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Методические указания к решению расчетно-графической работы №8
Решение задач на устойчивость центрально-сжатых стержней рекомендуется проводить в следующем порядке:
1) Установить коэффициент μ, учитывающий способ закрепления концов стержня.;
2) Определить гибкость стержня по формуле подобрать сечение по условию прочности, используя формулу , где
l – длина стержня
- минимальный радиус инерции сечения , здесь
- минимальный осевой момент инерции сечения;
А – площадь сечения
3) Пользуясь таблицей коэффициентов продольного изгиба в зависимости от гибкости стержня, определить коэффициент снижения расчетного сопротивления методом линейной интерполяции;
4) Вычислить несущую способность стойки по формуле
КОЭФФИЦИЕНТЫ ПРОДОЛЬНОГО ИЗГИБА
Гибкость
| Ст. 3. Ст. 4
| Ст. 5
| Чугун
| Дерево (сосна, ель)
|
|
|
|
|
|
| 0, 99
| 0, 98
| 0, 97
| 0, 99
|
| 0, 97
| 0, 96
| 0, 91
| 0, 97
|
| 0, 95
| 0, 93
| 0, 81
| 0, 93
|
| 0, 92
| 0, 90
| 0, 69
| 0, 87
|
| 0, 89
| 0, 85
| 0, 57
| 0, 80
|
| 0, 86
| 0, 80
| 0, 44
| 0, 71
|
| 0, 81
| 0, 74
| 0, 34
| 0, 61
|
| 0, 75
| 0, 67
| 0, 26
| 0, 49
|
| 0, 69
| 0, 59
| 0, 20
| 0, 38
|
| 0, 60
| 0, 50
| 0, 16
| 0, 31
|
| 0, 52
| 0, 43
|
| 0, 25
|
| 0, 45
| 0, 37
|
| 0, 22
|
| 0, 40
| 0, 32
|
| 0, 18
|
| 0, 36
| 0, 28
|
| 0, 16
|
| 0, 32
| 0, 25
|
| 0, 14
|
| 0, 29
| 0, 23
|
| 0, 12
|
| 0, 26
| 0, 21
|
| 0, 11
|
| 0, 23
| 0.19
|
| 0, 10
|
| 0, 21
| 0, 17
|
| 0, 09
|
| 0, 19
| 0, 15
|
| 0, 08
|
| 0, 17
| 0, 14
|
|
|
| 0, 16
| 0, 13
|
|
| |
Сталь прокатная угловая равнополочная (ГОСТ 8609—86)
Обозначения:
b — ширина полки;
d — толщина полки;
R — радиус внутреннего закругления;
r — радиус закругления полки;
J — момент инерции;
i — радиус инерции;
z 0— расстояние от центра тяжести до полки.
Номер
профиля
| Размеры, мм
| Пло
щадь
сече
ния,
| Масса 1 м длины, кг
| Справочные величины для осей
| b
| d
| R
| r
| x - x
| -
| -
| -
| , см
| ,
| , см
| ,
| ,
см
| ,
см
| ,
| ,
| 4, 5
|
|
|
| 1, 7
| 2, 65
| 2, 08
| 5, 13
| 1, 39
| 8, 13
| 1, 75
| 2, 12
| 0, 89
| 9, 04
| 1, 21
|
|
|
|
|
| 3, 48
| 2, 73
| 6, 63
| 1, 38
| 10, 50
| 1, 74
| 2, 74
| 0, 89
| 12, 10
| 1, 26
|
|
|
|
|
| 4, 29
| 3, 37
| 8, 03
| 1, 37
| 12, 70
| 1, 72
| 3, 33
| 0, 88
| 15, 30
| 1, 30
|
|
|
| 5, 5
| 1, 8
| 2, 96
| 2, 32
| 7, 11
| 1, 55
| 11, 3
| 1, 95
| 2, 95
| 1, 00
| 12, 4
| 1, 33
|
|
|
|
|
| 3, 89
| 3, 05
| 9, 21
| 1, 54
| 14, 6
| 1, 94
| 3, 80
| 0, 99
| 16, 6
| 1, 38
|
|
|
|
|
| 4, 80
| 3, 77
| 11, 20
| 1, 53
| 17, 8
| 1, 92
| 4, 63
| 0, 98
| 20, 9
| 1, 42
| 5, 6
|
|
|
|
| 4, 38
| 3, 44
