Project: Verdun Trianon Link Road Element: Box Culvert at Chainage 83.10 m- Chainage 35.46 to 49.4 m Job No.: M 133 Date: 6-Jun-22 Page No.: 1 Made by: RN Checked by: HKM Approved by: HKM Culvert Details Road Level Vertical Stress 4.1 27.93 5 5 5 5 Soil Parameters 99.97 18 20 Unit weight of water= 9.81 Internal Friction angle,φ(°) = 30 Height of water table(m)= 5 10 Coefficient of active pressure, ka= 0.33 27.93 99.97 25 Assuming 50 mm thick surfacing layer Depth of soil retained by Upper Slab(m)= 4.1 23 74.95 Culvert width (m)= 5 Culvert depth(m)= 5 Thickness of wall (mm)= 500 Thickness of Upper Slab (m)= 500 Thickness of base Slab(mm)= 500 BS 5400 PART 2:2006 /01 Part 14 - Clause 3.2.9.3.1 -Notional lane width (m)= 2.5 Loaded length of Box Culvert, L(m)= 10.5 Note that the loaded length will be the width of the Box Culvert (a) Calculation of HA UDL HA UDL per m of loaded length (k N/m)= 336 (1/L)^0.67 = 69.5 Knife Edge Load(KEL) per notional lane(k N)= 120 0.685 (For loaded length 0<L(m)<20) For a metre width of deck, Ha (kN/m) = 19.0 For a metre width of deck , KEL (k N)= 32.88 (b) Calculation of HB Load BD 37 Chapter 4 Class of Road carried by structure= Number of Units for Hb load (k N)= 45 Nominal Load per axle (k N)= 450 Nominal Load per wheel (k N)= 112.5 Soil Reaction Length of Culvert (m)= 16.2 Width of Culvert (m)= 11.5 Height of Culvert (m)= 6 186.3 Culvert Load Total Weight of Box Culvert (k N)= 7695 Hb load Hb load (k N)= 1259 Soil Cover Load Soil Cover Load (kN)= 13963.19 Beam Load Perimeter Beam Breadth (mm) = 900 Depth (mm)= 1000 (inclusive of Base 500 mm) Beam Load (k N)= 182.25 Central Beam Breadth(mm)= 1000 Depth (mm)= 1000 (inclusive of Base 500 mm) Beam Load (k N)= 202.5 Total Load in k N= 23301 Unit Weight of Soil unsaturated ,γ(k N/m 3 )= Unit Weight of Soil saturated ,γsat(k N/m 3 )= BS 8002 :1994 Clause 3.3.4.1 Surcharge due to vehicular Traffic (k N/m 2 )= Lateral Pressure at top of wall (kN/m 2 )= Lateral Pressure at bottom of wall (kN/m 2 )= Unit weight of concrete (k N/m 3 )= Unit weight of surfacing layer (k N/m 3 )= Load per m 2 of soil on upper slab (k N/m 2 )= Clause 6.2 Type HA Loading BD 37 Part 14 Table 14 -HA Lane Factors First Lane load Factor, β1 = 0.274bl= Clause 6.3 Type HB Loading Motorways and Trunk Roads Area of Culvert in Contact with Earth (m 2 ) = Soil Above
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Project: Verdun Trianon Link RoadElement: Box Culvert at Chainage 83.10 m- Chainage 35.46 to 49.4 mJob No.: M 133 Date: 7-Apr-23 Page No.: 1
Made by: RN Checked by: HKM Approved by: HKMCulvert Details
Road LevelVertical Stress
4.127.93
5 55
5
Soil Parameters 99.97
18
20
Unit weight of water= 9.81
Internal Friction angle,φ(°) = 30
Height of water table(m)= 5
10Coefficient of active pressure, ka= 0.33
27.9399.9725
Assuming 50 mm thick surfacing layer Depth of soil retained by Upper Slab(m)= 4.1
2374.95
Culvert width (m)= 5Culvert depth(m)= 5
Thickness of wall (mm)= 500Thickness of Upper Slab (m)= 500Thickness of base Slab(mm)= 500
BS 5400 PART 2:2006BD 37/01 Part 14 - Clause 3.2.9.3.1 -Notional lane width (m)= 2.5
