/29/2019 Report on Structural Design Calculation of Roughing Filter
33/56
Reference Calculations Output
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
4.R/F to resist shrinkage and thermal movement in immature concrete.
h = mm
b = mm
Cl.2.6.2.3 Minimumsteel ratio in each surface zone is given by,
A.2
Tb. A.1 crit = fct/fy =
= As/(bh') = where h' - depth of surface zone
Type of Section = Wall
Fig. A.1 h't = mm
h'b = mm
As = mm/mper each layer
Minimumsteel area in each surface zone = mm/mper each layer mm/m
Wma = Sma R (T1+T2)
T1 =oC
T2 =oC
=o
CR = (for rigid end restraints)
ver =
Wma /Smax =
A.3 Sma = fct/fb x/2 Steel ratio based on surface zone.
T A.1 fct/fb =
2.2.3.3 Use Wma = mm
Sma = mm
ver = > crit
3.20E-04
0.67
16
225
0.0035
0.0035
225
450
1000
0.2
625
0.0086
787.5
788
R/F in controlling crack spacing has to be provided according to Cl. A.3(8007)
40.0
24.0
1.0E-050.5
788
32
7/29/2019 Report on Structural Design Calculation of Roughing Filter
34/56
Reference Calculations Output
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
Minimumrequired reinforcement area per ,
Each surface zone Vertically = mm2 mm
5.Summary of R/F Provided:
Cl.3.5.5 6.Check for ULS shear
a).Shear at horizontal edge of wall = kN/m
b = mm
d = mm
As = mm
Vuls = kN/mv = V/bd
= N/mm2
Cl.3.4.5.2 v < 5 or 0.8(f cu)0.5
Ok
Cl.3.4.5.4 100As/(bd) = < 3
400/d = > 1
=
vc = > v
Hence shear r/f are not required Ok
368
68.6
0.18641
1608
1000
68.6
0.44
1.09
1.4
0.43778
19301930
33
Vertical R/F provided = T 16 @ 100
7/29/2019 Report on Structural Design Calculation of Roughing Filter
35/56
Reference Calculations Output
Short Wall(Vertical R/F)
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILINOCHCHI
WATER SUPPLY SCHEME
5/29/2012
7.Other considerations:
Anchorage Bond
Cl.3.12.8.3 f b fbu
Cl.3.12.8.4 where
fb = Design anchorage bond stress
fbu = Design ultimate anchorage bond stress
fb = Fs/(l) = (0.87f y2/4)/(l) = 0.217f y/l
fbu = (fcu).
= 3 (for tension bars)
a).For vertical r/f
= mm
fy = N/mm2
fb fbu
l mm
Provided anchorage length = mm
Hence ok Ok
800
16
460
540
34
7/29/2019 Report on Structural Design Calculation of Roughing Filter
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Design Data:
Material Properties
Characteristic strength of concrete fcu = N/m2
Characteristic strength of steel fy = N/m2
Tb.7.2 Young's modulus of concrete Ec = N/m2
BS8110 Young's modulus of steel Es = N/mm2
Density of water, w = kN/3
Density of concrete, ct = kN/3
Soil properties
Density of soil, soil = kN/3
Cohesiveness, C = kN/2
Friction angle, = Degrees
Bearing capacity = kN/ 2
Durability Requirement
Exposure condition - Severe
Clear cover to r/f = mm
Allowable crack width = mm
Thermal Requirement
Fall in temperature between the hydration peak and ambient
T1 = C
Fall in temperature due to seasonal variations
T2 = C
Coefficient of thermal expansion of mature concrete
=o
C
-1
Restraint factor, R =
Sizes
Thickness of Section, h = mm
Reinforcement design width, bt = mm
Horizontal reinforcement:
R/F diameter T Bars
R/F spacing
Type of Section =
Horizontal Design Bending Moment(ULS) = kNm/m
Horizontal Design Bending Moment(SLS) = kNm/m
Horizontal direct tension(ULS) = kN/m
Horizontal direct tension(SLS) = kN/m
113
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
125
Reference Calculations Output
35.0
Short Wall(Horizontal R/F)
460.0
450.0
24.0
24.0
40.0
20.0
0.0
0.5
2.7E+04
2.0E+05
10.0
30.0
100.0
50.0
0.2
1.0E-05
1000.0
16
170
152
100
Wall
35
7/29/2019 Report on Structural Design Calculation of Roughing Filter
37/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
Short Wall(Horizontal R/F)
Design shear force at vertical edge(ULS) = kN/m
As provided (Horizontal R/F) = mm2
Effective depth for horizontal r/f = mm
1.R/F to carry ULS BM.
