Tafeln für Erddruck- und Erdwiderstandsbeiwerte für ebene ... · Bergische Universität Wuppertal...
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Bergische Universität Wuppertal Lehr- und Forschungsgebiet Geotechnik Bodenmechanik Tafeln für Erddruck- und Erdwiderstandsbeiwerte für ebene Gleitflächen
Transcript of Tafeln für Erddruck- und Erdwiderstandsbeiwerte für ebene ... · Bergische Universität Wuppertal...
Bergische Universität Wuppertal
Lehr- und Forschungsgebiet Geotechnik
Bodenmechanik
Tafeln für Erddruck- und
Erdwiderstandsbeiwerte
für ebene Gleitflächen
Bergische Universität Wuppertal
Lehr- und Forschungsgebiet Geotechnik
Bodenmechanik
Seite 2 von 25
Inhaltsverzeichnis:
1 Vorzeichenregeln für �, � und � bei der Anwendung der Tabellen ...................... 3
2 Tafeln für die Erddruckbeiwerte zum aktiven Erddruck nach Coulomb
(ebene Gleitflächen) ..................................................................................................... 4
3 Tafeln zum passiven Erddruck nach Coulomb (ebene Gleitfläche) ....................... 15
Bergische Universität Wuppertal
Lehr- und Forschungsgebiet Geotechnik
Bodenmechanik
Seite 3 von 25
1 Vorzeichenregeln für αααα, ββββ und δδδδ bei der Anwendung der Tabellen
Die in den Tabellen der Kapitel 2 bis 4 vereinbarten Vorzeichen für α, β und δ sind der Abb. 1 zu
entnehmen.
Abb. 1: Vorzeichenregeln für die Berechnung des aktiven und passiven Erddrucks
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-10
0,60180,64300,9800
71,31
0,55030,58800,9137
66,51
0,52810,56430,8806
64,42
0,50760,54240,8476
62,50
0,47040,50260,7816
59,01
00,69090,69091,1536
62,50
0,64270,64271,0658
57,60
0,62150,62151,0227
55,55
0,60180,60180,9800
53,69
0,56530,56530,8961
50,41
10
0,84080,79011,3373
45,71
0,80340,75491,2233
41,73
0,78650,73911,1682
40,16
0,77040,72391,1142
38,78
0,73990,69531,0095
36,42
-10
0,56670,58481,1536
64,47
0,52280,53951,0839
60,63
0,50410,52021,0492
59,00
0,48690,50251,0147
57,50
0,45590,47060,9460
54,82
00,64170,64171,3373
57,50
0,60080,60081,2440
53,60
0,58310,58311,1985
51,98
0,56670,56671,1536
50,53
0,53670,53671,0658
47,97
10
0,77190,74861,5347
43,65
0,74030,71801,4119
40,35
0,72620,70431,3531
39,04
0,71300,69151,2957
37,90
0,68830,66751,1852
35,94
-10
0,52490,52491,3373
58,01
0,48720,48721,2635
54,95
0,47130,47131,2270
53,66
0,45680,45681,1907
52,50
0,43100,43101,1186
50,44
00,58880,58881,5347
52,50
0,55370,55371,4340
49,40
0,53870,53871,3852
48,13
0,52490,52491,3373
46,99
0,50000,50001,2440
45,00
10
0,70380,70381,7500
41,13
0,67660,67661,6148
38,43
0,66460,66461,5506
37,37
0,65350,65351,4884
36,43
0,63300,63301,3693
34,84
-10
0,47640,46211,5347
51,81
0,44410,43071,4562
49,39
0,43070,41771,4174
48,40
0,41850,40591,3789
47,50
0,39700,38501,3028
45,93
00,53110,53111,7500
47,50
0,50080,50081,6398
45,07
0,48810,48811,5866
44,08
0,47640,47641,5347
43,19
0,45580,45581,4340
41,67
10
0,63360,65401,9887
38,28
0,60990,62941,8363
36,12
0,59960,61881,7646
35,26
0,59010,60911,6956
34,51
0,57300,59141,5646
33,25
-10
0,42080,39541,7500
45,79
0,39340,36971,6663
43,93
0,38220,35911,6249
43,18
0,37210,34961,5839
42,50
0,35450,33311,5029
41,33
00,46710,46711,9887
42,50
0,44130,44131,8660
40,63
0,43050,43051,8072
39,88
0,42080,42081,7500
39,21
0,40380,40381,6398
38,07
10
0,55850,59682,2573
35,19
0,53770,57462,0811
33,49
0,52890,56521,9991
32,83
0,52090,55661,9208
32,25
0,50660,54131,7736
31,27
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0,51530,58210,8319
75,61
0,46210,52200,7738
71,10
0,43940,49630,7443
69,10
0,41850,47280,7145
67,23
0,38080,43010,6539
63,75
-10
0,56610,60490,9508
71,30
0,51300,54820,8780
66,62
0,49010,52370,8415
64,58
0,46890,50110,8050
62,68
0,43020,45970,7316
59,21
00,64870,64871,1142
63,75
0,59760,59761,0181
59,00
0,57520,57520,9709
57,00
0,55430,55430,9242
55,17
0,51530,51530,8319
51,89
10
0,77720,73041,2851
50,99
0,73330,68911,1612
46,82
0,71360,67051,1013
45,15
0,69480,65291,0428
43,65
0,65910,61940,9290
41,05
17,5
1,13031,01401,4200
17,50
1,13031,01401,2713
17,50
1,13031,01401,2005
17,50
1,13031,01401,1318
17,50
1,13031,01401,0001
17,50
-17,5
0,48580,51440,9911
67,99
0,44100,46700,9310
64,38
0,42210,44690,9006
62,82
0,40480,42860,8699
61,38
0,37380,39580,8076
58,75
-10
0,52660,54351,1142
64,68
0,48220,49771,0384
60,97
0,46330,47821,0006
59,39
0,44590,46020,9629
57,93
0,41450,42780,8874
55,31
00,59480,59481,2851
58,75
0,55240,55241,1843
55,01
0,53400,53401,1350
53,45
0,51700,51701,0865
52,03
0,48580,48580,9911
49,51
10
0,70430,68301,4665
48,35
0,66800,64781,3347
44,98
0,65190,63221,2716
43,62
0,63680,61761,2102
42,41
0,60860,59021,0918
40,32
17,5
1,01350,96011,6113
17,50
1,01350,96011,4514
17,50
1,01350,96011,3761
17,50
1,01350,96011,3034
17,50
1,01350,96011,1653
17,50
-17,5
0,44780,44781,1561
60,92
0,41010,41011,0942
58,06
0,39430,39431,0629
56,85
0,38000,38001,0314
55,74
0,35470,35470,9674
53,75
-10
0,48080,48081,2851
58,39
0,44350,44351,2060
55,47
0,42780,42781,1667
54,24
0,41360,41361,1275
53,12
0,38800,38801,0494
51,14
00,53760,53761,4665
53,75
0,50200,50201,3592
50,81
0,48690,48691,3071
49,60
0,47290,47291,2559
48,50
0,44780,44781,1561
46,58
10
0,63200,63201,6616
45,33
0,60150,60151,5185
42,62
0,58820,58821,4507
41,54
0,57580,57581,3849
40,58
0,55310,55311,2593
38,92
17,5
0,90960,90961,8192
17,50
0,90960,90961,6428
17,50
0,90960,90961,5606
17,50
0,90960,90961,4819
17,50
0,90960,90961,3339
17,50
-17,5
0,40220,38101,3293
54,24
0,37070,35121,2662
52,01
0,35770,33891,2342
51,08
0,34610,32781,2018
50,24
0,32560,30841,1362
48,75
-10
0,42880,41591,4665
52,33
0,39770,38571,3837
50,06
0,38480,37321,3426
49,12
0,37310,36191,3017
48,28
0,35260,34201,2203
46,79
00,47610,47611,6616
48,75
0,44630,44631,5459
46,47
0,43380,43381,4900
45,54
0,42240,42241,4354
44,71
0,40220,40221,3293
43,26
10
0,55780,57571,8742
42,02
0,53200,54911,7155
39,89
0,52100,53771,6410
39,05
0,51080,52721,5693
38,30
0,49250,50831,4335
37,02
17,5
0,81130,85902,0475
17,50
0,81130,85901,8477
17,50
0,81130,85901,7559
17,50
0,81130,85901,6688
17,50
0,81130,85901,5067
17,50
-17,5
0,34920,31331,5138
47,84
0,32350,29021,4504
46,15
0,31310,28091,4179
45,45
0,30380,27251,3849
44,83
0,28770,25801,3179
43,75
-10
0,37030,34801,6616
46,44
0,34490,32411,5750
44,72
0,33450,31431,5319
44,03
0,32520,30561,4890
43,40
0,30900,29041,4038
42,32
00,40910,40911,8742
43,75
0,38450,38451,7478
42,03
0,37440,37441,6871
41,33
0,36520,36521,6280
40,72
0,34920,34921,5138
39,66
10
0,47920,51212,1082
38,51
0,45760,48891,9283
36,88
0,44850,47921,8448
36,24
0,44020,47041,7650
35,68
0,42560,45481,6154
34,72
17,5
0,71280,80522,2999
17,50
0,71280,80522,0674
17,50
0,71280,80521,9623
17,50
0,71280,80521,8635
17,50
0,71280,80521,6822
17,50
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0,46980,54150,7715
76,63
0,41640,48000,7137
72,27
0,39370,45380,6840
70,32
0,37280,42970,6538
68,48
0,33480,38600,5913
65,00
-10
0,53240,56900,9216
71,55
0,47850,51130,8433
67,00
0,45520,48640,8038
65,00
0,43350,46330,7642
63,13
0,39370,42070,6840
59,68
00,60870,60871,0750
65,00
0,55570,55570,9723
60,41
0,53240,53240,9216
58,45
0,51060,51060,8713
56,65
0,46980,46980,7715
53,37
10
0,72090,67751,2339
54,84
0,67260,63201,1020
50,65
0,65090,61161,0383
48,93
0,63020,59220,9759
47,37
0,59070,55510,8543
44,63
20
1,13251,00001,4004
20,00
1,13251,00001,2336
20,00
1,13251,00001,1547
20,00
1,13251,00001,0784
20,00
1,13251,00000,9326
20,00
-20
0,43990,47010,9216
68,95
0,39570,42290,8626
65,49
0,37710,40300,8323
63,98
0,36010,38480,8014
62,58
0,32950,35200,7379
60,00
-10
0,48910,50481,0750
65,09
0,44490,45920,9945
61,53
0,42600,43970,9542
60,00
0,40870,42180,9137
58,59
0,37710,38920,8323
56,02
00,55090,55091,2339
60,00
0,50780,50781,1273
56,41
0,48910,48911,0750
54,91
0,47180,47181,0234
53,53
0,43990,43990,9216
51,05
10
0,64460,62511,4004
51,81
0,60540,58711,2619
48,47
0,58810,57041,1955
47,10
0,57190,55461,1309
45,88
0,54140,52511,0060
43,72
20
1,00000,93971,5770
20,00
1,00000,93971,3992
20,00
1,00000,93971,3160
20,00
1,00000,93971,2361
20,00
1,00000,93971,0851
20,00
-20
0,40110,40111,0750
61,85
0,36470,36471,0155
59,14
0,34960,34960,9848
57,98
0,33580,33580,9536
56,92
0,31140,31140,8893
55,00
