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Приложение 1. Некоторые механические свойства конструкционных материалов
Некоторые механические свойства конструкционных материалов.
Приложение 2
Геометрические характеристики круглых поперечных сечений
Приложение 3
Значения тангенсов углов от 0° до 90°
tg
| 0'
| 6'
| 12'
| 18'
| 24'
| 30'
| 36'
| 42'
| 48'
| 54'
| 60'
| 1'
| 2'
| 3'
|
| 0,0000
|
| 0°
| 0,0000
|
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| 1°
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| 2°
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| 3°
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| 4°
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| 0,0875
|
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| 5°
| 0,0875
|
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| 6°
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| 7°
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| 8°
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| 9°
|
|
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|
| 0,1763
|
|
|
|
| 10°
| 0,1763
|
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| 11°
|
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| 12°
|
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| 13°
|
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| 14°
|
|
|
|
|
|
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|
| 0,2679
|
|
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|
| 15°
| 0,2679
|
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|
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|
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| 16°
|
|
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| 17°
|
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|
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| 18°
|
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|
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|
|
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|
|
|
|
|
| 19°
|
|
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|
|
|
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|
|
| 0,3640
|
|
|
|
| 20°
| 0,364
|
|
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| 21°
|
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| 22°
|
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| 23°
|
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|
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|
|
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|
| 24°
|
|
|
|
|
|
|
|
|
|
| 0,4663
|
|
|
|
| 25°
| 0,4663
|
|
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|
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| 26°
|
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| 27°
|
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| 28°
|
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| 29°
|
|
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|
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|
| 0,5774
|
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| 30°
| 0,5774
|
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| 31°
|
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|
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| 32°
|
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| 33°