Horizontal direction:
d = mm
M = kNm
K' = No redistribution.
b = mm
fcu = N/mm
fy = N/mm2
BS. 8110 K = M/(bd2fcu) = < K' Hence no compression r/f is reqd.
Cl.3.4.4.4
Z = d{0.5+(0.25-K/0.9).
}
= mm
As = M/(0.87*fy*Z) = mm/m mm/m
106
1608
392
170
0.156
1000
35
460
0.03161
372.4
1141 1141
392
36
7/29/2019 Report on Structural Design Calculation of Roughing Filter
38/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
Short Wall(Horizontal R/F)
2.R/F to carry ULS direct tension
Horizontal direction:T = kN/m
fy = N/mm2
As = T/(0.87*fy) = mm/m mm/m
152
460
380 380
37
7/29/2019 Report on Structural Design Calculation of Roughing Filter
39/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
Short Wall(Horizontal R/F)
3.R/F to carry SLS BM.
For horizontal reinforcement
e= M/Nc = mm
g=h/2 = mm
m=Es/Ec =
d' = mm
d = mm
As' = mm2
As = mm2
x = mm
M/(NcT) =
0.5(1-2a/h)2
=
M/(Nch) > 0.5(1-2a/h)
Section is under both tension and compression,Hence following equations are valied.
k1=[(e+g)/d -1] = mm
k2=(x/2d)(1-x/3d) = mm
k3=(m-1)(1-d'/x) = mm
fc = k1Nc/ [k3(1-d'/d)As' + k2bd] =
fs = [fc(k3As' + 0.5bx)+Nc]/ As =
x = d/(1+f s/mfc) =
1= fs/Es{(h-x)/(d-x)} =
2=bt(h-x)(a'-x)/3EsAs(d-x) =
m=1-2 =
cmin =acr =
fcb< 0.45fcu
fs< 0.8fy
Crack width = w= 3acr /(1+2*((acr-cmin)/(h-x)) = mm
Allowable crack width = mm
Ok
mm/m
4.63E-04
8.71E-04
1608
2.51
0.28
0.172853
0.2
Crack width due to flexural bending is satisfactory
74.896950.0
6.81666
225.828
72
1130
225
7.41
58
392
1608
1608
73
2.45663
0.08733
1.32
0.00133
38
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
Short Wall(Horizontal R/F)
4.R/F to resist shrinkage and thermal movement in immature concrete.
h = mm
b = mm
Cl.2.6.2.3 Minimumsteel ratio in each surface zone is given by,
A.2
Tb. A.1 crit = fct/fy =
= As/(bh') = where h' - depth of surface zone
Type of Section = Wall
Fig. A.1 h't = mm
h'b = mm
As = mm/mper each layer
Minimumsteel area in each surface zone = mm/mper each layer mm/m
Wmax = Smax R (T1+T2)
T1 =oC
T2 =oC
=
o
CR = (for rigid end restraints)
hor =
Wmax/Smax =
A.3 Sma = fct/fb x/2 Steel ratio based on surface zone.
T A.1 fct/fb =
2.2.3.3 Use Wmax = mm
Sma = mm
hor = > crit0.0086
16
3.20E-04
0.67
0.2
625
40.0
24.0
1.0E-050.5
1000
788
0.0035
0.0035
R/F in controlling crack spacing has to be provided according to Cl. A.3(8007)
225
225
787.5
788
450
39
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
Short Wall(Horizontal R/F)
Minimumrequired reinforcement area per ,
Each surface zone Horizontally = mm2/m mm2/m
5.Summary of R/F Provided:
Cl.3.5.5 6.Check for ULS shear
Shear at short edge of wall = kN/m
b = mm
d = mm
As = mm
Vuls = kN/mv = V/bd
= N/mm2
Cl.3.4.5.2 v < 5 or 0.8(f cu)0.5
Ok
Cl.3.4.5.4 100As/(bd) = < 3
400/d = > 1
m =
vc = > v
Hence shear r/f are not required Ok
106
1000
1.46
0.42881
19301930
0.49
1.02
392
1930
106
0.27041
40
Horizontal R/F provided = T 16 @ 100
7/29/2019 Report on Structural Design Calculation of Roughing Filter
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
Short Wall(Horizontal R/F)
7.Other considerations:
Anchorage Bond
Cl.3.12.8.3 f b fbu
Cl.3.12.8.4 where
fb = Design anchorage bond stress
fbu = Design ultimate anchorage bond stress
fb = Fs/(l) = (0.87f y2/4)/(l) = 0.217f y/l
fbu = (fcu).