-10
0,44000,44001,2339
58,94
0,40370,40371,1510
56,17
0,38840,38841,1095
55,00
0,37450,37451,0680
53,93
0,34960,34960,9848
52,02
00,49030,49031,4004
55,00
0,45500,45501,2884
52,21
0,44000,44001,2339
51,06
0,42610,42611,1802
50,01
0,40110,40111,0750
48,15
10
0,56920,56921,5770
48,44
0,53710,53711,4286
45,81
0,52310,52311,3582
44,74
0,51020,51021,2900
43,79
0,48650,48651,1595
42,12
20
0,88300,88301,7660
20,00
0,88300,88301,5716
20,00
0,88300,88301,4819
20,00
0,88300,88301,3964
20,00
0,88300,88301,2366
20,00
-20
0,35490,33351,2339
55,16
0,32540,30571,1747
53,07
0,31320,29431,1440
52,20
0,30230,28411,1127
51,41
0,28310,26601,0480
50,00
-10
0,38530,37371,4004
53,00
0,35590,34511,3150
50,88
0,34370,33331,2723
50,00
0,33270,32271,2295
49,21
0,31320,30381,1440
47,80
00,42600,42601,5770
50,00
0,39730,39731,4580
47,87
0,38530,38531,4004
47,00
0,37440,37441,3439
46,21
0,35490,35491,2339
44,84
10
0,49230,50811,7660
44,84
0,46600,48091,6040
42,80
0,45480,46941,5280
41,99
0,44450,45881,4548
41,26
0,42600,43971,3160
40,00
20
0,77330,82641,9696
20,00
0,77330,82641,7518
20,00
0,77330,82641,6527
20,00
0,77330,82641,5592
20,00
0,77330,82641,3868
20,00
-20
0,30190,26661,4004
48,77
0,27860,24601,3432
47,21
0,26920,23771,3131
46,57
0,26080,23031,2820
46,00
0,24620,21741,2174
45,00
-10
0,32500,30541,5770
47,22
0,30180,28361,4894
45,64
0,29230,27471,4454
45,00
0,28390,26681,4013
44,43
0,26920,25291,3131
43,43
00,35720,35721,7660
45,00
0,33440,33441,6385
43,42
0,32500,32501,5770
42,78
0,31660,31661,5169
42,22
0,30190,30191,4004
41,23
10
0,41190,44021,9696
41,05
0,39080,41761,7894
39,53
0,38190,40811,7057
38,93
0,37400,39961,6258
38,39
0,35980,38451,4758
37,48
20
0,66460,76602,1880
20,00
0,66460,76601,9376
20,00
0,66460,76601,8259
20,00
0,66460,76601,7216
20,00
0,66460,76601,5321
20,00
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0,44190,50940,7501
76,60
0,38880,44820,6888
72,34
0,36610,42200,6570
70,42
0,34520,39790,6243
68,59
0,30670,35360,5563
65,10
-10
0,50060,53490,8923
71,98
0,44630,47690,8095
67,56
0,42280,45180,7675
65,61
0,40090,42840,7251
63,78
0,36020,38490,6386
60,32
00,57080,57081,0362
66,25
0,51660,51660,9281
61,81
0,49280,49280,8745
59,90
0,47040,47040,8211
58,12
0,42810,42810,7146
54,83
10
0,66970,62931,1837
57,92
0,61840,58111,0456
53,77
0,59530,55940,9787
52,04
0,57330,53870,9131
50,46
0,53090,49890,7848
47,60
20
0,88010,77711,3364
40,37
0,84470,74591,1628
37,85
0,82800,73121,0807
36,86
0,81170,71681,0012
35,97
0,77900,68790,8492
34,42
-20
0,40880,43680,8923
69,13
0,36560,39070,8305
65,79
0,34740,37120,7984
64,34
0,33070,35340,7655
62,97
0,30040,32100,6971
60,42
-10
0,45400,46851,0362
65,67
0,41040,42360,9521
62,25
0,39180,40440,9097
60,77
0,37460,38660,8668
59,40
0,34310,35410,7800
56,87
00,50970,50971,1837
61,25
0,46660,46661,0727
57,82
0,44790,44791,0181
56,36
0,43050,43050,9639
55,02
0,39830,39830,8567
52,58
10
0,59060,57281,3364
54,60
0,54990,53331,1929
51,34
0,53200,51591,1241
49,99
0,51510,49961,0570
48,77
0,48330,46870,9270
46,58
20
0,76800,72171,4959
39,58
0,74010,69541,3131
37,45
0,72720,68341,2277
36,61
0,71490,67181,1456
35,86
0,69090,64920,9903
34,57
-20
0,36720,36721,0362
62,21
0,33250,33250,9748
59,63
0,31810,31810,9427
58,53
0,30490,30490,9098
57,51
0,28130,28130,8415
55,65
-10
0,40210,40211,1837
59,63
0,36720,36721,0982
57,00
0,35260,35261,0551
55,89
0,33920,33921,0117
54,87
0,31500,31500,9242
53,02
00,44650,44651,3364
56,25
0,41200,41201,2213
53,61
0,39740,39741,1650
52,51
0,38390,38391,1094
51,51
0,35930,35931,0000
49,71
10
0,51290,51291,4959
50,99
0,48040,48041,3443
48,46
0,46640,46641,2723
47,42
0,45330,45331,2025
46,49
0,42920,42921,0684
44,83
20
0,66460,66461,6638
38,35
0,64210,64211,4668
36,60
0,63200,63201,3759
35,91
0,62240,62241,2894
35,30
0,60430,60431,1276
34,25
-20
0,31900,29981,1837
55,68
0,29160,27401,1237
53,72
0,28040,26341,0921
52,90
0,27020,25391,0595
52,16
0,25230,23710,9916
50,82
-10
0,34550,33511,3364
53,79
0,31800,30851,2497
51,81
0,30670,29741,2059
50,99
0,29640,28751,1618
50,24
0,27820,26981,0730
48,91
00,38040,38041,4959
51,25
0,35320,35321,3755
49,26
0,34190,34191,3169
48,45
0,33160,33161,2593
47,71
0,31310,31311,1464
46,41
10
0,43450,44851,6638
47,17
0,40870,42191,5008
45,25
0,39780,41061,4242
44,47
0,38780,40031,3503
43,77
0,36970,38161,2100
42,55
20
0,56440,60321,8404
36,77
0,54620,58371,6233
35,38
0,53830,57521,5248
34,83
0,53080,56721,4318
34,35
0,51710,55251,2602
33,52
-20
0,26490,23391,3364
49,42
0,24400,21551,2798
47,99
0,23570,20811,2494
47,41
0,22820,20151,2176
46,88
0,21520,19001,1508
45,96
-10
0,28430,26721,4959
48,09
0,26350,24761,4087
46,65
0,25500,23961,3644
46,06
0,24740,23251,3197
45,54
0,23420,22001,2294
44,61
00,31090,31091,6638
46,25
0,29010,29011,5371
44,81
0,28160,28161,4755
44,22
0,27400,27401,4152
43,70
0,26060,26061,2976
42,79
10
0,35380,37811,8404
43,19
0,33390,35681,6625
41,79
0,32570,34801,5798
41,22
0,31820,34011,5006
40,72
0,30500,32601,3515
39,86
20
0,46360,53442,0241
34,91
0,44910,51771,7796
33,85
0,44290,51061,6707
33,43
0,43720,50401,5690
33,07
0,42700,49221,3842
32,45
100-10
-20
δa =
1/2∗ϕδ
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20
α°
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δa =
0°δ
a = 1/3∗ϕ
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beiw
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kaph
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-20
0,41570,47910,7284
76,76
0,36320,41860,6643
72,60
0,34070,39270,6306
70,72
0,31980,36860,5958
68,91
0,28100,32390,5224
65,40
-10
0,47040,50260,8629
72,55
0,41630,44490,7765
68,28
0,39280,41980,7323
66,37
0,37080,39630,6874
64,56
0,32940,35200,5951
61,10
00,53470,53470,9978
67,50
0,48020,48020,8853
63,21
0,45610,45610,8293
61,34
0,43330,43330,7733
59,59
0,38980,38980,6608
56,29
10
0,62240,58481,1344
60,53
0,56930,53500,9916
56,46
0,54540,51250,9222
54,73
0,52240,49090,8539
53,13
0,47790,44900,7198
50,20
20
0,78310,69151,2741
47,90
0,73890,65251,0957
44,82
0,71830,63431,0112
43,57
0,69820,61650,9294
42,44
0,65760,58070,7723
40,42
-20
0,37960,40560,8629
69,48
0,33780,36100,7990
66,27
0,32010,34210,7655
64,85
0,30380,32470,7308
63,52
0,27400,29280,6579
61,01
-10
0,42090,43440,9978
66,36
0,37840,39060,9110
63,08
0,36020,37180,8668
61,66
0,34340,35440,8220
60,33
0,31220,32220,7304
57,84
00,47100,47101,1344
62,50
0,42850,42851,0204
59,22
0,41000,41000,9639
57,82
0,39280,39280,9078
56,51
0,36050,36050,7957
54,11
10
0,54120,52491,2741
56,99
0,50000,48491,1276
53,84
0,48190,46731,0570
52,51
0,46470,45070,9880
51,30
0,43220,41910,8537
49,10
20
0,67380,63321,4181
46,43
0,63970,60111,2325
43,93
0,62420,58651,1456
42,92
0,60930,57251,0622
42,01
0,58020,54520,9038
40,39
-20
0,33580,33580,9978
62,71
0,30300,30300,9352
60,26
0,28930,28930,9021
59,21
0,27680,27680,8679
58,24
0,25420,25420,7959
56,44
-10
0,36700,36701,1344
60,42
0,33380,33381,0474
57,93
0,31980,31981,0032
56,88
0,30700,30700,9583
55,90
0,28370,28370,8670
54,12
00,40590,40591,2741
57,50
0,37270,37271,1574
55,01
0,35870,35871,1000
53,97
0,34570,34571,0431
53,01
0,32180,32180,9302
51,26
10
0,46210,46211,4181
53,19
0,43000,43001,2651
50,78
0,41620,41621,1922
49,78
0,40330,40331,1214
48,88
0,37940,37940,9848
47,24
20
0,57230,57231,5668
44,51
0,54560,54561,3695
42,53
0,53380,53381,2785
41,73
0,52260,52261,1917
41,01
0,50130,50131,0291
39,75
-20
0,28610,26881,1344
56,31
0,26100,24521,0745
54,49
0,25060,23551,0424
53,72
0,24130,22681,0089
53,02
0,22470,21120,9383
51,76
-10
0,30910,29981,2741
54,66
0,28370,27521,1873
52,82
0,27330,26501,1430
52,05
0,26380,25581,0981
51,35
0,24680,23931,0067
50,09
00,33870,33871,4181
52,50
0,31340,31341,2978
50,66
0,30290,30291,2389
49,89
0,29330,29331,1806
49,20
0,27600,27601,0658
47,97
10
0,38310,39541,5668
49,21
0,35850,37011,4049
47,41
0,34820,35931,3285
46,68
0,33860,34951,2547
46,01
0,32130,33161,1138
44,84
20
0,47430,50681,7196
42,25
0,45350,48461,5058
40,72
0,44450,47501,4086
40,11
0,43610,46601,3169
39,57
0,42060,44951,1473
38,62
-20
0,23150,20441,2741
50,17
0,21310,18821,2192
48,87
0,20580,18171,1888
48,34
0,19910,17591,1567
47,86
0,18760,16561,0881
47,00
-10
0,24770,23281,4181
49,03
0,22920,21541,3326
47,72
0,22170,20841,2884
