20
Введение
Горная крепь – искусственное сооружение, которое возводится в выработках
для предотвращения обрушения окружающих пород и сохранения необходимых
площадей сечений выработок в нормальном состоянии на протяжении всего
срока эксплуатации.
В общем комплексе работ, связанных с добычей полезных ископаемых, важное
место занимает крепление и поддержание капитальных выработок. Для
дальнейшего совершенствования горно-подготовительных работ в выработках
особую роль занимает проблема развития методов прогнозирования
проявлений горного давления и расчета крепей. С применением численных
методов и ПЭВМ методы выбора способов охраны выработок и проектирования
крепей получили достаточно достоверную научную основу, что приводит к
улучшению состояния выработок и способствует повышению
технико-экономических показателей подземной разработки.
Цель данного курсового проектирования – приобретение навыков
проектирования крепи горных выработок с использованием современных ПЭВМ.
Исходными данными для проектирования являются горно-геологические и
горнотехнические условии проведения выработок в реальных условиях со
следующими характеристиками:
Сечение выработки Sсв – 12,8м2
Высота выработки-3400 мм
Ширина выработки – 5300 мм
Глубина залегания – 950м
Прочность пород, МПа/мощность, м: 1 аргиллиты – 32/2,0;
алевролиты – 45/2,8; песчаники-58/6,9; уголь – 18/2,6.
Обводненность: небольшая
Расстояние от почвы пласта – 4/0
Угол падения пород – 9 градусов.
Направление проходки – под углом
Срок службы – 4 года, одиночная
Тип выработки – вскрывающая
Условия проходки – БВР
Расчет внутренних усилий в крепи производится по программе,
разработанной авторами под руководством проф. Колоколова С.Б.
Курсовой проект состоит из двух частей: расчета металлической арочной
податливой крепи и расчета монолитной бетонной крепи.
1. Расчет горного давления на крепь выработки
1.1. Определение расчетных сопротивлений окружающих выработку пород
По заданному сечению выработки определяются основные геометрические
размеры выработки (высота, ширина, радиус). Данные по геометрическим
размерам крепи приведены в справочной литературе (справочник по
креплению). Данные в задании приведены для сечения выработки в свету, а
для расчетов необходимо использование геометрических размеров для
сечения выработки в проходке. Для этого размеры по ширине выработки
должны быть увеличены на 0,4 м, а по высоте на 0,3 м.
Нпр=h+300мм (1.1) Нпр=3400+300=3700мм
Впр=b+400мм. (1.2)
Впр=5300+400=5700мм
Расчетная глубина Нр размещения подземной горной выработки определяется
по формуле:
Нр=Н*k, м (1.3)
где Н –проектная глубина заложения выработки, м; k – коэффициент
учитывающий отличие действующего напряженного состояния массива от
собственного веса толщи пород до поверхности. Принимается в зонах
тектонических нарушений равным 1.5. и равным 1.0 во всех остальных
случаях.
Нр=900*1=900м
Расчетное сопротивление пород сжатию Rc определяется по формуле:
Rc=R*kc*kH2O, Мпа
R – среднее значение сопротивления пород в образце на одноосное сжатие,
МПа;
kc – коэффициент учитывающий дополнительную нарушенность массива пород.
kH2O – коэффициент обводненности
Rcаргил=1*32*0,75 = 24 МПа
Rcалевр=1*45*0,8 = 36 МПа
Rcпесч=1*58*0,9 = 52 МПа
Rcуголь=1*18*1 = 18 МПа
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ffeffffffffffff77777b9ffffff7fffffdffffffffffffffffff8000000ffffffefffff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В случае обводненности проектируемой выработки снижение прочности пород
за счет воздействия влаги учитывают путем уменьшения прочности
песчаников до 20%, алевролитов до 40% и аргиллитов до 50%.
Для оценки ранее выполненной проектной документации и при использовании
имеющихся нормативных документов допускается определять сопротивление
пород сжатию в образце R по коэффициенту крепости пород f в соответствии
со шкалой М.М. Протодьяконова.
R=10*f (1.5)
где f – коэффициент крепости пород, принимаемый по шкале М.М.
Протодьяконова.