= 3 (for tension bars)
b).For long span r/f
= mm
fy = N/mm
fb fbu
l mm
Provided anchorage length = mm
Hence ok Ok
460
540
800
16
41
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Design Data:
Material Properties
Characteristic strength of concrete fcu = N/m2
Characteristic strength of steel fy = N/m2
Tb.7.2 Young's modulus of concrete Ec = N/m2
BS8110 Young's modulus of steel Es = N/mm2
Density of water, w = kN/3
Density of concrete, ct = kN/3
Soil properties
Density of soil, soil = kN/3
Cohesiveness, C = kN/2
Friction angle, = Degrees
Bearing capacity = kN/ 2
Durability Requirement
Exposure condition - Severe
Clear cover to r/f = mm
Allowable crack width = mm
Thermal Requirement
Fall in temperature between the hydration peak and ambient
T1 = C
Fall in temperature due to seasonal variations
T2 = C
Coefficient of thermal expansion of mature concrete
=o
C
-1
Restraint factor, R =
Sizes
Thickness of Section, h = mm
Reinforcement design width, bt = mm
Long span reinforcement:
R/F diameter T Bars
R/F spacing
Short span reinforcement:
R/F diameter T Bars
R/F spacing
Type of Section =
Short Span Design Bending Moment(ULS) = kNm/m
Short Span Design Bending Moment(SLS) = kNm/m
Short span direct tension force(ULS) = kN/m
Short span direct tension force(SLS) = kN/m
100
1000.0
16
297
116
77
Base Slab
460.0
500.0
24.0
24.0
34.0
20.0
0.0
0.5
2.7E+04
2.0E+05
10.0
30.0
100.0
50.0
0.2
1.0E-05
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
35.0
20
100
197
42
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
Design shear force at long edge(ULS) = kN/m
As provided (short Span) = mm
Effective depth for short span r/f = mm
1.R/F to carry ULS BM.
Short span direction:
d = mm
M = kNm
K' = No redistribution.
b = mm
fcu = N/mm2
fy = N/mm
BS. 8110 K = M/(bd2fcu) = < K' Hence no compression r/f is reqd.
Cl.3.4.4.4
Z = d{0.5+(0.25-K/0.9)0.5
}
= mm
As = M/(0.87*fy*Z) = mm2/m mm
2/m
2.R/F to carry ULS direct tension
Short span direction:
T = kN/m
fy = N/mm2
As = T/(0.87*fy) = mm/m mm/m
26
414
460
0.04951
389.8
1904 1904
116
460
290 290
414
3142
297
0.156
1000
35
43
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
3.R/F to carry SLS BM.
Calculation of crack width due to combined tension and bending
Uniaxial bending and tension.
For short span reinforcement:
e= M/Nc = mm
g=h/2 = mm
m=Es/Ec =
d' = mm
d = mm
As' = mm2
As = mm
x = mm
M/(Th) =
0.5(1-2a/h)2
=
M/(Th) > 0.5(1-2a/h)
Section is under both tension and compression,Hence following equations are valied.
k1=[(e+g)/d -1] = mm
k2=(x/2d)(1-x/3d) = mm
k3=(m-1)(1-d'/x) = mm
fc = k1Nc/ [k3(1-d'/d)As' + k2bd] =
fs = [fc(k3As' + 0.5bx)+Nc]/ As =
x = d/(1+f s/mfc) =
1= fs/Es{(h-x)/(d-x)} =
2=bt(h-x)(a'-x)/3EsAs(d-x) =
m=1-2 =
cmin =acr =
106
2558.44
250
7.41
76
414
3142
8.38248
5.78
0.11709
1.81
181.127
3142
Following Eq's are
valied
106
5.12
0.24
0.00116
2.68E-04
8.91E-04
66.079.4786
44
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
fcb< 0.45fcu
fs< 0.8fyCrack width = w= 3acr /(1+2*((acr-cmin)/(h-x)) = mm
Allowable crack width = mm
Ok
mm2/m
Crack width due to flexural bending is satisfactory
3142
0.199
0.2
45
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
4.R/F to resist shrinkage and thermal movement in immature concrete.
h = mm
b = mm
Cl.2.6.2.3 Minimumsteel ratio in each surface zone is given by,
A.2
Tb. A.1 crit = fct/fy =
= As/(bh') = where h' - depth of surface zone
Type of Section = Base Slab
Fig. A.1 h't = mm
h'b = mm
As = mm/mper each layer
Minimumsteel area in each surface zone = mm/mper each layer mm/m
Wmax = Smax R (T1+T2)
T1 =oC
T2 =oC
=
o
CR = (for rigid end restraints)
short =
long =
Wmax/Smax =
A.3 Sma = fct/fb x/2 Steel ratio based on surface zone.
