Ballasalla ByPass Bridge

AuthorityDepartment of Infrastructure
Date received2022-09-20
OutcomeAll information sent
Outcome date2022-10-12
Case ID2647085

Summary

A request was made for documents regarding the planning and construction of the Ballasalla Bypass Bridge, specifically concerning weight restrictions, life expectancy, and aesthetic designs. The Department of Infrastructure disclosed all requested information, providing 210 pages of structural calculations and design records.

Key Facts

  • The bridge was designed as a portal frame using the unit width method of analysis.
  • The structure was designed for 30 units of HB loading.
  • The carriageway is 7.3m wide and divided into two notional lanes of 3.65m each.
  • Accidental wheel loads on footways were assessed and found to be less onerous than HA and HB loads.
  • Vertical loads due to centrifugal effects were concluded to be negligible.

Data Disclosed

  • 210
  • 3
  • 2022-09-20
  • 2022-10-12
  • 23 July 2020
  • 2333
  • 30 units
  • 7.3m
  • 3.65m
  • 8m
  • 0.6m
  • July 2017
  • 24/3/20

Original Request

Please provide all documents and records relating to the planning & construction of the Ballasalla Bypass Bridge over the Isle of Man Steam Railway in relation to: - Any weight restriction over the bridge during construction and once complete - The life expectancy of the bridge - The aesthetic designs for the structure at planning and completion.

Data Tables (103)

