Разработка обоснованного проекта устойчивого борта карьера

Министерство образования Российской Федерации

Магнитогорский государственный технический университет им.Г.И. Носова

Факультет горных технологий и транспорта

Кафедра открытой разработки месторождений полезных ископаемых

Курсовая работа

по дисциплине “Основы геомеханики”

по теме: “Разработка обоснованного проекта устойчивого борта карьера”

Проверил: доцент, канд. тех. наук

Черчинцева Т.С.

Выполнил: студент группы 0905

Бондарев К.О.

Магнитогорск 2008

Содержание

Введение

1. Условия залегания и физико-механические свойства пород массива

1.1 Определение коэффициента структурного ослабления и удельного
сцепления пород в массиве

1.2 Обоснование угла внутреннего трения и удельного веса пород в массиве

1.3 Усреднение физико-механических свойств массива

2. Обоснование устойчивого результирующего угла откоса борта карьера

2.1 Определение расчетных усредненных свойств массива

2.2 Определение проектного угла устойчивого плоского откоса

Заключение

Введение

Для глубоких карьеров большое экономическое значение имеет максимально
возможное увеличение углов откоса борта: снижение на 2-30 ведет к росту
общего объема вскрыши на 5-10 млн. м3 на один километр периметра карьера
глубиной около 300 м.

С другой стороны, на необоснованно крутых бортах неизбежно развиваются
деформации в виде оползней и обрушений. В этом случае на поддержание
транспортных коммуникаций в зонах деформаций затрачивается много времени
и средств, приходится прибегать к уменьшению размеров взрывных блоков и
увеличивать частоту взрывов. Иногда оползневые борта требуют консервации
или перепроектирования карьера, что, в свою очередь, ведет к потерям
полезного ископаемого, уменьшению размеров карьера в плане, усложнению
технологии горных работ.

Из изложенного напрашивается вывод: в конкретных горнотехнических
условиях месторождения необходим поиск оптимальных параметров откоса
борта и его уступов.

Таким образом, целью геомеханических изысканий является обоснование
оптимальных проектных решений, которые обеспечивают, с одной стороны,
экономичность производства, с другой – безопасность горных работ.

Геомеханические исследования включают в себя изучение:
физико-механических свойств породного массива и изменение их с глубиной;
геологических структурных особенностей залегания пород; взаимосвязи
напряжений в массиве и деформаций пород в выработках; прогнозирование
вероятных деформаций и мероприятия по их предупреждению.

Исходные данные

Рисунок 1 Поперечное сечение месторождения по лежачему боку залежи: А
-нижняя бровка проектного борта карьера; Н – высота борта карьера

Таблица 1.

Исходные данные

Номер варианта1Глубина карьера, Н, м 360Мощность песчано-глинистых
отложений, m1, м15Мощность сильнотрещиноватых скальных пород, m2,
м200Срок службы карьера, лет25

Таблица 2.

Физико-механические свойства образцов пород и их структурные особенности
в массиве

Тип пород и их свойстваПесчано-глинистые отложенияСильно трещиноватые
скальныеСредне трещиноватые скальныеУдельный вес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,
МН/м30,0250,0340,035Удельное сцепление С0, МПа0,0311,411,6Угол активного
внутреннего трения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,
град213330Среднее расстояние между трещинами,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, м-0,240,51. Условия залегания и физико-механические свойства
пород массива

1.1 Определение коэффициента структурного ослабления и удельного
сцепления пород в массиве

Так как свойства пород заданы для образцов пород, их необходимо
пересчитать на условия массива.

Удельное сцепление – это прочность породы на сдвиг, то есть минимальное
касательное напряжение, при котором происходит смещение одной части
породы по отношению к другой.

Интенсивность трещиноватости – это количество трещин, приходящихся на 1
погонный метр массива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, где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 – среднее расстояние между трещинами всех систем, м.

