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CALCUL PLACI B.A..xls
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CALCUL PLACI B.A..xls
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CALCULUL STATIC AL PLACI ARMATE ARMATE PE DOU DOU
PLACILOR DIRECTII
P1 l l / l M
2
1
2
1
a 11
q l
1
M
11
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
q l 1 (m ) (daN/m) 1500.00
3.16
l 2 (m ) 3.00
a q l 12
12
2
q
1
b
11
11
q
q
2
12
0.0059
0.0946
0.0588
0.9412
0.0080
0.0881
0.0838
0.9162
0.0105
0.0813
0.0115
0.9885
0.0133
0.0744
0.1515
0.8485
0.0162
0.0676
0.1936
0.8064
0.0193
0.0612
0.2404
0.7596
0.0227
0.0555
0.2906
0.7094
0.0261
0.0491
0.3430
0.6570
0.0292
0.0447
0.3962
0.6038
0.0329
0.0403
0.4489
0.5511
0.0365
0.0365
0.5000
0.5000
0.0439
0.3000
0.5942
0.4058
0.0514
0.0248
0.6747
0.3253
0.0588
0.0206
0.7407
0.2593
0.0657
0.0171
0.7935
0.2065
0.0721
0.0142
0.8351
0.1649
0.0776
0.0118
0.8676
0.1324
0.0829
0.0099
0.8931
0.1069
0.0873
0.0082
0.9130
0.0870
0.0912
0.0070
0.9287
0.0713
0.0946
0.0059
0.9412
0.0588
11 0.95
2
2
0.0329
12 0.0403
11 0.4489
12 0.5511
b
12
q
Interpolare
q 1
q 2
M 1
M 2
(daN/m)
(daN/m)
(daNm)
(daNm)
673.35
826.65
492.13
544.05
0.90
0.0292
0.0447
0.3962
0.95
0.0329
0.0403
0.4489
0.0329
0.0403
0.4489
0.6038 0.5511 0.5511
P2 l l / l M
21
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00
'
2
1
22
2
a
1
21
q l M
21
1
0.0887
0.1351
0.8649
0.0093
0.0808
0.1862
0.8138
0.0117
0.0730
0.2447
0.7553
0.0142
0.0654
0.3086
0.6914
0.0169
0.0582
0.3751
0.6249
0.0197
0.0515
0.4417
0.5583
0.0224
0.0455
0.5059
0.4941
0.0252
0.0401
0.5661
0.4339
0.0280
0.0352
0.6212
0.3788
0.0307
0.0310
0.6706
0.3294
0.0334
0.0272
0.7143
0.2857
21
22
a q l
22
q
1
2
b
21
22
0.0071
22
2
2
q
q
2
b
22
21
1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
'
21
l '
l /l 1
2
q
22
0.0384
0.0210
0.0429
0.0163
0.0467
0.0127
0.0499
0.0100
0.0526
0.0079
0.0546
0.0063
0.0567
0.0051
0.0587
0.0042
0.0600
0.0034
0.0606
0.0028
22
21
1
l
2
q l
q
M '
1
1
q (daN/m) 1500.00
1
M '
8
2
2
l 1 (m )
l 2 (m )
3.33
3.00
21 0.90
0.0280
22 0.0352
21 0.6212
22 0.3788
8
11
22
0.7854
0.2146
0.8383
0.1617
0.8772
0.1228
0.9057
0.0943
0.9268
0.0732
0.9425
0.0575
0.9543
0.0457
0.9633
0.0367
0.90
0.0280
0.0352
0.6212
0.3788
0.9702
0.0298
0.95
0.0307
0.0310
0.6706
0.3294
0.9756
0.0244
0.0280
0.0352
0.6212
0.3788
22
Interpolare
21
2
l
2
q 1
q 2
(daN/m) (daN/m)
931.80