| 13, 10
| 1, 73
| 20, 8
| 2, 18
| 5, 41
| 1, 11
| 23, 3
| 1, 52
|
|
|
|
|
| 5.41
| 4.25
| 16.00
| 1.72
| 25.4
| 2.16
| 6.59
| 1.10
| 29.2
| 1.57
| 6, 3
|
|
|
| 2, 3
| 4, 96
| 3, 90
| 18, 90
| 1, 95
| 29, 9
| 2, 45
| 7, 81
| 1, 25
| 33, 1
| 1, 69
|
|
|
|
|
| 6, 13
| 4, 81
| 23, 10
| 1, 94
| 36, 6
| 2, 44
| 9, 52
| 1, 25
| 41, 5
| 1, 74
|
|
|
|
|
| 7, 28
| 5, 72
| 27, 10
| 1, 93
| 42, 9
| 2, 43
| 11, 20
| 1, 24
| 50, 0
| 1, 78
|
|
| 4, 5
|
| 2, 7
| 6, 20
| 4, 87
| 29, 00
| 2, 16
| 46, 0
| 2, 72
| 12, 0
| 1, 39
| 51, 0
| 1, 88
|
|
|
|
|
| 6, 86
| 5, 38
| 31, 90
| 2, 16
| 50, 7
| 2, 72
| 13, 2
| 1, 39
| 56, 7
| 1, 90
|
|
|
|
|
| 8, 15
| 6, 39
| 37, 60
| 2, 15
| 59, 6
| 2, 71
| 15, 5
| 1, 38
| 68, 4
| 1, 94
|
|
|
|
|
| 9, 42
| 7, 39
| 43, 00
| 2, 14
| 68, 2
| 2, 69
| 17, 8
| 1, 37
| 80, 1
| 1, 99
|
|
|
|
|
| 10, 70
| 8, 37
| 48, 20
| 2, 13
| 76, 4
| 2, 68
| 20, 0
| 1, 37
| 91, 9
| 2, 02
| 7, 5
|
|
|
|
| 7, 39
| 5, 80
| 39, 50
| 2, 31
| 62, 6
| 2, 91
| 16, 4
| 1, 49
| 69, 6
| 2, 02
|
|
|
|
|
| 8, 78
| 6, 89
| 46, 60
| 2, 30
| 73, 9
| 2, 90
| 19, 3
| 1, 48
| 83, 9
| 2, 06
|
|
|
|
|
| 10, 10
| 7, 96
| 53, 30
| 2, 29
| 84, 6
| 2, 89
| 22, 1
| 1, 48
| 98, 3
| 2, 10
|
|
|
|
|
| 11, 50
| 9, 02
| 59, 80
| 2, 28
| 94, 9
| 2, 87
| 24, 8
| 1, 47
| 113, 0
| 2, 15
|
|
|
|
|
| 12, 80
| 10, 10
| 66, 10
| 2, 27
| 105, 0
| 2, 86
| 27, 5
| 1, 46
| 127, 0
| 2, 18
|
|
| 5, 5
|
|
| 8, 63
| 6, 78
| 52, 70
| 2, 47
| 83, 6
| 3, 11
| 21, 8
| 1, 59
| 93, 2
| 2, 17
|
|
|
|
|
| 9, 38
| 7, 36
| 57, 00
| 2, 47
| 90, 4
| 3, 11
| 23, 5
| 1, 58
| 102, 0
| 2, 19
|
|
|
|
|
| 10, 80
| 8, 51
| 65, 30
| 2, 45
| 104, 0
| 3, 09
| 27, 0
| 1, 58
| 119, 0
| 2, 23
|
|
|
|
|
| 12, 30
| 9, 65
| 73, 40
| 2, 44
| 116, 0
| 3, 08
| 30, 3
| 1, 57
| 137, 0
| 2, 27
|
|
|
|
| 3, 3
| 10, 60
| 8, 33
| 82, 10
| 2, 78
| 130, 0
| 3, 50
| 34, 0
| 1, 79
| 145, 0
| 2, 43
|
|
|
|
|
| 12, 30
| 9, 64
| 94, 30
| 2, 77
| 150, 0
| 3, 49
| 38, 9
| 1, 78
| 169, 0
| 2, 47
|
|
|
|
|
| 13, 90
| 10, 90
| 106, 00
| 2, 76
| 168, 0
| 3, 48
| 43, 8
| 1, 77
| 194, 0
| 2, 51
|
|
|
|
|
| 15, 60
| 12, 20
| 118, 00
| 2, 75
| 186, 0
| 3, 46
| 48, 6
| 1, 77
| 219, 0
| 2, 55
|
|
| 6, 5
|
|
| 12, 8
| 10, 1
| 122, 0
| 3, 09
| 193, 0
| 3, 88
| 50, 7
| 1, 99
| 214, 0
| 2, 68
|
|
|
|
|
| 13, 8
| 10, 8
| 131, 0
| 3, 08
| 207, 0
| 3, 88
| 54, 2
| 1, 98
| 231, 0
| 2, 71
|
|
|
|
|
| 15, 6
| 12, 2
| 147, 0
| 3, 07
| 233, 0
| 3, 87
| 60, 9
| 1, 98
| 265, 0
| 2, 75
|
|
|
|
|
| 19, 2
| 15, 1
| 179, 0
| 3, 05
| 284, 0
| 3, 84
| 74, 1
| 1, 96
| 333, 0
| 2, 83
|
|
|
|
|
| 22, 8
| 17, 9
| 209, 0
| 3, 03
| 331, 0
| 3, 8!