Коэффициент структурного ослабления можно определить эмпирической
формулой
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,

где а – коэффициент, учитывающий прочность образца (Со) и характер
трещиноватости, Н – высота откоса, для которого производятся
геомеханические расчеты, м. Глинистые наносы можно считать монолитными,
для них Ксо = 0,8 и сцепление их в массиве снижается незначительно.

Степень снижения прочности характеризуется величиной коэффициента
структурного ослабления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, где С, Со – удельное сцепление пород в массиве
и образце соответственно, МПа. Зная Ксо, можно вычислить для всех типов
скальных пород их удельное сцепление в массиве

С = Ксо * Со.

Результаты вычислений представлены в таблице 3.

1.2 Обоснование угла внутреннего трения и удельного веса пород в массиве

Угол внутреннего трения пород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 – это
угол предельного равновесия, при котором одна часть породы относительно
другой находится в равновесии при полном отсутствии сцепления между
этими частями. Для снижения влияния ошибки в расчете сил трения, которая
может привести к завышению расчетной устойчивости откоса, принимают
величину tg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 всех
типов пород в расчетах на 10% ниже: tg
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02a00160011200000026060f001a00ffffffff000010000000c0ffffff
2600000020010000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001010000020402001053796d626f6c007740000000850c
0a93b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a00011c00
010000006a790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
fffff8f31200b9c1c677040000002d01010004000000f0010000030000000000 = 0.9 *
tg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, откуда
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 = arctg
(0.9*tg
picscalex100010009000003c900000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c024002c0011200000026060f001a00ffffffff000010000000c0ffffff
a6ffffff80010000e60100000b00000026060f000c004d61746854797065000060001c00
0000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320ae0010c01
0100000030791c000000fb0280fe0000000000009001010000020402001053796d626f6c
0077400000004a090aaeb7c5c677c0c5c67720c0c97700003000040000002d0101000400
0000f001000008000000320a80011c00010000006a790a00000026060f000a00ffffffff
0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656d
000000000a0021008a010000000000000000e0e41200b9c1c677040000002d0100000400
0000f0010100030000000000).

Удельный вес пород
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02a00140011200000026060f001a00ffffffff000010000000c0ffffff
2600000000010000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001010000020402001053796d626f6c0077400000005f09
0ae4b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a00012800
0100000067790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
ffff7ce41200b9c1c677040000002d01010004000000f0010000030000000000 в
равной степени оказывает влияние на величину как касательных
(разрушающих) сил, так и сил трения, поэтому в расчетах принимается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 =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.

Результаты расчетов свойств пород в массиве занесены в таблицу 3 и в
таблицу на схеме.

Таблица 3.

в образцев
массивепородыСоpicscalex100010009000003c900000002001c0000000000050000000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соCаpi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Песчано-глинистые
отложения0,03210,025–0,80,020190,025Сильно

трещиноватые скальные11,4330,0340,244,170,040,49330,30,034Средне
трещиноватые скальные11,6300,0350,52,00,050,56327,50,0351.3 Усреднение
физико-механических свойств массива

Из т. А (нижняя бровка откоса) проводим линию плоского откоса АВ под
углом к горизонтали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. Дугу линии скольжения
проводят следующим образом: от верхней бровки откоса В отмеряют 0,25*Н –
0,25* 360 = 90 м, по верхней площадке (т. С). Из конца этого отрезка
проводят луч под углом сдвига наиболее прочных пород массива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 к вертикали, или 300.
Из нижней бровки проводят луч под тем же углом к откосу. Пересечение
перпендикуляров, восстановленных к этим лучам в т. А и В, указывает
центр дуги линии скольжения. Призма САВ является участком усреднения
свойств пород.