47,19
0,21500,20211,2436
46,71
0,20320,19101,1520
45,85
00,26940,26941,5668
47,50
0,25090,25091,4425
46,19
0,24330,24331,3816
45,66
0,23650,23651,3216
45,18
0,22450,22451,2038
44,34
10
0,30320,32401,7196
45,08
0,28500,30461,5461
43,80
0,27750,29661,4650
43,28
0,27080,28931,3872
42,82
0,25870,27651,2400
42,01
20
0,37660,43411,8734
39,70
0,36090,41601,6372
38,58
0,35420,40831,5318
38,14
0,34820,40131,4335
37,74
0,33720,38871,2542
37,07
100-10
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δa =
1/2∗ϕδ
a = 2/3∗ϕ
δa =
ϕ
20
α°
β°
δa =
0°δ
a = 1/3∗ϕ
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der E
rdd
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beiw
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d d
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0,39080,45050,7064
77,06
0,33930,39110,6400
73,02
0,31710,36550,6048
71,18
0,29630,34160,5680
69,39
0,25720,29650,4894
65,85
-10
0,44160,47190,8334
73,23
0,38820,41480,7443
69,10
0,36490,38990,6982
67,24
0,34290,36640,6511
65,45
0,30100,32160,5533
61,98
00,50050,50050,9596
68,75
0,44610,44610,8440
64,61
0,42200,42200,7860
62,79
0,39900,39900,7277
61,06
0,35460,35460,6096
57,73
10
0,57840,54351,0860
62,82
0,52440,49280,9398
58,86
0,50000,46990,8685
57,15
0,47650,44780,7981
55,55
0,43030,40430,6589
52,53
20
0,70870,62581,2136
53,08
0,65990,58271,0321
49,78
0,63720,56270,9460
48,41
0,61490,54300,8623
47,14
0,56970,50310,7011
44,82
-20
0,35220,37640,8334
69,94
0,31200,33340,7682
66,87
0,29500,31520,7334
65,50
0,27920,29830,6972
64,21
0,24980,26700,6200
61,73
-10
0,38980,40230,9596
67,13
0,34870,35990,8711
64,01
0,33110,34170,8256
62,64
0,31460,32470,7791
61,34
0,28380,29290,6831
58,89
00,43470,43471,0860
63,75
0,39320,39320,9701
60,62
0,37510,37510,9123
59,27
0,35820,35820,8545
58,00
0,32610,32610,7383
55,62
10
0,49570,48081,2136
59,11
0,45480,44111,0654
56,08
0,43670,42360,9937
54,79
0,41960,40690,9233
53,60
0,38680,37510,7856
51,38
20
0,60090,56471,3432
51,11
0,56400,53001,1566
48,50
0,54730,51431,0691
47,42
0,53130,49920,9849
46,43
0,49970,46960,8245
44,64
-20
0,30660,30660,9596
63,32
0,27580,27580,8966
61,01
0,26300,26300,8628
60,01
0,25110,25110,8275
59,08
0,22960,22960,7522
57,33
-10
0,33420,33421,0860
61,28
0,30300,30300,9985
58,94
0,28980,28980,9534
57,94
0,27760,27760,9075
57,01
0,25530,25530,8129
55,28
00,36820,36821,2136
58,75
0,33680,33681,0966
56,41
0,32340,32341,0385
55,42
0,31090,31090,9806
54,50
0,28790,28790,8650
52,81
10
0,41590,41591,3432
55,17
0,38490,38491,1905
52,89
0,37150,37151,1174
51,93
0,35900,35901,0460
51,05
0,33570,33570,9078
49,45
20
0,50090,50091,4746
48,72
0,47290,47291,2789
46,69
0,46050,46051,1885
45,86
0,44880,44881,1022
45,11
0,42650,42650,9397
43,77
-20
0,25590,24051,0860
57,04
0,23310,21901,0269
55,34
0,22370,21020,9946
54,63
0,21520,20220,9605
53,98
0,19990,18780,8875
52,78
-10
0,27570,26741,2136
55,59
0,25260,24501,1278
53,89
0,24300,23571,0833
53,17
0,23430,22721,0379
52,52
0,21860,21200,9444
51,33
00,30080,30081,3432
53,75
0,27750,27751,2243
52,04
0,26780,26781,1656
51,33
0,25900,25901,1071
50,69
0,24290,24290,9911
49,51
10
0,33720,34801,4746
51,06
0,31420,32431,3153
49,39
0,30450,31431,2398
48,70
0,29560,30511,1665
48,07
0,27930,28831,0259
46,95
20
0,40500,43281,6064
45,99
0,38400,41031,3976
44,47
0,37500,40071,3026
43,86
0,36660,39171,2127
43,31
0,35100,37511,0458
42,33
-20
0,20140,17791,2136
51,00
0,18540,16381,1610
49,82
0,17900,15811,1310
49,34
0,17320,15301,0989
48,90
0,16300,14401,0289
48,12
-10
0,21480,20191,3432
50,03
0,19870,18671,2604
48,84
0,19210,18051,2169
48,36
0,18620,17501,1722
47,92
0,17580,16521,0798
47,14
00,23240,23241,4746
48,75
0,21610,21611,3541
47,57
0,20950,20951,2944
47,08
0,20350,20351,2351
46,65
0,19280,19281,1177
45,87
10
0,25890,27661,6064
46,82
0,24270,25931,4388
45,65
0,23600,25221,3599
45,18
0,23000,24581,2839
44,76
0,21920,23421,1394
44,01
20
0,31090,35841,7344
43,00
0,29580,34101,5081
41,93
0,28950,33371,4069
41,50
0,28370,32711,3122
41,11
0,27330,31501,1390
40,44
δa =
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20
α°
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100-10
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0,36720,42330,6840
77,48
0,31700,36540,6161
73,57
0,29510,34020,5794
71,77
0,27460,31650,5408
70,00
0,23530,27120,4573
66,43
-10
0,41420,44260,8038
73,98
0,36180,38670,7127
70,00
0,33880,36210,6651
68,19
0,31700,33870,6161
66,43
0,27460,29340,5130
62,92
00,46790,46790,9216
70,00
0,41420,41420,8038
66,02
0,39020,39020,7443
64,23
0,36720,36720,6840
62,52
0,32210,32210,5609
59,16
10
0,53720,50481,0383
64,91
0,48320,45400,8901
61,05
0,45860,43100,8174
59,37
0,43480,40860,7452
57,77
0,38730,36390,6015
54,68
20
0,64590,57041,1547
57,10
0,59470,52510,9717
53,72
0,57080,50400,8845
52,28
0,54720,48320,7995
50,94
0,49890,44060,6349
48,41
-20
0,32640,34880,8038
70,52
0,28810,30780,7379
67,57
0,27170,29030,7022
66,26
0,25640,27390,6646
65,00
0,22760,24320,5834
62,54
-10
0,36050,37200,9216
67,98
0,32100,33130,8323
65,00
0,30400,31380,7857
63,68
0,28810,29730,7379
62,43
0,25780,26600,6379
60,00
00,40050,40051,0383
65,00
0,36050,36050,9216
62,02
0,34290,34290,8629
60,72
0,32640,32640,8038
59,48
0,29470,29470,6840
57,13
10
0,45360,44001,1547
61,06
0,41360,40111,0060
58,15
0,39590,38390,9337
56,90
0,37900,36750,8625
55,73
0,34610,33570,7220
53,51
20
0,53940,50691,2710
54,74
0,50160,47131,0851
52,12
0,48450,45520,9976
51,02
0,46790,43970,9131
50,00
0,43520,40890,7513
48,11
-20
0,27940,27940,9216
64,02
0,25080,25080,8590
61,84
0,23870,23870,8247
60,89
0,22760,22760,7885
60,00
0,20710,20710,7102
58,31
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0,30380,30381,0383
62,20
0,27460,27460,9512
60,00
0,26220,26220,9057
59,05
0,25080,25080,8590
58,16
0,22950,22950,7616
56,49
00,33330,33331,1547
60,00
0,30380,30381,0383
57,80
0,29110,29110,9800
56,86
0,27940,27940,9216
55,98
0,25740,25740,8038
54,34
10
0,37370,37371,2710
57,00
0,34420,34421,1199
54,84
0,33150,33151,0471
53,93
0,31950,31950,9757
53,08
0,29690,29690,8365
51,51
20
0,44110,44111,3868
51,99
0,41320,41321,1944
50,00
0,40090,40091,1051
49,18
0,38920,38921,0196
48,42
0,36680,36680,8580
47,04
-20
0,22820,21441,0383
57,84
0,20760,19510,9808
56,27
0,19920,18710,9485
55,61
0,19140,17990,9141
55,00
0,17740,16670,8391
53,87
-10
0,24510,23771,1547
56,57
0,22420,21741,0706
55,00
0,21550,20901,0263
54,34
0,20760,20140,9808
53,73
0,19320,18740,8857
52,60
00,26620,26621,2710
55,00
0,24510,24511,1547
53,43
0,23630,23631,0965
52,77
0,22820,22821,0383
52,16
0,21340,21340,9216
51,05
10
0,29590,30541,3868
52,78
0,27490,28371,2315
51,23
0,26600,27451,1573
50,59
0,25780,26601,0851
50,00
0,24260,25040,9454
48,93
20
0,34780,37161,5000
48,93
0,32760,35011,2978
47,48
0,31900,34091,2054
46,88
0,31100,33231,1177
46,34
0,29590,31620,9542
45,37
-20
0,17430,15391,1547
51,89
0,16060,14181,1050
50,83
0,15500,13691,0756
50,40
0,15000,13251,0437
50,00
0,14110,12460,9728
49,28
-10
0,18520,17411,2710
51,06
0,17130,16101,1918
50,00
0,16570,15571,1492
49,56
0,16060,15091,1050
49,17
0,15150,14231,0122
48,45
00,19930,19931,3868
50,00
0,18520,18521,2710
48,94
0,17950,17951,2129
48,50
0,17430,17431,1547
48,11
0,16500,16501,0383
47,40
10
0,22000,23511,5000
48,45
0,20580,22001,3394
47,40
0,20000,21371,2632
46,97
0,19480,20811,1895
46,58
0,18520,19791,0480
45,89
20
0,25780,29711,6056
45,63
0,24410,28131,3905
44,63
0,23830,27471,2938
44,23
0,23310,26871,2031
43,86
0,22360,25781,0361
43,22
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0,34470,39740,6614
78,00
0,29600,34110,5924
74,22
0,27460,31650,5545
72,46
0,25430,29320,5143
70,71
0,21480,24760,4258
67,10
-10
0,38800,41460,7741
74,81
0,33700,36020,6817
70,97
0,31440,33600,6329
69,20
0,29280,31290,5822
67,47
0,25010,26720,4741
63,92
00,43690,43690,8839
71,25
0,38430,38430,7649
67,42
0,36060,36060,7041
65,68
0,33770,33770,6422
63,98
0,29200,29200,5144
60,58
10
0,49860,46850,9914
66,83
0,44510,41830,8423
63,10
0,42070,39530,7686
61,44
0,39680,37280,6950
59,85
0,34820,32720,5474
56,69
20
0,59070,52161,0972
60,43
0,53840,47540,9141
57,04
0,51400,45380,8263
55,57
0,48970,43240,7406
54,18
0,43920,38780,5732
51,48
-20
0,30200,32280,7741