T A.1 fct/fb =
2.2.3.3 Use Wmax = mm
Sma = mm
short = > crit
long = > crit
0.0097
0.67
0.2
690
1000
0.0035
0.0035
500
34.0
24.0
R/F in controlling crack spacing has to be provided according to Cl. A.3(8007)
875
250
100
875
875
16
2.90E-04
1.0E-050.5
20
0.0078
46
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
Minimumrequired reinforcement area per ,
Top surface zone in short span = mm/m mm/m
5.Summary of R/F Provided:
Short span R/F provided = T @
Cl.3.5.5 6.Check for ULS shear
a).Shear at long edge of wall = kN/m
b = mm
d = mm
As = mm
Vuls = kN/mv = V/bd
= N/mm2
Cl.3.4.5.2 v < 5 or 0.8(f cu)0.5
Ok
Cl.3.4.5.4 100As/(bd) = < 3
400/d = > 1
m =
vc = > v
Hence shear r/f are not required Ok
20 100
26
1.4
0.5153
1000
414
3142
26
0.0628
0.76
1
19431943
47
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED CHECKED
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/30/2012
BASE SLAB(Top R/F)-
Short Direction
Reference Calculations Output
7.Other considerations:
Anchorage Bond
Cl.3.12.8.3 f b fbu
Cl.3.12.8.4 where
fb = Design anchorage bond stress
fbu = Design ultimate anchorage bond stress
fb = Fs/(l) = (0.87f y2/4)/(l) = 0.217f y/l
fbu = (fcu).
= 3 (for tension bars)
a).For short span r/f
= mm
fy = N/mm2
fb fbu
l mm
Provided anchorage length = mm
Hence ok Ok
20
460
675
1000
48
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Design Data:
Material Properties
Characteristic strength of concrete fcu = N/m2
Characteristic strength of steel fy = N/m2
Tb.7.2 Young's modulus of concrete Ec = N/m2
BS8110 Young's modulus of steel Es = N/mm2
Density of water, w = kN/3
Density of concrete, ct = kN/3
Soil properties
Density of soil, soil = kN/3
Cohesiveness, C = kN/2
Friction angle, = Degrees
Bearing capacity = kN/ 2
Durability Requirement
Exposure condition - Severe
Clear cover to r/f = mm
Allowable crack width = mm
Thermal Requirement
Fall in temperature between the hydration peak and ambient
T1 = C
Fall in temperature due to seasonal variations
T2 = C
Coefficient of thermal expansion of mature concrete
=o
C
-1
Restraint factor, R =
Sizes
Thickness of Section, h = mm
Reinforcement design width, bt = mm
Long span reinforcement:
R/F diameter T Bars
R/F spacing
Type of Section =
Long Span Design Bending Moment(ULS) = kNm/m
Long Span Design Bending Moment(SLS) = kNm/m
Long span direct tension(ULS) = kN/m
Long span direct tension(SLS) = kN/m
99
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
35.0
BASE SLAB(Top R/F)-
Long Direction
460.0
500.0
24.0
24.0
34.0
20.0
0.0
0.5
2.7E+04
2.0E+05
10.0
30.0
100.0
50.0
0.2
1.0E-05
1000.0
16
111
68
46
200
Base Slab
49
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
BASE SLAB(Top R/F)-
Long Direction
Design shear force at short edge(ULS) = kN/m
As provided (Long Span) = mm2
Effective depth for long span r/f = mm
1.R/F to carry ULS BM.
Long span direction:
d = mm
M = kNm
K' = No redistribution.
b = mm
fcu = N/mm
fy = N/mm2
BS. 8110 K = M/(bd2fcu) = < K' Hence no compression r/f is reqd.
Cl.3.4.4.4
Z = d{0.5+(0.25-K/0.9).
}
= mm
As = M/(0.87*fy*Z) = mm/m mm/m
0
1005
442
111
0.156
1000
35
460
0.01623
419.9
661 661
442
50
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
BASE SLAB(Top R/F)-
Long Direction
2.R/F to carry ULS direct tension
Long span direction:T = kN/m
fy = N/mm2
As = T/(0.87*fy) = mm/m mm/m
68
460
170 170
51
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
BASE SLAB(Top R/F)-
Long Direction
3.R/F to carry SLS BM.