Усредненная величина удельного сцепления
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,

где С1. .3 – удельное сцепление пород, l1. .3 – длина участков линии
скольжения:

По схеме находим: l1 =24 м, l2 = 200 м, l3 = 350 м

Тогда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0,51 МПа

Усредненный удельный вес пород
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,

где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 – удельный вес пород всех типов, m1,2,3 – вертикальная мощность
пластов пород всех типов:
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picscalex100010009000003df00000003001c0000000000050000000902000000000500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Средний по блоку удельный вес определяется как средневзвешенный в
соответствии с долевым участием разных типов пород
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,

где S1,2,3 – площадь блока, занимаемая различными породами, Si – общая
площадь i-го вертикального блока.
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 0,025 мН/м3
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picscalex1000100090000033301000002001c0000000000050000000902000000000500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 0,033 мН/м3
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picscalex1000100090000033b01000002001c0000000000050000000902000000000500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,0345 мН/м3

Величина нормального напряжения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, где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 – средний по i-му вертикальному блоку удельный
вес пород, МН/м3, hi – высота i-го блока, м,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 – угол между направлением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 и вертикалью.
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 = 0,025 * 14 * cos2 52є = 0,13 мН/м2
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 = 0,033 * 128 * cos2 45є = 2,11 мН/м2
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 = 0,0345 * 130 * cos2 25є = 3,68 мН/м2

Усредненный угол внутреннего трения
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picscalex100010009000003cf02000003001c0000000000050000000902000000000500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 = 28,3є

Результаты расчетов усредненных показателей заносим в таблицу на схеме.

2. Обоснование устойчивого результирующего угла откоса борта карьера

2.1 Определение расчетных усредненных свойств массива

Коэффициент запаса устойчивости – это величина, показывающая
относительное превышение прочности массива по сравнению со сдвигающимися
напряжениями. Для карьеров со сроком службы до 25 лет можно принять
Кзу=1,3, более 25 лет – Кзу =1,4.

По условию срок службы карьера 25 лет, значит, Кзу = 1,3.

Для определения угла откоса борта с заданным запасом используют
известную зависимость H = f (a), где Н – высота откоса, а = его угол,
Кзу = 1.

Параметры определим по расчетным механическим свойствам:
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 = 0,51/1,3 = 0,39 МПа
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 = arctg (tg 28,3є / 1,3) = 22,5є

Расчетная высота вертикального обнажения пород:
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 =
(2*0,39/0,034) *ctg (45є – (22,5є /2)) = 34 м

H’ = Н / Н90 (р) = 360/35 = 10,59

2.2 Определение проектного угла устойчивого плоского откоса

По величине H’ и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 на графике Фисенко определяем угол устойчивого
откоса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=35є.

На схеме поперечного сечения месторождения строим результирующую линию
устойчивого откоса борта под углом
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600180011200000026060f001a00ffffffff000010000000c0ffffff
2600000040010000860100000b00000026060f000c004d61746854797065000030001c00
0000fb0280fe0000000000009001010000020402001053796d626f6c007740000000800e
0a96b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a00011c00
0100000061790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
ffff98f31200b9c1c677040000002d01010004000000f0010000030000000000.

3. Построение наиболее вероятной линии скольжения в проектном борту

Это теоретически обоснованное положение поперечного сечения поверхности,
по которой деформация сдвига пород откоса вероятна в наибольшей степени,
то есть расчетная величина коэффициента запаса устойчивости по ней
является минимальной.

Определим фактическую высоту вертикального обнажения усредненных пород
массива
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 =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 50 м

На глубине Н90 от верхней площадки борта проводим горизонтальную линию.