Section no. [pages] Description Rev Pages Mb
S1 Introduction to structural calculations - 3 1.4
S2 HA UDL, HA KEL and HB live loads, centrifugal effects 19 4.6
S3 Traction / braking live loads 4 1.3
S4 Accidental live load on footways 10 1.6
S5 Dead loads and superimposed dead loads 3 0.6
S6 Horizontal earth pressures and live load surcharge 3 0.6
S7 Water pressure and buoyancy 2 0.4
S8 Load combination diagrams (longitudinal design) Diagram number
Equilibrium checks
1 Sliding check 1 = HA, disturbing earth pressure with Traction [S→N] A-6b-1[HA] 2 1 0.5
2 Sliding check 2 = HA, disturbing earth pressure with Traction [N→S] A-6b-2[HA] 2 1
3 Sliding check 3 = HB, disturbing earth pressure with Traction [S→N] A-6b-3[HB] 2 1
4 Sliding check 4 = HB, disturbing earth pressure with Traction [N→S] A-6b-1[HB] 2 1
5 Bearing pressure check 1 = HA, at-rest earth pressure + LLSC[S] A-7b-1[HA] 2 1 0.4
6 Bearing pressure check 2 = HA, at-rest earth pressure + LLSC[N] A-7b-2[HA] 2 1
7 Bearing pressure check 3 = HB, at-rest earth pressure + LLSC[S] A-7b-3[HB] 2 1
8 Bearing pressure check 4 = HB, at-rest earth pressure + LLSC[N] A-7b-4[HB] 2 1
ULS load combinations
9 Load combination 1.1 = Max vertical HA load with max horiz load. A-1b-1[HA] - 1
10 Load combination 1.2 = Max vertical HB load with max horiz load. A-1b-2[HB] - 1
11 Load combination 1.3 = Min vertical load with max horiz load. A-2b-1[no live load] - 1
12 Load combination 1.4 = Max vertical HA load with min horiz load. A-3b-1[HA] - 1
13 Load combination 1.5 = Max vertical HB load with min horiz load. A-3b-2[HB] - 1
14 Load combination 4.1 = Traction S→N with max vertical HA load A-4b-1-1[HA] - 1
low flow factor: 0.9
impact factor: 1.62
ESTIMATED OVERALL WIDTH (m) SIMPLE EQUIV UDL (kN/m2) SIMPLE EQUIV UDL USING ESTIMATED OVERALL WIDTH including impactor factor and low flow factor (kN/m2)
2.1 17.9 26.0
2.1 14.8 21.6
2.1 15.8 23.0
2.1 16.4 23.9
2.1 15.1 21.9
2.1 14.7 21.4
2.1 14.7 21.4
2.1 14.7 21.5
2.1 14.7 21.5
2.1 15.3 22.3
2.1 15.3 22.3
2.1 13.7 19.9
2.1 13.7 19.9
VEHICLE TYPE COMBINED AXLE LOAD (kN) AXLE WIDTH (m) OVERALL LENGTH (m) SIMPLE EQUIV UDL USING AXLE SPACING (kN/m2)
A 315 1.8 8.4 20.8
B 370 1.8 11.9 17.3
C 394 1.8 11.9 18.4
D1 392 1.8 11.4 19.1
D2 392 1.8 12.4 17.6
E1 392 1.8 12.7 17.1
E2 392 1.8 12.7 17.1
F1 402 1.8 12.98 17.2
F2 402 1.8 12.98 17.2
G1 433 1.8 13.5 17.8
G2 433 1.8 13.5 17.8
H1 432 1.8 15.05 15.9
H2 432 1.8 15.05 15.9
NOTIONAL LANE WIDTH from CS454 Table 5.9a (m) SIMPLE EQUIV UDL (kN/m2) SIMPLE EQUIV UDL USING NOTIONAL LANE WIDTH FROM CS454 Table 5.9a including impactor factor and low flow factor VEHICLE TYPE
3.0 12.5 18.2 A
3.0 10.4 15.1 B
3.0 11.0 16.1 C
3.0 11.5 16.7 D1
3.0 10.5 15.4 D2
3.0 10.3 15.0 E1
3.0 10.3 15.0 E2
3.0 10.3 15.1 F1
3.0 10.3 15.1 F2
3.0 10.7 15.6 G1
3.0 10.7 15.6 G2
3.0 9.6 14.0 H1
3.0 9.6 14.0 H2
Height to top (m) Height to bottom (m) Density (kN/m3) Ko (max) Ko (min) Ka (disturbing) K (restoring) K (max sliding resistance) Max earth pressure at top (kN/m2) Max earth pressure at bottom (kN/m2) Min earth pressure at top (kN/m2) Min earth pressure at bottom (kN/m2) Disturbing earth pressure at top (kN/m2) Disturbing earth pressure at bottom (kN/m2) Restoring earth pressure at top (kN/m2) Restoring earth pressure at bottom (kN/m2) Max sliding resistance at top (kN/m2) Max sliding resistance at bottom (kN/m2)
0.3 5.75 21 0.6 0.2 0.33 0.6 1.5 38 72.5 13 24.2 2.1 39.8 3.8 72.5 9.5 181.1
0.525 5.75 21 0.6 0.2 0.33 0.6 1.5 6.6 72.5 22 24.2 3.6 39.8 6.6 72.5 16.5 181.1
Height to top (m) Height to bottom (m) Density (kN/m3) Ko (max) Ko (min) Ka (disturbing) K (restoring) K (max sliding resistance) Max earth pressure at top (kN/m2) Max earth pressure at bottom (kN/m2) Min earth pressure at top (kN/m2) Min earth pressure at bottom (kN/m2) Disturbing earth pressure at top (kN/m2) Disturbing earth pressure at bottom (kN/m2) Restoring earth pressure at top (kN/m2) Restoring earth pressure at bottom (kN/m2) Max sliding resistance at top (kN/m2) Max sliding resistance at bottom (kN/m2)
0.3 5.55 21 0.6 0.2 0.33 0.6 1.5 38 69.9 13 23.3 2.1 38.5 3.8 69.9 9.5 174.8
LOAD Vsc (kN/m2) K
HA 10 0.6
HB 12 0.6
K (disturbing)
0.33
0.33
Psc (kN/m2)
60
72
Psc (kN/m2)
3.3
4.0
Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333
Calcs for A-7b-1 and 2 supp GBP check: fixed bases. walls equ.7960 Start page no./Revision S11 / 1
Calcs by ATR Calcs date 20/07/2020 Checked by Checked date Approved by Approved date
Name Density (kg/m3) Youngs Modulus kN/mm2 Shear Modulus kN/mm2 Thermal Coefficien °C-1
Concrete (C40/50) 2400 34 12 0.000001
Name Area (cm2) Moment of inertia Major Minor (cm4) (cm4) Shear area A A y z (cm2) (cm2)
R 450 x 1000 4500 3750000 759375 3750 3750
Node Co-ordinates X Z (m) (m) Freedom X Z Rot. Coordinate system Name Angle (°) Spring X Z Rot. (kN/m) (kN/m) kNm/°°
1 0 0 Fixed Fixed Fixed 0 0 0 0
2 0 5.225 Free Free Free 0 0 0 0
3 7.96 0.47 Fixed Fixed Fixed 0 0 0 0
4 7.96 5.695 Free Free Free 0 0 0 0
Element Length (m) Nodes Start End Section Material Releases Start End Axial moment moment Rotated
1 5.225 1 2 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
2 5.225 3 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
3 7.974 2 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333
Calcs for A-7b-1 and 2 supp GBP check: fixed bases. walls equ.7960 Start page no./Revision S11 / 2
Calcs by ATR Calcs date 20/07/2020 Checked by Checked date Approved by Approved date
Name Elements Start End
South abutment 1 1
North abutment 2 2
Deck 3 3
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -121.2 255.6 -73.7
3 89.9 245.9 13.1
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -122 260.9 -76.7
3 90.6 240.7 12.7
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -122 248.9 -72.8