568.20
M 1
M 2
M' 1
M' 2
(daNm)
(daNm)
(daNm)
(daNm)
466.67
475.20
-1294.17
-639.22
P3 l l / l M
31
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00
'
2
1
32
2
a
1
31
31
q l M 2
0.0801
0.2381
0.7619
0.0093
0.0709
0.3139
0.6861
0.0114
0.0620
0.3932
0.6068
0.0136
0.0538
0.4716
0.5284
0.0157
0.0463
0.5456
0.4544
0.0178
0.0396
0.6127
0.3873
0.0198
0.0338
0.6709
0.3291
0.0218
0.0289
0.7230
0.2770
0.0235
0.0246
0.7664
0.2336
0.0252
0.0210
0.8029
0.1971
0.0267
0.0179
0.8333
0.1667
31
32
a
32
2
q l
2
q
1
32
0.0073
32
1
31
q
q
2
b
32
31
1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
'
31
l '
b
l /l 1
2
q
32
0.0293
0.0133
0.0313
0.0098
0.0330
0.0074
0.0343
0.0057
0.0353
0.0044
0.0362
0.0035
0.0369
0.0028
0.0374
0.0022
0.0379
0.0018
0.0383
0.0015
32
31
1
l
2
q l
q
M '
1
q (daN/m) 18000.00
1
1
M '
12
2
l 1 (m )
l 2 (m )
4.25
3.00
31 0.71
0.0160
32 0.0447
31 0.5613
2
12
32 0.4387
31
32
0.8798
0.1202
0.9120
0.0880
0.9346
0.0654
0.9505
0.0495
0.9620
0.0380
0.9704
0.0296
0.9766
0.0234
0.9813
0.0187
0.75
0.0178
0.0396
0.6127
0.3873
0.9849
0.0151
0.80
0.0198
0.0338
0.6709
0.3291
0.9877
0.0123
0.0160
0.0447
0.5613
0.4387
32
Interpolare
31
2
l
2
q 1
q 2
M 1
M 2
M' 1
M' 2
(daN/m) (daN/m)
(daNm)
(daNm)
(daNm)
(daNm)
10104.25
5202.00
7244.26
-22813.50
-8882.72
7895.75
P4 l l / l M
41
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00
2
1
42
2
a
1
41
41
q l
M
1
2
a
2
42
q l
2
q
1
42
0.0037
0.0589
0.0588
0.9412
0.0051
0.0561
0.0838
0.9162
0.0069
0.0529
0.1147
0.8853
0.0089
0.0496
0.1515
0.8485
0.0111
0.0462
0.1936
0.8064
0.0135
0.0427
0.2404
0.7596
0.0161
0.0393
0.2906
0.7094
0.0187
0.0359
0.3430
0.6570
0.0215
0.0327
0.3962
0.6038
0.0242
0.0297
0.4489
0.5511
0.0269
0.0269
0.5000
0.5000
l '
b
41
q
q
2
b
42
41
l /l 1
1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
2
q
42
0.0322
0.0220
0.0370
0.0179
0.0414
0.0145
0.0452
0.0118
0.0485
0.0096
0.0513
0.0078
0.0537
0.0064
0.0557
0.0053
0.0574
0.0044
0.0589
0.0037
1
l
2
q l
q
M '
1
1
q (daN/m) 1012.50
1
M '
8
2
2
l 1 (m )
l 2 (m )
1.80
2.10
41 1.17
0.0354
42 0.0193
41 0.6479
42 0.3521
8
41
42
0.5942
0.4058
0.6747
0.3253
0.7407
0.2593
0.7935
0.2065
0.8351
0.1649
0.8676
0.1324
0.8931
0.1069
0.9130
0.0870
0.9287
0.0713
0.9412
0.0588
q 1
q 2
Interpolare
1.10 1.20
0.0322
0.0220
0.5942
0.4058
0.0370
0.0179
0.6747
0.3253
0.0354
0.0193
0.6479
0.3521
2
l
2
M 1
(daN/m) (daN/m)
655.97
356.54
M 2
