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凭祥市平而口岸管理和货物监管中心项目北面地块高边坡设计方案排桩式、格构式挡土墙计算书(方案三)广西土木勘察检测治理有限公司2015年5月15日排桩式锚杆挡墙验算计算项目:排桩式锚杆挡墙1计算时间:2015-05-1511:30:50星期五执行规范:[1]《建筑边坡工程技术规范》(GB50330-2013),本文简称《边坡规范》[2]《建筑结构荷载规范》(GB50009-2011),本文简称《荷载规范》[3]《建筑抗震设计规范》(GB50011-2010),本文简称《抗震规范》[4]《混凝土结构设计规范》(GB50010-2010),本文简称《混凝土规范》----------------------------------------------------------------------[简图]----------------------------------------------------------------------[已知条件]----------------------------------------------------------------------1.基本信息边坡类型岩质边坡边坡等级一级二阶直坡否边坡成因开挖嵌固点以上立柱柱高(m)10.000立柱容重(kNN/m3)25.00立柱嵌入深度((m)8.000立柱砼强度等级级C30立柱截面形状圆形立柱配筋方式均匀配筋└直径D(m)1.500立柱纵筋级别HRB400立柱中心距(mm)4.000立柱箍筋级别HRB335立柱计算方法弹性支点法立柱纵筋直径((mm)25立柱底支承条件件固定立柱as(mmm)35自动计算初始弹弹性系数√初始弹性系数AA(MN//m3)---2.锚杆(索)锚杆(索)道数数2锚杆锚杆竖向间入射角自由段锚固段锚固体水平预加水平刚度筋浆强度超挖深号类型距(m)(度)长度(m)长度(m)直径(mm)力(kN)(MN/m)fb(kPa))度(m)1锚索2.00020.0018.005.002000.00015.002950.000---2锚索2.50020.0018.005.002000.00015.002950.000---考虑开挖工况ㄨ工况数03.岩土信息背侧坡线数1面侧坡线数---嵌固点以上覆土土厚(m)0.000背侧坡线水平投影长竖向投影长坡线长坡线仰角荷载数序号(m)(m)(m)(度)130.00030.00042.42645.0000面侧坡线水平投影长竖向投影长坡线长坡线仰角序号(m)(m)(m)(度)1------------2------------岩层重度(kNN/m3)20.800岩层粘聚力(kkPa)0.000岩层内摩擦角((度)46.000岩层与结构摩擦擦角(度)10.000岩层摩阻力frrbk(kkPa)270.0000嵌固点以下地层层数1嵌固点下地层厚重度粘聚力内摩擦角摩阻力frbkk浮重度计算m,c,K地层序号(m)(kN/m3)(kPa)(度)(kPa)(kN/m3)方法110.00022.30045.00030.000270.0000---m法60000.00004.荷载信息场地环境一般地区岩石压力计算方方法修正主动岩土压力增增大系数1.000主动岩石压力修修正系数β11.550岩土压力分布三角形被动岩土压力折折减系数1.000岩土泊松比ν静止岩石压力静止岩石压力系系数层号系数Ko估算公式10.2000.250K0=ν//(1-νν)荷载组合数2序号组合名称1组合12组合2(1)组合1序号荷载名称荷载类型是否参与分项系数1挡墙结构自重永久荷载√1.0002墙背侧岩土侧压压力永久荷载√1.0003墙背侧地表荷载载引起岩土土侧压力可变荷载√1.0004墙面侧被动岩土土压力永久荷载√1.000(2)组合2序号荷载名称荷载类型是否参与分项系数1挡墙结构自重永久荷载√1.0002墙背侧岩土侧压压力永久荷载√1.0003墙背侧地表荷载载引起岩土土侧压力可变荷载√1.0004墙面侧被动岩土土压力永久荷载√1.000----------------------------------------------------------------------[计算内容]----------------------------------------------------------------------(1)墙身力系计算(2)立柱内力计算(3)立柱配筋计算(4)锚杆(索)设计计算----------------------------------------------------------------------[计算结果]----------------------------------------------------------------------一、【组合1】(一)岩土压力计算(1)合力无外倾结构面时按《边坡规范》公式(6.2.3)计算主动岩石压力: Ea=389.281(kN)Ex=383.367(kN)Ey=67.598(kN)作用点高度Zy=3.333(m)修正后岩石压力: Ea=603.385(kN)Ex=594.218(kN)Ey=104.777(kN)作用点高度Zy=3.333(m)(2)分布岩土压力分布见左侧结果图。(二)立柱内力计算(1)当前计算工况的开挖深度:10.000第1嵌固段地层计算方法:m法背侧——为挡土侧;面侧——为非挡土侧。背侧最大弯矩(标准值)=5624.621(kN-m)距离桩顶10.400(m)面侧最大弯矩(标准值)=255.359(kN-m)距离桩顶12.400(m)最大剪力(标准值)=5163.591(kN)距离桩顶11.000(m)最大位移=-20(mm)距离桩顶0.000(m)注意:锚杆设计时,当锚杆(索)受压,即水平拉力为负情况,水平拉力取为0。第1道锚杆(索)水平拉力=234.466(kN)距离桩顶2.000(m)第2道锚杆(索)水平拉力=153.938(kN)距离桩顶4.500(m)点号距顶距离弯矩(标准值)剪力(标准值)位移土反力(m)(kN-m)(kN)(mm)(kN)10.000-0.000-0.000-19.940.00020.2000.063-0.951-19.510.00030.4000.507-3.803-19.070.00040.6001.711-8.557-18.640.00050.8004.057-15.212-18.210.00061.0007.923-23.769-17.780.00071.20013.691-34.227-17.350.00081.40021.740-46.587-16.920.00091.60032.452-60.849-16.490.000101.80046.206-77.011-16.060.000112.00063.382139.390-15.630.000122.20037.470119.426-15.200.000132.40015.74097.559-14.770.000142.600-1.42773.791-14.340.000152.800-13.64948.120-13.910.000163.000-20.54720.549-13.480.000173.200-21.741-8.927-13.050.000183.400-16.850-40.302-12