Loaded length of Box Culvert, L(m)= 10.5
Note that the loaded length will be the width of the Box Culvert
(a) Calculation of HA UDLHA UDL per m of loaded length (k N/m)= 336 (1/L)^0.67 = 69.5
Knife Edge Load(KEL) per notional lane(k N)= 1200.685
(For loaded length 0<L(m)<20)For a metre width of deck, Ha (kN/m) = 19.0
For a metre width of deck , KEL (k N)= 32.88
(b) Calculation of HB Load
BD 37 Chapter 4
Class of Road carried by structure=
Number of Units for Hb load (k N)= 45Nominal Load per axle (k N)= 450
Nominal Load per wheel (k N)= 112.5
Soil ReactionLength of Culvert (m)= 16.2Width of Culvert (m)= 11.5Height of Culvert (m)= 6
186.3Culvert Load
Total Weight of Box Culvert (k N)= 7695Hb load
Hb load (k N)= 1259Soil Cover Load
Soil Cover Load (kN)= 13963.19Beam Load
Perimeter BeamBreadth (mm) = 900
Depth (mm)= 1000 (inclusive of Base 500 mm)Beam Load (k N)= 182.25
Central BeamBreadth(mm)= 1000
Depth (mm)= 1000 (inclusive of Base 500 mm)Beam Load (k N)= 202.5
Total Load in k N= 23301
Unit Weight of Soil unsaturated ,γ(k N/m3)=
Unit Weight of Soil saturated ,γsat(k N/m3)=
BS 8002 :1994 Clause 3.3.4.1
Surcharge due to vehicular Traffic (k N/m2)=
Lateral Pressure at top of wall (kN/m2)= Lateral Pressure at bottom of wall (kN/m2)=
Unit weight of concrete (k N/m3)=
Unit weight of surfacing layer (k N/m3)=Load per m2 of soil on upper slab (k N/m2)=
Clause 6.2 Type HA Loading
BD 37 Part 14 Table 14 -HA Lane Factors
First Lane load Factor, β1 = 0.274bl=
Clause 6.3 Type HB Loading
Motorways and Trunk Roads
Area of Culvert in Contact with Earth (m2) =
Soil Above
125Pressure on Base of Culvert (k N/m2)=
Project: Verdun Trianon Link RoadElement: Box Culvert at Chainage 83.10 m- Chainage 35.46 to 49.4 mJob No.: M 133 Date: 7-Apr-23 Page No.: 2
Made by: RN Checked by: HKM Approved by: HKM
Dispersal of Wheel loads
BS 5400 Part 2 2006Clause 6.26
The effect of the Vertical load is calculated using Boussineq's equatiion:
CULVERT112.5 kN
4.10
Point Load, Q (kN) = 112.5r= 2.21
Depth of Soil,z(m)= 4.10r/z 0.54
0.252
1.68885119175Assumption
For 4 wheels,σz (kN/m²) = 6.8
Volume 2 Section 2 Part 12BD 31/01 Pg
3/3
For Cover exceeding depth 0.6m, the HAUDL/KEL does not adequately model traffic loading. In these circumstances the HA UDL/KEL combination shall be replaced by 30 Units HB Loading, dispersed through the fill. However, in this case Hb Load = 45 k N, hence for analysis purposes Ha loading has been ignored.
For the Hb vehicle, one unit of Hb corresponds to 2.5 k N per wheel, the side of the square contact area becomes approximately 260mm for 30 units,290 mm for 37.5 Units and 320mm for 45 Units.Therefore use 320 mm as we are designing for motorways.
Volume 2 Section 2 Part 12BD 31/01 Pg
3/5
Dispersal of the single nominal wheel load at a spread to depth ratio of 1 horizontally to 2 Vertically through asphalt and similar surfacing may be assumed ,where it is considered that this may take place.
Influence factor, Ip =
Vertical Stress, σz (kN/m²) =
Joint Dispersal of wheel load on deck of Culvert, therefore multiply vertical stress by 4.