|
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|
|
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|
|
|
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|
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| 34°
|
|
|
|
|
|
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|
|
|
| 0,7002
|
|
|
|
| 35°
| 0,7002
|
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| 36°
|
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|
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| 14°
| 37°
|
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|
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|
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| 38°
|
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|
|
|
|
| 39°
|
|
|
|
|
|
|
|
|
|
| 0,8391
|
|
|
|
| 40°
| 0,8391
|
|
|
|
|
|
|
|
|
| 0,8693
|
|
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| 41°
|
|
|
|
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|
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|
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| 42°
|
|
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|
|
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| 43°
|
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| 0,9657
|
|
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| 44°
|
|
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|
|
|
|
| 45°
| 1,0000
|
|
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|
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|
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| 46°
|
|
|
|
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|
|
|
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|
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|
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| 47°
|
|
|
|
|
|
|
|
|
|
|
|
|
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| 48°
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 49°
|
|
|
|
|
|
|
|
|
|
| 1,1918
|
|
|
|
| 50°
| 1,1918
|
|
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|
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|
|
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|
|
| 51°
|
|
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|
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| 52°
|
|
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|
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|
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| 53°
|
|
|
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|
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|
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| 54°
|
|
|
|
|
|
|
|
|
|
| 1,4281
|
|
|
|
| 55°
| 1,4281
|
|
|
|
|
|
|
|
|
|
|
|
|
| 56°
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 57°
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 58°
|
|
|
|
|
|
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|
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| 59°
|
|
|
|
|
|
|
|
|
|
| 1,7321
|
|
|
|
| 60°
| 1,732
| 1,739
| 1,746
| 1,753
| 1,76
| 1,767
| 1,775
| 1,782
| 1,789
| 1,797
| 1,804
|
|
|
| 61°
| 1,804
| 1,811
| 1,819
| 1,827
| 1,834
| 1,842
| 1,849
| 1,857
| 1,865
| 1,873
| 1,881
|
|
|
| 62°
| 1,881
| 1,889
| 1,897
| 1,905
| 1,913
| 1,921
| 1,929
| 1,937
| 1,946
| 1,954
| 1,963
|
|
|