71,17
0,26570,28390,7080
68,36
0,25000,26710,6716
67,10
0,23530,25140,6329
65,88
0,20720,22140,5479
63,44
-10
0,33280,34340,8839
68,88
0,29520,30470,7944
66,05
0,27890,28790,7472
64,78
0,26350,27200,6982
63,56
0,23380,24130,5945
61,16
00,36840,36840,9914
66,25
0,33010,33010,8748
63,42
0,31320,31320,8156
62,16
0,29720,29720,7556
60,97
0,26600,26600,6326
58,63
10
0,41460,40211,0972
62,87
0,37590,36460,9493
60,09
0,35870,34790,8769
58,88
0,34220,33190,8051
57,73
0,30970,30030,6624
55,51
20
0,48560,45631,2014
57,76
0,44790,42091,0174
55,18
0,43080,40490,9304
54,08
0,41430,38930,8461
53,05
0,38100,35810,6836
51,08
-20
0,25400,25400,8839
64,78
0,22750,22750,8221
62,74
0,21640,21640,7876
61,84
0,20600,20600,7508
60,99
0,18660,18660,6697
59,36
-10
0,27540,27540,9914
63,17
0,24840,24840,9053
61,11
0,23690,23690,8598
60,21
0,22610,22610,8125
59,36
0,20590,20590,7126
57,74
00,30100,30101,0972
61,25
0,27350,27350,9825
59,19
0,26170,26170,9244
58,30
0,25060,25060,8657
57,47
0,22970,22970,7463
55,87
10
0,33510,33511,2014
58,71
0,30740,30741,0529
56,68
0,29540,29540,9809
55,82
0,28410,28410,9099
55,01
0,26250,26250,7701
53,47
20
0,38930,38931,3030
54,72
0,36230,36231,1151
52,81
0,35040,35041,0275
52,00
0,33910,33910,9433
51,26
0,31720,31720,7831
49,86
-20
0,20270,19040,9914
58,70
0,18440,17320,9359
57,26
0,17680,16610,9040
56,65
0,16980,15960,8694
56,08
0,15710,14760,7927
55,01
-10
0,21700,21051,0972
57,60
0,19840,19241,0156
56,15
0,19060,18490,9719
55,54
0,18350,17790,9264
54,97
0,17030,16520,8301
53,91
00,23460,23461,2014
56,25
0,21570,21571,0885
54,81
0,20780,20781,0313
54,20
0,20050,20050,9736
53,63
0,18690,18690,8567
52,58
10
0,25890,26721,3030
54,41
0,23980,24751,1528
52,98
0,23180,23921,0803
52,38
0,22430,23151,0094
51,83
0,21040,21720,8711
50,81
20
0,29890,31941,3997
51,40
0,28030,29951,2052
50,04
0,27230,29091,1158
49,48
0,26480,28301,0307
48,96
0,25070,26790,8709
48,01
-20
0,14990,13231,0972
52,84
0,13820,12201,0509
51,89
0,13350,11791,0225
51,50
0,12920,11410,9909
51,14
0,12150,10730,9193
50,49
-10
0,15870,14911,2014
52,13
0,14680,13801,1263
51,19
0,14200,13351,0849
50,79
0,13770,12941,0414
50,44
0,12980,12200,9487
49,78
00,16990,16991,3030
51,25
0,15790,15791,1928
50,30
0,15300,15301,1365
49,91
0,14850,14851,0797
49,55
0,14050,14050,9647
48,91
10
0,18590,19861,3997
50,00
0,17370,18571,2471
49,06
0,16880,18031,1739
48,67
0,16420,17551,1025
48,32
0,15590,16660,9645
47,69
20
0,21350,24611,4861
47,86
0,20150,23231,2829
46,95
0,19650,22651,1910
46,58
0,19190,22121,1042
46,25
0,18350,21160,9437
45,65
100-10
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1/2∗ϕδ
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0,32330,37260,6384
78,60
0,27620,31840,5688
74,96
0,25540,29440,5300
73,24
0,23540,27140,4883
71,51
0,19570,22560,3949
67,84
-10
0,36310,38800,7443
75,69
0,31370,33520,6513
72,00
0,29160,31160,6015
70,27
0,27020,28870,5492
68,56
0,22720,24280,4363
64,97
00,40740,40740,8463
72,50
0,35620,35620,7269
68,81
0,33300,33300,6653
67,12
0,31040,31040,6020
65,45
0,26420,26420,4698
61,98
10
0,46230,43440,9451
68,64
0,40990,38510,7962
65,04
0,38570,36250,7219
63,41
0,36190,34010,6473
61,83
0,31260,29380,4962
58,58
20
0,54100,47781,0411
63,29
0,48880,43160,8590
59,95
0,46420,40990,7713
58,47
0,43960,38820,6851
57,05
0,38760,34220,5155
54,19
-20
0,27900,29820,7443
71,89
0,24470,26150,6786
69,23
0,22980,24560,6417
68,01
0,21570,23050,6020
66,82
0,18820,20110,5133
64,41
-10
0,30660,31640,8463
69,83
0,27110,27980,7574
67,14
0,25560,26380,7097
65,92
0,24080,24850,6599
64,74
0,21170,21850,5527
62,36
00,33820,33820,9451
67,50
0,30180,30180,8295
64,81
0,28570,28570,7701
63,61
0,27030,27030,7095
62,44
0,23970,23970,5837
60,12
10
0,37840,36701,0411
64,58
0,34140,33110,8950
61,94
0,32480,31500,8228
60,77
0,30880,29950,7508
59,65
0,27670,26840,6065
57,43
20
0,43760,41121,1341
60,37
0,40090,37670,9533
57,87
0,38410,36100,8673
56,79
0,36780,34560,7835
55,76
0,33460,31440,6208
53,74
-20
0,23030,23030,8463
65,61
0,20600,20600,7860
63,69
0,19570,19570,7515
62,85
0,18610,18610,7142
62,04
0,16780,16780,6305
60,46
-10
0,24900,24900,9451
64,17
0,22410,22410,8609
62,25
0,21350,21350,8154
61,40
0,20350,20350,7679
60,60
0,18440,18440,6659
59,03
00,27100,27101,0411
62,50
0,24570,24570,9288
60,58
0,23470,23470,8713
59,74
0,22440,22440,8127
58,94
0,20460,20460,6919
57,40
10
0,29980,29981,1341
60,34
0,27410,27410,9893
58,44
0,26290,26290,9183
57,62
0,25230,25230,8480
56,85
0,23170,23170,7083
55,35
20
0,34360,34361,2230
57,11
0,31810,31811,0407
55,29
0,30690,30690,9551
54,51
0,29610,29610,8725
53,79
0,27500,27500,7141
52,40
-20
0,17920,16840,9451
59,61
0,16310,15320,8922
58,29
0,15640,14690,8608
57,73
0,15020,14110,8263
57,20
0,13860,13020,7481
56,19
-10
0,19130,18551,0411
58,65
0,17480,16950,9627
57,33
0,16790,16290,9197
56,77
0,16150,15670,8745
56,24
0,14960,14510,7773
55,24
00,20590,20591,1341
57,50
0,18910,18911,0253
56,18
0,18210,18210,9694
55,62
0,17550,17550,9125
55,10
0,16320,16320,7957
54,11
10
0,22560,23281,2230
55,97
0,20860,21531,0785
54,66
0,20140,20791,0082
54,11
0,19470,20100,9388
53,60
0,18200,18790,8022
52,63
20
0,25670,27431,3051
53,58
0,23980,25621,1191
52,32
0,23250,24851,0330
51,79
0,22570,24120,9507
51,30
0,21280,22730,7948
50,39
-20
0,12780,11291,0411
53,83
0,11810,10430,9986
52,99
0,11420,10080,9712
52,64
0,11060,09760,9402
52,32
0,10400,09180,8682
51,72
-10
0,13490,12671,1341
53,23
0,12500,11741,0637
52,39
0,12090,11371,0237
52,05
0,11730,11020,9811
51,72
0,11060,10390,8888
51,13
00,14370,14371,2230
52,50
0,13360,13361,1189
51,66
0,12950,12951,0647
51,31
0,12570,12571,0094
50,99
0,11880,11880,8961
50,41
10
0,15590,16661,3051
51,49
0,14570,15571,1610
50,66
0,14150,15121,0909
50,31
0,13770,14711,0222
50,00
0,13060,13960,8878
49,42
20
0,17620,20311,3748
49,85
0,16590,19131,1840
49,04
0,16170,18641,0969
48,70
0,15780,18191,0143
48,40
0,15050,17350,8600
47,84
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0,30280,34900,6150
79,27
0,25750,29680,5455
75,77
0,23730,27350,5059
74,09
0,21770,25100,4628
72,38
0,17780,20500,3646
68,64
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0,33920,36250,7142
76,61
0,29160,31160,6214
73,07
0,27010,28870,5708
71,39
0,24910,26620,5173
69,70
0,20580,21990,3997
66,04
00,37940,37940,8088
73,75
0,32990,32990,6899
70,21
0,30720,30720,6277
68,56
0,28490,28490,5634
66,90
0,23830,23830,4271
63,37
10
0,42810,40230,8995
70,37
0,37720,35440,7516
66,90
0,35350,33220,6771
65,30
0,32990,31000,6018
63,72
0,28000,26310,4476
60,39
20
0,49580,43780,9863
65,84
0,44430,39230,8064
62,57
0,41990,37080,7190
61,09
0,39530,34910,6327
59,65
0,34210,30210,4615
56,65
-20
0,25720,27490,7142
72,68
0,22510,24050,6495
70,15
0,21100,22540,6123
68,98
0,19750,21100,5718
67,83
0,17070,18240,4795
65,43
-10
0,28190,29090,8088
70,82
0,24860,25650,7211
68,27
0,23380,24130,6733
67,10
0,21970,22670,6228
65,96
0,19130,19750,5124
63,59
00,30980,30980,8995
68,75
0,27550,27550,7856
66,20
0,26020,26020,7263
65,05
0,24540,24540,6653
63,92
0,21550,21550,5370
61,60
10
0,34460,33420,9863
66,22
0,30960,30030,8429
63,71
0,29380,28490,7713
62,58
0,27840,27000,6994
61,49
0,24690,23950,5537
59,27
20
0,39430,37051,0690
62,70
0,35900,33740,8923
60,30
0,34290,32220,8077
59,24
0,32700,30730,7248
58,22
0,29410,27640,5623
56,17
-20
0,20810,20810,8088
66,48
0,18610,18610,7505
64,70
0,17660,17660,7162
63,90
0,16770,16770,6786
63,14
0,15050,15050,5926
61,60
-10
0,22430,22430,8995
65,21
0,20170,20170,8175
63,42
0,19200,19200,7726
62,62
0,18270,18270,7249
61,86
0,16470,16470,6210
60,34
00,24320,24320,9863
63,75
0,22010,22010,8772
61,96
0,21000,21000,8204
61,17
0,20050,20050,7621
60,42
0,18180,18180,6403
58,91
10
0,26740,26741,0690
61,91
0,24390,24390,9286
60,14
0,23350,23350,8591
59,36
0,22370,22370,7897
58,62
0,20420,20420,6503
57,16
20
0,30300,30301,1463
59,26
0,27930,27930,9704
57,54
0,26880,26880,8872
56,80
0,25880,25880,8065
56,10
0,23860,23860,6502
54,72
-20
0,15770,14820,8995
60,56
0,14360,13490,8495
59,37
0,13770,12940,8188
58,85
0,13220,12420,7845
58,36
0,12180,11440,7051
57,41
-10
0,16770,16270,9863
59,73
0,15330,14870,9114
58,53
0,14730,14280,8695
58,02
0,14160,13740,8247
57,53
0,13090,12700,7270