| 86, 9
| 1, 95
| 402, 0
| 2, 91
|
|
|
|
|
| 26, 3
| 20, 6
| 237, 0
| 3, 00
| 375, 0
| 3, 78
| 99, 3
| 1, 94
| 472, 0
| 2, 99
|
|
|
|
|
| 29, 7
| 23, 3
| 264, 0
| 2, 98
| 416, 0
| 3, 74
| 112, 0
| 1, 94
| 542, 0
| 3, 06
|
|
|
|
|
| 15, 2
| 11, 9
| 176, 0
| 3, 40
| 279, 0
| 4, 29
| 72, 7
| 2, 19
| 308, 0
| 2, 96
|
|
|
|
|
| 17, 2
| 13, 5
| 198, 0
| 3, 39
| 315, 0
| 4, 28
| 81, 8
| 2, 18
| 353, 0
| 3, 00
|
12, 5
|
|
|
| 4, 6
| 19, 7
| 15, 5
| 294, 0
| 3, 87
| 467, 0
| 4, 87
| 122, 0
| 2, 49
| 516, 0
| 3, 36
|
|
|
|
|
| 22, 0
| 17, 3
| 327, 0
| 3, 86
| 520, 0
| 4, 86
| 135, 0
| 2, 48
| 582, 0
| 3, 40
|
|
|
|
|
| 24, 3
| 19, 1
| 360, 0
| 3, 85
| 571, 0
| 4, 84
| 149, 0
| 2, 47
| 649, 0
| 3, 45
|
|
|
|
|
| 28, 9
| 22, 7
| 422, 0
| 3, 82
| 670, 0
| 4, 82
| 174, 0
| 2, 46
| 782, 0
| 3, 53
|
|
|
|
|
| 33, 4
| 26, 2
| 482, 0
| 3, 80
| 764, 0
| 4, 78
| 200, 0
| 2, 45
| 916, 0
| 3, 61
|
|
|
|
|
| 37, 8
| 29, 6
| 539, 0
| 3, 78
| 853, 0
| 4, 75
| 224, 0
| 2, 44
| 1051, 0
| 3, 68
|
|
|
|
| 4, 6
| 24, 7
| 19, 4
| 466, 0
| 4, 34
| 739, 0
| 5, 47
| 192, 0
| 2, 79
| 818, 0
| 3, 78
|
|
|
|
|
| 27, 3
| 21, 5
| 512, 0
| 4, 33
| 814, 0
| 5, 46
| 211, 0
| 2, 78
| 911, 0
| 3, 82
|
|
|
|
|
| 32, 5
| 25, 5
| 602, 0
| 4, 31
| 957, 0
| 5, 43
| 248, 0
| 2, 76
| 1097, 0
| 3, 90
|
|
|
|
| 5, 3
| 31, 4
| 24, 7
| 774, 0
| 4, 96
| 1229, 0
| 6, 25
| 319, 0
| 3, 19
| 1356, 0
| 4, 30
|
|
|
|
|
| 34, 4
| 27, 0
| 844, 0
| 4, 95
| 1341, 0
| 6, 24
| 348, 0
| 3, 18
| 1494, 0
| 4, 35
|
|
|
|
|
| 37, 4
| 29, 4
| 913, 0
| 4, 94
| 1450, 0
| 6, 23
| 376, 0
| 3, 17
| 1633, 0
| 4, 39
|
|
|
|
|
| 43, 3
| 34, 0
| 1046, 0
| 4, 92
| 1662, 0
| 6, 20
| 431, 0
| 3, 16
| 1911, 0
| 4, 47
|
|
|
|
|
| 49, 1
| 38, 5
| 1175, 0
| 4, 89
| 1866, 0
| 6, 17
| 485, 0
| 3, 14
| 2191, 0
| 4, 55
|
|
|
|
|
| 54, 8
| 43, 0
| 1299, 0
| 4, 87
| 2061, 0
| 6, 13
| 537, 0
| 3, 13
| 2472, 0
| 4, 63
|
|
|
|
|
| 60, 4
| 47, 4
| 1419, 0
| 4, 85
| 2248, 0
| 6, 10
| 589, 0
| 3, 12
| 2756, 0
| 4, 70
|
|
|
|
| 5, 3
| 38, 8
| 30, 5