.620.000193.600-5.494-73.578-12.190.000203.80012.707-108.756-11.770.000214.00038.134-145.836-11.340.000224.20071.167-184.816-10.910.0002334..4001122.1877--225..699-10..480..0002444..5001355.8099--246..849-10..260..0002554..6001466.1799--114..544-10..050..0002664..8001733.5244--159..230-9..620..0002775..0002099.9977--205..817-9..190..0002885..2002555.9777--254..305-8..770..0002995..4003111.8444--304..695-8..340..0003005..6003777.9800--356..986-7..920..0003115..8004544.7644--411..179-7..500..0003226..0005422.5777--467..273-7..080..0003336..2006411.7999--525..269-6..670..0003446..4007522.8100--585..166-6..260..0003556..6008755.9911--646..965-5..850..0003666..80010111.7222--710..665-5..450..0003777..00011600.3833--776..267-5..050..0003887..20013222.3544--843..770-4..660..0003997..40014988.0166--913..175-4..270..0004007..60016877.7499--984..481-3..900..0004117..80018911.9344-11057..689-3..530..0004228..00021100.9500-11132..798-3..170..0004338..20023455.1788-11209..809-2..830..0004448..40025944.9999-11288..721-2..490..0004558..60028600.7922-11369..535-2..170..0004668..80031422.9388-11452..250-1..870..0004779..00034411.8177-11536..867-1..580..0004889..20037577.8100-11623..385-1..310..0004999..40040911.2966-11711..805-1..070..0005009..60044422.6577-11802..126-0..840..0005119..80048122.2711-11894..349-0..640..00052210..00052000.5211-11988..468-0..46-0..00053310..20055988.2066-11988..468-0..31--18566.434454410..40056244.610022167..141-0..19--22999.175555510..60051911.184444025..816-0..10--18588.675556610..80043866.025555037..820-0..04--10122.004457711..00033788.466655163..591-0..00--125..77058811..20023455.751155163..5910..02570..91759911..40014277.218844592..6730..02980..65060011..6007044.814433612..0240..0211108..03961111..8002044.017722503..9850..0211019..49462212..000-922.883311484..4910..01804..64363312..200-2288.8544679..8490..01547..32764412..400-2555.3599--176..6230..00309..14565512..600-2200.0355--301..1260..00124..50366612..800-1599.8111--304..9440..003..81867713..000-988.8222--304..944-0..00-59..13868813..200-499.6611--245..806-0..00-79..12769913..400-166.3255--166..679-0..00-72..78770013..60022.4533-93..892-0..00-54..36271113..800100.3599-39..530-0..00-33..80272214..000111.505510..918-0..00-16..64673314..20099.322215..842-0..00-4..92574414..40066.153315..8420..001..57175514..60033.299914..2710..004..13076614..80011.271110..1410..004..27777715..00000.09885..8640..003..29478815..200-00.41662..5690..002..04779915..400-00.52000..5220..000..99280015..600-00.4266-0..7590..000..28981115..800-00.2744-0..759-0..00-0..08382216..000-00.1399-0..676-0..00-0..21683316..200-00.0477-0..460-0..00-0..21384416..40000.0022-0..248-0..00-0..15385516..60000.0211-0..094-0..00-0..08786616..80000.02330..029-0..00-0..03687717..00000.01770..035-0..00-0..00688817..20000.01000..0350..000..00789917..40000.00440..0280..000..00990017..60000.00000..0180..000..00691117..800-00.00220..0120..000..00292218..000-00.00440..0100..000..000(三)立柱配筋计计算注:1下下面列出的的弯矩和剪剪力均为设设计值。22配筋计计算采用内内力设计值值,裂缝计计算采用内内力标准值值。