grillage analogy

7/29/2019 Grillage Analogy

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Design Of 15.8 m.

Pre-Stressed Solid Slab,

At Chainage Of 222+490


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Contents

Part A Grillage AnalogyPart B Design of Super-structure

Part C Design of Elastomeric bearing


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Part A

Analysis of Prestressed slab by

Grillage Analogy


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Chapter No. Description Page No.

1 Introduction 1-2

2 Design data 2-3

3 Idealisation of Structure 3-4

4 Load Caculation 4-9

5 Analysis of result 5-11

APPENDICES

APPENDIX A.1 STADD Input A-1

CONTENTS( Part A)


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Chapter 1

Introduction

\

The superstructure consists of Prestressed post-tensioned slab.

The structure is of span 15.8m c/c of expansion joint and 14.61m c/c of bearing joints.

Overall depth of superstructure is 0.75m

The following structure is prestressed solid slab at NH-7 in the state of Madhya pradesh.At a chainage of 222+490

The proposed structure has been analysed for 3 lane loading i.e 1 lane of 70RW With I lane

of class A ,3 lane of class A and 70R tracked loading.

The deck width of bridge is 13.5m. It consist, carriageway width of 10 m. In one side it

consist a crash barrier with a kerb of 1.25m width and the median of 2.25m width on other

side.

1-5


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1-6


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Chapter 2

Design data

2.1 MaterialGrade of concrete superstructure M - 45 R.C.C.

crash barrier M - 40 R.C.C.

Grade of flexure reinforcement Fe - 500

2.2 Structural Data

Type of superstructure Prestressed Post-tensioned slab

2.3 Dimensional Data

span c/c of expansion joints 15.800 m

span c/c of bearings 14.610 m

depth of superstructure at formation level 0.750 m

thickness of wearing coat 0.065 m

2.4 Live load Data

3 lane of class A

OR 1 lane of class 70R and 1 lane of class A

2.5 Seismic Data

Seismic zone III

2.6 Material property Data

unit weight of concrete 25.000 kN/m3

unit weight of wearing coat 22.000 kN/m3

2.7 Impact Factor

I.F 0.218

2.7 Calculation units

kN m

2-7


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Chapter- 3

Idealisation of Structure

The structure has been idealised as grillage.

For longitudinal analysis , The deck has been modelled as grillage. Sutiable section properties are

assigned to the members, section properties are calculated manually. The stiffenes of super-imposed

dead load has been ignored.


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Grillage modelling

3.1 For the proposed 27 m width and 15.8m span length, two prestressed soid slab of width 13.5 m are

provided. The slab is modelled as grillage. The equivalent grid is shown below. It consist of 17

longitudinal and 15 transeverse grid lines. A total of 10 supports are provided . supports are provided

at a spacing 3m

Fig 3.1 showing grillage model.

3.1.a Numbering of nodes and members

Nodes

Member

Numbering starts from 2 and end's at 258. the first node is numbered 2 and the rest numbering is done

longitudinally in positive x direction in ascending order.

Numbering starts from 1 and end's at 478. the left most longitudinal member is numbered 1 and

then number ascends upto 14, from 15 the transverse grid member's are numbered and then it

ascends upto 29. this goes on upto 478th member.

Fig 3.2 showing numbering of nodes.


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Fig 3.3 showing numbering of members.


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3.2 Section properties

Moment of inertia about Z axis, Iz = bd3/12

Moment of inertia about Y axis, Iy = db3/12

Torsional inertia Ix = bd3/3

Area, A = bd

Note

y

d

b

when torsional inertia per unit width of the slab is computed, the deck contributes to torsional

stiffness in both the directions and hence the value of Ix in each direction is to be taken as one-half of

the computed value and the lateral dimension is much larger than the depth.

z

x

a. Members ( 30 to 43)

Iz = 0.044 mm4

Iy = 0.122 mm4

Ix = 0.088 mm4

A = 0.938 mm2

b. Members ( 436 to 449)

1.2 m

0.75m

1.5m

0.75m

Iz = 0.053 mm4

Iy = 0.211 mm4

Ix = 0.105 mm4

A = 1.125 mm2


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c. Members ( 407 to 420)

Iz = 0.026 mm4

Iy = 0.026 mm4

Ix = 0.053 mm4

A = 0.563 mm2

d. Members

0.75m

0.75m

( 88 To 101 117 To 130 146 To 159 175 To 188 204 To 217 233 To 246 262 To 275

291 To 304 320 To 333 349 To 362)

Iz = 0.035 mm4

Iy = 0.063 mm4

Ix = 0.07 mm4

A = 0.75 mm2

e. Members

Iz = 0.046 mm4

Iy = 0.137 mm4

0.75m

1.3m

1m

0.75m

(21 27 50 56 79 85 108 114 137 143 166 172 195 201 224 230 253 259 282 288 311

317 340 346 369 375 398 404 427 433 456 462 )

Ix = 0.091 mm4

A = 0.975 mm2


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f. Members

Iz = 0.042 mm4

Iy = 0.108 mm4

Ix = 0.084 mm4

(16 To 20 22 To 26 28 45 To 49 51 To 55 57 74 To 78 80 To 84 86 103 To 107 109 To

113 115 132 To 136 138 To 142 144 161 To 165 167 To 171 173 190 To 194 196 To

200 202 219 To 223 225 To 229 231 248 To 252 254 To 258 260 277 To 281 283 To

287 289 306 To 310 312 To 316 318 335 To 339 341 To 345 347 364 To 368 370 To

374 376 393 To 397 399 To 403 405 422 To 426 428 To 432 434 451 To 455 457 To

461 463 )

1.2m

0.75m

A = 0.9 mm2

g. Members

Iz = 0 mm4

Iy = 0 mm4

Ix = 0 mm4

A = 0 mm2

0

(1 To 15 29 44 58 To 73 87 102 116 131 145 160 174 189 203 218 232 247 261 276

290 305 319 334 348 363 377 To 392 406 421 435 450 464 To 478)

0


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Chapter 4

Load Caculation

Dead Load

Dead load intensity = 25.00 KN/m3

X depth

= 18.75 KN/m2

in negative Y direction

Super imposed dead load.