| 63°
| 1,963
| 1,971
| 1,98
| 1,988
| 1,997
| 2,006
| 2,014
| 2,023
| 2,032
| 2,041
| 2,05
|
|
|
| 64°
| 2,05
| 2,059
| 2,069
| 2,078
| 2,087
| 2,097
| 2,106
| 2,116
| 2,125
| 2,135
| 2,145
|
|
|
|
| 65°
| 2,145
| 2,154
| 2,164
| 2,174
| 2,184
| 2,194
| 2,204
| 2,215
| 2,225
| 2,236
| 2,246
|
|
|
| 66°
| 2,246
| 2,257
| 2,267
| 2,278
| 2,289
| 2,3
| 2,311
| 2,322
| 2,333
| 2,344
| 2,356
|
|
|
| 67°
| 2,356
| 2,367
| 2,379
| 2,391
| 2,402
| 2,414
| 2,426
| 2,438
| 2,45
| 2,463
| 2,475
|
|
|
| 68°
| 2,475
| 2,488
| 2,5
| 2,513
| 2,526
| 2,539
| 2,552
| 2,565
| 2,578
| 2,592
| 2,605
|
|
|
| 69°
| 2,605
| 2,619
| 2,633
| 2,646
| 2,66
| 2,675
| 2,689
| 2,703
| 2,718
| 2,733
| 2,747
|
|
|
|
| 70°
| 2,747
| 2,762
| 2,778
| 2,793
| 2,808
| 2,824
| 2,84
| 2,856
| 2,872
| 2,888
| 2,904
|
|
|
| 71°
| 2,904
| 2,921
| 2,937
| 2,954
| 2,971
| 2,989
| 3,006
| 3,024
| 3,042
| 3,06
| 3,078
|
|
|
| 72°
| 3,078
| 3,096
| 3,115
| 3,133
| 3,152
| 3,172
| 3,191
| 3,211
| 3,23
| 3,251
| 3,271
|
|
|
| 73°
| 3,271
| 3,291
| 3,312
| 3,333
| 3,354
| 3,376
|
|
|
|
|
| 3,398
| 3,42
| 3,442
| 3,465
| 3,487
|
|
|
| 74°
| 3,487
| 3,511
| 3,534
| 3,558
| 3,582
| 3,606
|
|
|
|
|
| 3,63
| 3,655
| 3,681
| 3,706
| 3,732
|
|
|
| 75°
| 3,732
| 3,758
| 3,785
| 3,812
| 3,839
| 3,867
|
|
|
|
|
| 3,895
| 3,923
| 3,952
| 3,981
| 4,011
|
|
|
| tg
| 60'
| 54'
| 48'
| 42'
| 36'
| 30'
| 24'
| 18'
| 12'
| 6'
| 0'
| 1'
| 2'
| 3'
|
tg
| 0'
| 1'
| 2'
| 3'
| 4'
| 5'
| 6'
| 7'
| 8'
| 9'
| 10'
| 76°00'
| 4,011
| 4,016
| 4,021
| 4,026
| 4,031
| 4,036
| 4,041
| 4,046
| 4,051
| 4,056
| 4,061
| 10'
| 4,061
| 4,066
| 4,071
| 4,076
| 4,082
| 4,087
| 4,092
| 4,097
| 4,102
| 4,107
| 4,113
| 20'
| 4,113
| 4,118
| 4,123
| 4,128
| 4,134
| 4,139
| 4,144
| 4,149
| 4,155
| 4,16
| 4,165
| 30'
| 4,165
| 4,171
| 4,176
| 4,181
| 4,187
| 4,192
| 4,198
| 4,203
| 4,208
| 4,214
| 4,219
| 40'
| 4,219
| 4,225
| 4,23
| 4,236
| 4,241
| 4,247
| 4,252
| 4,258
| 4,264
| 4,269
| 4,275
| 50'
| 4,275
| 4,28
| 4,286
| 4,292
| 4,297
| 4,303
| 4,309
| 4,314
| 4,32
| 4,326
| 4,331
|
| 77°00'
| 4,331
| 4,337
| 4,343
| 4,349
| 4,355
| 4,36
| 4,366
| 4,372
| 4,378
| 4,384
| 4,39
| 10'
| 4,39
| 4,396
| 4,402
| 4,407
| 4,413
| 4,419
| 4,425
| 4,431
| 4,437
| 4,443
| 4,449
| 20'
| 4,449
| 4,455
| 4,462
| 4,468
| 4,474
| 4,48
| 4,486
| 4,492
| 4,498
| 4,505
| 4,511
| 30'
| 4,511
| 4,517
| 4,523
| 4,529
| 4,536
| 4,542
| 4,548
| 4,555
| 4,561
| 4,567
| 4,574
| 40'
| 4,574
| 4,58
| 4,586
| 4,593
| 4,599
| 4,606
| 4,612
| 4,619
| 4,625
| 4,632
| 4,638
| 50'
| 4,638
| 4,645
| 4,651
| 4,658
| 4,665
| 4,671
| 4,678
| 4,685
| 4,691
| 4,698
| 4,705
|
| 78°00'
| 4,705
| 4,711
| 4,718
| 4,725
| 4,732
| 4,739
| 4,745
| 4,752
| 4,759
| 4,766
| 4,773
| 10'
| 4,773
| 4,78
| 4,787
| 4,794
| 4,801
| 4,808
| 4,815
| 4,822
| 4,829
| 4,836
| 4,843
| 20'
| 4,843
| 4,85
| 4,857
| 4,864
| 4,872
| 4,879
| 4,886
| 4,893
| 4,901
| 4,908
| 4,915
| 30'
| 4,915
| 4,922
| 4,93
| 4,937
| 4,945
| 4,952
| 4,959
| 4,967
| 4,974
| 4,982
| 4,989
| 40'
| 4,989
| 4,997
| 5,005
| 5,012
| 5,02
| 5,027
| 5,035
| 5,043
| 5,05
| 5,058
| 5,066
| 50'
| 5,066
| 5,074
| 5,081
| 5,089
| 5,097
| 5,105
| 5,113
| 5,121
| 5,129
| 5,137
| 5,145
|
| 79°00'
| 5,145
| 5,153
| 5,161
| 5,169
| 5,177
| 5,185
| 5,193
| 5,201
| 5,209
| 5,217
| 5,226
| 10'
| 5,226
| 5,234
| 5,242
| 5,25
| 5,259
| 5,267
| 5,276
| 5,284