| 1216, 0
| 5, 60
| 1933, 0
| 7, 06
| 500, 0
| 3, 59
| 2128, 0
| 4, 85
|
|
|
|
|
| 42, 2
| 33, 1
| 1317, 0
| 5, 59
| 2093, 0
| 7, 04
| 540, 0
| 3, 58
| 2324, 0
| 4, 89
|
|
|
|
|
| 47, 1
| 37, 0
| 1823, 0
| 6, 22
| 2896, 0
| 7, 84
| 749, 0
| 3, 99
| 3182, 0
| 5, 37
|
|
|
|
|
| 50, 9
| 39, 9
| 1961, 0
| 6, 21
| 3116, 0
| 7, 83
| 805, 0
| 3, 98
| 3452, 0
| 5, 42
|
|
|
|
|
| 51, 6
| 42, 8
| 2097, 0
| 6, 20
| 3333, 0
| 7, 81
| 861, 0
| 3, 97
| 3722, 0
| 5, 46
|
|
|
|
|
| 62, 0
| 48, 7
| 2363, 0
| 6, 17
| 3755, 0
| 7, 78
| 970, 0
| 3, 96
| 4264, 0
| 5, 54
|
|
|
|
|
| 76, 5
| 60, 1
| 2871, 0
| 6, 12
| 4560, 0
| 7, 72
| 1182, 0
| 3, 93
| 5355, 0
| 5, 70
|
|
|
|
|
| 94, 3
| 74, 0
| 3466, 0
| 6, 06
| 5494, 0
| 7, 63
| 1438, 0
| 3, 91
| 6733, 0
| 5, 89
|
|
|
|
|
| 111, 5
| 87, 6
| 4020, 0
| 6, 00
| 6351, 0
| 7, 55
| 1688, 0
| 3, 89
| 8130, 0
| 6, 07
|
|
|
|
|
| 60, 4
| 47, 4
| 2814, 0
| 6, 83
| 4470, 0
| 8, 60
| 1159, 0
| 4, 38
| 4941, 0
| 5, 93
|
|
|
|
|
| 68, 6
| 53, 8
| 3175, 0
| 6, 81
| 5045, 0
| 8, 58
| 1306, 0
| 4, 36
| 5661, 0
| 6, 02
|
|
|
|
|
| 78, 4
| 61, 5
| 4717, 0
| 7, 76
| 7492, 0
| 9, 78
| 1942, 0
| 4, 98
| 8286, 0
| 6, 75
|
|
|
|
|
| 87, 7
| 68, 9
| 5247, 0
| 7, 73
| 8337, 0
| 9, 75
| 2158, 0
| 4, 96
| 9342, 0
| 6, 83
|
|
|
|
|
| 97, 0
| 76, 1
| 5765, 0
| 7, 71
| 9160, 0
| 9, 72
| 2370, 0
| 4, 94
|
| 6, 91
|
|
|
|
|
| 106, 1
| 83, 3
| 6 270, 0
| 7, 69
| 9961, 0
| 9, 69
| 2579, 0
| 4, 93
|
| 7, 00
|
|
|
|
|
| 119, 1
| 94, 0
| 7006, 0
| 7, 65
|
| 9, 64
| 2887, 0
| 4, 91
|
| 7, 11
|
|
|
|
|
| 133, 1
| 104, 5
| 7717, 0
| 7, 61
|
| 9, 59
| 3190, 0
| 4, 89
|
| 7, 23
|
|
|
|
|
| 142, 0
| 111, 4
| 8177, 0
| 7, 59
|
| 9, 56
| 3389, 0
| 4, 89
|
| 7, 31
|
Сталь прокатная угловая неравнополочная (ГОСТ 8510—86)
Обозначения:
В — ширина большой полки;
b — ширина малой полки;
d — толщина полки;
R — радиус внутреннего закругления;
r — радиус закругления полки;
J — момент инерции;
i — радиус инерции;
, — расстояния от центра тяжести до наружных граней полок.