The dead load of kerb ,median and wearing coat is applied as floor load in STAAD.

Kerb load intensity = 25.00 KN/m3

X depth

= 8.75 KN/m2


Median load intensity = 25.00 KN/m3

X depth

= 8.125 KN/m2


Wearing coat intensity = 22.00 KN/m2

X thick.

= 1.43 KN/m2


The crash barrier load is applied as uniformly distributed load at the extreme members.

Crash barrier. load = 25.00 KN/m2

X Area.

= 6.65 KN/m in negative Y direction

Live Load

Class A-2 lane loading.

Class 70R wheel loading and class A-1 lane loading.

Class 70R Tracked loading.

The dead load is applied as floor load in STAAD. The intensity of floor load is depth multiplied by

unit weight of concrete in negative Y dirction.

The bridge is analysed for three different types of loadings.the IRC live loading chosen are.

These loadings are moved on the bridge in 0.5m intervals - longitudinally, in transverse

direction the intervals are so chosen to produce maximum ecentricity . so that the load

traverses the entire length and width of the deck.

4-14


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Transverse position of Live loads over deck slab

Over all width 13.5

Kerb 1.25

Median 2.25

c/w 10

70R w

Last dist 10.85

dist reqd : 2.3600

case-1 cass-1 cass-2 cass-3 cass-4 cass-5 cass-6 dist.

inc. 1st pos 0.5 0.5 0.5 0.5 0.36 2.36

70Rw+ ClA e1 2.880 3.380 3.880 4.380 4.880 5.240

e2 4.810 5.310 5.810 6.310 6.810 7.170e3 6.690 7.190 7.690 8.190 8.690 9.050

e4 8.490 8.990 9.490 9.990 10.490 10.850

3 lane CLA

Last dist 10.85

dist reqd : 1.650

inc. 1st pos 0.4 0.400

case-1 e1 0.400 0.800

e2 2.200 2.600

e3 3.900 4.300

e4 5.700 6.100

e5 7.400 7.800

e6 9.200 9.600

70R T

Last dist 9.62

dist reqd : 5.930

Increment 1st pos 1 1 1 1 0.68 4.680

case-1 e1 1.630 2.630 3.630 4.630 5.630 6.310

e2 3.690 4.690 5.690 6.690 7.690 8.370

4-15


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Chapter 5

Analysis of result

5.1 Reaction summar

5-16

.

Tabulation of reactions (KN) for individulal support (with out impact factor)

IF 1.218

Node DL SIDL

+ive -ive +ive -ive +ive -ive +ive -ive

20 306 144 105 -1 130 -15 120 -26 597 418

32 306 144 119 0 129 -15 121 -26 597 418

80 478 52 243 -1 448 -2 374 -9 1021 519

92 478 52 287 0 399 -5 387 -8 1002 521

125 436 47 220 -1 414 0 351 0 937 482

137 436 47 260 0 369 0 365 -1 927 482

170 468 70 224 -1 256 0 323 -9 932 527

182 468 70 266 0 325 0 332 -8 943 529

230 311 123 48 0 59 -27 69 -34 518 392

1 la ne of 70R Track DL+S DL+LL *IFLL.( 1Class A+ 70RW)LL.Load(3 lane class A)

- -

242 311 123 49 0 67 -31 69 -34 518 392

5-16


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5.2 Shear Force Summary

Shear force for most critical members (Longitudinally)

Grid 1 Grid2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2

169 229 0 0 -4 -4 0 0 0 -2

170 2 30 0 0 -7 -8 0 0 -1 -4

Dist.+ve -ve +ve -veNodes

DL(S.F,KN) SIDL(S.F,KN)

0.6

5-17

- - - -

170 230 170 209 0 0 28 72 0 0

171 231 157 197 0 0 27 66 0 0

171 231 108 163 0 0 19 52 0 0

172 232 95 150 0 0 18 46 0 0

172 232 86 128 0 0 16 40 0 0

173 233 73 116 0 0 15 33 0 0

173 233 64 94 0 0 12 29 0 0

174 234 51 82 0 0 11 23 0 0

174 234 42 60 0 0 7 19 0 0

175 235 29 48 0 0 6 12 0 0

175 235 20 25 0 0 3 9 0 0

176 236 5 11 0 0 2 2 0 0

176 236 0 0 -5 -11 0 0 -2 -2

177 237 0 0 -18 -23 0 0 -3 -8

- - - -

6.6

7.9

9.1

3.0

4.2

5.4

.

1.8

- - - -

178 238 0 0 -40 -57 0 0 -7 -18

178 238 0 0 -49 -79 0 0 -10 -22

179 239 0 0 -62 -91 0 0 -11 -28

179 239 0 0 -71 -113 0 0 -14 -32

180 240 0 0 -84 -125 0 0 -15 -39

180 240 0 0 -93 -147 0 0 -18 -45

181 241 0 0 -106 -159 0 0 -19 -51

181 241 0 0 -152 -193 0 0 -26 -64

182 242 0 0 -167 -207 0 0 -28 -71

182 242 7 8 0 0 1 4 0 0

183 243 4 4 0 0 0 2 0 0

13.9

15.2

15.8

10.3

11.5

12.7

5-17


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Grid 1 Grid2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2

169 229 0 0 -12 0 0 0 -49 0 0 0 -32 0

170 230 0 0 -12 0 0 0 -49 0 0 0 -32 0

170 230 73 43 0 0 83 50 0 -1 129 55 -2 -5

171 231 73 43 0 0 79 50 -1 -1 91 55 -10 -5

0.6

1.8

Dist.+ve -ve +ve -ve +ve -veNodes

3-class A lane(S.F,KN) 1-class A +1-70RW. (S.F,KN) 1-70 R tracked (S.F,KN)