Из верхней бровки откоса опустим вертикальный луч, который является
линией направления наибольшего главного напряжения в точке а, из которой
проводят луч под углом сдвига
picscalex1000100090000039901000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c020005e0081200000026060f001a00ffffffff000010000000c0ffffff
acffffffa0080000ac0400000b00000026060f000c004d61746854797065000010010800
0000fa0200001000000000000000040000002d0100000500000014027c00fb0605000000
13027c00cc070500000014028002db060500000013028002ec071c000000fb0280fe0000
000000009001000000020002001053796d626f6c007740000000bc070af6b7c5c677c0c5
c67720c0c97700003000040000002d01010008000000320a98031c0801000000f7790800
0000320aac021c0801000000f77908000000320a8e041c0801000000f87908000000320a
b6011c0801000000f67908000000320a9803ad0201000000e77908000000320aac02ad02
01000000e77908000000320a8e04ad0201000000e87908000000320ab601ad0201000000
e67908000000320ae002b505010000002d7908000000320ae0027901010000003d791c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01020004000000f00101000800
0000320a10040a0701000000327908000000320ae0026d030200000034351c000000fb02
80fe0000000000009001010000020402001053796d626f6c007740000000bc070af7b7c5
c677c0c5c67720c0c97700003000040000002d01010004000000f001020008000000320a
ea01d706010000006a3508000000320ae00216000100000071351c000000fb0220ff0000
00000000900100000002040200104d54204578747261000000005a090a42b7c5c677c0c5
c67720c0c97700003000040000002d01020004000000f001010008000000320a3402eb04
010000006f350a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a01000000000100
00007ce41200b9c1c677040000002d01010004000000f0010200030000000000 = 45є –
28,3є/2 = 30,85є к вертикали. Этот угол является постоянной величиной,
определяющей в каждой точке массива направление касательных напряжений
(сдвига) по отношению к направлению наибольших главных напряжений.

Средний угол наклона дуги линии скольжения
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 =
(35+28,3) /2= =31,65є.

Вертикаль из т. d показывает вероятное положение трещины отрыва при
деформации откоса. Размер площадки fc называют шириной призмы
скольжения.

4. Расчет общей устойчивости проектного плоского откоса борта

Использование усредненных свойств пород в расчетах обуславливает
значительные ошибки в определении угла откоса с заданными Кзу. Поэтому
требуется проверка проектного откоса по условию его устойчивости.

Для откосов, сложенных разнопрочными породами, для расчета величины
коэффициента запаса устойчивости обычно используют “метод
алгебраического сложения сил”.

Расчет сил в блоках выполнен по формулам:
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picscalex1000100090000036e01000002001c0000000000050000000902000000000500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picscalex1000100090000036e01000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02400240091200000026060f001a00ffffffff000010000000c0ffffff
a6ffffff00090000e60100000b00000026060f000c004d61746854797065000060001c00
0000fb0220ff0000000000009001010000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320ae001c408
01000000697908000000320ae001250401000000697908000000320ae0015b0101000000
69791c000000fb0280fe0000000000009001010000000402001054696d6573204e657720
526f6d616e00b7c5c677c0c5c67720c0c97700003000040000002d01010004000000f001
000008000000320a80017c0301000000507908000000320a80014c00010000004e791c00
0000fb0280fe0000000000009001010000020402001053796d626f6c007740000000b40f
0aa9b7c5c677c0c5c67720c0c97700003000040000002d01000004000000f00101000800
0000320a8001e4070100000062791c000000fb0280fe0000000000009001000000000402
001054696d6573204e657720526f6d616e00b7c5c677c0c5c67720c0c977000030000400
00002d01010004000000f001000009000000320a8001b20503000000636f736508000000
320a8001c204010000002a6f1c000000fb0280fe00000000000090010000000200020010
53796d626f6c007740000000b40f0aaab7c5c677c0c5c67720c0c9770000300004000000
2d01000004000000f001010008000000320a80013002010000003d6f0a00000026060f00
0a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc01020222
53797374656d000000000a0021008a010000000001000000f8f31200b9c1c67704000000
2d01010004000000f0010000030000000000