For long span reinforcement:
e= M/Nc = mm
g=h/2 = mm
m=Es/Ec =
d' = mm
d = mm
As' = mm2
As = mm
x = mm
M/(NcT) =
0.5(1-2a/h)2
=
M/(Nch) > 0.5(1-2a/h)
Section is under both tension and compression,Hence following equations are valied.
k1=[(e+g)/d -1] = mm
k2=(x/2d)(1-x/3d) = mm
k3=(m-1)(1-d'/x) = mm
fc = k1Nc/ [k3(1-d'/d)As' + k2bd] =
fs = [fc(k3As' + 0.5bx)+Nc]/ As =
x = d/(1+f s/mfc) =
1= fs/Es{(h-x)/(d-x)} =
2=bt(h-x)(a'-x)/3EsAs(d-x) =
m=1-2 =
cmin =acr =
fcb< 0.45fcu
fs< 0.8fy
cr cr min
Allowable crack width = mm
Ok
mm/m
0.0015
8.29E-04
6.72E-04
1005
4.30
0.29
0.2
Crack width due to flexural bending is satisfactory
103.817
2152.17
250
50.0
6.26554
259.937
67
7.41
58
442
1005
1005
67
4.43478
0.07196
0.86
Crack width = w= 3a /(1+2*((a -c )/(h-x)) = 0.17 mm
52
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
BASE SLAB(Top R/F)-
Long Direction
4.R/F to resist shrinkage and thermal movement in immature concrete.
h = mm
b = mm
Cl.2.6.2.3 Minimumsteel ratio in each surface zone is given by,
A.2
Tb. A.1 crit = fct/fy =
= As/(bh') = where h' - depth of surface zone
Type of Section = Base Slab
Fig. A.1 h't = mm
h'b = mm
As = mm/mper each layer
Minimumsteel area in each surface zone = mm/mper each layer mm/m
Wmax = Smax R (T1+T2)
T1 =oC
T2 =oC
=
o
CR = (for rigid end restraints)
long =
Wmax/Smax =
A.3 Sma = fct/fb x/2 Steel ratio based on surface zone.
T A.1 fct/fb =
2.2.3.3 Use Wmax = mm
Sma = mm
long = > crit0.0078
16
2.90E-04
0.67
0.2
690
34.0
24.0
1.0E-050.5
1000
500
875
0.0035
0.0035
R/F in controlling crack spacing has to be provided according to Cl. A.3(8007)
250
100
875
875
53
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REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
BASE SLAB(Top R/F)-
Long Direction
Minimumrequired reinforcement area per ,
Top surface zone in long span = mm2/m mm
2/m
5.Summary of R/F Provided:
Cl.3.5.5 6.Check for ULS shear
Shear at short edge of wall = kN/m
b = mm
d = mm
As = mm
Vuls = kN/mv = V/bd
= N/mm2
Cl.3.4.5.2 v < 5 or 0.8(f cu)0.5
Ok
Cl.3.4.5.4 100As/(bd) = < 3
400/d = > 1
m =
vc = > v
Hence shear r/f are not required Ok
0
1000
1.38
0.43373
19431943
0.44
1
442
1943
0
0
54
Long span R/F provided = T 16 @ 100
7/29/2019 Report on Structural Design Calculation of Roughing Filter
56/56
REF.
NO.
INFRASTRUCTURE &ENVIRONMENTAL
ENGINEERS AND PLANNERS
STRUCTURE ROUGHING FILTER
DATE
COMPONENT
DESIGNED NR CHECKED PWDS
CEYWATER CONSULTANT (PVT) LTD. PROJECTREHABILITATION OF KILLINOCHCHI
WATER S/S
5/29/2012
Reference Calculations Output
BASE SLAB(Top R/F)-
Long Direction
7.Other considerations:
Anchorage Bond
Cl.3.12.8.3 f b fbu
Cl.3.12.8.4 where
fb = Design anchorage bond stress
fbu = Design ultimate anchorage bond stress
fb = Fs/(l) = (0.87f y2/4)/(l) = 0.217f y/l
fbu = (fcu).
= 3 (for tension bars)
b).For long span r/f
= mm
fy = N/mm
fb fbu
l mm
Provided anchorage length = mm
Hence ok Ok
460
540
800
16