5-18

- - - -

171 231 49 38 -1 0 59 45 -1 0 99 49 -3 -1

172 232 48 38 -1 0 53 45 -12 0 54 49 -27 -1

172 232 44 34 -2 0 55 38 -5 0 77 43 -8 0

173 233 44 34 -2 0 40 38 -24 0 50 43 -49 0

173 233 38 28 -6 0 55 31 -7 0 80 35 -18 0

174 234 36 28 -6 0 32 31 -24 0 48 35 -47 0

174 234 32 21 -10 -1 42 23 -11 -1 84 27 -21 -2

175 235 31 21 -11 -1 25 23 -35 -1 38 27 -68 -2

175 235 25 12 -17 -6 41 12 -19 -6 68 18 -30 -9

176 236 22 12 -17 -6 16 12 -37 -6 37 18 -61 -9

176 236 17 5 -23 -13 28 4 -25 -14 74 9 -33 -17

177 237 16 5 -25 -13 9 4 -49 -14 28 9 -78 -17

177 237 9 2 -31 -20 24 2 -34 -23 55 2 -42 -26

178 238 9 2 -31 -20 8 2 -53 -23 25 2 -74 -26

- - - - - -

6.6

7.9

9.1

10.3

.

3.0

4.2

5.4

- - - - - -

179 239 5 0 -39 -28 8 1 -57 -33 14 0 -70 -34

179 239 3 0 -46 -36 12 0 -53 -44 37 0 -46 -42

180 240 3 0 -46 -36 5 0 -73 -44 11 0 -89 -42

180 240 2 0 -53 -42 13 1 -62 -52 36 1 -57 -49

181 241 2 0 -55 -42 4 1 -78 -52 6 1 -88 -49

181 241 0 0 -77 -48 11 2 -92 -61 19 4 -82 -55

182 242 0 0 -82 -48 0 2 -116 -61 1 4 -138 -55

182 242 12 0 0 0 49 0 0 0 37 0 0 0

183 243 12 0 0 0 49 0 0 0 37 0 0 0

12.7

13.9

15.2

15.8

11.5

5-18


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5.3 Bending Moment Summary

Bending moment for most critical members (Longitudinally)


169 229 169 0 0 0 0 0 0 0

170 230 170 4 0 0 3 2 0 0 0.6

NodesDL(BM,KN-m) SIDL(BM,KN-m)

Dist.+ve -ve +ve -ve

5-19

170 230 25 13 0 0 0 19 0 0

171 231 0 0 -171 -231 0 0 -33 -64

171 231 0 0 -153 -222 0 0 -34 -46

172 232 0 0 -275 -410 0 0 -56 -105

172 232 0 0 -273 -407 0 0 -59 -91

173 233 0 0 -368 -553 0 0 -77 -135

173 233 0 0 -368 -552 0 0 -79 -124

174 234 0 0 -437 -657 0 0 -92 -155

174 234 0 0 -437 -657 0 0 -94 -149

175 235 0 0 -480 -721 0 0 -102 -167

175 235 0 0 -480 -721 0 0 -103 -164

176 236 0 0 -496 -745 0 0 -106 -171

176 236 0 0 -496 -745 0 0 -106 -170

177 237 0 0 -482 -725 0 0 -103 -165

- - - -

6.6

7.9

9.1

.

1.8

3.0

4.2

5.4

- - - -

178 238 0 0 -442 -664 0 0 -95 -150

178 238 0 0 -442 -664 0 0 -93 -157

179 239 0 0 -375 -562 0 0 -80 -127

179 239 0 0 -374 -563 0 0 -78 -137

180 240 0 0 -281 -420 0 0 -61 -94

180 240 0 0 -283 -423 0 0 -58 -107

181 241 0 0 -164 -239 0 0 -36 -50

181 241 0 0 -182 -248 0 0 -35 -69

182 242 25 13 0 0 0 19 0 0

182 242 3 4 0 0 0 2 0 0

183 243 0 0 0 0 0 0 0 0

12.7

13.9

15.2

15.8

10.3

11.5

5-19


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Grid 1 Grid2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2

169 229 0 0 0 0 0 0 0 0 0 0 0 0

170 230 0 0 0 0 7 0 0 0 29 0 0 0

170 230 22 5 0 -20 24 4 0 -38 34 5 -5 -31

171 231 0 1 -75 -66 0 1 -79 -77 4 4 -86 -74

0.6

1.8


3 L an e o f c las s A (BM ,K N- m) 1 l an e o f c la ss A a nd 7 0R W. ( BM ,K N-m ) 1 la ne o f 7 0 R t ra ck ed ( BM ,K N-m )

5-20

- - - - - -

171 231 2 2 -65 -84 1 1 -67 -95 5 3 -60 -86

172 232 1 2 -113 -128 1 1 -122 -148 3 5 -119 -141

172 232 1 2 -110 -145 1 1 -117 -164 3 4 -107 -150

173 233 1 2 -147 -182 1 1 -162 -209 3 4 -149 -196

173 233 1 2 -145 -196 1 1 -158 -221 3 4 -142 -201

174 234 1 2 -177 -229 1 1 -188 -255 2 4 -171 -236

174 234 1 2 -176 -240 1 1 -187 -264 2 4 -167 -239

175 235 2 3 -199 -261 1 1 -208 -287 2 3 -184 -260

175 235 2 3 -198 -269 1 1 -207 -292 2 3 -181 -260

176 236 2 3 -206 -275 1 1 -214 -302 2 3 -188 -268

176 236 2 3 -206 -277 1 1 -214 -301 2 3 -188 -268

177 237 3 4 -205 -275 1 2 -212 -301 1 2 -183 -262

177 237 3 4 -205 -273 1 2 -212 -299 1 2 -185 -261

178 238 3 4 -190 -256 1 2 -202 -286 1 2 -168 -241

- - - - - -

6.6

7.9

9.1

10.3

.