Расчетное сопротивление пород сжатию Rc по контуру поперечного сечения
выработки должно определяться с учетом всех пересекаемых выработкой
слоев (пластов) мощностью более 0,1 м, залегающих на расстояниях от
контура сечения выработки: в кровле 1,5 B, в почве и боках выработки –
1B, где B – ширина выработки (см. рис.1). При наличии п слоев,
залегающих по контуру поперечного сечения выработки, с изменчивостью Rc
в пределах 30% принимается для всей выработки усредненное значение
расчетного сопротивления пород сжатию, определяемое по формуле:
Rcy=(m1R1+m2R2…+mnR) /(m1+m2+…mn)
где R – расчетное сопротивление пород сжатию, МПа;
n – число породных слоев;
m – мощность i-го слоя.
Rкровля=picscalex100010009000003cf01000003001c00000000000500000009020000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МПа
Rпочва=picscalex100010009000003af01000003001c000000000005000000090200000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 МПа
Rбок=picscalex1000100090000037f01000003001c00000000000500000009020000000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 МПа
Определение требуемых характеристик крепи
По методике ВНИМИ, для прогноза устойчивости горизонтальных выработок
угольных шахт в качестве критерия устойчивости принимается величина
ожидаемых смещений на контуре сечения незакрепленной выработки за весь
срок ее службы, определяемых по формуле:
u=КККSКвКtUт, мм
где, uт – смещения (типовые), определяемые по графикам (рис.1.2);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Рисунок 1.2. – Графики для определения типовых смещений пород.
Uт кр=280; Uт бок=1050; Uт поч=500
К – коэффициент, учитывающий направление смещений пород и принимающий
значение 1 при определении смещений со стороны кровли или почвы (в
вертикальном направлении). При определении боковых смещений пород (в
горизонтальном направлении) К принимается по табл.1.1.
Таблица 1.1
Направление
проходки
выработкиКоэффициенты К и К в зависимости от угла падения пород , град
до 20 21-30 31 – 40 41-50 более 50ККККККККККПо
простиранию10,350,950,550,80,80,651,20,61,5Вкрест
простирания0,70,550,60,80,450,950,250,950,20,8Под углом к
простиранию0,850,450,80,650,650,90,451,050,351,1
Кбкр= 0,85; Кббок= 0,85; Кбпоч= 0,85
К – коэффициент, учитывающий направление смещений пород и принимающий
значение 1 при определении смещений со стороны кровли или почвы (в
вертикальном направлении). При определении боковых смещений пород (в
горизонтальном направлении) К принимается по табл.1.1.
Кикр = 0,45; Кипоч = 0,45; Кибок = 0,45
КS – коэффициент влияния пролета выработки для кровли и почвы
принимается равным КS = 0,2 (b-1), для боков выработки КS = 0,2 (h-1) (b
– пролет выработки, h – высота выработки);
Кsкр. пч. =0,2(5,7-1) =0,94 (1.8)
Кs бок=0,2(3,7-1) =0,54
КВ – коэффициент влияния других выработок, равный для одиночных
выработок 1;
Кt – коэффициент влияния времени, принимаемый равным 1 для выработок,
срок службы которых более 15 лет.д.ля выработок срок службы которых
более года Кt определяется по рис.1.3. Смещения определяются отдельно
для кровли, почвы и боков выработки.
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ffff8000000005000000070101000000030000000000
Рисунок 1.3. – Графики для определения коэффициента Кt при сроке службы
выработки более года.
Uкр=0,85*0,45*0,94*1*1*280=101 мм.
Uпоч=0,85*0,45*0,94*1*1*500=180 мм.
Uбок=0,85*0,45*0,54*1*0,5*1050=108 мм.
1.3. Определение расчетных нагрузок на крепь
Нормативные нагрузки на незамкнутую крепь определяют по графикам рис в
зависимости от смещений пород U и ширины выработки в проходке. Если
свойства пород в боках выработки различны, то ожидаемые смещения U и
определяемые по смещениям нормативные нагрузки боковые нагрузки также
будут отличаться друг от друга. В этом случае для дальнейших расчетов
принимают усредненное значение нормативной нагрузки со стороны боков и
нормативную нагрузку со стороны почвы.
Нормативные нагрузки на замкнутую крепь также определяются по графикам
рис.1.4. отдельно для кровли, почвы и боков. Усредненная вертикальная
нагрузка определяется по значениям нормативных нагрузок со стороны
кровли и почвы, усредненная горизонтальная нагрузка – по значениям
нормативных нагрузок со стороны боков.