3 90.6 252.6 16.6
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -127.3 270.2 -84.6
3 96 231.3 23.1
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -127.3 239 -83.2
3 96 262.5 24.5
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -89.9 261.1 -13.5
3 121.2 240.4 73.3
Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333
Calcs for A-7b-3 and 4 supp GBP checks: fixed bases. walls equ.7960 Start page no./Revision S11 / 15
Calcs by ATR Calcs date 20/07/2020 Checked by Checked date Approved by Approved date
Name Density (kg/m3) Youngs Modulus kN/mm2 Shear Modulus kN/mm2 Thermal Coefficien °C-1
Concrete (C40/50) 2400 34 12 0.000001
Name Area (cm2) Moment of inertia Major Minor (cm4) (cm4) Shear area A A y z (cm2) (cm2)
R 450 x 1000 4500 3750000 759375 3750 3750
Node Co-ordinates X Z (m) (m) Freedom X Z Rot. Coordinate system Name Angle (°) Spring X Z Rot. (kN/m) (kN/m) kNm/°°
1 0 0 Fixed Fixed Fixed 0 0 0 0
2 0 5.225 Free Free Free 0 0 0 0
3 7.96 0.47 Fixed Fixed Fixed 0 0 0 0
4 7.96 5.695 Free Free Free 0 0 0 0
Element Length (m) Nodes Start End Section Material Releases Start End Axial moment moment Rotated
1 5.225 1 2 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
2 5.225 3 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
3 7.974 2 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333
Calcs for A-7b-3 and 4 supp GBP checks: fixed bases. walls equ.7960 Start page no./Revision S11 / 16
Calcs by ATR Calcs date 20/07/2020 Checked by Checked date Approved by Approved date
Name Elements Start End
South abutment 1 1
North abutment 2 2
Deck 3 3
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -131.6 246.2 -97.4
3 94 190.7 11.6
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -131.6 197.4 -83.7
3 94 239.4 25.2
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -144.8 276.2 -120.4
3 107.2 160.7 34
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -144.8 165.8 -106.1
3 107.2 271 48.2
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -94 252.7 -25.2
3 131.6 184.1 83.9
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -94 203.9 -11.5
3 131.6 232.9 97.5
SUMMARY OF GBP (kN/m2)
SOUTH NORTH
LOAD CASE heel toe toe heel
A-7b-1 HA, LLSC→ 146 157 129 167
A-7b-2 HA, LLSC← 171 135 150 143
A-7b-3 HB, LLSC→ 172 165 133 197
A-7b-4 HB, LLSC← 202 138 159 167
A-7b-5 D+SOIL 128 110 106 127
A-7b-6 D+SOIL+HA 162 142 136 159
A-7b-7 D+SOIL+HB 192 147 142 186
A-7b-3-a HB 0.24 LHS 130 159 99 160
A-7b-3-b HB 0.24 RHS 133 130 128 157
A-7b-3-c HB LHS 123 182 94 150
A-7b-3-d HB RHS 122 125 128 149
A-7b-4-a HB 0.24 LHS 160 132 125 131
A-7b-4-b HB 0.24 RHS 163 104 154 127
A-7b-4-c HB LHS 152 156 120 121
A-7b-4-d HB RHS 152 99 179 119
A-7b-1-a KEL MID 140 153 126 162
A-7b-1-b KEL 1/3 139 157 124 162
A-7b-1-c KEL 2/3 140 150 131 161
A-7b-1-d KEL LHS 137 165 123 157
A-7b-1-e KEL RHS 136 150 139 158
A-7b-2-a KEL MID 165 132 148 137
A-7b-2-b KEL 1/3 164 135 145 137
A-7b-2-c KEL 2/3 165 128 153 136
A-7b-2-d KEL LHS 161 143 145 133
A-7b-2-e KEL RHS 160 128 161 133
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -114.20 273.20 -62.00 82.90 261.20 0.80
Total 583 kN 570 kN
x 1.95 m 1.84 m
e 0.02 m -0.08 m
k 1.04 1.13
GBP max 157 kN/m2 167 kN/m2
GBP min 146 kN/m2 129 kN/m2
146 157 129 167
heel toe toe heel
Frictional resistance, Fr (kN) 252 247
Shading
Shading
Shading
Shading
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -82.90 278.60 -1.80 114.20 255.80 61.10
Total 588 kN 564 kN
x 1.85 m 1.94 m
e -0.08 m 0.02 m
k 1.12 1.03
GBP max 171 kN/m2 150 kN/m2
GBP min 135 kN/m2 143 kN/m2
171 135 150 143
heel toe toe heel
Frictional resistance, Fr (kN) 255 244
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -82.80 338.70 -6.80 45.10 326.20 -65.30
Total 648 kN 635 kN
x 1.91 m 1.80 m
e -0.01 m -0.12 m
k 1.02 1.19
GBP max 172 kN/m2 197 kN/m2
GBP min 165 kN/m2 133 kN/m2
172 165 133 197
heel toe toe heel
Frictional resistance, Fr (kN) 281 275
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -45.10 345.20 65.40 82.80 319.60 6.90
Total 655 kN 628 kN
x 1.81 m 1.91 m
e -0.12 m -0.02 m
k 1.19 1.02
GBP max 202 kN/m2 167 kN/m2
GBP min 138 kN/m2 159 kN/m2
202 138 159 167
heel toe toe heel
Frictional resistance, Fr (kN) 284 272
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -128.90 148.00 -90.00 128.90 138.80 90.10
Total 458 kN 447 kN
x 1.88 m 1.87 m
e -0.05 m -0.06 m
k 1.07 1.09
GBP max 128 kN/m2 127 kN/m2
GBP min 110 kN/m2 106 kN/m2
128 110 106 127
heel toe toe heel
Frictional resistance, Fr (kN) 198 194
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -89.30 275.50 -22.50 89.30 258.90 21.60
Total 585 kN 568 kN
x 1.88 m 1.87 m
e -0.04 m -0.05 m
k 1.07 1.08
GBP max 162 kN/m2 159 kN/m2
GBP min 142 kN/m2 136 kN/m2
162 142 136 159
heel toe toe heel
Frictional resistance, Fr (kN) 253 246
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -52.80 341.50 40.60 52.80 323.30 -40.50
Total 651 kN 632 kN
x 1.84 m 1.84 m
e -0.08 m -0.09 m
k 1.13 1.14
GBP max 192 kN/m2 186 kN/m2
GBP min 147 kN/m2 142 kN/m2
192 147 142 186
heel toe toe heel
Frictional resistance, Fr (kN) 282 274
South abutment [node 1] North abutment [node 3]
A-7b-3-a H V M H V M
Reactions from TEDDS -131.60 246.20 -97.40 94.00 190.70 11.60
Total 556 kN 499 kN
x 1.99 m 1.77 m
e 0.06 m -0.15 m
k 1.10 1.24
GBP max 159 kN/m2 160 kN/m2
GBP min 130 kN/m2 99 kN/m2
130 159 99 160
heel toe toe heel
Frictional resistance, Fr (kN) 241 216
South abutment [node 1] North abutment [node 3]
A-7b-3-b H V M H V M
Reactions from TEDDS -131.60 197.40 -83.70 94.00 239.40 25.20
Total 507 kN 548 kN
x 1.92 m 1.86 m
e -0.01 m -0.06 m
k 1.01 1.10
GBP max 133 kN/m2 157 kN/m2
GBP min 130 kN/m2 128 kN/m2
133 130 128 157
heel toe toe heel
Frictional resistance, Fr (kN) 220 237