3.0

4.2

5.4

- - - - - -

179 239 3 5 -161 -218 1 3 -181 -252 1 1 -144 -205

179 239 3 5 -163 -203 1 3 -182 -241 1 1 -151 -200

180 240 4 5 -127 -165 2 3 -143 -198 1 1 -110 -155

180 240 3 4 -131 -150 2 3 -147 -181 1 1 -122 -146

181 241 3 4 -79 -102 2 3 -89 -122 0 1 -64 -92

181 241 1 3 -91 -81 1 2 -107 -99 0 1 -89 -79

182 242 26 3 0 -23 27 3 0 -42 37 5 -5 -31

182 242 7 0 0 0 29 0 0 0 22 0 0 0

183 243 0 0 0 0 0 0 0 0 0 0 0 0

12.7

13.9

15.2

15.8

11.5

5-20


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5.5 Torsion Summary

Torsion for most critical members (Longitudinally)


169 229 0 0 0 0 0 0 0 0

170 230 0 0 0 0 0 0 0 0 0.6

NodesDL(Torsion,KN-m) SIDL(Torsion,KN-m)

Dist.+ve -ve +ve -ve

5-21

170 230 2 0 0 -16 0 0 -9 -20

171 231 2 0 0 -16 0 0 -9 -20

171 231 2 0 0 -9 0 0 -10 -21

172 232 2 0 0 -9 0 0 -10 -21

172 2 32 1 0 0 -4 0 0 -8 -17

173 2 33 1 0 0 -4 0 0 -8 -17

173 2 33 1 0 0 -2 0 0 -6 -12

174 2 34 1 0 0 -2 0 0 -6 -12

174 234 0 0 0 -1 0 0 -4 -7

175 235 0 0 0 -1 0 0 -4 -7

175 235 0 0 0 0 0 0 -1 -2

176 236 0 0 0 0 0 0 -1 -2

176 236 0 0 0 0 1 2 0 0

177 237 0 0 0 0 1 2 0 0

6.6

7.9

9.1

.

1.8

3.0

4.2

5.4

178 238 0 1 0 0 3 7 0 0

178 238 0 2 -1 0 6 12 0 0

179 239 0 2 -1 0 6 12 0 0

179 239 0 4 -1 0 8 16 0 0

180 240 0 4 -1 0 8 16 0 0

180 240 0 9 -2 0 10 20 0 0

181 241 0 9 -2 0 10 20 0 0

181 241 0 16 -2 0 9 21 0 0

182 242 0 16 -2 0 9 21 0 0

182 242 0 0 0 0 0 0 0 0

183 243 0 0 0 0 0 0 0 0

12.7

13.9

15.2

15.8

10.3

11.5

5-21


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Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2 Grid 1 Grid 2

169 229 4 0 -4 0 8 0 -8 0 0 0 -3 0

170 230 4 0 -4 0 8 0 -8 0 0 0 -3 0

170 230 18 20 0 -2 41 39 -3 -3 36 33 -8 -5

171 231 18 20 0 -2 41 39 -3 -3 36 33 -8 -5

0.6

1.8


3-class A lan e(Torsion ,KN -m) 1-class A +1 -7 0RW. (Torsio n,KN -m) 1-70 R t racked (Torsion, KN-m)

5-22

- - - - -

171 231 19 25 0 -1 41 47 -4 -4 37 39 -7 -4

172 232 19 25 0 -1 41 47 -4 -4 37 39 -7 -4

172 232 16 24 0 0 36 43 -3 -3 32 36 -5 -2

173 233 16 24 0 0 36 43 -3 -3 32 36 -5 -2

173 233 13 20 0 -1 27 34 -3 -5 26 29 -8 -8

174 234 13 20 0 -1 27 34 -3 -5 26 29 -8 -8

174 234 10 16 -1 -3 18 23 -5 -6 19 20 -11 -13

175 235 10 16 -1 -3 18 23 -5 -6 19 20 -11 -13

175 235 6 9 -4 -6 9 9 -6 -9 15 15 -12 -15

176 236 6 9 -4 -6 9 9 -6 -9 15 15 -12 -15

176 236 3 4 -7 -11 8 6 -12 -12 12 15 -14 -15

177 237 3 4 -7 -11 8 6 -12 -12 12 15 -14 -15

177 237 1 3 -10 -16 7 5 -19 -20 11 13 -19 -19

178 238 1 3 -10 -16 7 5 -19 -20 11 13 -19 -19

- - - - - -

6.6

7.9

9.1

10.3

.

3.0

4.2

5.4

- - - - - -

179 239 0 1 -13 -21 6 4 -28 -32 8 9 -26 -28

179 239 0 1 -17 -25 5 3 -37 -43 5 2 -32 -35

180 240 0 1 -17 -25 5 3 -37 -43 5 2 -32 -35

180 240 0 1 -20 -27 5 3 -45 -49 7 3 -37 -38

181 241 0 1 -20 -27 5 3 -45 -49 7 3 -37 -38

181 241 1 2 -21 -23 6 3 -46 -43 8 5 -36 -33

182 242 1 2 -21 -23 6 3 -46 -43 8 5 -36 -33

182 242 4 0 -4 0 8 0 -8 0 4 0 0 0

183 243 4 0 -4 0 8 0 -8 0 4 0 0 0

12.7

13.9

15.2

15.8

11.5

5-22


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4.5 Combination: It can be seen that grid 2 is ctical for B.M, and grid 1 is critical for torsion and shear force.

G1 G2 G1 G2 G1 G2 G1 G2 G1 G2 G1 G2 G1 G2

169 229 0 0 0 0 0 0 -58 -6 9 0 -9 0

170 230 19 5 0 0 0 0 -61 -11 9 0 -9 0 0.6

NODESDL+SDL+LL *IF (BM, kN-m) DL+SDL+LL *IF (SF, kN) DL+SDL+LL *IF (Torsion, kN-m)

Dist.+ve -ve +ve -ve +ve -ve

5-23

- - -

170 230 67 39 -6 -47 356 358 -2 -6 47 49 -19 -43

171 231 5 5 -309 -397 295 339 -12 -6 47 49 -19 -43

171 231 6 5 -260 -387 248 283 -4 -1 47 59 -19 -35

172 232 4 6 -476 -710 179 265 -32 -1 47 59 -19 -35

172 232 4 6 -461 -707 196 228 -10 0 40 54 -15 -25

173 233 3 6 -626 -960 148 209 -59 0 40 54 -15 -25

173 233 3 5 -620 -957 174 172 -22 0 32 43 -16 -25

174 234 3 5 -738 -1141 120 153 -58 0 32 43 -16 -25

174 234 3 5 -736 -1137 152 116 -26 -3 24 28 -17 -26

175 235 2 5 -809 -1250 82 97 -83 -3 24 28 -17 -26

175 235 2 4 -809 -1250 106 59 -37 -13 18 21 -16 -24

176 236 2 4 -836 -1294 51 38 -74 -13 18 21 -16 -24

176 236 2 4 -836 -1293 91 13 -46 -37 16 23 -18 -21

177 237 3 5 -818 -1266 34 13 -116 -55 16 23 -18 -21

- - - - - -

6.6

7.9

9.1

.