56,59
00,17970,17971,0690
58,75
0,16510,16510,9649
57,55
0,15890,15890,9105
57,04
0,15310,15310,8546
56,55
0,14200,14200,7383
55,62
10
0,19560,20191,1463
57,47
0,18070,18651,0084
56,28
0,17430,17990,9404
55,78
0,16840,17380,8728
55,30
0,15700,16200,7382
54,38
20
0,21980,23491,2155
55,56
0,20480,21881,0387
54,40
0,19830,21190,9562
53,91
0,19220,20540,8767
53,45
0,18050,19280,7250
52,57
-20
0,10810,09540,9863
54,85
0,10010,08840,9479
54,12
0,09680,08550,9217
53,81
0,09380,08290,8914
53,52
0,08830,07800,8191
52,99
-10
0,11360,10681,0690
54,35
0,10550,09911,0036
53,62
0,10210,09600,9652
53,31
0,09910,09310,9237
53,03
0,09340,08780,8319
52,49
00,12040,12041,1463
53,75
0,11210,11211,0488
53,01
0,10870,10870,9969
52,71
0,10560,10560,9434
52,43
0,09980,09980,8319
51,89
10
0,12970,13861,2155
52,94
0,12130,12961,0803
52,21
0,11780,12591,0136
51,90
0,11460,12250,9476
51,62
0,10860,11610,8170
51,10
20
0,14450,16651,2709
51,67
0,13600,15671,0927
50,95
0,13240,15261,0104
50,65
0,12910,14880,9319
50,38
0,12300,14170,7840
49,87
100-10
-20
δa =
1/2∗ϕδ
a = 2/3∗ϕ
δa =
ϕ
20
α°
β°
δa =
0°δ
a = 1/3∗ϕ
Ta
feln zu
r Bestim
mu
ng
der E
rdd
ruck
beiw
erte un
d d
es Gleitflä
chen
win
kels
na
ch C
ou
lom
b (eb
ene G
leitfläch
en) fü
r den
AK
TIV
EN
Fall
Seite 1
4 v
on 2
5
ϕϕϕ ϕ === =
40°
40°
40°
40°
kagh
kaph
kach
teta
kagh
kaph
kach
teta
kagh
kaph
kach
teta
kagh
kaph
kach
teta
kagh
kaph
kach
teta
-20
0,28310,32640,5913
80,00
0,23990,27650,5222
76,64
0,22030,25390,4820
75,00
0,20110,23180,4377
73,31
0,16100,18560,3347
69,48
-10
0,31640,33810,6840
77,57
0,27080,28940,5918
74,18
0,25000,26710,5408
72,54
0,22940,24510,4861
70,87
0,18580,19850,3640
67,13
00,35260,35260,7715
75,00
0,30510,30510,6538
71,61
0,28310,28310,5913
70,00
0,26120,26120,5261
68,36
0,21420,21420,3860
64,74
10
0,39590,37200,8543
72,02
0,34680,32590,7084
68,69
0,32370,30420,6341
67,13
0,30050,28240,5585
65,55
0,25000,23490,4014
62,12
20
0,45430,40110,9326
68,15
0,40410,35690,7559
64,98
0,38020,33570,6693
63,51
0,35580,31420,5833
62,05
0,30160,26640,4107
58,92
-20
0,23660,25280,6840
73,51
0,20660,22080,6207
71,12
0,19330,20660,5834
70,00
0,18050,19290,5422
68,88
0,15440,16500,4465
66,49
-10
0,25860,26680,7715
71,84
0,22750,23480,6856
69,43
0,21360,22040,6379
68,31
0,20010,20650,5868
67,20
0,17250,17800,4734
64,84
00,28310,28310,8543
70,00
0,25100,25100,7429
67,60
0,23660,23660,6840
66,49
0,22250,22250,6229
65,39
0,19330,19330,4924
63,08
10
0,31320,30380,9326
67,80
0,28030,27190,7927
65,43
0,26540,25740,7220
64,34
0,25060,24310,6505
63,28
0,21990,21330,5038
61,05
20
0,35490,33351,0059
64,84
0,32150,30220,8343
62,55
0,30620,28770,7513
61,51
0,29090,27330,6695
60,51
0,25860,24300,5077
58,42
-20
0,18740,18740,7715
67,40
0,16750,16750,7155
65,74
0,15890,15890,6816
65,00
0,15070,15070,6438
64,27
0,13450,13450,5557
62,78
-10
0,20140,20140,8543
66,27
0,18100,18100,7753
64,61
0,17210,17210,7310
63,87
0,16360,16360,6834
63,14
0,14670,14670,5779
61,67
00,21740,21740,9326
65,00
0,19650,19650,8272
63,34
0,18740,18740,7715
62,60
0,17860,17860,7137
61,88
0,16100,16100,5913
60,43
10
0,23770,23771,0059
63,43
0,21630,21630,8707
61,78
0,20690,20690,8028
61,05
0,19780,19780,7346
60,35
0,17950,17950,5959
58,93
20
0,26660,26661,0728
61,23
0,24500,24500,9041
59,63
0,23530,23530,8235
58,93
0,22600,22600,7448
58,25
0,20690,20690,5910
56,89
-20
0,13790,12960,8543
61,55
0,12580,11820,8077
60,47
0,12060,11330,7779
60,00
0,11580,10880,7439
59,55
0,10650,10010,6634
58,66
-10
0,14620,14180,9326
60,83
0,13380,12970,8618
59,75
0,12850,12460,8210
59,28
0,12360,11980,7770
58,83
0,11400,11050,6788
57,95
00,15600,15601,0059
60,00
0,14330,14330,9070
58,92
0,13790,13790,8543
58,45
0,13280,13280,7996
58,00
0,12290,12290,6840
57,13
10
0,16870,17411,0728
58,94
0,15580,16080,9419
57,86
0,15020,15500,8764
57,40
0,14500,14960,8108
56,96
0,13480,13910,6785
56,09
20
0,18740,20031,1305
57,40
0,17430,18630,9634
56,34
0,16870,18020,8846
55,89
0,16330,17450,8081
55,46
0,15270,16320,6607
54,63
-20
0,09040,07980,9326
55,90
0,08400,07410,8986
55,27
0,08130,07180,8737
55,00
0,07890,06960,8442
54,75
0,07430,06560,7719
54,27
-10
0,09470,08891,0059
55,49
0,08810,08280,9458
54,86
0,08540,08030,9092
54,59
0,08290,07790,8689
54,34
0,07820,07350,7779
53,86
00,09980,09981,0728
55,00
0,09320,09320,9821
54,36
0,09040,09040,9326
54,10
0,08780,08780,8809
53,85
0,08300,08300,7715
53,37
10
0,10680,11411,1305
54,35
0,10000,10681,0046
53,72
0,09720,10380,9413
53,45
0,09450,10100,8781
53,20
0,08960,09570,7513
52,73
20
0,11740,13541,1736
53,37
0,11050,12741,0081
52,74
0,10760,12410,9307
52,48
0,10490,12100,8562
52,24
0,09980,11510,7144
51,78
δa =
1/2∗ϕδ
a = 2/3∗ϕ
δa =
ϕ
20
α°
β°
δa =
0°δ
a = 1/3∗ϕ
100-10
-20
Ta
feln zu
r Bestim
mu
ng
der E
rdd
ruck
beiw
erte un
d d
es Gleitflä
chen
win
kels
na
ch C
ou
lom
b (eb
ene G
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N F
all
Seite 1
5 v
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5
3
Ta
feln zu
m p
assiv
en E
rdru
ck n
ach
Co
ulo
mb
(eben
e Gleitflä
chen
) ϕϕϕ ϕ
=== =15°
15°
15°
15°
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
-10
1,09381,16881,3290
22,16
1,15471,23391,4653
17,17
1,18321,26441,5375
15,33
1,21091,29391,6128
13,78
1,26441,35111,7736
11,27
01,44741,44741,6698
47,50
1,60671,60671,8660
40,63
1,68561,68561,9721
37,91
1,76471,76472,0841
35,53
1,92561,92562,3289
31,54
10
1,76471,65832,0841
59,47
2,04091,91782,3666
52,77
2,18402,05232,5226
49,99
2,33182,19122,6901
47,50
2,64602,48643,0653
43,20
-10
1,18931,22751,6698
20,71
1,25481,29511,8363
16,12
1,28601,32731,9256
14,38
1,31671,35892,0193
12,90
1,37701,42122,2222
10,46
01,55841,55842,0841
42,50
1,73031,73032,3289
36,52
1,81711,81712,4631
34,12
1,90521,90522,6065
31,99
2,08852,08852,9249
28,37
10
1,90521,84782,6065
53,01
2,20982,14312,9700
47,16
2,37112,29963,1747
44,71
2,54052,46393,3975
42,50
2,91052,82273,9084
38,64
-10
1,29551,29552,0841
18,65
1,36851,36852,2935
14,45
1,40411,40412,4073
12,83
1,43941,43942,5279
11,43
1,51041,51042,7929
9,10
01,69841,69842,6065
37,50
1,89381,89382,9249
32,25
1,99461,99463,1027
30,11
2,09892,09893,2951
28,19
2,32142,32143,7321
24,90
10
2,09892,09893,2951
46,81
2,45762,45763,7905
41,65
2,65322,65324,0766
39,48
2,86302,86304,3938
37,50
3,33813,33815,1445
34,01
-10
1,42081,37792,6065
16,13
1,50591,46052,8797
12,32
1,54811,50153,0306
10,82
1,59081,54283,1926
9,51
1,67881,62823,5557
7,30
01,88291,88293,2951
32,50
2,11882,11883,7321
27,86
2,24412,24413,9819
25,94
2,37642,37644,2571
24,21
2,66862,66864,9014
21,19
10
2,37642,45264,2571
40,79
2,83352,92444,9845
36,23
3,09283,19215,4192
34,28
3,37953,48795,9140
32,50
4,06234,19277,1409
29,31
-10
1,57821,48303,2951
13,28
1,68271,58123,6698
9,84
1,73601,63133,8812
8,46
1,79091,68294,1118
7,25
1,90751,79254,6428
5,16
02,14072,14074,2571
27,50
2,44782,44784,9014
23,38
2,61732,61735,2821
21,65
2,80152,80155,7121
20,08
3,22883,22886,7640
17,30
10
2,80152,99365,7121
34,92
3,44873,68526,8970
30,87
3,83774,10097,6422
29,12
4,28724,58128,5258
27,50
5,44725,820710,886
24,57
0-10
-20
δp =
−1/2∗ϕ
20
10
δp =
−2/3∗ϕ
δp =
−ϕ
α°
β°
δ p = 0°
δ p = −
1/3∗ϕ
Ta
feln zu
r Bestim
mu
ng
der E
rdd
ruck
beiw
erte un
d d
es Gleitflä
chen
win
kels
na
ch C
ou
lom
b (eb
ene G
leitfläch
en) fü
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PA
SS
IVE
N F
all
Seite 1
6 v
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5
ϕϕϕ ϕ === =
17,5
°17,5
°17,5
°17,5
°
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
-17,5
0,71280,80521,1276-17,50
0,71280,80521,2544-17,50
0,71280,80521,3216-17,50
0,71280,80521,3917-17,50
0,71280,80521,5416-17,50
-10
1,17041,25071,3580
25,58
1,26091,34741,5271
19,90
1,30411,39361,6183
17,79
1,34661,43901,7144
15,99
1,43071,52881,9239
13,07
01,54151,54151,7175
46,25
1,74871,74871,9636
39,20
1,85361,85362,0993
36,41
1,96041,96042,2449
33,96
2,18342,18342,5711
29,85
10
1,89911,78452,1605
57,18
2,25402,11802,5192
50,25
2,44282,29552,7224
47,38
2,64182,48252,9447
44,82
3,07872,89313,4589
40,39
17,5
2,18341,95862,5711
62,65
2,68002,40413,0515
56,02
2,95452,65043,3302
53,22
3,25132,91663,6402
50,69
3,93003,52544,3786
46,25
-17,5
0,81130,85901,4416-17,50
0,81130,85901,5974-17,50
0,81130,85901,6809-17,50