South abutment [node 1] North abutment [node 3]
A-7b-3-c H V M H V M
Reactions from TEDDS -144.80 276.20 -120.40 107.20 160.70 34.00
Total 586 kN 469 kN
x 2.05 m 1.78 m
e 0.12 m -0.15 m
k 1.19 1.23
GBP max 182 kN/m2 150 kN/m2
GBP min 123 kN/m2 94 kN/m2
123 182 94 150
heel toe toe heel
Frictional resistance, Fr (kN) 254 203
South abutment [node 1] North abutment [node 3]
A-7b-3-d H V M H V M
Reactions from TEDDS -144.80 165.80 -106.10 107.20 271.00 48.20
Total 476 kN 580 kN
x 1.93 m 1.93 m
e 0.01 m 0.01 m
k 1.01 1.01
GBP max 125 kN/m2 152 kN/m2
GBP min 122 kN/m2 149 kN/m2
122 125 152 149
heel toe toe heel
Frictional resistance, Fr (kN) 206 251
South abutment [node 1] North abutment [node 3]
A-7b-4-a H V M H V M
Reactions from TEDDS -94.00 252.70 -25.20 131.60 184.10 83.90
Total 562 kN 493 kN
x 1.86 m 1.91 m
e -0.06 m -0.01 m
k 1.09 1.02
GBP max 160 kN/m2 131 kN/m2
GBP min 132 kN/m2 125 kN/m2
160 132 125 131
heel toe toe heel
Frictional resistance, Fr (kN) 244 213
South abutment [node 1] North abutment [node 3]
A-7b-4-b H V M H V M
Reactions from TEDDS -94.00 203.90 -11.50 131.60 232.90 97.50
Total 514 kN 542 kN
x 1.78 m 1.99 m
e -0.14 m 0.06 m
k 1.22 1.10
GBP max 163 kN/m2 154 kN/m2
GBP min 104 kN/m2 127 kN/m2
163 104 154 127
heel toe toe heel
Frictional resistance, Fr (kN) 222 235
South abutment [node 1] North abutment [node 3]
A-7b-4-c H V M H V M
Reactions from TEDDS -107.20 282.70 -48.20 144.80 154.10 106.20
Total 592 kN 463 kN
x 1.93 m 1.92 m
e 0.01 m 0.00 m
k 1.01 1.01
GBP max 156 kN/m2 121 kN/m2
GBP min 152 kN/m2 120 kN/m2
152 156 120 121
heel toe toe heel
Frictional resistance, Fr (kN) 257 200
South abutment [node 1] North abutment [node 3]
A-7b-4-d H V M H V M
Reactions from TEDDS -107.20 172.40 -33.80 144.80 264.40 120.40
Total 482 kN 573 kN
x 1.79 m 2.05 m
e -0.14 m 0.13 m
k 1.21 1.20
GBP max 152 kN/m2 179 kN/m2
GBP min 99 kN/m2 119 kN/m2
152 99 179 119
heel toe toe heel
Frictional resistance, Fr (kN) 209 248
South abutment [node 1] North abutment [node 3]
A-7b-1-a H V M H V M
Reactions from TEDDS -121.20 255.60 -73.70 89.90 245.90 13.10
Total 565 kN 555 kN
x 1.95 m 1.85 m
e 0.03 m -0.08 m
k 1.04 1.12
GBP max 153 kN/m2 162 kN/m2
GBP min 140 kN/m2 126 kN/m2
140 153 126 162
heel toe toe heel
Frictional resistance, Fr (kN) 245 240
South abutment [node 1] North abutment [node 3]
A-7b-1-b H V M H V M
Reactions from TEDDS -122.00 260.90 -76.70 90.60 240.70 12.70
Total 571 kN 549 kN
x 1.96 m 1.84 m
e 0.04 m -0.09 m
k 1.06 1.13
GBP max 157 kN/m2 162 kN/m2
GBP min 139 kN/m2 124 kN/m2
139 157 124 162
heel toe toe heel
Frictional resistance, Fr (kN) 247 238
South abutment [node 1] North abutment [node 3]
A-7b-1-c H V M H V M
Reactions from TEDDS -122.00 248.90 -72.80 90.60 252.60 16.60
Total 559 kN 561 kN
x 1.95 m 1.86 m
e 0.02 m -0.07 m
k 1.03 1.10
GBP max 150 kN/m2 161 kN/m2
GBP min 140 kN/m2 131 kN/m2
140 150 131 161
heel toe toe heel
Frictional resistance, Fr (kN) 242 243
South abutment [node 1] North abutment [node 3]
A-7b-1-d H V M H V M
Reactions from TEDDS -127.30 270.20 -84.60 96.00 231.30 23.10
Total 580 kN 540 kN
x 1.98 m 1.85 m
e 0.06 m -0.08 m
k 1.09 1.12
GBP max 165 kN/m2 157 kN/m2
GBP min 137 kN/m2 123 kN/m2
137 165 123 157
heel toe toe heel
Frictional resistance, Fr (kN) 251 234
South abutment [node 1] North abutment [node 3]
A-7b-1-e H V M H V M
Reactions from TEDDS -127.30 239.00 -83.20 96.00 262.50 24.50
Total 549 kN 571 kN
x 1.96 m 1.88 m
e 0.03 m -0.04 m
k 1.05 1.06
GBP max 150 kN/m2 158 kN/m2
GBP min 136 kN/m2 139 kN/m2
136 150 139 158
heel toe toe heel
Frictional resistance, Fr (kN) 238 247
South abutment [node 1] North abutment [node 3]
A-7b-2-a H V M H V M
Reactions from TEDDS -89.90 261.10 -13.50 121.20 240.40 73.30
Total 571 kN 549 kN
x 1.85 m 1.95 m
e -0.07 m 0.02 m
k 1.11 1.04
GBP max 165 kN/m2 148 kN/m2
GBP min 132 kN/m2 137 kN/m2
165 132 148 137
heel toe toe heel
Frictional resistance, Fr (kN) 247 238
South abutment [node 1] North abutment [node 3]
A-7b-2-b H V M H V M
Reactions from TEDDS -90.60 266.30 -16.50 122.00 235.20 72.90
Total 576 kN 544 kN
x 1.86 m 1.94 m
e -0.06 m 0.02 m
k 1.10 1.03
GBP max 164 kN/m2 145 kN/m2
GBP min 135 kN/m2 137 kN/m2
164 135 145 137
heel toe toe heel
Frictional resistance, Fr (kN) 249 236
South abutment [node 1] North abutment [node 3]
A-7b-2-c H V M H V M
Reactions from TEDDS -90.60 254.40 -12.60 122.00 247.10 76.80
Total 564 kN 556 kN
x 1.84 m 1.96 m
e -0.08 m 0.04 m
k 1.13 1.06
GBP max 165 kN/m2 153 kN/m2
GBP min 128 kN/m2 136 kN/m2
165 128 153 136
heel toe toe heel
Frictional resistance, Fr (kN) 244 241
South abutment [node 1] North abutment [node 3]
A-7b-2-d H V M H V M
Reactions from TEDDS -96.00 275.60 -24.40 127.30 225.90 83.30
Total 585 kN 535 kN
x 1.89 m 1.95 m
e -0.04 m 0.03 m
k 1.06 1.04
GBP max 161 kN/m2 145 kN/m2
GBP min 143 kN/m2 133 kN/m2
161 143 145 133
heel toe toe heel
Frictional resistance, Fr (kN) 253 231
South abutment [node 1] North abutment [node 3]
A-7b-2-e H V M H V M
Reactions from TEDDS -96.00 244.40 -23.00 127.30 257.10 84.70
Total 554 kN 566 kN
x 1.85 m 1.98 m
e -0.07 m 0.06 m
k 1.11 1.09
GBP max 160 kN/m2 161 kN/m2
GBP min 128 kN/m2 133 kN/m2
160 128 161 133
heel toe toe heel
Frictional resistance, Fr (kN) 240 245
Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333
Calcs for Sliding A-6b-1 to 4 supp checks : fixed bases. walls equ.7960 Start page no./Revision S12 / 1
Calcs by ATR Calcs date 22/07/2020 Checked by Checked date Approved by Approved date
Name Density (kg/m3) Youngs Modulus kN/mm2 Shear Modulus kN/mm2 Thermal Coefficien °C-1
Concrete (C40/50) 2400 34 12 0.000001
Name Area (cm2) Moment of inertia Major Minor (cm4) (cm4) Shear area A A y z (cm2) (cm2)
R 450 x 1000 4500 3750000 759375 3750 3750