1.8

3.0

4.2

5.4

- - - - - -

178 238 3 5 -758 -1172 31 3 -137 -111 17 26 -23 -27

178 238 3 5 -757 -1172 71 1 -113 -148 16 26 -32 -40

179 239 4 6 -653 -1004 18 1 -159 -167 16 26 -32 -40

179 239 4 6 -652 -1002 45 1 -144 -204 14 24 -41 -54

180 240 4 6 -498 -763 13 1 -208 -223 14 24 -41 -54

180 240 4 5 -503 -757 44 1 -180 -260 18 34 -51 -62

181 241 4 5 -297 -442 7 1 -232 -278 18 34 -51 -62

181 241 1 3 -334 -441 24 6 -279 -334 19 44 -52 -54

182 242 69 38 -6 -52 1 6 -362 -355 19 44 -52 -54

182 242 36 5 0 0 61 11 0 0 9 0 -9 0

183 243 0 0 0 0 58 6 0 0 9 0 -9 0

12.7

13.9

15.2

15.8

10.3

11.5

5-23


24/30

5-24

GRID 1

GRID2

Fig 4.1 showing the most critical grids

5-24


25/30

Appendix A-1

STADD Input

STAAD SPACESTART JOB INFORMATION

ENGINEER DATE 17-Jan-13

END JOB INFORMATION

INPUT WIDTH 79

UNIT METER KN

JOINT COORDINATES

2 0 0 0; 3 0.6 0 0; 4 1.8 0 0; 5 3 0 0; 6 4.2 0 0; 7 5.4 0 0; 8 6.6 0 0;

11 9.1 0 0; 12 10.3 0 0; 13 11.5 0 0; 14 12.7 0 0; 15 13.9 0 0; 16 15.2 0 0;

19 0 0 0.75; 20 0.6 0 0.75; 21 1.8 0 0.75; 22 3 0 0.75; 23 4.2 0 0.75;

24 5.4 0 0.75; 25 6.6 0 0.75; 26 7.9 0 0.75; 27 9.1 0 0.75; 28 10.3 0 0.75;

29 11.5 0 0.75; 30 12.7 0 0.75; 31 13.9 0 0.75; 32 15.2 0 0.75; 33 15.8 0 0.75;

34 0 0 1.25; 35 0.6 0 1.25; 36 1.8 0 1.25; 37 3 0 1.25; 38 4.2 0 1.25;

39 5.4 0 1.25; 40 6.6 0 1.25; 41 7.9 0 1.25; 42 9.1 0 1.25; 43 10.3 0 1.25;

44 11.5 0 1.25; 45 12.7 0 1.25; 46 13.9 0 1.25; 47 15.2 0 1.25; 48 15.8 0 1.25;

49 0 0 1.75; 50 0.6 0 1.75; 51 1.8 0 1.75; 52 3 0 1.75; 53 4.2 0 1.75;

54 5.4 0 1.75; 55 6.6 0 1.75; 56 7.9 0 1.75; 57 9.1 0 1.75; 58 10.3 0 1.75;

59 11.5 0 1.75; 60 12.7 0 1.75; 61 13.9 0 1.75; 62 15.2 0 1.75; 63 15.8 0 1.75;

64 0 0 2.75; 65 0.6 0 2.75; 66 1.8 0 2.75; 67 3 0 2.75; 68 4.2 0 2.75;

69 5.4 0 2.75; 70 6.6 0 2.75; 71 7.9 0 2.75; 72 9.1 0 2.75; 73 10.3 0 2.75;

74 11.5 0 2.75; 75 12.7 0 2.75; 76 13.9 0 2.75; 77 15.2 0 2.75; 78 15.8 0 2.75;

79 0 0 3.75; 80 0.6 0 3.75; 81 1.8 0 3.75; 82 3 0 3.75; 83 4.2 0 3.75;

84 5.4 0 3.75; 85 6.6 0 3.75; 86 7.9 0 3.75; 87 9.1 0 3.75; 88 10.3 0 3.75;

89 11.5 0 3.75; 90 12.7 0 3.75; 91 13.9 0 3.75; 92 15.2 0 3.75; 93 15.8 0 3.75;94 0 0 4.75; 95 0.6 0 4.75; 96 1.8 0 4.75; 97 3 0 4.75; 98 4.2 0 4.75;

99 5.4 0 4.75; 100 6.6 0 4.75; 101 7.9 0 4.75; 102 9.1 0 4.75; 103 10.3 0 4.75;

104 11.5 0 4.75; 105 12.7 0 4.75; 106 13.9 0 4.75; 107 15.2 0 4.75;

108 15.8 0 4.75; 109 0 0 5.75; 110 0.6 0 5.75; 111 1.8 0 5.75; 112 3 0 5.75;

113 4.2 0 5.75; 114 5.4 0 5.75; 115 6.6 0 5.75; 116 7.9 0 5.75; 117 9.1 0 5.75;

118 10.3 0 5.75; 119 11.5 0 5.75; 120 12.7 0 5.75; 121 13.9 0 5.75;

122 15.2 0 5.75; 123 15.8 0 5.75; 124 0 0 6.75; 125 0.6 0 6.75; 126 1.8 0 6.75;

127 3 0 6.75; 128 4.2 0 6.75; 129 5.4 0 6.75; 130 6.6 0 6.75; 131 7.9 0 6.75;

132 9.1 0 6.75; 133 10.3 0 6.75; 134 11.5 0 6.75; 135 12.7 0 6.75;