Рисунок 1.4. – Графики определения нормативной нагрузки на крепь
Расчетная вертикальная нагрузка на 1 м длины выработки определяется по
формуле:
Рв=kп*kн*kпр*Рнв, кПа, (1.9)
где kп – коэффициент перегрузки, учитывающий изменчивость нагрузки
(табл.1.2);
kн – коэффициент, принимаемый для главных вскрывающих выработок равным
1,1; для остальных-1;
kпр – коэффициент условий проведения выработок, принимаемый равным 1 при
проведении выработок буровзрывным способом.
Рнв – нормативная вертикальная нагрузка.
Таблица 1.2. – Значения коэффициента kп
U, ммЗначения kп для выработок Вскрывающих Подготавливающихдо
501,251,151-2001,11,05201-5001,051более 50011
Рв=1,1*1*1*45=50 кПа
Расчетная нагрузка на 1 м выработки со стороны боков определяется по
формуле:
Рб=kп*kн*kпр*Рнб, кПа, (1.9)
где Рнб – нормативная горизонтальная нагрузка, кПа.
Рб= 1,1*1*1*29=32 кПа
2. Расчет металлической арочной податливой крепи
По полученным данным расчетных сопротивлений окружающих выработку пород,
определение смещений контура выработки и определение расчетных нагрузок
на крепь. Выбор данных параметров производится согласно разработанной
методики ВНИМИ.
Полученные данные должны быть введены следующие данные:
1) Радиус криволинейной части крепи R и высота прямолинейной части
(стоек) h, (рис.2.1).
R=В/2 (2.1)
R=5700/2=2850 мм
h=H-R (2.2)
h=3700-2850=850 мм
Рисунок 2.1. – Расчетная схема для металлической арочной крепи.
2) Число частей деления каждой из вертикальных стоек 4 и число деления
криволинейной части 9.
3) Вертикальная и горизонтальная нагрузка на крепь равные соответственно
50 кПа и 32 кПа.
4) Угол наклона стоек к вертикали равен нулю.
Полученные результаты расчета содержат значения изгибающих моментов и
продольных сил в каждой заданной точке крепи (таблица 2.1). На основании
данных значений находится максимальный изгибающий момент (по модулю) и
соответствующее этому моменту нормальная сила.
Таблица 2.1. – Расчет металлической крепи на ЭВМ
i= х [i] = y [i] = М [i] = N [i] =
1-2.850.00 0.0000-142.5000
2-2.850.21 1.0002-142.5000
3-2.850.43 0.5554-142.5000
4-2.850.64 – 1.3344-142.5000
5-2.850.85 – 4.6692-143.0609
6-2.811.34 – 11.9141-143.7196
7-2.681.82 – 14.7291-142.4850
8-2.472.28 – 13.6014-138.6918
9-2.182.68 – 9.4427-133.0686
10-1.833.03 – 3.4556-126.5388
11-1.423.32 3.0324-120.1014
12-0.973.53 8.7480-114.7045
13-0.493.66 12.6401-111.1255
140.003.70 14.0177-109.8735
150.493.66 12.6401-111.1255
160.973.53 8.7480-114.7045
171.423.32 3.0324-120.1014
181.833.03 – 3.4556-126.5388
192.182.68 – 9.4427-133.0686
202.472.28 – 13.6014-138.6918
212.681.82 – 14.7291-142.4850
222.811.34 – 11.9141-143.7196
232.850.85 – 4.6692-143.0609
242.850.64 – 1.3344-142.5000
252.850.43 0.5554-142.5000
262.850.21 1.0002-142.5000
272.850.00 0.0000-142.5000
В нашем случае после расчетов Мmax=14,01 кН*м, и N=109,87 кН*м
Проверка прочности производится по формуле: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 (2.3)
где Wпр – момент сопротивления из (табл.2.2);
Fпр – площадь поперечного сечения из (табл.2.2)
Таблица 2.2. – Характеристики спецпрофиля.
Наименование профиляВес 1 п. г. м, кгПлощадь поперечн. сечения, F
см2Моменты сопротивления, см3Моменты инерции, см4WxWyJxJy СВП-1717,06
21,73 50,3 57,9243,4382,3СВП-2221,9 27,91 81,3 77,8428,6566,3СВП-2727,0
34,3 100,2 101,5639,5763,1СВП-3333,8 42,46 138,5148,010001228
R – расчетное сопротивление изгибу прокатной стали может быть принято
230 МПа (2300кг/см2)
L – шаг крепи принимается 0,33; 0,5; 0,75; 1.