Node Co-ordinates X Z (m) (m) Freedom X Z Rot. Coordinate system Name Angle (°) Spring X Z Rot. (kN/m) (kN/m) kNm/°°
1 0 0 Fixed Fixed Fixed 0 0 0 0
2 0 5.225 Free Free Free 0 0 0 0
3 7.96 0.47 Fixed Fixed Fixed 0 0 0 0
4 7.96 5.695 Free Free Free 0 0 0 0
Element Length (m) Nodes Start End Section Material Releases Start End Axial moment moment Rotated
1 5.225 1 2 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
2 5.225 3 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
3 7.974 2 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes
Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333
Calcs for Sliding A-6b-1 to 4 supp checks : fixed bases. walls equ.7960 Start page no./Revision S12 / 2
Calcs by ATR Calcs date 22/07/2020 Checked by Checked date Approved by Approved date
Name Elements Start End
South abutment 1 1
North abutment 2 2
Deck 3 3
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -169.7 198.8 -250.1
3 42.7 250.9 -147
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -52.2 266 116
3 105.4 197.6 172
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -163.5 212.3 -232.2
3 49.3 206.7 -131
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -163.5 163.6 -218.6
3 49.3 255.4 -117.4
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -176.7 242.3 -255.2
3 62.5 176.7 -108.7
Node Force Fx Fz (kN) (kN) Moment My (kNm)
1 -176.7 132 -240.9
3 62.5 287 -94.5
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -167.70 198.80 -250.10 42.70 250.90 -147.00
Total 509 kN 560 kN
x 2.25 m 1.56 m
e 0.32 m -0.36 m
k 1.50 1.56
GBP max 198 kN/m2 227 kN/m2
GBP min 66 kN/m2 64 kN/m2
66 198 64 227
heel toe toe heel
Frictional resistance, Fr (kN) 220 242
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -52.20 266.00 116.00 105.40 197.60 172.00
Total 576 kN 506 kN
x 1.63 m 2.10 m
e -0.29 m 0.17 m
k 1.46 1.27
GBP max 218 kN/m2 167 kN/m2
GBP min 81 kN/m2 96 kN/m2
218 81 167 96
heel toe toe heel
Frictional resistance, Fr (kN) 249 219
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -163.50 212.30 -232.20 49.30 206.70 -131.00
Total 522 kN 515 kN
x 2.22 m 1.52 m
e 0.29 m -0.41 m
k 1.46 1.63
GBP max 197 kN/m2 219 kN/m2
GBP min 74 kN/m2 49 kN/m2
74 197 49 219
heel toe toe heel
Frictional resistance, Fr (kN) 226 223
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -163.50 163.60 -218.60 49.30 255.40 -117.40
Total 473 kN 564 kN
x 2.17 m 1.62 m
e 0.24 m -0.30 m
k 1.38 1.47
GBP max 169 kN/m2 215 kN/m2
GBP min 76 kN/m2 78 kN/m2
76 169 78 215
heel toe toe heel
Frictional resistance, Fr (kN) 205 244
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -176.70 242.30 -255.20 62.50 176.70 -108.70
Total 552 kN 485 kN
x 2.27 m 1.50 m
e 0.35 m -0.42 m
k 1.54 1.66
GBP max 221 kN/m2 209 kN/m2
GBP min 66 kN/m2 43 kN/m2
66 221 43 209
heel toe toe heel
Frictional resistance, Fr (kN) 239 210
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -176.70 132.00 -240.90 62.50 287.00 -94.50
Total 442 kN 596 kN
x 2.20 m 1.71 m
e 0.27 m -0.22 m
k 1.43 1.34
GBP max 164 kN/m2 207 kN/m2
GBP min 66 kN/m2 102 kN/m2
66 164 102 207
heel toe toe heel
Frictional resistance, Fr (kN) 191 258
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -49.30 274.00 117.40 163.50 156.70 218.80
Total 584 kN 465 kN
x 1.64 m 2.17 m
e -0.28 m 0.24 m
k 1.44 1.38
GBP max 219 kN/m2 166 kN/m2
GBP min 84 kN/m2 75 kN/m2
219 84 166 75
heel toe toe heel
Frictional resistance, Fr (kN) 253 202
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -49.30 225.20 131.10 163.50 205.50 232.40
Total 535 kN 514 kN
x 1.54 m 2.22 m
e -0.38 m 0.30 m
k 1.59 1.46
GBP max 222 kN/m2 195 kN/m2
GBP min 56 kN/m2 72 kN/m2
222 56 195 72
heel toe toe heel
Frictional resistance, Fr (kN) 232 223
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -62.50 304.00 94.40 176.70 126.70 241.10
Total 614 kN 435 kN
x 1.72 m 2.20 m
e -0.21 m 0.27 m
k 1.32 1.42
GBP max 211 kN/m2 161 kN/m2
GBP min 108 kN/m2 65 kN/m2
211 108 161 65
heel toe toe heel
Frictional resistance, Fr (kN) 266 189
South abutment [node 1] North abutment [node 3]
H V M H V M
Reactions from TEDDS -62.50 193.70 108.80 176.70 237.10 255.30
Total 503 kN 546 kN
x 1.53 m 2.28 m
e -0.39 m 0.35 m
k 1.61 1.55
GBP max 211 kN/m2 220 kN/m2
GBP min 51 kN/m2 64 kN/m2
211 51 220 64
heel toe toe heel
Frictional resistance, Fr (kN) 218 236
Dandara Limited Isle of Man Business Park Braddan, Isle of Man IM2 2SA Project Ballasalla Bypass Job Ref. 2333
Secion Proposed Highway Bridge - Foundation Design Sheet no./rev. S13 - 20
Calc. by ATR Date 13/08/2020 Chk'd by Date App'd by Date
Description Unit Capacity Applied F o S Result
Bearing pressure kN/m2 200 171.6 1.166 PASS
Description Unit Provided Required Utilisation Result
Stem max front face - Flexural reinforcement mm2/m 1005.3 591.2 0.59 PASS
Stem p0 rear face - Flexural reinforcement mm2/m 2454.4 983.9 0.40 PASS
Stem p0 - Shear resistance kN/m 217.9 181.6 0.83 PASS
Stem p1 rear face - Flexural reinforcement mm2/m 1005.3 616.4 0.61 PASS
Stem p1 - Shear resistance kN/m 174.2 74.5 0.43 PASS
Base top face- Crack width mm 0.25 0.22 0.82 PASS
Base bottom face - Flexural reinforcement mm2/m 4021.2 1237.0 0.31 PASS
Base - Shear resistance kN/m 246.5 245.2 0.99 PASS
Transverse stem reinforcement mm2/m 1005.3 1005.3 1.00 PASS
Transverse base reinforcement mm2/m 1005.3 804.2 0.80 PASS
Dandara Limited Isle of Man Business Park Braddan, Isle of Man IM2 2SA Project Ballasalla Bypass Job Ref. 2333
Secion Proposed Highway Bridge - Foundation Design Sheet no./rev. S13 - 22
Calc. by ATR Date 13/08/2020 Chk'd by Date App'd by Date
Dandara Limited Isle of Man Business Park Braddan, Isle of Man IM2 2SA Project Ballasalla Bypass Job Ref. 2333
Secion Proposed Highway Bridge - Foundation Design Sheet no./rev. S13 - 23
Calc. by ATR Date 13/08/2020 Chk'd by Date App'd by Date