picscalex1000100090000039101000002001c0000000000050000000902000000000500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picscalex1000100090000034101000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c024002e0061200000026060f001a00ffffffff000010000000c0ffffff
a6ffffffa0060000e60100000b00000026060f000c004d61746854797065000060001c00
0000fb0220ff0000000000009001010000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320ae0016506
01000000697908000000320ae001780401000000697908000000320ae001100102000000
63691c000000fb0280fe0000000000009001010000000402001054696d6573204e657720
526f6d616e00b7c5c677c0c5c67720c0c97700003000040000002d01010004000000f001
000008000000320a8001ff05010000006c6908000000320a80017b030100000043690800
0000320a800146000100000046691c000000fb0280fe0000000000009001000000000402
001054696d6573204e657720526f6d616e00b7c5c677c0c5c67720c0c977000030000400
00002d01000004000000f001010008000000320a80011505010000002a691c000000fb02
80fe0000000000009001000000020002001053796d626f6c007740000000a1080a26b7c5
c677c0c5c67720c0c97700003000040000002d01010004000000f001000008000000320a
80014702010000003d690a00000026060f000a00ffffffff0100000000001c000000fb02
1000070000000000bc02000000cc0102022253797374656d000000000a0021008a010000
00000000000098f31200b9c1c677040000002d01000004000000f0010100030000000000

Таблица 4.

Расчет сил по линии скольжения

Номер блока iШирина В, мВысота h, мУдельный вес пород г, мН/м3Сила
тяжести Р, мНУгол сдвига в, градКасательная сила Т, мННормальная сила N,
мНУгол внутреннего трения ц, градСила трения Fт, мНУдельное сцепление С,
МПаДлина основания блока L, мСила сцепления Fс,
мН150500,034854863,256,930,333,20,497637,2251700,034121,44788,882,830,34
8,40,497235,3350820,034139,44089,6106,830,362,40,496632,3452880,035160,0
3796,4127,927,566,60,566536,4550890,035155,83384,9130,727,568,00,566033,
6650830,035145,32561,4131,727,568,60,565731,9751710,035126,72247,5117,52
7,561,20,565530,8852550,035100,11932,694,627,549,20,565530,8951370,03566
,01517,163,827,533,20,565329,71050270,03547,311946,427,524,20,565128,6Су
мма сил—–590,5 515,0 326,6

Коэффициент запаса устойчивости
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, где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 –

удерживающие силы: сумма сил трения и сумма сил сцепления
соответственно,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 – сдвигающие
силы: сумма касательных сил, МН.
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 =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 1,43

Принятый проектный угол откоса борта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удовлетворяет условию устойчивости откоса с усредненными свойствами
пород.

5. Расчет местной устойчивости проектного откоса из глинистых пород

Прочность усредненных пород значительно выше прочности пород наносов,
поэтому часть откоса принадлежащая слабым породам, требует проверки его
устойчивости и соответствующей корректировки борта.

Расчет коэффициента запаса местной устойчивости этой части откоса можно
выполнить методом “касательных напряжений”.
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 =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 2,2 м
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 = 45є –
19є/2 = 35,5є
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 = (35+19) /2= =27є.

Вычертим схему поперечного сечения части откоса по глинистым наносам в
масштабе 1: 200 или 1: 500, построим наиболее вероятную линию
скольжения, используя свойства глинистых наносов и высоту, равную их
вертикальной мощности m1. Наметим равномерно расположенные расчетные
точки линии скольжения 0,1,. .6. и рассчитаем для каждой точки:

Касательные напряжения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Сопротивление пород сдвигу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Все результаты замеров и расчетов заносим в таблицу 5.

Таблица 5

Касательные напряжения и сопротивление сдвигу

номер расчетной точкивысота пород над точкой h, мугол сдвига в,
градсопротивление пород сдвигу, МПакасательные напряжения,
МПа0040,020,0013,2120,0460,01625,2240,0570,04836,0370,0530,07245,8460,04
40,07353,5550,030,04162,2900,020,00

Строим координатную сетку, у которой горизонтальной осью служит
развертка линии скольжения, вертикальная – ось касательных напряжений, и
эпюры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 и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 по полученным
результатам (таб.5).

Замеряем площади построенных эпюр и определяем коэффициент запаса
устойчивости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 = 60,9/63,1 = 0,97

Если расчетный Кзу

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