点点号距顶距距离弯矩剪力力全部纵筋筋箍筋筋(m)(kNN.m)((kN)(mm22)(mmm2/m)10.00000.00000.0000971991151020.20000.0063--0.9551971991151030.40000.5507--3.8003971991151040.60001.7711--8.5557971991151050.80004.0057-115.2112971991151061.00007.9923-223.7669971991151071.200013.6691-334.2227971991151081.400021.7740-446.5887971991151091.600032.4452-660.84499719911510101.800046.2206-777.01119719911510112.000063.33821339.39909719911510122.200037.44701119.42269719911510132.400015.7740997.55599719911510142.60001.4427773.79919719911510152.800013.6649448.12209719911510163.000020.5547220.54499719911510173.200021.7741--8.92279719911510183.400016.8850-440.30029719911510193.60005.4494-773.57789719911510203.800012.7707-1008.75569719911510214.000038.1134-1445.83369719911510224.200071.1167-1884.81169719911510234.40001112.1187-2225.69999719911510244.50001135.8809-2446.84499719911510254.60001146.1179-1114.54449719911510264.80001173.5524-1559.23309719911510275.00002209.9997-2005.81179719911510285.20002255.9977-2554.30059719911510295.40003311.8844-3004.69959719911510305.60003377.9980-3556.98869719911510315.80004454.7764-4111.17799719911510326.00005542.5577-4667.27739719911510336.20006641.7799-5225.26699719911510346.40007752.8810-5885.16669719911510356.60008875.9991-6446.96659719911510366.800010011.7722-7110.66659719911510377.000011160.3383-7776.26679719911510387.200013322.3354-8443.77709719911510397.400014498.0016-9113.17759719911510407.600016687.7749-9884.48819719911510417.800018891.9934-10557.68899719911510428.000021110.9950-11332.7998110034411510438.200023345.1178-12009.8009111239911510448.400025594.9999-12888.7221112538811510458.600028860.7792-13669.5335113938811510468.800031142.9938-14552.2550115441111510479.000034441.8817-15336.8667117052211510489.200037757.8810-16223.3885118774411510499.400040091.2296-17111.8005220613311510509.600044442.6657-18002.1226222572211510519.800048812.2271-18994.344922465661151052110.000052200.5521-19888.466822686991167153110.200055598.2206-19888.466822915991167154110.400056624.661021667.144122931222221755110.600051191.118440225.811622681557789756110.800043386.002550337.8220222255510098957111.000033378.446651663.5991116709911137358111.200023345.775151663.5991111242211137359111.400014427.221845992.6773971999962960111.60007704.881436112.0224971996663261111.80002204.001725003.9885971993324762112.000092.888314884.4991971991151063112.20002228.88546779.8449971991151064112.40002255.3359-1776.6223971991151065112.60002220.0035-3001.1226971991151066112.80001159.8811-3004.9444971991151067113.000098.8822-3004.9444971991151068113.200049.6661-2445.8006971991151069113.400016.3325-1666.6779971991151070113.60002.4453-993.8992971991151071113.800010.3359-339.5330971991151072114.000011.5505110.9118971991151073114.20009.3322115.8442971991151074114.40006.1153115.8442971991151075114.60003.2299114.2771971991151076114.80001.2271110.1441971991151077115.00000.00985.8664971991151078115.20000.44162.5669971991151079115.40000.55200.5222971991151080115.60000.4426--0.7559971991151081115.80000.2274--0.7559971991151082116.00000.1139--0.6776971991151083116.20000.0047--0.4660971991151084116.40000.0002--0.2448971991151085116.60000.0021--0.0994971991151086116.80000.00230.0229971991151087117.00000.00170.0335971991151088117.20000.00100.0335971991151089117.40000.00040.0228971991151090117.60000.00000.0118971991151091117.80000.00020.0112971991151092118.00000.00040.01109719911510二、【组合2】(一)岩土压力计计算(1)合合力无外倾结构面时时按《边坡坡规范》公公式(6.2..3)计算算主动岩石石压力: Ea=389..281((kN)Ex=3383.3367(kkN)EEy=677.5988(kN))作用点点高度ZZy=3..333((m)修正后岩石压力力: Ea=603..385((kN)Ex=5594.2218(kkN)EEy=1004.7777(kNN)作用用点高度Zy=33.3333(m)(2)分分布岩土压力分布见见左侧结果果图。