Full Response Text

Appendix 1

Ballasalla road bridge

Structural calculations

Issue 1 – 23 July 2020

CALCULATION REGISTER

JOB: Ballasalla bridge JOB NO: 2333

23/7/20 Issue 1 - items in red are in progress and to follow

Section no. [pages] Description

Rev Pages Mb S1 Introduction to structural calculations

  • 3 1.4 S2 HA UDL, HA KEL and HB live loads, centrifugal effects 19 4.6 S3 Traction / braking live loads

4 1.3 S4 Accidental live load on footways

10 1.6 S5 Dead loads and superimposed dead loads 3 0.6 S6 Horizontal earth pressures and live load surcharge

3 0.6 S7
Water pressure and buoyancy

2 0.4 S8 Load combination diagrams (longitudinal design) Diagram number

Equilibrium checks

1 Sliding check 1 = HA, disturbing earth pressure with Traction [S→N] A-6b-1[HA] 2 1

0.5 2 Sliding check 2 = HA, disturbing earth pressure with Traction [N→S] A-6b-2[HA] 2 1 3 Sliding check 3 = HB, disturbing earth pressure with Traction [S→N] A-6b-3[HB] 2 1 4 Sliding check 4 = HB, disturbing earth pressure with Traction [N→S] A-6b-1[HB] 2 1 5 Bearing pressure check 1 = HA, at-rest earth pressure + LLSC[S] A-7b-1[HA] 2 1

0.4 6 Bearing pressure check 2 = HA, at-rest earth pressure + LLSC[N] A-7b-2[HA] 2 1 7 Bearing pressure check 3 = HB, at-rest earth pressure + LLSC[S] A-7b-3[HB] 2 1 8 Bearing pressure check 4 = HB, at-rest earth pressure + LLSC[N] A-7b-4[HB] 2 1