Номер
про
филя
| Размеры, мм
| Пло
щадь
сече
ния,
| Масса 1 м длины, кг
| Справочные величины для осей
| Тангенс угла α
| В
| Ь
| d
| R
| r
| х—х
| y - y
| -
| -
| и—и
| ,
| , см
| ,
| , см
| ,
| , см
| ,
| , см
| ,
| ,
| 5, 5/3, 6
|
|
|
|
|
| 3, 58
4, 41
| 2, 81
3, 46
| 11, 4
13, 8
| 1, 78
1, 77
| 3, 7
4, 48
| 1, 02
1, 01
| 23.2
29.2
| 1, 82
1, 86
| 6, 25
7, 91
| 0, 84
0, 88
| 2, 19
2, 66
| 0, 78
0, 78
| 0, 506
0, 404
| 6, 3/4
|
|
|
|
| 2, 3
| 4, 04
5, 98
5, 90
7, 68
| 3, 17
3, 91
4, 63
6, 03
| 16.3
19, 9
23.3
29, 6
| 2, 01
2, 00
1, 99
1, 96
| 5, 16
6, 26
7, 28
9, 15
| 1, 13
1, 12
1, 11
1, 09
| 33, 0
41, 4
49.9
66.9
| 2, 03
2, 08
2, 12
2, 20
| 8, 51
10, 80
13, 10
17, 90
| 0, 91
0, 95
0, 99
1, 07
| 3, 07
3, 73
4, 36
5, 58
| 0, 87
0, 86
0, 86
0, 85
| 0, 397
0, 396
0, 393
0, 386
| 7, 4/5
|
|
|
| 7, 5
| 2, 5
| 5, 59
| 4, 39
| 27, 8
| 2, 23
| 9, 05
| 1, 27
| 56, 7
| 2, 28
| 15, 20
| 1, 05
| 5, 34
| 0, 98
| 0, 406
| 7, 5/5
|
|
|
|
| 2, 7
| 6, 11
7, 25
9, 47
| 4, 79
5, 69
7, 43
| 34.8
40.9
52, 4
| 2, 39
2, 38
2, 35
| 12.5
14.6
18, 5
| 1, 43
1, 42
1, 40
| 69, 7
83, 9
112, 0
| 2, 39
2, 44
2, 52
| 20, 8
25.2
34.2
| 1, 17
1, 21
1, 29
| 7, 24
8, 48
10, 90
| 1, 09
1, 08
1, 07
| 0, 436
0, 435
0, 430
| 8/5
|
|
|
|
| 2, 7
| 6, 36
7, 55
| 4, 99
5, 92
| 41, 6
49, 0
| 2, 56
2, 55
| 12.7
14.8
| 1, 41
1, 40
| 84, 6
102, 0
| 2, 60
2, 65
| 20, 8
25, 2
| 1, 13
1, 17
| 7, 58
8, 88
| 1, 09
1, 08
| 0, 387
0, 386
| 9/5, 6
|
|
| 5, 5
|
|
| 7, 86
8, 54
11, 18
| 6, 17
6, 70
8, 77
| 65, 3
70, 6
90, 9
| 2, 88
2, 88
2, 85
| 19, 7
21, 2
27, 1
| 1.58
1.58
1, 56
| 132.0
145.0
194.0
| 2, 92
2, 95
3, 04
| 32.2 35.2
47, 8
| 1, 26
1, 28
1, 36
| 11, 80
12, 70
16, 30
| 1, 22
1, 22
1, 21
| 0, 384
0, 384
0, 380
| 10/6, 3
|
|
|
|
| 3, 3
| 9, 59
11, 10
12, 60
15, 50
| 7, 53
8, 70
9, 87
12, 10
| 98, 3
113.0
127.0
154.0
| 3, 20
3, 19
3, 18
3, 15
| 30, 6
39, 2
47.1
| 1, 79
1, 78
1, 77
1, 75
| 198.0
232.0
333, 0
| 3, 23
3, 28
3, 32
3, 40
| 49, 9
67, 6
85.8
| 1, 42
1, 46
1, 50
1, 58
| 18, 20
20, 80
23, 40
28, 30
| 1, 38
1, 37
1, 36
1, 35
| 0, 393
0, 392
0, 391
0, 387
| 11/7
|
|
| 6, 5
|
| 3, 3
| 11, 40
13, 90
| 8, 98
10, 90
| 142.0
172.0
| 3, 53
3, 51
| 45.6
54.6
| 2, 00
1, 98
| 286, 0
353, 0
| 3, 55