136 13.9 0 6.75; 137 15.2 0 6.75; 138 15.8 0 6.75; 139 0 0 7.75;

140 0.6 0 7.75; 141 1.8 0 7.75; 142 3 0 7.75; 143 4.2 0 7.75; 144 5.4 0 7.75;

145 6.6 0 7.75; 146 7.9 0 7.75; 147 9.1 0 7.75; 148 10.3 0 7.75;

149 11.5 0 7.75; 150 12.7 0 7.75; 151 13.9 0 7.75; 152 15.2 0 7.75;

153 15.8 0 7.75; 154 0 0 8.75; 155 0.6 0 8.75; 156 1.8 0 8.75; 157 3 0 8.75;

158 4.2 0 8.75; 159 5.4 0 8.75; 160 6.6 0 8.75; 161 7.9 0 8.75; 162 9.1 0 8.75;

163 10.3 0 8.75; 164 11.5 0 8.75; 165 12.7 0 8.75; 166 13.9 0 8.75;

167 15.2 0 8.75; 168 15.8 0 8.75; 169 0 0 9.75; 170 0.6 0 9.75; 171 1.8 0 9.75;

172 3 0 9.75; 173 4.2 0 9.75; 174 5.4 0 9.75; 175 6.6 0 9.75; 176 7.9 0 9.75;

177 9.1 0 9.75; 178 10.3 0 9.75; 179 11.5 0 9.75; 180 12.7 0 9.75;

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181 13.9 0 9.75; 182 15.2 0 9.75; 183 15.8 0 9.75; 184 0 0 10.75;

185 0.6 0 10.75; 186 1.8 0 10.75; 187 3 0 10.75; 188 4.2 0 10.75;

189 5.4 0 10.75; 190 6.6 0 10.75; 191 7.9 0 10.75; 192 9.1 0 10.75;

193 10.3 0 10.75; 194 11.5 0 10.75; 195 12.7 0 10.75; 196 13.9 0 10.75;

197 15.2 0 10.75; 198 15.8 0 10.75; 199 0 0 11.25; 200 0.6 0 11.25;

201 1.8 0 11.25; 202 3 0 11.25; 203 4.2 0 11.25; 204 5.4 0 11.25;

205 6.6 0 11.25; 206 7.9 0 11.25; 207 9.1 0 11.25; 208 10.3 0 11.25;

209 11.5 0 11.25; 210 12.7 0 11.25; 211 13.9 0 11.25; 212 15.2 0 11.25;

213 15.8 0 11.25; 214 0 0 11.75; 215 0.6 0 11.75; 216 1.8 0 11.75;

217 3 0 11.75; 218 4.2 0 11.75; 219 5.4 0 11.75; 220 6.6 0 11.75;

221 7.9 0 11.75; 222 9.1 0 11.75; 223 10.3 0 11.75; 224 11.5 0 11.75;

225 12.7 0 11.75; 226 13.9 0 11.75; 227 15.2 0 11.75; 228 15.8 0 11.75;

229 0 0 12.75; 230 0.6 0 12.75; 231 1.8 0 12.75; 232 3 0 12.75;

233 4.2 0 12.75; 234 5.4 0 12.75; 235 6.6 0 12.75; 236 7.9 0 12.75;

237 9.1 0 12.75; 238 10.3 0 12.75; 239 11.5 0 12.75; 240 12.7 0 12.75;

241 13.9 0 12.75; 242 15.2 0 12.75; 243 15.8 0 12.75; 244 0 0 13.5;

245 0.6 0 13.5; 246 1.8 0 13.5; 247 3 0 13.5; 248 4.2 0 13.5; 249 5.4 0 13.5;

250 6.6 0 13.5; 251 7.9 0 13.5; 252 9.1 0 13.5; 253 10.3 0 13.5;

254 11.5 0 13.5; 255 12.7 0 13.5; 256 13.9 0 13.5; 257 15.2 0 13.5;258 15.8 0 13.5; 259 7.9 0 0; 260 15.8 0 0;

MEMBER INCIDENCES

1 2 3; 2 3 4; 3 4 5; 4 5 6; 5 6 7; 6 7 8; 7 8 259; 8 259 11; 9 11 12; 10 12 13;

11 13 14; 12 14 15; 13 15 16; 14 16 260; 15 19 2; 16 3 20; 17 4 21; 18 5 22;

19 6 23; 20 7 24; 21 8 25; 22 259 26; 23 11 27; 24 12 28; 25 13 29; 26 14 30;

27 15 31; 28 16 32; 29 260 33; 30 19 20; 31 20 21; 32 21 22; 33 22 23;

34 23 24; 35 24 25; 36 25 26; 37 26 27; 38 27 28; 39 28 29; 40 29 30; 41 30 31;

42 31 32; 43 32 33; 44 19 34; 45 20 35; 46 21 36; 47 22 37; 48 23 38; 49 24 39;

50 25 40; 51 26 41; 52 27 42; 53 28 43; 54 29 44; 55 30 45; 56 31 46; 57 32 47;

58 33 48; 59 34 35; 60 35 36; 61 36 37; 62 37 38; 63 38 39; 64 39 40; 65 40 41;

66 42 41; 67 42 43; 68 43 44; 69 44 45; 70 45 46; 71 46 47; 72 47 48; 73 34 49;

74 35 50; 75 36 51; 76 37 52; 77 38 53; 78 39 54; 79 40 55; 80 41 56; 81 42 57;

82 43 58; 83 44 59; 84 45 60; 85 46 61; 86 47 62; 87 48 63; 88 49 50; 89 50 51;

90 51 52; 91 52 53; 92 53 54; 93 54 55; 94 55 56; 95 56 57; 96 57 58; 97 58 59;

98 59 60; 99 60 61; 100 61 62; 101 62 63; 102 49 64; 103 50 65; 104 51 66;

105 52 67; 106 53 68; 107 54 69; 108 55 70; 109 56 71; 110 57 72; 111 58 73;

112 59 74; 113 60 75; 114 61 76; 115 62 77; 116 63 78; 117 64 65; 118 65 66;