| 5,292
| 5,301
| 5,309
| 20'
| 5,309
| 5,318
| 5,326
| 5,335
| 5,343
| 5,352
| 5,361
| 5,369
| 5,378
| 5,387
| 5,396
| 30'
| 5,396
| 5,404
| 5,413
| 5,422
| 5,431
| 5,44
| 5,449
| 5,458
| 5,466
| 5,475
| 5,485
| 40'
| 5,485
| 5,494
| 5,503
| 5,512
| 5,521
| 5,53
| 5,539
| 5,549
| 5,558
| 5,567
| 5,576
| 50'
| 5,576
| 5,586
| 5,595
| 5,605
| 5,614
| 5,623
| 5,633
| 5,642
| 5,652
| 5,662
| 5,671
|
| 80°00'
| 5,671
| 5,681
| 5,691
| 5,7
| 5,71
| 5,72
| 5,73
| 5,74
| 5,749
| 5,759
| 5,769
| 10'
| 5,769
| 5,779
| 5,789
| 5,799
| 5,81
| 5,82
| 5,83
| 5,84
| 5,85
| 5,861
| 5,871
| 20'
| 5,871
| 5,881
| 5,892
| 5,902
| 5,912
| 5,923
| 5,933
| 5,944
| 5,954
| 5,965
| 5,976
| 30'
| 5,976
| 5,986
| 5,997
| 6,008
| 6,019
| 6,03
| 6,041
| 6,051
| 6,062
| 6,073
| 6,084
| 40'
| 6,084
| 6,096
| 6,107
| 6,118
| 6,129
| 6,14
| 6,152
| 6,163
| 6,174
| 6,186
| 6,197
| 50'
| 6,197
| 6,209
| 6,22
| 6,232
| 6,243
| 6,255
| 6,267
| 6,278
| 6,29
| 6,302
| 6,314
|
| 81°00'
| 6,314
| 6,326
| 6,338
| 6,35
| 6,362
| 6,374
| 6,386
| 6,398
| 6,41
| 6,423
| 6,435
| 10'
| 6,435
| 6,447
| 6,46
| 6,472
| 6,485
| 6,497
| 6,51
| 6,522
| 6,535
| 6,548
| 6,561
| 20'
| 6,561
| 6,573
| 6,586
| 6,599
| 6,612
| 6,625
| 6,638
| 6,651
| 6,665
| 6,678
| 6,691
| 30'
| 6,691
| 6,704
| 6,718
| 6,731
| 6,745
| 6,758
| 6,772
| 6,786
| 6,799
| 6,813
| 6,827
| 40'
| 6,827
| 6,841
| 6,855
| 6,869
| 6,883
| 6,897
| 6,911
| 6,925
| 6,94
| 6,954
| 6,968
| 50'
| 6,968
| 6,983
| 6,997
| 7,012
| 7,026
| 7,041
| 7,056
| 7,071
| 7,085
| 7,1
| 7,115
|
| 82°00'
| 7,115
| 7,13
| 7,146
| 7,161
| 7,176
| 7,191
| 7,207
| 7,222
| 7,238
| 7,253
| 7,269
| 10'
| 7,269
| 7,284
| 7,3
| 7,316
| 7,332
| 7,348
| 7,363
| 7,38
| 7,396
| 7,412
| 7,429
| 20'
| 7,429
| 7,445
| 7,462
| 7,478
| 7,495
| 7,511
| 7,528
| 7,545
| 7,562
| 7,579
| 7,596
| 30'
| 7,596
| 7,613
| 7,63
| 7,647
| 7,665
| 7,682
| 7,7
| 7,717
| 7,735
| 7,753
| 7,77
| 40'
| 7,77
| 7,788
| 7,806
| 7,824
| 7,842
| 7,861
| 7,879
| 7,897
| 7,916
| 7,934
| 7,953
| 50'
| 7,953
| 7,972
| 7,991
| 8,009
| 8,028
| 8,048
| 8,067
| 8,086
| 8,105
| 8,125
| 8,144
|
| 83°00'
| 8,144
| 8,164
| 8,184
| 8,204
| 8,223
| 8,243
| 8,264
| 8,284
| 8,304
| 8,324
| 8,345
| 10'
| 8,345
| 8,366
| 8,386
| 8,407
| 8,428
| 8,449
| 8,47
| 8,491
| 8,513
| 8,534
| 8,556
| 20'
| 8,556
| 8,577
| 8,599
| 8,621
| 8,643
| 8,665
| 8,687
| 8,709
| 8,732
| 8,754
| 8,777
| 30'
| 8,777
| 8,8
| 8,823
| 8,846
| 8,869
| 8,892
| 8,915
| 8,939
| 8,962
| 8,986
| 9,01
| 40'
| 9,01
| 9,034
| 9,058
| 9,082
| 9,106
| 9,131
| 9,156
| 9,18
| 9,205
| 9,23
| 9,255
| 50'
| 9,255
| 9,281
| 9,306
| 9,332
| 9,357
| 9,383
| 9,409
| 9,435
| 9,461
| 9,488
| 9,514
|
| 84°00'
| 9,514
| 9,541
| 9,568
| 9,595
| 9,622
| 9,649
| 9,677
| 9,704
| 9,732
| 9,76
| 9,788
| 10'
| 9,788
| 9,816
| 9,845
| 9,873
| 9,902
| 9,931
| 9,96
| 9,989
| 10,02
| 10,05
| 10,08
| 20'
| 10,08
| 10,11
| 10,14
| 10,17
| 10,2
| 10,23
| 10,26
| 10,29
| 10,32
| 10,35
| 10,39
| 30'
| 10,39
| 10,42
| 10,45
| 10,48
| 10,51
| 10,55
| 10,58
| 10,61
| 10,64
| 10,68
| 10,71
| 40'
| 10,71
| 10,75
| 10,78
| 10,81
| 10,85
| 10,88
| 10,92
| 10,95
| 10,99
| 11,02
| 11,06
| 50'
| 11,06
| 11,1
| 11,13
| 11,17
| 11,2
| 11,24
| 11,28
| 11,32
| 11,35
| 11,39
| 11,43
|
| 85°00'
| 11,43
| 11,47
| 11,51
| 11,55
| 11,59
| 11,62
| 11,66
| 11,7
| 11,74
| 11,79
| 11,83
| 10'
| 11,83
| 11,87