(二)立柱内力计计算(1)当当前计算工工况的开挖挖深度:110.0000第1嵌嵌固段地层层计算方法法:m法背侧———为挡土土侧;面侧侧——为非挡挡土侧。背侧最最大弯矩((标准值)=56624.6621(kkN-m))距离桩桩顶100.4000(m)面侧最最大弯矩((标准值)=2555.3559(kNN-m)距离桩顶顶12..400((m)最大大剪力(标准值)=51163.5591(kkN)距离桩桩顶111.0000(m)最大大位移=--20(mmm)距离桩桩顶0..000((m)注意::锚杆设计计时,当锚锚杆(索)受压,即即水平拉力力为负情况况,水平拉拉力取为00。第1道道锚杆(索)水平拉力力=2234.4466(kkN)距离桩顶顶2.0000(m))第2道道锚杆(索)水平拉力力=1153.9938(kkN)距离桩顶顶4.5000(m))点号距距顶距离弯矩矩(标准值)剪力力(标准值)位移土反反力((m)((kN-mm)((kN)(mmm)((kN)110..000-00.0000-0..000-19..940..000220..20000.0633-0..951-19..510..000330..40000.5077-3..803-19..070..000440..60011.7111-8..557-18..640..000550..80044.0577-15..212-18..210..000661..00077.9233-23..769-17..780..000771..200133.6911-34..227-17..350..000881..400211.7400-46..587-16..920..000991..600322.4522-60..849-16..490..0001001..800466.2066-77..011-16..060..0001112..000633.3822139..390-15..630..0001222..200377.4700119..426-15..200..0001332..400155.740097..559-14..770..0001442..600-11.427773..791-14..340..0001552..800-133.649948..120-13..910..0001663..000-200.547720..549-13..480..0001773..200-211.7411-8..927-13..050..0001883..400-166.8500-40..302-12..620..0001993..600-55.4944-73..578-12..190..0002003..800122.7077--108..756-11..770..0002114..000388.1344--145..836-11..340..0002224..200711.1677--184..816-10..910..0002334..4001122.1877--225..699-10..480..0002444..5001355.8099--246..849-10..260..0002554..6001466.1799--114..544-10..050..0002664..8001733.5244--159..230-9..620..0002775..0002099.9977--205..817-9..190..0002885..2002555.9777--254..305-8..770..0002995..4003111.8444--304..695-8..340..0003005..6003777.9800--356..986-7..920..0003115..8004544.7644--411..179-7..500..0003226..0005422.5777--467..273-7..080..0003336..2006411.7999--525..269-6..670..0003446..4007522.8100--585..166-6..260..0003556..6008755.9911--646..965-5..850..0003666..80010111.7222--710..665-5..450..0003777..00011600.3833--776..267-5..050..0003887..20013222.3544--843..770-4..660..0003997..40014988.0166--913..175-4..270..0004007..60016877.7499--984..481-3..900..0004117..80018911.9344-11057..689-3..530..0004228..00021100.9500-11132..798-3..170..0004338..20023455.1788-11209..809-2..830..0004448..40025944.9999-11288..721-2..490..0004558..60028600.7922-11369..535-2..170..0004668..80031422.9388-11452..250-1..870..0004779..00034411.8177-11536..867-1..580..0004889..20037577.8100-11623..385-1..310..0004999..40040911.2966-11711..805-1..070..0005009..60044422.6577-11802..126-0..840..0005119..80048122.2711-11894..349-0..640..00052210..00052000.5211-11988..468-0..46-0..00053310..20055988.2066-11988..468-0..31--18566.434454410..40056244.610022167..141-0..19--22999.175555510..60051911.184444025..816-0..10--18588.675556610..80043866.025555037..820-0..04--10122.004457711..00033788.466655163..591-0..00--125..77058811..20023455.751155163..5910..02570..91759911..40014277.218844592..6730..02980..65060011..6007044.814433612..0240..0211