3, 61
| 74.3
92.3
| 1, 58
1, 64
| 26, 90
32, 30
| 1, 53
1, 52
| 0, 402
0, 400
| 12, 5/8
|
|
|
10 12
|
| 3, 7
| 14, 10
16, 00
19, 70
23, 40
| 11, 00
12.50
15.50
18, 30
| 227.0
256.0
312.0
365.0
| 4, 01
4, 00
3, 98
3, 95
| 73, 7
83.0
100, 0117, 0
| 2, 29
2, 28
2, 26
2, 24
| 452.0
518.0
649.0
781.0
| 4, 01
4, 05
4, 14
4, 22
| 119.0
137.0
173.0
210.0
| 1, 80
1, 84
1, 92
2, 00
| 43, 3048, 80
59, 3069, 50
| 1, 76
1, 75
1, 74
1, 72
| 0, 407
0, 406
0, 404
0, 400
| 14/9
|
|
|
|
|
| 18, 00
22, 20
| 14, 10
17, 50
| 364.0
444.0
| 4, 49
4, 47
| 120, 0
146, 0
| 2, 58
2, 56
| 727.0
911.0
| 4, 49
4, 58
| 194.0
245.0
| 2, 03
2, 12
| 70, 30
85, 50
| 1, 98
1, 96
| 0, 411
0, 409
| 16/10
|
|
|
12 14
|
| 4, 3
| 22, 90
25, 30
30, 00
34, 70
| 18, 00
19, 80
23, 60
27, 30
| 606, 0
667.0
784.0
897.0
| 5, 15
5, 13
5, 11
5, 08
| 186, 0
204.0
239.0
272.0
| 2, 85
2, 84
2, 82
2, 80
|
| 5, 19
5, 23
5, 32
5, 40
| 300.0
335.0
405.0
477.0
| 2, 23
2, 28
2, 36
2, 43
| 110, 0
121, 0
142.0
162.0
| 2, 20
2, 19
2, 18
2, 16
| 0, 391
0, 390
0, 388
0, 385
|
18/11
|
|
|
|
| 4, 7
| 28, 30
33, 70
| 22, 20
26, 40
| 952.0
1123.0
| 5, 80
5, 77
| 276.0
324.0
| 3, 12
3, 10
|
| 5, 88
5, 97
| 444.0
537.0
| 2, 44
2, 52
| 165.0
194.0
| 2, 42
2, 40
| 0, 375
0, 374
| 20/
12, 5
|
|
|
|
| 4, 7
| 34.90
37.90
43, 90
49, 80
| 27, 40
29, 70
34, 40
39, 10
| 1449.0
1568.0
1801, 0
2026, 0
| 6, 45
6, 43
6, 41
6, 38
| 446.0
482.0
551.0
617.0
| 3, 58
3, 57
3, 54
3, 52
|
| 6, 50
6, 54
6, 62
6, 71
| 718.0
786.0
922, 0
| 2, 79
2, 83
2, 91
2, 99
| 264.0
285.0
327.0
367.0
| 2, 75
2, 74
2, 73
2, 72
| 0, 392
0, 392
0, 390
0, 388
| 25/16
|
|
|
|
|
| 48, 30
63, 60
71, 10
78, 50
| 37.90
49, 90
55, 80 61, 70
| 3147.0
4091.0
4545.0
4987.0
| 8, 07
8, 02
7, 99
7, 97
|
145, 0
| 4, 62
4, 58
4, 56
4, 53
|
| 7, 97
8, 14
8, 23
8, 31
|
| 3, 53
3, 69
3, 77
3, 85
| 604.0
781.0
866, 0
949, 0
| 3, 54
3, 50
3, 49
3, 48
| 0, 410
0, 408
0, 407
0, 405
|
Сталь прокатная — балки двутавровые (ГОСТ 8239—72)
Обозначения:
h -высота балки;
b -ширина полки;
d -толщина стенки;
t -средняя толщина полки;
R -радиус внутреннего закругления;
r -радиус закругления полки;
J -момент инерции;
W -момент сопротивления;
S -статический момент полусечения;
i - радиус инерции.