| 11,91
| 11,95
| 11,99
| 12,03
| 12,08
| 12,12
| 12,16
| 12,21
| 12,25
| 20'
| 12,25
| 12,29
| 12,34
| 12,38
| 12,43
| 12,47
| 12,52
| 12,57
| 12,61
| 12,66
| 12,71
| 30'
| 12,71
| 12,75
| 12,8
| 12,85
| 12,9
| 12,95
|
| 13,05
| 13,1
| 13,15
| 13,2
| 40'
| 13,2
| 13,25
| 13,3
| 13,35
| 13,4
| 13,46
| 13,51
| 13,56
| 13,62
| 13,67
| 13,73
| 50'
| 13,73
| 13,78
| 13,84
| 13,89
| 13,95
| 14,01
| 14,07
| 14,12
| 14,18
| 14,24
| 14,3
|
| 86°00'
| 14,3
| 14,36
| 14,42
| 14,48
| 14,54
| 14,61
| 14,67
| 14,73
| 14,8
| 14,86
| 14,92
| 10'
| 14,92
| 14,99
| 15,06
| 15,12
| 15,19
| 15,26
| 15,33
| 15,39
| 15,46
| 15,53
| 15,6
| 20'
| 15,6
| 15,68
| 15,75
| 15,82
| 15,89
| 15,97
| 16,04
| 16,12
| 16,2
| 16,27
| 16,35
| 30'
| 16,35
| 16,43
| 16,51
| 16,59
| 16,67
| 16,75
| 16,83
| 16,92
|
| 17,08
| 17,17
| 40'
| 17,17
| 17,26
| 17,34
| 17,43
| 17,52
| 17,61
| 17,7
| 17,79
| 17,89
| 17,98
| 18,07
| 50'
| 18,07
| 18,17
| 18,27
| 18,37
| 18,46
| 18,56
| 18,67
| 18,77
| 18,87
| 18,98
| 19,08
|
| 87°00'
| 19,08
| 19,19
| 19,3
| 19,41
| 19,52
| 19,63
| 19,74
| 19,85
| 19,97
| 20,09
| 20,21
| 10'
| 20,21
| 20,33
| 20,45
| 20,57
| 20,69
| 20,82
| 20,95
| 21,07
| 21,2
| 21,34
| 21,47
| 20'
| 21,47
| 21,61
| 21,74
| 21,88
| 22,02
| 22,16
| 22,31
| 22,45
| 22,6
| 22,75
| 22,9
| 30'
| 22,9
| 23,06
| 23,21
| 23,37
| 23,53
| 23,69
| 23,86
| 24,03
| 24,2
| 24,37
| 24,54
| 40'
| 24,54
| 24,72
| 24,9
| 25,08
| 25,26
| 25,45
| 25,64
| 25,83
| 26,03
| 26,23
| 26,43
| 50'
| 26,43
| 26,64
| 26,84
| 27,06
| 27,27
| 27,49
| 27,71
| 27,94
| 28,17
| 28,4
| 28,64
|
| 88°00'
| 28,64
| 28,88
| 29,12
| 29,37
| 29,62
| 29,88
| 30,14
| 30,41
| 30,68
| 30,96
| 31,24
| 10'
| 31,24
| 31,53
| 31,82
| 32,12
| 32,42
| 32,73
| 33,05
| 33,37
| 33,69
| 34,03
| 34,37
| 20'
| 34,37
| 34,72
| 35,07
| 35,43
| 35,8
| 36,18
| 36,56
| 36,96
| 37,36
| 37,77
| 38,19
| 30'
| 38,19
| 38,62
| 39,06
| 39,51
| 39,97
| 40,44
| 40,92
| 41,41
| 41,92
| 42,43
| 42,96
| 40'
| 42,96
| 43,51
| 44,07
| 44,64
| 45,23
| 45,83
| 46,45
| 47,09
| 47,74
| 48,41
| 49,1
| 50'
| 49,1
| 49,82
| 50,55
| 51,3
| 52,08
| 52,88
| 53,71
| 54,56
| 55,44
| 56,35
| 57,29
|
| 89°00'
| 57,29
| 58,26
| 59,27
| 60,31
| 61,38
| 62,5
| 63,66
| 64,86
| 66,11
| 67,4
| 68,75
| 10'
| 68,75
| 70,15
| 71,62
| 73,14
| 74,73
| 76,39
| 78,13
| 79,94
| 81,85
| 83,84
| 85,94
| 20'
| 85,94
| 88,14
| 90,46
| 92,91
| 95,49
| 98,22
| 101,1
| 104,2
| 107,4
| 110,9
| 114,6
| 30'
| 114,6
| 118,5
| 122,8
| 127,3
| 132,2
| 137,5
| 143,2
| 149,5
| 156,3
| 163,7
| 171,9
| 40'
| 171,9
| 180,9
|
| 202,2
| 214,9
| 229,2
| 245,6
| 264,4
| 286,5
| 312,5
| 343,8
| 50'
| 343,8
|
| 429,7
| 491,1
|
| 687,5
| 859,4
|
|
|
|
| tg
| 10'
| 9'
| 8'
| 7'
| 6'
| 5'
| 4'
| 3'
| 2'
| 1'
| 0'
|
Приложение 4.
Справочные данные для стандартных профилей проката.
Приложение 5
Куб числа
Приложение 5 (продолжение)
Приложение 5 (продолжение)
Приложение 5 (продолжение)
Приложение 5 (продолжение)
Приложение 5 (продолжение)
Приложение 6
Основные формулы и зависимости «Сопротивления материалов»
Список литературы.
1. Феодосьев В.И. Сопротивление материалов – М. Наука, 1979-559с.
2. Писаренко Г.С. Сопротивление материалов – Киев. Высшая школа, 1973-667с.
3. Качурин В.К. Сборник задач по сопротивлению материалов – М. Наука, 1978-430с.
Сопротивление материалов
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