0,81130,85901,7687-17,50
0,81130,85901,9590-17,50
-10
1,28661,32791,7175
23,49
1,38571,43021,9273
18,32
1,43411,48022,0419
16,34
1,48241,53002,1640
14,64
1,58011,63082,4346
11,82
01,68121,68122,1605
41,25
1,90971,90972,4726
35,08
2,02812,02812,6480
32,59
2,15082,15082,8386
30,39
2,41402,41403,2753
26,62
10
2,08012,01732,7277
50,89
2,48142,40663,1987
44,80
2,70112,61973,4720
42,26
2,93752,84893,7765
39,97
3,47533,37054,5032
35,95
17,5
2,41402,28693,2753
55,88
2,99242,83483,9290
50,04
3,32303,14804,3198
47,55
3,68973,49544,7648
45,28
4,56684,32635,8687
41,25
-17,5
0,90960,90961,8192-17,50
0,90960,90962,0145-17,50
0,90960,90962,1206-17,50
0,90960,90962,2332-17,50
0,90960,90962,4810-17,50
-10
1,41991,41992,1605
20,85
1,53301,53302,4289
16,15
1,58951,58952,5780
14,32
1,64681,64682,7389
12,73
1,76601,76603,1028
10,03
01,86001,86002,7277
36,25
2,12672,12673,1421
30,79
2,26882,26883,3803
28,56
2,41932,41933,6439
26,55
2,75362,75364,2661
23,08
10
2,33222,33223,4899
44,83
2,81992,81994,1482
39,44
3,09703,09704,5428
37,16
3,40353,40354,9933
35,09
4,13564,13566,1166
31,40
17,5
2,75362,75364,2661
49,42
3,48793,48795,2283
44,23
3,92783,92785,8284
42,00
4,43374,43376,5348
39,94
5,72525,72528,3958
36,25
-17,5
1,01350,96012,2885-17,50
1,01350,96012,5406-17,50
1,01350,96012,6798-17,50
1,01350,96012,8292-17,50
1,01350,96013,1645-17,50
-10
1,58221,53452,7277
17,83
1,71751,66573,0855
13,57
1,78711,73323,2886
11,88
1,85901,80303,5112
10,38
2,01351,95284,0289
7,82
02,10042,10043,4899
31,25
2,43292,43294,0735
26,39
2,61682,61684,4195
24,37
2,81682,81684,8115
22,54
3,28273,28275,7766
19,31
10
2,70032,78694,5814
38,94
3,34783,45525,5807
34,14
3,73493,85486,2076
32,08
4,18064,31486,9497
30,19
5,32415,49498,9269
26,78
17,5
3,28273,47605,7766
43,19
4,32604,58067,3561
38,55
4,99565,28968,4050
36,54
5,80976,15179,7053
34,67
8,11718,594913,487
31,25
-17,5
1,13031,01402,8962-17,50
1,13031,01403,2349-17,50
1,13031,01403,4256-17,50
1,13031,01403,6335-17,50
1,13031,01404,1122-17,50
-10
1,79271,68463,4899
14,52
1,96471,84623,9940
10,67
2,05621,93224,2883
9,11
2,15332,02354,6181
7,71
2,37112,22815,4147
5,28
02,44452,44454,5814
26,25
2,89602,89605,4718
21,90
3,15863,15866,0233
20,06
3,45543,45546,6703
18,38
4,19624,19628,3676
15,36
10
3,28113,50616,2876
33,18
4,25164,54327,9960
28,88
4,87805,21269,1449
27,01
5,64546,032510,586
25,27
7,86368,402914,885
22,09
17,5
4,19624,74028,3676
37,14
5,94746,718411,432
32,99
7,20528,139313,691
31,16
8,889310,04216,759
29,44
14,72916,63827,604
26,25
δp =
−1/2∗ϕ
δp =
−2/3∗ϕ
δp =
−ϕ
20
α°
β°
δ p = 0°
δ p = −
1/3∗ϕ
100-10
-20
Ta
feln zu
r Bestim
mu
ng
der E
rdd
ruck
beiw
erte un
d d
es Gleitflä
chen
win
kels
na
ch C
ou
lom
b (eb
ene G
leitfläch
en) fü
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PA
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Seite 1
7 v
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ϕϕϕ ϕ === =
20°
20°
20°
20°
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
-20
0,66460,76601,0728-20,00
0,66460,76601,2114-20,00
0,66460,76601,2856-20,00
0,66460,76601,3634-20,00
0,66460,76601,5321-20,00
-10
1,24761,33311,3868
27,40
1,37231,46641,5928
21,24
1,43331,53161,7057
18,93
1,49411,59651,8265
16,95
1,61741,72842,0960
13,72
01,64281,64281,7660
45,00
1,90731,90732,0689
37,77
2,04452,04452,2398
34,91
2,18692,18692,4262
32,39
2,49302,49302,8563
28,15
10
2,04451,92122,2398
55,09
2,49512,34472,6872
47,95
2,74222,57682,9480
45,00
3,00832,82693,2393
42,36
3,61553,39753,9392
37,80
20
2,49302,20132,8563
61,85
3,20292,82833,5306
55,07
3,61553,19263,9392
52,20
4,07863,60154,4096
49,60
5,20814,59895,5989
45,00
-20
0,77330,82641,3868-20,00
0,77330,82641,5592-20,00
0,77330,82641,6527-20,00
0,77330,82641,7518-20,00
0,77330,82641,9696-20,00
-10
1,38711,43161,7660
24,84
1,52641,57542,0254
19,26
1,59621,64752,1701
17,10
1,66721,72072,3269
15,24
1,81521,87352,6840
12,12
01,81521,81522,2398
40,00
2,11372,11372,6307
33,63
2,27302,27302,8563
31,06
2,44172,44173,1067
28,77
2,81762,81763,7017
24,84
10
2,27302,20442,8563
48,94
2,79622,71193,4564
42,64
3,09333,00003,8168
40,00
3,42193,31874,2291
37,62
4,20724,08045,2613
33,43
20
2,81762,64773,7017
55,16
3,68163,45964,6574
49,15
4,20723,95355,2613
46,57
4,81874,52815,9798
44,22
6,41156,02487,9110
40,00
-20
0,88300,88301,7660-20,00
0,88300,88301,9845-20,00
0,88300,88302,1047-20,00
0,88300,88302,2335-20,00
0,88300,88302,5222-20,00
-10
1,55151,55152,2398
21,81
1,71411,71412,5776
16,74
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10,13410,13415,022
11,37
10
4,65484,80426,3452
32,53
7,23537,46759,7191
26,73
9,34059,640312,569
24,18
12,54712,95017,001
21,78
28,27029,17839,413
17,26
20
6,91777,39219,8101
37,66
13,21814,12518,018
32,03
19,93721,30426,907
29,51
33,60535,90945,152
27,10
240,55257,05325,25
22,49
-20
1,99631,76283,2959
1,22
2,26381,99904,0922
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2,41962,13664,6079
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2,59852,29465,2386
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3,06982,71077,0525
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-10
2,96582,78694,4655
13,56
3,77493,54735,9549
8,47
4,31484,05467,0230
6,30
5,00554,70378,4498
4,28
7,26156,823613,406
0,53
04,30314,30316,3452
21,25
6,30136,30139,4162
15,88
7,88357,883511,966
13,52
10,24310,24315,878
11,29
21,39221,39235,174
7,04
10
6,54906,99819,8101
27,06
11,83712,64917,456
21,70
17,33718,52625,615
19,28
28,32430,26642,170
16,97
188,76201,71290,27
12,47
20
11,41313,15617,853
32,00
31,25836,03246,849
26,80
69,69580,337103,32
24,41
290,96335,39429,20
22,09
172,80199,19256,76
17,49
δp =
−1/2∗ϕ
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−2/3∗ϕ
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−ϕ
20
α°
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δ p = 0°
δ p = −
1/3∗ϕ
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-20
1,09831,26601,1305
10,00
1,23571,42441,3905
4,63
1,30461,50391,5409
2,64
1,37531,58531,7087
0,94
1,52721,76042,1133
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1,59521,70461,5000
28,45
1,93082,06321,9024
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32,02
3,14953,14952,9884
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3,57933,57933,4641
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4,68714,68714,7751
21,05
10
2,77432,60702,5924
47,98
3,87943,64543,5753
40,00
4,58834,31164,2406
36,70
5,45445,12545,0816
33,73
7,96437,48407,6409
28,45
20
3,57933,16063,4641
54,02
5,45444,81635,0816
46,27
6,78495,99126,2692
43,00
8,54867,54867,8785
40,00
14,56512,86113,549
34,59
-20
1,30491,39441,5000
8,93
1,47261,57361,8432
3,72
1,56021,66722,0472
1,73
1,65271,76602,2797
0,00
1,86151,98922,8626
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-10
1,86151,92121,9696
24,91
2,26982,34262,5118
18,15
2,50252,58282,8515
15,47
2,76362,85233,2552
13,08
3,41663,52624,3476
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02,49672,49672,5924
35,00
3,29193,29193,4641
27,80
3,78773,78774,0464
24,84
4,38264,38264,7751
22,16
6,06106,06106,9569
17,40
10
3,29193,19263,4641
42,20
4,74194,59894,9236
35,00
5,74505,57175,9820
31,96
7,05326,84057,4033
29,17
11,40611,06212,336
24,10
20
4,38264,11834,7751
47,84
7,05326,62787,4033
40,83
9,16498,61229,5409
37,81
12,26211,52212,732
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25,74324,19026,988
29,81
-20
1,54811,54811,9696
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1,76051,76052,4360
2,12
1,87651,87652,7229
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2,00332,00333,0589
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2,30742,30743,9459
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2,20442,20442,5924
21,06
2,73262,73263,3596
14,84
3,05133,05133,8638
12,30
3,42563,42564,4872
10,00
4,44684,44686,3141
5,89
03,00003,00003,4641
30,00
4,08044,08044,7751
23,43
4,80694,80695,7121
20,65
5,73725,73726,9569
18,11
8,74268,742611,196
13,45
10
4,08044,08044,7751
36,57
6,21816,21817,1801
30,00
7,86727,86729,1105
27,16
10,24610,24611,964
24,51
20,32420,32424,495
19,57
20
5,73725,73726,9569
41,89
10,24610,24611,964
35,49
14,49214,49216,780
32,67
21,96321,96325,361
30,00