Таблица 2.3.
Тип профиля
0,33
0,5
0,75
1
СВП-22
15*10715*10715*10715*10769,7*10746*10730,6*10723*107
СВП-27
14,8*10714,8*10714,8*10714,8*10769,7*10746*10730,6*10723*107
СВП-3311*10711*10711*10711*10769,7*10746*10730,6*10723*107
На основании полученного значения выбирается тип спецпрофиля.
СВП-22 с моментом сопротивления Wпр= 93,36 и площадью поперечного
сечения Fпр=27,91см2 с шагом крепи 1 м. Мы выбрали этот тип спецпрофиля
и шаг крепления исходя из уравнения.
15*107?23*107
Арочные податливые трехзвенные металлические крепи являются наиболее
распространенным видом крепи горизонтальных и наклонных горных
выработок. Арка состоит из трех звеньев: двух стоек и верхняка.
3. Расчет бетонной крепи.
Расчет параметров бетонной крепи, производится по тем же самым
параметрам что и для расчета арочной металлической крепи, однако сама
бетонная крепь имеет ряд конструктивных отличий от металлической крепи
рассчитанной выше. Схема бетонной крепи показана на рисунке 3.1
Полученные выше данные о вертикальном и горизонтальном давлении должны
быть использованы при расчете прочностных характеристик бетонной крепи с
использованием ПЭВМ. Для проведения расчета в программу должны быть
введены следующие данные:
Высота свода в свету может приниматься по СНиП:
h0=В/3
где В – ширина выработки в проходке.
h0 =5700/3=1900мм
Для определения толщины свода в замке можно воспользоваться формулой
С.С. Давыдова: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где L0 – полупролет выработки, м;
f – коэффициент крепости пород по Протодьяконову.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м
Толщина свода в пяте:
dп= (1,25-1,50) d0
dп = 1,35*0,25=0,325 м
Толщина стен:
с = (1,00-2,00) dп
с = 1,5*0,325=0,49 м
Для проведения расчета в программу должны быть введены следующие данные:
Количество элементов крепи (обычно прямолинейный элемент, малый радиус,
большой радиус). Для упрощения можно принять прямолинейный элемент и
большой радиус.
Вертикальную и горизонтальную нагрузки на крепь.
Координату Х крайней нижней (левой) точки каждого элемента
Координату У крайней нижней (левой) точки каждого элемента
Х1=В/2; У1=1,8+В/3;
Х1=5,7/2=2,85 м; У1=1,8+5,7/3=3,7 м
Х2=В/2; У2=В/3;
Х2=5,7/2=2,85 м; У2=5,7/3=1,9 м
Х3=0,383*В; У3=0,115*В;
Х3=0,383*5,7=2,18 м; У3=0,115*5,7=0,65 м
Радиус кривизны в метрах (для прямолинейного участка = 100)
Для малого радиуса r=0,262*В; R=0,692*В
r=0,262*5,7=1,49м; R=0,692*5,7=3,9м.
Количество участков разбиения элементов:
– для прямолинейной части (четное число) 4-8
– для криволинейной части (четное число) 4-10, принимается из условия
удобства разбиения криволинейной части на углы по которым откладываются
полученные нагрузки.
Относительную жесткость элемента (в случае одинаковой толщины крепи
равна 1)
Так как при расчете принимаются симметричные боковые и вертикальная
нагрузка относительно оси Y, то для определения внутренних усилий в
крепи достаточно ввести координаты X и Y только одной половины контура
выработки.
Рисунок 3.1. – Расчетная схема для бетонной крепи.
Расчет сводится к определению изгибающих моментов, поперечных и
продольных сил, положения кривой давления в сечении свода и при
необходимости корректировки геометрической формы и размеров свода.
Выделенная из свода арка единичной ширины является бесшарнирной.
Полученные результаты расчета содержат значения изгибающих моментов и
продольных сил в каждой заданной точке крепи. На основании данных
значений производится расчет бетонной крепи в следующей
последовательности.