108..03961111..8002044.017722503..9850..0211019..49462212..000-922.883311484..4910..01804..64363312..200-2288.8544679..8490..01547..32764412..400-2555.3599--176..6230..00309..14565512..600-2200.0355--301..1260..00124..50366612..800-1599.8111--304..9440..003..81867713..000-988.8222--304..944-0..00-59..13868813..200-499.6611--245..806-0..00-79..12769913..400-166.3255--166..679-0..00-72..78770013..60022.4533-93..892-0..00-54..36271113..800100.3599-39..530-0..00-33..80272214..000111.505510..918-0..00-16..64673314..20099.322215..842-0..00-4..92574414..40066.153315..8420..001..57175514..60033.299914..2710..004..13076614..80011.271110..1410..004..27777715..00000.09885..8640..003..29478815..200-00.41662..5690..002..04779915..400-00.52000..5220..000..99280015..600-00.4266-0..7590..000..28981115..800-00.2744-0..759-0..00-0..08382216..000-00.1399-0..676-0..00-0..21683316..200-00.0477-0..460-0..00-0..21384416..40000.0022-0..248-0..00-0..15385516..60000.0211-0..094-0..00-0..08786616..80000.02330..029-0..00-0..03687717..00000.01770..035-0..00-0..00688817..20000.01000..0350..000..00789917..40000.00440..0280..000..00990017..60000.00000..0180..000..00691117..800-00.00220..0120..000..00292218..000-00.00440..0100..000..000(三)立柱配筋计计算注:1下下面列出的的弯矩和剪剪力均为设设计值。22配筋计计算采用内内力设计值值,裂缝计计算采用内内力标准值值。点点号距顶距距离弯矩剪力力全部纵筋筋箍筋筋(m)(kNN.m)((kN)(mm22)(mmm2/m)10.00000.00000.0000971991151020.20000.0063--0.9551971991151030.40000.5507--3.8003971991151040.60001.7711--8.5557971991151050.80004.0057-115.2112971991151061.00007.9923-223.7669971991151071.200013.6691-334.2227971991151081.400021.7740-446.5887971991151091.600032.4452-660.84499719911510101.800046.2206-777.01119719911510112.000063.33821339.39909719911510122.200037.44701119.42269719911510132.400015.7740997.55599719911510142.60001.4427773.79919719911510152.800013.6649448.12209719911510163.000020.5547220.54499719911510173.200021.7741--8.92279719911510183.400016.8850-440.30029719911510193.60005.4494-773.57789719911510203.800012.7707-1008.75569719911510214.000038.1134-1445.83369719911510224.200071.1167-1884.81169719911510234.40001112.1187-2225.69999719911510244.50001135.8809-2446.84499719911510254.60001146.1179-1114.54449719911510264.80001173.5524-1559.23309719911510275.00002209.9997-2005.81179719911510285.20002255.9977-2554.30059719911510295.40003311.8844-3004.69959719911510305.60003377.9980-3556.98869719911510315.80004454.7764-4111.17799719911510326.00005542.5577-4667.27739719911510336.20006641.7799-5225.26699719911510346.40007752.8810-5885.16669719911510356.60008875.9991-6446.96659719911510366.800010011.7722-7110.66659719911510377.000011160.3383-7776.26679719911510387.200013322.3354-8443.77709719911510397.400014498.0016-9113.17759719911510407.600016687.7749-9884.48819719911510417.800018891.9934-10557.68899719911510428.000021110.9950-11332.7998110034411510438.200023345.1178-12009.8009111239911510448.400025594.9999-12888.7221112538811510458.600028860.7792-13669.5335113938811510468.800031142.9938-14552.2550115441111510479.000034441.8817-15336.8667117052211510489.200037757.8810-16223.3885118774411510499.400040091.2296-17111.8005220613311510509.600044442.6657-18002.1226222572211510519.800048812.2271-