ULS load combinations

9 Load combination 1.1 = Max vertical HA load with max horiz load. A-1b-1[HA] - 1

10 Load combination 1.2 = Max vertical HB load with max horiz load. A-1b-2[HB] - 1 11 Load combination 1.3 = Min vertical load with max horiz load. A-2b-1[no live load] - 1 12 Load combination 1.4 = Max vertical HA load with min horiz load. A-3b-1[HA] - 1 13 Load combination 1.5 = Max vertical HB load with min horiz load. A-3b-2[HB] - 1 14 Load combination 4.1 = Traction S→N with max vertical HA load A-4b-1-1[HA] - 1 Ballasalla bridge - over railway ATR 24/3/20 2333 S1-1 Introduction to structural calculations 1. Design has been carried out in accordance with DMRB Volume 2, Section 2, Part 12 BD31/01 - The design of buried concrete box and portal frame structures. 2. The structure has been designed as a portal frame using the unit width method of analysis in BD31/01 clause 4.1.1(e). 3. The structure has been designed for 30 units of HB loading, as BD31/01 3.2.1 (b) for roads other than Trunk Roads or Motorways. 4. The location of the structure is shown on drawing "Bypass OS coordinates" dated July 2017. The general arrangement of the structure prior to detailed design is shown on drawings 2333/E/01 Rev P0, 02 Rev P0 and 03 Rev P0 dated July 2017. 5. For the purposes of assessing vertical loads, the 7.3m wide carriageway has been divided into two notional lanes, each 3.65m wide, in accordance with BS5400-2:2006 clause 3.2.9.3.1. 6. Refer to SK HA 01 Rev - in calculation section 2 for a summary of HA live loads and superimposed dead loads (SDL) loads. Since cover is less than 0.6m, the HA UDL/KEL combination has been taken with no dispersal, as BD31/01 3.2.1 (a) (i). 7. Refer to SK HB 01 Rev - in calculation section 2, for a summary of HB live loads. The loaded length of the bridge is short (8m) and consequently when HB load is placed in a notional lane, no other live loads are present in front of, or to the rear of, the HB vehicle. 8. Refer to SK HA+HB 01 Rev - to SK HA+HB 03 in calculation section 2 for a summary of combined HA and HB loads across the width of the bridge. 9. Footway loads have been taken from BD31/01 clause 3.3.2. 10. Accidental wheel loads on the footways have been assessed in accordance with CS454 Rev 0 (which supersedes the reference in BD31/01 3.2.3 to BD37). CS454 clause 5.27.4 for non-cantilevered members, specifies accidental loading on a footway as a single vehicle from "ALL model 1". ALL model 1 axle weights and axle spacings for normal traffic are given in table B.1. These have been assessed and for analysis of the portal structure using the unit width method, it has been concluded that the accidental loading from a single vehicle is less onerous than HA and HB loads for which the carriageway has been designed and therefore longitudinal reinforcement in the footways is to be the same as that in the carriageway. No other vertical live load is taken in combination with accidental wheel load, as BD31/01 32.23 (b). DRAFT IN PROGRESS LAST UPDATED 23/7/20 Ballasalla bridge - over railway ATR 24/3/20 2333 S1-2 Introduction to structural calculations (cont) 11. Vertical loads due to centrifugal effects have been assessed in accordance with CS454 Rev 0 clause 5.24 and concluded to be negligible. 12. HA traction/braking load has been taken from CS454 Rev 0 clause 5.35.1. HB traction/braking load has been assessed in accordance with BS5400-2:2006 clause 6.10.2. 13. The specified concrete grade (in the AIP) is C35/45 for the deck slab and the walls and C28/35 for the foundations (base of walls). Reinforcement design has been based on the specified grade of concrete. E value for frame analysis as been taken from BS5400-4:1990 Table 3. To more closely reflect the probable actual strength of the concrete, the E value in the analysis of the portal has been taken as that for C40/50. 14. For assessment of deflections and crack widths, 0.75 of the value has been taken, i.e. mid-way between the Table 3 value (E = 32.5kN/mm2 for C35/45) and half that value (16.25kN/mm2), as BS5400-4:1990 clause 4.3.2.1 giving an E value = 24.4kN/mm2. 15. Coefficient of thermal expansion has been taken as 12 x 10-6/OC, which caters for all aggregates except limestone, as BD31/01 clause 3.2.8 (b). 16. TEDDS 2D frame analysis does not have the facility to model a moving load within a frame. Approximations have therefore been used for the HA KEL and the HB load train. Refer to Appendix 1 for details. 17. BD31/01 (clause 41.3) gives stages that are to be analysed as follows: (i) The completed structure backfilled up to the top of the roof. (ii) The structure backfilled to an intermediate level between roof level and finished surface level, at which it is proposed to use the structure for construction traffic. (iii) The structure, fully backfilled, in service. In this case, the difference between both stages (i) and (ii) and the final stage (iii) is considered to be insignificant and therefore analysis has only been carried out on stage (iii). 18. In this case, wind and snow loads are considered to be insignificant and have been ignored. 19. Separate analyses have been carried out for the foundations using an Excel spreadsheet. The reactions from TEDDS plane frame analyses have been applied as actions on the foundations, taking cognisance of the sign convention to check sliding resistance and ground bearing pressure. 20. The geometry of the bridge as shown on the drawings in item 4 above was amended as the detailed design evolved to reduce bearing pressures. The revised geometry is shown on SK-GEOM-02 Rev A in calculation section 6. 21. Separate analyses have been carried out on the superstructure to model differential settlement of 15mm between the north and south abutments. Ballasalla bridge - over railway ATR 24/3/20 2333 S1-3 S2 / 1 S2 / 2 S2 / 4 S2 / 5 S2 / 6 S2 / 7 S2 / 8 S2 / 9 S2 / 11 Job: Ballasalla bridge Date: 20/03/2020 Job number: 2333 Sheet no. CS454 ACCIDENTAL VEHICLE LOADING. ALL model 1. Table 1. NORMAL TRAFFIC COMBINED AXLE LOADS EXPRESSED AS SIMPLE EQUIV UDL low flow factor: 0.9 impact factor: 1.62 VEHICLE TYPE COMBINED AXLE LOAD (kN) AXLE WIDTH (m) OVERALL LENGTH (m) SIMPLE EQUIV UDL USING AXLE SPACING (kN/m2) ESTIMATED OVERALL WIDTH (m) SIMPLE EQUIV UDL (kN/m2) NOTIONAL LANE WIDTH from CS454 Table 5.9a (m) SIMPLE EQUIV UDL (kN/m2) VEHICLE TYPE A 315 1.8 8.4 20.8 2.1 17.9 3.0 12.5 A B 370 1.8 11.9 17.3 2.1 14.8 3.0 10.4 B C 394 1.8 11.9 18.4 2.1 15.8 3.0 11.0 C D1 392 1.8 11.4 19.1 2.1 16.4 3.0 11.5 D1 D2 392 1.8 12.4 17.6 2.1 15.1 3.0 10.5 D2 E1 392 1.8 12.7 17.1 2.1 14.7 3.0 10.3 E1 E2 392 1.8 12.7 17.1 2.1 14.7 3.0 10.3 E2 F1 402 1.8 12.98 17.2 2.1 14.7 3.0 10.3 F1 F2 402 1.8 12.98 17.2 2.1 14.7 3.0 10.3 F2 G1 433 1.8 13.5 17.8 2.1 15.3 3.0 10.7 G1 G2 433 1.8 13.5 17.8 2.1 15.3 3.0 10.7 G2 H1 432 1.8 15.05 15.9 2.1 13.7 3.0 9.6 H1 H2 432 1.8 15.05 15.9 2.1 13.7 3.0 9.6 H2 15.6 15.6 14.0 14.0 15.4 15.0 15.0 15.1 15.1 SIMPLE EQUIV UDL USING NOTIONAL LANE WIDTH FROM CS454 Table 5.9a including impactor factor and low flow factor 18.2 15.1 16.1 16.7 19.9 19.9 21.4 21.4 21.5 21.5 22.3 22.3 21.9 SIMPLE EQUIV UDL USING ESTIMATED OVERALL WIDTH including impactor factor and low flow factor (kN/m2) 26.0 21.6 23.0 23.9 S5 / 1 S5 / 2 S6 / 1 Rev 1: 20/4/20. Height of walls corrected. Rev 2: 15/7/20. Both walls made equal height. Job: Ballasalla bridge Date: 31/03/2020 Job number: 2333 Sheet no. S6-3 Horizontal earth pressures v1 31/03/2020 Rev 1: 20/04/2020 Rev 2: 15/07/2020 South abutment Height to top (m) Height to bottom (m) Density (kN/m3) Ko (max) Ko (min) Ka (disturbing) K (restoring) K (max sliding resistance) Max earth pressure at top (kN/m2) Max earth pressure at bottom (kN/m2) Min earth pressure at top (kN/m2) Min earth pressure at bottom (kN/m2) Disturbing earth pressure at top (kN/m2) Disturbing earth pressure at bottom (kN/m2) Restoring earth pressure at top (kN/m2) Restoring earth pressure at bottom (kN/m2) Max sliding resistance at top (kN/m2) Max sliding resistance at bottom (kN/m2) 0.3 5.75 21 0.6 0.2 0.33 0.6 1.5 3 8 72.5 1 3 24.2 2.1 39.8 3.8 72.5 9.5 181.1 0.525 5.75 21 0.6 0.2 0.33 0.6 1.5 6.6 72.5 2 2 24.2 3.6 39.8 6.6 72.5 16.5 181.1 North abutment Height to top (m) Height to bottom (m) Density (kN/m3) Ko (max) Ko (min) Ka (disturbing) K (restoring) K (max sliding resistance) Max earth pressure at top (kN/m2) Max earth pressure at bottom (kN/m2) Min earth pressure at top (kN/m2) Min earth pressure at bottom (kN/m2) Disturbing earth pressure at top (kN/m2) Disturbing earth pressure at bottom (kN/m2) Restoring earth pressure at top (kN/m2) Restoring earth pressure at bottom (kN/m2) Max sliding resistance at top (kN/m2) Max sliding resistance at bottom (kN/m2) 0.3 5.55 21 0.6 0.2 0.33 0.6 1.5 3 8 69.9 1 3 23.3 2.1 38.5 3.8 69.9 9.5 174.8 Horizontal live load surcharge South and North abutments LOAD Vsc (kN/m2) K K (disturbing) Psc (kN/m2) Psc (kN/m2) HA 10 0.6 0.33 6 0 3.3 HB 12 0.6 0.33 7 2 4.0 Rev Date Description 1 20/04/2020 Height of walls corrected 2 15/07/2020 Pressure at centre line of deck added for input to TEDDS. Both abutment walls made the same height as the South abutment, so the figures for the horizontal earth pressure for the North abutment become redundant. S7 / 1 Extract from Dandara drawing SI-01 Rev P1 Proposed location of bridge S7 / 2 S9 / 1 S9 / 2 S9 / 3 S9 / 4 S9 / 5 S9 / 6 S9 / 7 S9 / 8 S9 / 9 S9 / 10