Номер
профиля
| Масса 1 м длины, кг
| Размеры, мм
| Пло
щадь
сече
ния,
| Справочные величины для осей
| h
| b
| d
| t
| R
| r
| х—х
х—х
х—х
х—х
| y—y
| , '
| ,
| , см
| ,
| , '
| ,
| , см
|
| 9, 46
|
|
| 4, 5
| 7, 2
| 7, 0
| 2, 5
| 12, 0
|
| 39, 7
| 4, 06
| 23, 0
| 17, 9
| 6, 49
| 1, 22
|
| 11, 5
|
|
| 4, 8
| 7, 3
| 7, 5
| 3, 0
| 14, 7
|
| 58, 4
| 4, 88
| 33, 7
| 27, 9
| 8, 72
| 1, 38
|
| 13, 7
|
|
| 4, 9
| 7, 5
| 8, 0
| 3, 0
| 17, 4
|
| 81, 7
| 5, 73
| 46, 8
| 41, 9
| 11, 5
| 1, 55
|
| 15, 9
|
|
| 5, 0
| 7, 8
| 8, 5
| 3, 5
| 20, 2
|
| 109, 0
| 6, 57
| 62, 3
| 58, 6
| 14, 5
| 1, 70
|
| 18, 4
|
|
| 5, 1
| 8, 1
| 9, 0
| 3, 5
| 23, 4
|
| 143, 0
| 7, 42
| 81, 4
| 82, 6
| 18, 4
| 1, 88
| 18а
| 19, 9
|
|
| 5, 1
| 8, 3
| 9, 0
| 3, 5
| 25, 4
|
| 159, 0
| 7, 51
| 89, 8
| 114, 0
| 22, 8
| 2, 12
|
| 21, 0
|
|
| 5, 2
| 8, 4
| 9, 5
| 4, 0
| 26, 8
|
| 184, 0
| 8, 28
| 104, 0
| 115, 0
| 23, 1
| 2, 07
| 20а
| 22, 7
|
|
| 5, 2
| 8, 6
| 9, 5
| 4, 0
| 28, 9
|
|
| 8, 37
|
|
| 28, 2
| 2, 32
|
| 24, 0
|
|
| 5, 4
| 8, 7
| 10, 0
| 4, 0
| 30, 6
|
|
| 9, 13
|
|
| 28, 6
| 2, 27
| 22а
| 25, 8
|
|
| 5, 4
| 8, 9
| 10, 0
| 4, 0
| 32, 8
|
|
| 9, 22
|
|
| 34, 3
| 2, 50
|
| 27, 3
|
|
| 5, 6
| 9, 5
| 10, 5
| 4, 0
| 34, 8
|
|
| 9, 97
|
|
| 34, 5
| 2, 37
| 24а
| 29, 4
|
|
| 5, 6
| 9, 8
| 20, 5
| 4, 0
| 37, 5
|
|
| 10, 10
|
|
| 41, 6
| 2, 63
|
| 31, 5
|
|
| 6, 0
| 9, 8
| 11, 0
| 4, 5
| 40, 2
|
|
| 11, 20
|
|
| 41, 5
| 2, 54
| 27а
| 33, 9
|
|
| 6, 0
| 10, 2
| 11, 0
| 4, 5
| 43, 2
|
|
| 11, 30
|
|
| 50, 0
| 2, 80
|
| 36, 5
|
|
| 6, 5
| 10, 2
| 12, 0
| 5, 0
| 46, 5
|
|
| 12, 30
|
|
| 49, 9
| 2, 69
| 30а
| 39, 2
|
|
| 6, 5
| 10, 7
| 12, 0
| 5, 0
| 49, 9
|
|
| 12, 50
|
|
| 60, 1
| 2, 95
|
| 42, 2
|
|
| 7, 0
| 11, 2
| 13, 0
| 5, 0
| 53, 8
|
|
| 13, 50
|
|
| 59, 9
| 3, 79
|
| 48, 6
|
|
| 7, 5
| 12, 3
| 14, 0
| 6, 0
| 61, 9
|
|
| 14, 70
|
|
| 71, 1
| 2, 89
|
| 57, 0
|
|
| 8, 3
| 13, 0
| 15, 0
| 6, 0
| 72, 6
|
|
| 16, 20
|
|
| 86, 1
| 3, 03
|
| 66, 5
|
|
| 9, 0
| 14, 2
| 16, 0
| 7, 0
| 84, 7
|
|
| 18, 10
|
|
| 101, 0
| 3, 09
|
| 78, 5
|
|
| 10, 0
| 15, 2
| 17, 0
| 7, 0
|
|
|
| 19, 90
|
|
| 123, 0
| 3, 23
|
| 92, 6
|
|
| 11, 0
| 16, 5
| 18, 0
| 7, 0
|
|
|
| 21, 80
|
|
| 151, 0
| 3, 39
|
| 108, 0
|
|
| 12, 0
| 17, 8
| 20, 0
| 8, 0
|
|
|
| 23, 60
|
|
| 182, 0
| 3, 54
|
Сталь прокатная — швеллеры (ГОСТ 8240—72)
Обозначения:
h — высота швеллера;
b — ширина полки;
d — толщина стенки;
t — средняя толщина полки;
R — радиус внутреннего закругления;
r — радиус закругления полки;
J — момент инерции;
W — момент сопротивления;
S — статический момент полусечения;
i — радиус инерции;
— расстояние от оси у—у до наружной грани стенки.