18994.344922465661151052110.000052200.5521-19888.466822686991167153110.200055598.2206-19888.466822915991167154110.400056624.661021667.144122931222221755110.600051191.118440225.811622681557789756110.800043386.002550337.8220222255510098957111.000033378.446651663.5991116709911137358111.200023345.775151663.5991111242211137359111.400014427.221845992.6773971999962960111.60007704.881436112.0224971996663261111.80002204.001725003.9885971993324762112.000092.888314884.4991971991151063112.20002228.88546779.8449971991151064112.40002255.3359-1776.6223971991151065112.60002220.0035-3001.1226971991151066112.80001159.8811-3004.9444971991151067113.000098.8822-3004.9444971991151068113.200049.6661-2445.8006971991151069113.400016.3325-1666.6779971991151070113.60002.4453-993.8992971991151071113.800010.3359-339.5330971991151072114.000011.5505110.9118971991151073114.20009.3322115.8442971991151074114.40006.1153115.8442971991151075114.60003.2299114.2771971991151076114.80001.2271110.1441971991151077115.00000.00985.8664971991151078115.20000.44162.5669971991151079115.40000.55200.5222971991151080115.60000.4426--0.7559971991151081115.80000.2274--0.7559971991151082116.00000.1139--0.6776971991151083116.20000.0047--0.4660971991151084116.40000.0002--0.2448971991151085116.60000.0021--0.0994971991151086116.80000.00230.0229971991151087117.00000.00170.0335971991151088117.20000.00100.0335971991151089117.40000.00040.0228971991151090117.60000.00000.0118971991151091117.80000.00020.0112971991151092118.00000.00040.01109719911510三、【立柱各点点配筋包络络结果】点点号距顶距距离全部纵筋筋箍筋(m))((mm2)(mm22/m)10.000971191510020.220971191510030.440971191510040.660971191510050.880971191510061.000971191510071.220971191510081.440971191510091.6609711915100101.8809711915100112.0009711915100122.2209711915100132.4409711915100142.6609711915100152.8809711915100163.0009711915100173.2209711915100183.4409711915100193.6609711915100203.8809711915100214.0009711915100224.2209711915100234.4409711915100244.5509711915100254.6609711915100264.8809711915100275.0009711915100285.2209711915100295.4409711915100305.6609711915100315.8809711915100326.0009711915100336.2209711915100346.4409711915100356.6609711915100366.8809711915100377.0009711915100387.2209711915100397.4409711915100407.6609711915100417.8809711915100428.00010033415100438.22011233915100448.44012533815100458.66013933815100468.88015444115100479.00017055215100489.22018777415100499.44020611315100509.66022577215100519.880246556151005210.000268669167115310.220291559167115410.440293112221775510.660268115789775610.88022255511098995711.00016700911137335811.22011244211137335911.44097119962996011.66097119663226111.88097119324776212.00097119151006312.22097119151006412.44097119151006512.66097119151006612.88097119151006713.00097119151006813.22097119151006913.44097119151007013.66097119151007113.88097119151007214.00097119151007314.22097119151007414.44097119151007514.66097119151007614.88097119151007715.00097119151007815.22097119151007915.44097119151008015.66097119151008115.88097119151008216.00097119151008316.22097119151008416.44097119151008516.66097119151008616.88097119151008717.00097119151008817.2209711915100

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