119 66 67; 120 67 68; 121 68 69; 122 69 70; 123 70 71; 124 71 72; 125 72 73;

126 73 74; 127 74 75; 128 75 76; 129 76 77; 130 77 78; 131 64 79; 132 65 80;

133 66 81; 134 67 82; 135 68 83; 136 69 84; 137 70 85; 138 71 86; 139 72 87;

140 73 88; 141 74 89; 142 75 90; 143 76 91; 144 77 92; 145 78 93; 146 79 80;

147 80 81; 148 81 82; 149 82 83; 150 83 84; 151 84 85; 152 85 86; 153 86 87;

154 87 88; 155 88 89; 156 89 90; 157 90 91; 158 91 92; 159 92 93; 160 79 94;161 80 95; 162 81 96; 163 82 97; 164 83 98; 165 84 99; 166 85 100; 167 86 101;

168 87 102; 169 88 103; 170 89 104; 171 90 105; 172 91 106; 173 92 107;

174 93 108; 175 94 95; 176 95 96; 177 96 97; 178 97 98; 179 98 99; 180 99 100;

181 100 101; 182 101 102; 183 102 103; 184 103 104; 185 104 105; 186 105 106;

187 106 107; 188 107 108; 189 94 109; 190 95 110; 191 96 111; 192 97 112;

193 98 113; 194 99 114; 195 100 115; 196 101 116; 197 102 117; 198 103 118;

199 104 119; 200 105 120; 201 106 121; 202 107 122; 203 108 123; 204 109 110;

205 110 111; 206 111 112; 207 112 113; 208 113 114; 209 114 115; 210 115 116;

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211 116 117; 212 117 118; 213 118 119; 214 119 120; 215 120 121; 216 121 122;

217 122 123; 218 109 124; 219 110 125; 220 111 126; 221 112 127; 222 113 128;

223 114 129; 224 115 130; 225 116 131; 226 117 132; 227 118 133; 228 119 134;

229 120 135; 230 121 136; 231 122 137; 232 123 138; 233 124 125; 234 125 126;

235 126 127; 236 127 128; 237 128 129; 238 129 130; 239 130 131; 240 131 132;

241 132 133; 242 133 134; 243 134 135; 244 135 136; 245 136 137; 246 137 138;

247 124 139; 248 125 140; 249 126 141; 250 127 142; 251 128 143; 252 129 144;

253 130 145; 254 131 146; 255 132 147; 256 133 148; 257 134 149; 258 135 150;

259 136 151; 260 137 152; 261 138 153; 262 139 140; 263 140 141; 264 141 142;

265 142 143; 266 143 144; 267 144 145; 268 145 146; 269 146 147; 270 147 148;

271 148 149; 272 149 150; 273 150 151; 274 151 152; 275 152 153; 276 139 154;

277 140 155; 278 141 156; 279 142 157; 280 143 158; 281 144 159; 282 145 160;

283 146 161; 284 147 162; 285 148 163; 286 149 164; 287 150 165; 288 151 166;

289 152 167; 290 153 168; 291 154 155; 292 155 156; 293 156 157; 294 157 158;

295 158 159; 296 159 160; 297 160 161; 298 161 162; 299 162 163; 300 163 164;

301 164 165; 302 165 166; 303 166 167; 304 167 168; 305 154 169; 306 155 170;

307 156 171; 308 157 172; 309 158 173; 310 159 174; 311 160 175; 312 161 176;

313 162 177; 314 163 178; 315 164 179; 316 165 180; 317 166 181; 318 167 182;

319 168 183; 320 169 170; 321 170 171; 322 171 172; 323 172 173; 324 173 174;325 174 175; 326 175 176; 327 176 177; 328 177 178; 329 178 179; 330 179 180;

331 180 181; 332 181 182; 333 182 183; 334 169 184; 335 170 185; 336 171 186;

337 172 187; 338 173 188; 339 174 189; 340 175 190; 341 176 191; 342 177 192;

343 178 193; 344 179 194; 345 180 195; 346 181 196; 347 182 197; 348 183 198;

349 184 185; 350 185 186; 351 186 187; 352 187 188; 353 188 189; 354 189 190;

355 190 191; 356 191 192; 357 192 193; 358 193 194; 359 194 195; 360 195 196;

361 196 197; 362 197 198; 363 184 199; 364 185 200; 365 186 201; 366 187 202;

367 188 203; 368 189 204; 369 190 205; 370 191 206; 371 192 207; 372 193 208;

373 194 209; 374 195 210; 375 196 211; 376 197 212; 377 198 213; 378 199 200;

379 200 201; 380 201 202; 381 202 203; 382 203 204; 383 204 205; 384 205 206;

385 206 207; 386 207 208; 387 209 208; 388 209 210; 389 210 211; 390 211 212;

391 212 213; 392 199 214; 393 200 215; 394 201 216; 395 202 217; 396 203 218;

397 204 219; 398 205 220; 399 206 221; 400 207 222; 401 208 223; 402 209 224;

403 210 225; 404 211 226; 405 212 227; 406 213 228; 407 214 215; 408 215 216;

409 216 217; 410 217 218; 411 218 219; 412 219 220; 413 220 221; 414 221 222;

415 222 223; 416 223 224; 417 224 225; 418 225 226; 419 226 227; 420 227 228;

421 214 229; 422 215 230; 423 216 231; 424 217 232; 425 218 233; 426 219 234;

427 220 235; 428 221 236; 429 222 237; 430 223 238; 431 224 239; 432 225 240;

433 226 241; 434 227 242; 435 228 243; 436 229 230; 437 230 231; 438 231 232;

439 232 233; 440 233 234; 441 234 235; 442 235 236; 443 236 237; 444 237 238;

445 238 239; 446 239 240; 447 240 241; 448 241 242; 449 242 243; 450 229 244;

451 230 245; 452 231 246; 453 232 247; 454 233 248; 455 234 249; 456 235 250;

457 236 251; 458 237 252; 459 238 253; 460 239 254; 461 240 255; 462 241 256;463 242 257; 464 243 258; 465 244 245; 466 245 246; 467 246 247; 468 247 248;