Номер
про
филя
| Масса 1 м длины, кг
| Размеры, мм
| Пло
щадь
сече
ния,
| Справочные величины для осей
| h
| b
| d
| t
| R
| r
| х—х
х—х
| y—y
| , см
| ,
| ,
| , см
| ,
| ,
| ,
| , см
|
| 4, 84
|
|
| 4, 4
|
|
| 2, 5
| 6, 16
| 22, 8
| 9, 1
| 1, 92
| 5, 59
| 5, 61
| 2, 75
| 0, 954
| 1, 16
| 6, 5
| 5, 9
|
|
| 4, 4
| 7, 2
|
| 2, 5
| 7, 51
| 48, 6
|
| 2, 54
|
| 8, 7
| 3, 68
| 1, 08
| 1, 24
|
| 7, 05
|
|
| 4, 5
| 7, 4
| 6, 5
| 2, 5
| 8, 98
| 89, 4
| 22, 4
| 3, 16
| 13, 3
| 12, 8
| 4, 75
| 1, 19
| 1, 31
|
| 8, 59
|
|
| 4, 5
| 7, 6
|
|
| 10, 9
|
| 34, 8
| 3, 99
| 20, 4
| 20, 4
| 6, 46
| 1, 37
| 1, 44
|
| 10, 4
|
|
| 4, 8
| 7, 8
| 7, 5
|
| 13, 3
|
| 50, 6
| 4, 78
| 29, 6
| 31, 2
| 8, 52
| 1, 53
| 1, 54
|
| 12, 3
|
|
| 4, 9
| 8, 1
|
|
| 15, 6
|
| 70, 2
| 5, 6
| 40, 8
| 45, 4
|
| 1, 7
| 1, 67
| 14а
| 13, 3
|
|
| 4, 9
| 8, 7
|
|
|
|
| 77, 8
| 5, 66
| 45, 1
| 57, 5
| 13, 3
| 1, 84
| 1, 87
|
| 14, 2
|
|
|
| 8, 4
| 8, 5
| 3, 5
| 18, 1
|
| 93, 4
| 6, 42
| 54, 1
| 63, 3
| 13, 8
| 1, 87
| 1, 8
| 16а
| 15, 3
|
|
|
|
| 8, 5
| 3, 5
| 19, 5
|
|
| 6, 49
| 59, 4
| 78, 8
| 16, 4
| 2, 01
| 2, 0
|
| 16, 3
|
|
| 5, 1
| 8, 7
|
| 3, 5
| 20, 7
|
|
| 7, 24
| 69, 8
|
|
| 2, 04
| 1, 94
| 18а
| 16, 4
|
|
| 5, 1
| 9, 3
|
| 3, 5
| 22, 2
|
|
| 7, 32
| 76, 1
|
|
| 2, 18
| 2, 13
|
| 18, 4
|
|
| 5, 2
|
| 9, 5
|
| 23, 4
|
|
| 8, 07
| 87, 8
|
| 20, 5
| 2, 20
| 2, 07
| 20а
| 19, 8
|
|
| 5, 2
| 9, 7
| 9, 5
|
| 25, 2
|
|
| 8, 15
| 95, 9
|
| 24, 2
| 2, 35
| 2, 28
|
|
|
|
| 5, 4
| 9, 5
|
|
| 26, 7
|
|
| 8, 89
|
|
| 25, 1
| 2, 37
| 2, -21
| 22а
| 22, 6
|
|
| 5, 4
| 10, 2
|
|
| 28, 8
|
|
| 8, 99
|
|
|
| 2.55
| 2, 46
|
|
|
|
| 5, 6
|
| 10, 5
|
| 30, 6
|
|
| 9, 73
|
|
| 31, 6
| 2, 60
| 2, 42
| 24а
| 25, 8
|
|
| 5, 6
| 10, 7
| 10, 5
|
| 32, 9
|
|
| 9, 84
|
|
| 37, 2
| 2, 78
| 2, 67
|
| 27, 2
|
|
|
| 10, 5
|
| 4, 5
| 35, 2
|
|
| 10, 9
|
|
| 37, 3
| 2, 73
| 2, 47
|
| 31, 8
|
|
| 6, 5
|
|
|
| 40, 5
|
|
| 12, 0
|
|
| 43, 6
| 2, 84
| 2, 52
|
| 36, 5
|
|
|
| 11, 7
|
|
| 46, 5
|
|
| 13, 1
|
|
| 51, 8
| 2, 97
| 2, 59
|
| 41, 9
|
|
| 7, 5
| 12, 6
|
|
| 53, 4
|
|
| 14, 2
|
|
| 61, 7
| 3, 10
| 2, 68
|
| 48, 3
|
|
| 8, 0
| 13, 5
|
|
| 61, 5
| 15 220
|
| 15, 7
|
|
| 73, 4
| 3, 23
| 2, 75
|
РЕКОМЕНДУЕМАЯ ЛИТЕРАТУРА
|