Таблица 3.1. – Расчет бетонной крепи на ЭВМ
Nэл Х Y R NJ EI
1 2,85 3,70 100 4 1
2 2,85 1,90 1.49 4 1
3 2,18 0,66 3.94 4 1
i= x [i] = y [i] = M [i] = N1 [i] = N2 [i] =
1 2.85 3.70 19.80 -142.50 -142.50 2 2.85 3.25 19.92-142.50 -142.50 3
2.85 2.80 13.56-142.50 -142.50 4 2.85 2.35 0.72-142.50 -142.50 5 2.85
1.90 -18.60-147.57 -146.776 2.81 1.54 -32.61-153.10 -150.887 2.67 1. 19
-37.50-151.11. -148.008 2.46 0.89 -33.55-142.61 -139.359 2.38 0.66
-21.82-131.88 -127.44 10 1.68 0.37 0.09-122.46 -138.9911 1.14
0.1717.01-115.45 -113.2512 0.58 0.0427.72-111.40 -130.6513 0.00
0.0031.44-130.65 -111.4014 -0.58 0.0427.72-113.25 -115.4515 -3.14
0.1717.01-138.99 -122.46Продолжение.
16 -1.68 0.370.09-127.44 -131.8817 -2.18 0.66-21.82-139.35 -142.6118
-2.46 0.89-33.55-148.00 -151.1119 -2.67 1. 19-37.50-150.88 -153.1020
-2.81 1.54-32.61-146.77 -147.5721 -2.85 1.90-18.60-142.50 -142.50 22
-2.85 2.350.72-142.50 -142.50 23 -2.85 2.8013.56-142.50 -142.50 24 -2.85
3.2519.92-142.50 -142.50 25 -2.81 3.7019.80 0.00 0.00
После расчета внутренних усилий на ПЭВМ мы определяем точку с
координатами X и Y, где имеется максимальный изгибающий момент
Мmax=37,50 и соответствующая продольная сила N=151,11 в крепи. Сжимающее
напряжение от силы N определится по формуле: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где b – размер по длине выработки, м (b=1 м).
h – толщина крепи, м (предварительно выбирается по эмпирической формуле)
усж=151,11/1*0,25=604, кН/м2
Кроме того, в сечении крепи действует изгибающий момент Mmax, тогда:
picscalex1000100090000034801000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02e00300091200000026060f001a00ffffffff000010000000c0ffffff
bfffffffc00800009f0300000b00000026060f000c004d617468547970650000c0000800
0000fa0200001000000000000000040000002d0100000500000014020002d00605000000
13020002ba081c000000fb0240fe0000000000009001010000000402001054696d657320
4e657720526f6d616e00d89ff377e19ff3772020f577470a665c040000002d0101000800
0000320a8d03db060100000057791c000000fb0240fe0000000000009001010000cc0402
001054696d6573204e657720526f6d616e00d89ff377e19ff3772020f577470a665c0400
00002d01020004000000f001010008000000320a6e01f00601000000cc7909000000320a
e002540103000000e8e7e3651c000000fb0240fe00000000000090010000000200020010
53796d626f6c0000a8090aada0f11200d89ff377e19ff3772020f577470a665c04000000
2d01010004000000f001020008000000320a6002970501000000b1e708000000320a6002
3a04010000003de71c000000fb0240fe0000000000009001010000020402001053796d62
6f6c0000210a0a75a0f11200d89ff377e19ff3772020f577470a665c040000002d010200
04000000f001010008000000320a600216000100000073e70a00000026060f000a00ffff
ffff0100000000001c000000fb021000070000000000bc02000000cc0102022253797374
656d005c470a665c00000a0021008a010000000001000000bcf31200040000002d010100
04000000f0010200030000000000
где W –момент сопротивления сечения, для прямоугольного сечения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.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уизг=37,50/0,0104=3606 кН/м2
Тогда на одной грани сечения бетонной крепи сжимающие напряжения
составят: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На другой грани крепи растягивающие напряжения составят: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усж=3606+604=4210кПа=4,21мПа
ур=604-3606=picscalex100010009000003be00000003001c0000000000050000000902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кПа=3мПа
После выбирается марка бетона (В 20) для которой определяется предел
прочности на сжатие Rb и растяжение Rbt (см. таблицу 3.2)
Таблица 3.1. – Сопротивление бетона.
БетонВ15В20В25В30В35Предел прочности на сжатие Rb,
мПа8,511,514,517,019,5Предел прочности на растяжение Rbt,
мПа0,750,91,051,21,3
Данные напряжения сравниваются с предельными в соответствии с маркой
бетона. Наши полученные значения не превышают предельные Rb (4,210.9)
У нас не выполняется условие по предельным растягивающим напряжениям в
крепи, поэтому наиболее целесообразным можно считать применение
армирования бетонной крепи.