S9 / 11 S9 / 12 S9 / 13 S9 / 14 S9 / 15 S9 / 16 S10 / 9 TRRL LR 765 S10 / 10 TRRL LR 765 S10 / 11 TRRL LR 765 Ballasalla bridge - over railway ATR 22/7/20 2333 S11 summary Maximum ground bearing pressure (GBP) Using the reactions from TEDDS and the Excel spreasheet the maximum GBP was as follows for the stated load cases: A-7b-5 [Dead load and soil pressure (no live load)]: 128kN/m2 A-7b-1 a-e [HA] and A-7b-2 a-e [HA]: 165kN/m2 A-7b-3 a-d [HB] and A-7b-4 a-d [HB]: 182kN/m2 The allowable bearing pressure is 165kN/m2 with a 25% increase permitted under HB loading. Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333 Calcs for A-7b-1 and 2 supp GBP check: fixed bases. walls equ.7960 Start page no./Revision S11 / 1 Calcs by ATR Calcs date 20/07/2020 Checked by Checked date Approved by Approved date ANALYSIS Tedds calcula ion version 1.0.23 Geometry Geometry (m) - Concrete (C40/50) - R 450 x 1000 South abutment North abutment Deck 1 5.225 2 5.225 3 7.974 1 2 3 4 X Z

Materials Name Density Youngs Modulus Shear Modulus Thermal Coefficient (kg/m3) kN/mm2 kN/mm2 °C-1 Concrete (C40/50) 2400 34 12 0.000001 Sections Name Area Moment of inertia Shear area Major Minor Ay Az (cm2) (cm4) (cm4) (cm2) (cm2) R 450 x 1000 4500 3750000 759375 3750 3750 Nodes Node Co-ordinates Freedom Coordinate system Spring X Z X Z Rot. Name Angle X Z Rot. (m) (m) (°) (kN/m) (kN/m) kNm/° 1 0 0 Fixed Fixed Fixed 0 0 0 0 2 0 5.225 Free Free Free 0 0 0 0 3 7.96 0.47 Fixed Fixed Fixed 0 0 0 0 4 7.96 5.695 Free Free Free 0 0 0 0 Elements Element Length Nodes Section Material Releases Rotated (m) Start End Start moment End moment Axial 1 5.225 1 2 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes 2 5.225 3 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes 3 7.974 2 4 R 450 x 1000 Concrete (C40/50) Fixed Fixed Fixed Yes Dandara Ltd 16 Beech Manor Stoneywood Aberdeen AB21 9AZ Project Ballasalla road bridge Job no. 2333 Calcs for A-7b-1 and 2 supp GBP check: fixed bases. walls equ.7960 Start page no./Revision S11 / 2 Calcs by ATR Calcs date 20/07/2020 Checked by Checked date Approved by Approved date Members Name Elements Start End South abutment 1 1 North abutment 2 2 Deck 3 3 Results Reactions Load combination: A-7b-1-a kel mid (Strength) Node Force Moment Fx Fz My (kN) (kN) (kNm) 1 -121.2 255.6 -73.7 3 89.9 245.9 13.1 Load combination: A-7b-1-b kel 1/3 (Strength) Node Force Moment Fx Fz My (kN) (kN) (kNm) 1 -122 260.9 -76.7 3 90.6 240.7 12.7 Load combination: A-7b-1-c kel 2/3 (Strength) Node Force Moment Fx Fz My (kN) (kN) (kNm) 1 -122 248.9 -72.8 3 90.6 252.6 16.6 Load combination: A-7b-1-d kel lhs (Strength) Node Force Moment Fx Fz My (kN) (kN) (kNm) 1 -127.3 270.2 -84.6 3 96 231.3 23.1 Load combination: A-7b-1-e kel rhs (Strength) Node Force Moment Fx Fz My (kN) (kN) (kNm) 1 -127.3 239 -83.2 3 96 262.5 24.5 Load combination: A-7b-2-a kel mid (Strength) Node Force Moment Fx Fz My (kN) (kN) (kNm) 1 -89.9 261.1 -13.5 3 121.2 240.4 73.3 Load combination: A-7b-2-b kel 1/3 (Streng

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