79,52879,52892,780
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1,85391,74212,5924
4,74
2,13722,00833,2552
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2,30062,16183,6812
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2,48692,33694,1992
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2,97162,79245,6713
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2,67612,59543,4641
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3,41543,31254,6267
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3,89593,77845,4422
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4,49684,36126,5104
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6,36606,174110,056
2,48
03,75693,75694,7751
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5,39835,39836,9569
18,94
6,62856,62858,6801
16,31
8,36828,368211,196
13,86
15,49715,49722,001
9,25
10
5,39835,57156,9569
31,06
9,12029,412911,592
25,00
12,54012,94215,987
22,31
18,45119,04323,733
19,76
62,58564,59383,335
14,88
20
8,36828,942111,196
36,14
18,45119,71623,733
30,24
31,78133,96140,513
27,57
68,31272,99686,826
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2,26712,00193,4641
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2,67322,36054,4687
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2,92442,58235,1550
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3,22822,85066,0353
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4,12013,63828,8434
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3,37903,17524,7751
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6,51216,119410,379
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11,00210,33819,347
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05,01655,01656,9569
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7,95547,955411,196
14,35
10,57510,57515,143
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15,00415,00422,001
9,44
46,72846,72873,283
4,79
10
7,95548,501011,196
25,65
16,52917,66322,923
20,00
27,57929,47138,375
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57,27961,20780,489
14,93
20
15,00417,29622,001
30,56
57,27966,02680,489
25,07
218,46251,82303,95
22,51
δp =
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−2/3∗ϕ
δp =
−ϕ
20
α°
β°
δ p = 0°
δ p = −
1/3∗ϕ
100-10
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1,17331,35251,1430
11,55
1,35361,56031,4413
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3,44
1,54441,78021,8199
1,55
1,76332,03262,3251
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1,69671,81311,5274
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38,75
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3,55403,55403,2430
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24,35
5,69595,69595,6225
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10
3,00522,82402,6909
46,38
4,38274,11843,8740
38,19
5,31294,99254,7156
34,80
6,50126,10915,8269
31,72
10,2879,66699,5432
26,21
20
3,93733,47683,6455
52,28
6,33515,59405,6480
44,31
8,15517,20117,2179
40,93
10,7239,46839,4797
37,82
20,86818,42718,705
32,15
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1,40881,50551,5274
10,10
1,63301,74501,9277
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1,75431,87462,1730
2,22
1,88602,01532,4596
0,29
2,19902,34983,2138
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2,00562,07002,0229
24,33
2,52302,60402,6648
17,32
2,83022,92103,0827
14,51
3,18683,28913,5955
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4,14004,27295,0769
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02,71432,71432,6909
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4,38234,38234,4824
23,26
5,21135,21135,4474
20,47
7,77927,77928,6171
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10
3,63113,52163,6455
40,67
5,50545,33945,4584
33,24
6,89186,68406,8610
30,08
8,81508,54928,8623
27,17
16,21615,72716,890
21,82
20
4,93414,63655,1206
46,20
8,52328,00928,5235
38,95
11,64110,93911,557
35,80
16,66915,66416,530
32,86
45,46642,72445,735
27,37
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1,69291,69292,0229
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1,98351,98352,5778
2,50
2,14922,14922,9320
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2,33662,33663,3601
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2,41192,41192,6909
20,37
3,10103,10103,6217
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3,53853,53854,2633
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4,07544,07545,0908
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5,68265,68267,7469
4,34
03,32253,32253,6455
28,75
4,74224,74225,2802
21,93
5,76275,76276,5256
19,04
7,15187,15188,2821
16,36
12,33412,33415,184
11,38
10
4,60834,60835,1206
35,10
7,51407,51408,2453
28,27
9,97509,975010,992
25,30
13,87713,87715,448
22,51
35,57535,57541,116
17,24
20
6,67336,67337,6704
40,34
13,22013,22014,636
33,68
20,36820,36822,381
30,71
35,37535,37538,826
27,90
315,22315,22351,31
22,48
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2,05941,93522,6909
5,26
2,45872,31043,4995
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3,81633,58616,8766
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2,98422,89423,6455
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3,98553,86535,1021
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0,74
04,26224,26225,1206
23,75
6,53176,53177,9671
17,42
8,39858,398510,427
14,66
11,29811,29814,366
12,05
26,84826,84836,498
7,06
10
6,30206,50427,6704
29,63
11,77112,14814,142
23,30
17,59218,15621,231
20,46
29,59130,54136,106
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245,24253,11311,84
12,47
20
10,24910,95212,929
34,66
27,20629,07233,000
28,48
57,53961,48569,237
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202,87216,79243,81
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2,56902,26853,6455
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4,06453,58907,0845
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18,83517,69931,583
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23,95923,95933,212
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180,34180,34269,85
2,44
10
9,785310,45612,929
24,27
24,38226,05431,774
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49,82353,24065,245
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169,17180,77224,26
12,89
20
20,32123,42427,918
29,16
132,60152,84174,62
23,36
δp =
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−ϕ
20
α°
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1/3∗ϕ
100-10
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1,25031,44131,1544
12,53
1,48061,70671,4950
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2,04642,35892,5801
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10
3,26153,06482,7944
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6,21225,83765,2875
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7,86857,39406,7756
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13,81412,98112,379
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20
4,34303,83503,8420
50,61
7,42586,55726,3275
42,40
9,95408,78968,4288
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13,80012,18611,690
35,68
32,35728,57227,924
29,74
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1,51791,62201,5543
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1,97462,11002,3138
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2,62292,80283,6553
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10,37610,37611,083
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10
4,01683,89573,8420
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6,45186,25726,0995
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11,30510,96410,873
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24,94724,19525,000
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20
5,57955,24315,5085
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10,4609,82959,9543
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15,20114,28514,376
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23,84922,41022,563
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101,3395,21797,735