Армирование бетонной крепи может проводится одиночной арматурой (сетка с
размерами 0,2х0,2м). Принимается арматура класса А-III, с пределом
прочности на растяжение (Rs) равной 340 мПа. Причем, сечение арматуры на
1м заранее не известно (As), поэтому ориентировочно можно принять ее
равной 1% от площади.
As=0,25*1*0,01=0,0025м2
После чего находим высоту сжатой зоны бетона по формуле: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Х=0,0025*340/11,5*1=0,07, м
Несущая способность сечения определяется по формуле: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h0 – расстояние от растянутой арматуры до наиболее удаленной точки
сжатой зоны h0 = h – а, м (а – толщина защитного слоя растянутой
арматуры а=0,02-0,03 м)
h0 =0,25-0,03=0,22м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 кН*м
В случае если полученный изгибающий момент превышает Мmax более, чем на
10-15% несущую способность сечения М1, следует уменьшить площадь
применяемой арматуры.
Уменьшаем площадь сечения арматуры:
As=0,25*1*0,01/5=0,0005
Затем находим высоту сжатой зоны бетона:
Х=0,0005*340/11,5*1=0,015
Несущая способность в этом случае определяется по формуле
М1=11,5*1*0,015(0,22/0,015/2) =37 кН*м
Полученную итоговую площадь арматуры следует разделить на пять единиц
(так как сетка имеет размеры 0,2х0,2м) т.е. пять прутков на 1 метр.
Затем от площади арматуры необходимо перейти к ее диаметру и округлить
до ближайшего целого числа.
Сечение прутка определяется по формуле:
S= As/5
S=0,0005/5=0,0001
Определяем диаметр прутка по формуле: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picscalex1000100090000038401000004001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02a004800b1200000026060f001a00ffffffff000010000000c0ffffff
a8ffffff400b0000480400000b00000026060f000c004d617468547970650000f0000800
0000fa0200001000000000000000040000002d0100000500000014026002c60305000000
13026002ca09050000001402e202ca02050000001302c602fb0208000000fa0200002000
000000000000040000002d010100050000001402ce02fb020500000013023e0442030400
00002d0100000500000014023e044a030500000013026000a8030500000014026000a803
0500000013026000220b1c000000fb0280fe000000000000900100000002000200105379
6d626f6c00002e000ae740f11200d89ff377e19ff3772020f577a00766d6040000002d01
020008000000320ac0023c0a010000003d7908000000320ac0028401010000003d791c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00d89ff377e19ff3772020f577a00766d6040000002d01030004000000f00102000800
0000320aec037d0602000000313408000000320aec034106010000002c3408000000320a
ec03930501000000333408000000320ace01fc0801000000343408000000320ace010608
010000002a3409000000320ace01f404040000003030303108000000320ace0194040100
00002c3008000000320ace01da030100000030301c000000fb0280fe0000000000009001
010000000402001054696d6573204e657720526f6d616e00d89ff377e19ff3772020f577
a00766d6040000002d01020004000000f001030008000000320ac0023a00010000006430
0a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02
000000cc0102022253797374656d00d6a00766d600000a0021008a010000000003000000
5cf31200040000002d01030004000000f0010200030000000000 0,011 м или d=1,1см
Принимаем диаметр прутка 1,2 см.
Мы определили, что при наших горно-геологических условиях при
строительстве горной выработки с применением бетонной крепи необходимо
придерживаться следующих условий:
– толщина крепи равна 0,25 м;
– марка применяемого бетона равна В20;
– армирование прутком диаметром 1,2 см.
Монолитная железобетонная крепь применяется для крепления капитальных
горизонтальных и наклонных выработок с большим сроком службы и
находящихся вне зоны очистных работ. Наиболее широко она применяется для
крепления выработок околоствольных дворов, камер, узлов сопряжения,
капитальных выработок и стволов.
СПИСОК ИСПОЛЗОВАННЫХ ИСТОЧНИКОВ
1. Каретников В.Н., Клейменов В.Б., Нуждихин А.Г. Крепление капитальных
и подготовительных горных выработок. М.: Недра, 1989г
2. Булычев Н.С., Фотиева Н.Н., Стрельцов Е. В, Проектирование и расчет
крепи капитальных выработок. М.: Недра 1986г
3. Судариков А.Е. методические указания к курсовому по дисциплине
“Расчет конструкций подземных сооружений”.
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