469 248 249; 470 249 250; 471 250 251; 472 251 252; 473 252 253; 474 253 254;

475 254 255; 476 255 256; 477 256 257; 478 257 258;

DEFINE MATERIAL START

ISOTROPIC CONCRETE

E 2.17185e+007

POISSON 0.17

DENSITY 23.5616

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ALPHA 1e-005

DAMP 0.05

END DEFINE MATERIAL

MEMBER PROPERTY AMERICAN

1 TO 15 29 44 58 TO 73 87 102 116 131 145 160 174 189 203 218 232 247 261 -

276 290 305 319 334 348 363 377 TO 392 406 421 435 450 464 TO 477 -

478 PRIS AX 1e-007 AY 1e-007 AZ 1e-007 IX 1e-009 IY 1e-009 IZ 1e-009

30 TO 43 PRIS AX 0.9375 AY 0.9375 AZ 0.9375 IX 0.088 IY 0.12207 IZ 0.043945



88 TO 101 117 TO 130 146 TO 159 175 TO 188 204 TO 217 233 TO 246 262 TO 275 -

291 TO 304 320 TO 333 349 TO 361 -

362 PRIS AX 0.75 AY 0.75 AZ 0.75 IX 0.070313 IY 0.0625 IZ 0.035156

21 27 50 56 79 85 108 114 137 143 166 172 195 201 224 230 253 259 282 288 -

311 317 340 346 369 375 398 404 427 433 456 -


16 TO 20 22 TO 26 28 45 TO 49 51 TO 55 57 74 TO 78 80 TO 84 86 103 TO 107 -

109 TO 113 115 132 TO 136 138 TO 142 144 161 TO 165 167 TO 171 173 -

190 TO 194 196 TO 200 202 219 TO 223 225 TO 229 231 248 TO 252 254 TO 258 -260 277 TO 281 283 TO 287 289 306 TO 310 312 TO 316 318 335 TO 339 -

341 TO 345 347 364 TO 368 370 TO 374 376 393 TO 397 399 TO 403 405 -

422 TO 426 428 TO 432 434 451 TO 455 457 TO 461 -


CONSTANTS

MATERIAL CONCRETE ALL

SUPPORTS

20 32 80 92 125 137 170 182 230 242 PINNED

DEFINE MOVING LOAD

*CLASS-A

TYPE 1 LOAD 34 34 34 34 57 57 13.5 13.5

DIST 3 3 3 4.3 1.2 3.2 1.1 WID 1.8

*70RW

TYPE 2 LOAD 85 85 85 85 60 60 40

DIST 1.37 3.05 1.37 2.13 1.52 3.96 WID 1.93

*70RT

TYPE 3 LOAD 35 35 35 35 35 35 35 35 35 35

DIST 0.457 0.457 0.457 0.457 0.457 0.457 0.457 0.457 0.457 WID 2.06

LOAD 1 LOADTYPE None TITLE DEAD LOAD

FLOOR LOAD

YRANGE 0 0 FLOAD -18.75 XRANGE 0 15.8 ZRANGE 0 13.5 GY

LOAD 2 LOADTYPE None TITLE SIDL

FLOOR LOADYRANGE 0 0 FLOAD -8.75 XRANGE 0 15.8 ZRANGE 0 1.25 GY

YRANGE 0 0 FLOAD -8.125 XRANGE 0 15.8 ZRANGE 11.25 13.5 GY

YRANGE 0 0 FLOAD -1.43 XRANGE 0 15.8 ZRANGE 0 13.5 GY

MEMBER LOAD

1 TO 14 UNI GY -6.65

**

LOAD GENERATION 70

*3 lANE OF CLASS A

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TYPE 1 -18.5 0 3.45 XINC 0.5

TYPE 1 -18.5 0 6.95 XINC 0.5

TYPE 1 -18.5 0 10.45 XINC 0.5

LOAD GENERATION 70

TYPE 1 -18.5 0 3.85 XINC 0.5

TYPE 1 -18.5 0 7.35 XINC 0.5

TYPE 1 -18.5 0 10.85 XINC 0.5

*

LOAD GENERATION 70

*oNE lANE OF 70r W + cLASS -A

TYPE 2 -13.5 0 4.81 XINC 0.5

TYPE 1 -18.5 0 8.49 XINC 0.5

LOAD GENERATION 70

*oNE lANE OF 70r W + cLASS -B

TYPE 2 -13.5 0 5.31 XINC 0.5

TYPE 1 -18.5 0 8.99 XINC 0.5

LOAD GENERATION 70

*oNE lANE OF 70r W + cLASS -C

TYPE 2 -13.5 0 5.81 XINC 0.5TYPE 1 -18.5 0 9.49 XINC 0.5

LOAD GENERATION 70

*oNE lANE OF 70r W + cLASS -D

TYPE 2 -13.5 0 6.31 XINC 0.5

TYPE 1 -18.5 0 9.99 XINC 0.5

LOAD GENERATION 70

*oNE lANE OF 70r W + cLASS -E

TYPE 2 -13.5 0 6.81 XINC 0.5

TYPE 1 -18.5 0 10.49 XINC 0.5

*oNE lANE OF 70r W + cLASS -F

LOAD GENERATION 70

TYPE 2 -13.5 0 7.17 XINC 0.5

TYPE 1 -18.5 0 10.85 XINC 0.5

*

LOAD GENERATION 40

*70RT -1

TYPE 3 -4.57 0 4.94 XINC 0.5

LOAD GENERATION 40

*70RT -2

TYPE 3 -4.57 0 5.94 XINC 0.5

LOAD GENERATION 40

*70RT -3

TYPE 3 -4.57 0 6.94 XINC 0.5LOAD GENERATION 40

*70RT -4

TYPE 3 -4.57 0 7.94 XINC 0.5

LOAD GENERATION 40

*70RT -5

TYPE 3 -4.57 0 8.94 XINC 0.5

LOAD GENERATION 40

TYPE 3 -4.57 0 9.62 XINC 0.5

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PERFORM ANALYSIS

FINISH

grillage analogy

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