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7,53747,53749,8648
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5,56285,56285,8852
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7,01627,01627,5611
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18,81718,81722,253
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10
5,22815,22815,5085
33,65
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26,57
13,00413,00413,618
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19,77919,77920,968
20,52
78,53378,53386,994
14,87
20
7,82197,82198,5127
38,83
17,58117,58118,435
31,90
30,45130,45131,723
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16,04816,04819,373
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58,59258,59276,253
4,80
10
7,41417,65208,5127
28,23
15,65816,16117,764
21,62
26,25227,09529,960
18,62
54,67256,42663,220
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20
12,74613,62015,143
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131,62140,65149,37
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2,91042,57003,8420
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3,76593,32545,4429
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8,88178,346012,056
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40,50438,06164,823
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44,04844,04857,681
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10
12,22113,05915,143
22,91
38,96941,64247,675
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113,71121,50140,02
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20
28,63333,00536,832
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1113,3
18,75
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1/3∗ϕ
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kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
-20
1,33041,53361,1647
13,11
1,61971,86711,5519
6,34
1,77952,05121,7957
3,77
1,95632,25512,0874
1,53
2,39502,76072,8930
-2,34
-10
1,92342,05531,5804
26,77
2,54872,72352,2034
18,65
2,92903,12992,6214
15,46
3,38063,61243,1484
12,62
4,65034,96924,7616
7,63
02,63612,63612,1322
36,25
3,82123,82123,1463
27,66
4,62124,62123,8815
24,17
5,65205,65204,8724
21,02
9,05789,05788,3676
15,36
10
3,54743,33352,9031
43,32
5,70245,35854,6153
34,70
7,34816,90505,9880
31,10
9,70459,11938,0164
27,80
19,57618,39516,927
21,75
20
4,80564,24354,0556
48,98
8,79977,77037,1556
40,55
12,38210,93410,017
36,94
18,36516,21714,887
33,59
56,93650,27647,261
27,33
-20
1,63371,74581,5804
11,03
2,00892,14662,1186
4,56
2,22862,38142,4728
2,01
2,48332,65362,9129
-0,27
3,17353,39124,2257
-4,33
-10
2,33582,41072,1322
22,87
3,15573,25693,0252
15,35
3,69153,80993,6614
12,29
4,36754,50764,5080
9,51
6,52826,73777,4259
4,46
03,22763,22762,9031
31,25
4,84904,84904,4377
23,37
6,05146,05145,6485
20,07
7,74057,74057,4167
17,02
14,59914,59915,022
11,37
10
4,45804,32364,0556
37,71
7,64447,41396,8802
29,81
10,42710,1139,4489
26,40
14,99214,54013,774
23,22
43,53642,22441,942
17,22
20
6,34195,95945,9477
43,06
13,08512,29511,832
35,31
20,58519,34318,518
31,91
36,73334,51833,115
28,68
-20
2,01692,01692,1322
8,34
2,52862,52862,9113
2,16
2,85032,85033,4547
-0,37
3,24573,24574,1655
-2,67
4,45654,45656,5409
-6,91
-10
2,90162,90162,9031
18,72
4,06584,06584,2707
11,70
4,90114,90115,3295
8,74
6,04846,04846,8532
6,00
10,53310,53313,232
0,85
04,11204,11204,0556
26,25
6,59756,59756,6213
18,93
8,70598,70598,9153
15,76
12,09512,09512,727
12,78
32,53832,53836,943
7,07
10
5,96235,96235,9477
32,23
11,53811,53811,387
24,89
17,58017,58017,472
21,63
30,34730,34730,599
18,53
307,05307,05325,78
12,47
20
9,25179,25179,5207
37,35
24,33824,33824,138
30,15
49,94449,94449,267
26,89
159,77159,77157,95
23,74
-20
2,53642,38342,9031
5,20
3,28653,08834,1038
-0,71
3,80293,57355,0105
-3,21
4,49164,22076,2897
-5,53
7,04816,623011,441
-9,98
-10
3,73993,62724,0556
14,41
5,58165,41336,3625
7,78
7,09056,87678,3817
4,90
9,45669,171511,681
2,17
23,08022,38431,945
-3,15
05,56385,56385,9477
21,25
10,05310,05310,942
14,36
14,77314,77316,426
11,29
24,53024,53028,083
8,33
226,17226,17281,70
2,45
10
8,80259,08499,5207
26,85
21,68222,37823,194
19,95
42,97744,35646,318
16,79
132,43136,68144,97
13,71
20
16,15117,25918,052
31,81
78,90784,31984,853
25,04
534,39571,04571,36
21,88
-20
3,30082,91474,0556
1,76
4,51993,99126,0870
-3,93
5,47414,83377,8138
-6,42
6,91976,110310,567
-8,80
14,69612,97726,626-13,52
-10
5,11254,80425,9477
9,97
8,53458,019810,468
3,66
12,00111,27715,313
0,81
18,96117,81725,405
-1,96
153,57144,31234,80
-7,58
08,30558,30559,5207
16,25
18,98818,98822,190
9,69
36,09636,09643,180
6,66
106,11106,11131,15
3,66
10
15,55216,61918,052
21,56
70,76675,61981,180
14,99
460,50492,08532,65
11,87
20
42,62049,12851,278
26,44
δp =
−1/2∗ϕ
δp =
−2/3∗ϕ
δp =
−ϕ
20
α°
β°
δ p = 0°
δ p = −
1/3∗ϕ
100-10
-20
Ta
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ϕϕϕ ϕ === =
40°
40°
40°
40°
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
kpgh
kpph
kpch
teta
-20
1,41461,63071,1736
13,37
1,77372,04451,6124
6,24
1,97962,28191,8982
3,51
2,21472,55292,2506
1,11
2,83603,26913,2856
-3,11
-10
2,05072,19131,6056
26,02
2,81443,00742,3222
17,65
3,30033,52662,8240
14,34
3,90034,16783,4814
11,38
5,73756,13105,6713
6,09
02,83602,83602,1880
35,00
4,29484,29483,3779
26,20
5,33685,33684,2890
22,60
6,75136,75135,5817
19,33
12,04512,04510,746
13,37
10
3,86773,63453,0176
41,84
6,58086,18405,0829
33,00
8,81268,28116,8630
29,28
12,25411,5159,6940
25,85
30,02128,21125,019
19,48
20
5,33684,71254,2890
47,40
10,5649,32858,1838
38,73
15,77313,92812,170
35,00
25,56722,57619,801
31,51
126,45111,66100,85
24,92
-20
1,75791,87851,6056
11,05
2,23402,38722,2271
4,23
2,52592,69922,6537
1,51
2,87793,07533,2040
-0,93
3,91564,18414,9872
-5,37
-10
2,52592,60702,1880
22,02
3,55563,66973,2396
14,25
4,26754,40444,0304
11,05
5,21355,38085,1370
8,13
8,63358,91059,4499
2,73
03,53213,53213,0176
30,00
5,59995,59994,8748
21,88
7,25137,25136,4491
18,45
9,74859,74858,9217
15,26
22,21822,21822,001
9,25
10
4,96614,81634,2890
36,27
9,17708,90037,8488
28,12
13,26112,86111,436
24,59
20,79820,17118,223
21,26
95,85992,96888,683
14,87
20
7,25136,81406,4491
41,55
16,76215,75114,379
33,55
29,28427,51825,019
30,00
63,48659,65754,451
26,61
-20
2,20132,20132,1880
8,15
2,86922,86923,1097
1,62
3,31353,31353,7873
-1,07
3,88883,88884,7191
-3,56
5,87825,87828,2319
-8,22
-10
3,19263,19263,0176
17,80
4,70774,70774,6792
10,50
5,87825,87826,0602
7,40
7,60817,60818,1959
4,49
15,90215,90219,165
-1,07
04,59894,59894,2890
25,00
7,92757,92757,5339
17,41
11,06211,06210,746
14,10
16,72616,72616,741
10,95
70,92570,92577,253
4,80
10
6,84056,84056,4491
30,83
14,78414,78413,803
23,22
24,96724,96723,510
19,81
52,24152,24150,021
16,53
20
11,06211,06210,746
35,90
35,60435,60433,346
28,42
95,48495,48489,050
25,00
812,03812,03760,45
21,66
-20
2,81762,64773,0176
4,84
3,83263,60144,4837
-1,43
4,58514,30865,6713
-4,11
5,66485,32327,4701
-6,64
10,5649,927316,330-11,58
-10
4,20724,08044,2890
13,43
6,72506,52227,2191
6,50
9,01458,742610,056
3,45
13,04812,65415,258
0,52
49,68348,18565,823
-5,30
06,41156,41156,4491
20,00
12,89412,89413,226
12,82
20,95620,95622,001
9,57
42,05142,05145,591
6,41
10
10,56410,90310,746
25,49
31,72932,74731,953
18,29
82,00084,63283,335
14,95
20
20,95622,39322,001
30,43
181,07193,48182,96
23,35
-20
3,75133,31254,2890
1,23
5,48534,84376,8840
-4,83
6,99206,17419,3224
-7,52
9,55478,437013,681-10,13
31,12727,48653,659-15,46
-10
5,92915,57156,4491
8,94
10,97710,31512,612
2,29
17,02115,99420,395
-0,75
32,36430,41240,878
-3,75
010,01710,01710,746
15,00
27,81327,81330,470
8,12
68,73868,73877,253
4,88
533,31533,31621,44
1,65
10
20,26521,65522,001
20,24
162,43173,56174,47
13,32
20
68,73879,23577,253
25,12
572,04659,39616,78
18,34
δp =
−1/2∗ϕ
δp =
−2/3∗ϕ
δp =
−ϕ
20
α°
β°
δ p = 0°
δ p = −
1/3∗ϕ
100-10
-20
![28 S574 Bohrpfahlwand, DIN 1054 (01/05), (EAB, EAU)€¦ · Erddruck Sowohl der belastende als auch der stützende Erddruck wird gemäß E DIN 4085 (12/02) [6] be-stimmt. Dabei kann](https://static.fdokument.com/doc/165x107/5eae5eae5b904653c636d5e9/28-s574-bohrpfahlwand-din-1054-0105-eab-eau-erddruck-sowohl-der-belastende.jpg)