M' 1
M' 2
(daNm)
(daNm)
(daNm)
(daNm)
116.13
86.03
-265.67
-196.54
P5 l l / l M
51
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00
2
1
52
2
a
1
q l M
51
51
1
0.0560
0.1111
0.8889
0.0053
0.0523
0.1547
0.8453
0.0072
0.0484
0.2058
0.7942
0.0091
0.0442
0.2631
0.7369
0.0110
0.0401
0.3244
0.6756
0.0131
0.0361
0.3876
0.6124
0.0151
0.0323
0.4053
0.5947
0.0171
0.0287
0.5108
0.4892
0.0190
0.0254
0.5675
0.4325
0.0209
0.0224
0.6169
0.3831
0.0226
0.0198
0.6667
0.3333
52
51
52
2
M '
1
q (daN/m) 1012.50
1
12
52
1
2
b
51
q
q
2
1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
2
l /l 1
2
1.80
3.60
q
52 0.0119
0.0305
0.0092
0.0322
0.0072
0.0337
0.0057
0.0348
0.0046
0.0358
0.0037
0.0365
0.0030
0.0371
0.0024
0.0377
0.0020
52
51
1
l
2
q l
M '
8
l 2 (m )
0.0153
'
2
l 1 (m )
52
0.0284
2
M '
b
0.0257
2
51
q l
1
q
a q l
51
l '
q l
52
0.0041
'
2
2
1
51 2.00
0.0377
52 0.0020
51 0.9697
1
1
8
M '
2
52 0.0303
51
52
0.7454
0.2546
0.8057
0.1943
0.8510
0.1490
0.8848
0.1152
0.9101
0.0899
0.9291
0.0709
0.9435
0.0565
0.9545
0.0455
0.9631
0.0369
0.9697
0.0303
52
Interpolare
1.90 2.00
0.0371
0.0024
0.9631
0.0369
0.0377
0.0020
0.9697
0.0303
0.0377
0.0020
0.9697
0.0303
51
2
q l
2
2
12
q 1
q 2
M 1
(daN/m) (daN/m)
981.82
30.68
M 2
M' 1
M' 2
(daNm)
(daNm)
(daNm)
(daNm)
1 23.67
26.24
-397.64
-49.70
P6 l l / l M
2
1
2
1
a 61
q l M 2
1
61
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
q l 1 (m ) (daN/m) 1012.50
4.25
l 2 (m ) 1.90
a q l 62
62
2
q
1
b
61
61
q
q
2
62
0.0023
0.0367
0.0588
0.9412
0.0032
0.0352
0.0838
0.9162
0.0044
0.0336
0.1147
0.8853
0.0057
0.0322
0.1515
0.8485
0.0072
0.0299
0.1936
0.8064
0.0088
0.0279
0.2401
0.7599
0.0106
0.0258
0.2906
0.7094
0.0124
0.0238
0.3430
0.6570
0.0143
0.0217
0.3962
0.6038
0.0161
0.0198
0.4489
0.5511
0.0179
0.0179
0.5000
0.5000
0.0214
0.0146
0.5942
0.4058
0.0244
0.0118
0.6747
0.3253
0.0271
0.0095
0.7407
0.2593
0.0293
0.0076
0.7935
0.2065
0.0312
0.0062
0.8351
0.1649
0.0327
0.0050
0.8676
0.1324
0.0340
0.0041
0.8931
0.1069
0.0351
0.0033
0.9130
0.0870
0.0360
0.0028
0.9287
0.0713
0.0367
0.0023
0.9412
0.0588
61 0.45
2
0.0004
62 0.0379
61 0.0021
62 0.9979
b
62
q
Interpolare 0.60 0.65
q 1
q 2
M 1
M 2
M' 1
0.0044
0.0336
0.1147
0.0057
0.0322
0.1515
0.0004
0.0379
0.0021
M' 2
(daN/m)
(daN/m)
(daNm)
(daNm)
(daNm)
(daNm)
2.16
1010.34
7.75
138.46
-4.88
-455.92
0.8853 0.8485 0.9979
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