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[文章] 公路隧道视距曲线半径的探讨 [复制链接]

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韩熠1±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
王跟民2
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( 1.陕西交通技术咨询有限公司,陕西 西安 710068;±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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2.陕西省林业勘察设计院,陕西西安 710082;)±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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[摘  要]本文概略分析了影响隧道视距的因素,计算了隧道横净距,建立了隧道视距曲线半径的概念,提出了隧道线形设计和改善交通安全的建议。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
[关键词]隧道  横净距  视距半径  加宽±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
1、视距影响因素及隧道建筑限界±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
公路隧道几何设计、车辆几何尺寸、驾驶员、照明及自然环境、交通组成等因素,均影响隧道视距,几何设计主要包括隧道建筑限界、内轮廓、平纵线形、路拱等。为便于讨论,依据《公路工程技术标准》(JTG B01-2003)、《公路隧道设计规范》(JTG D70-2004)和《公路项目安全性评价指南》(JTG B05-2004)(分别简称《标准》、《规范》、《指南》),限定相关边界。高速公路和一级公路隧道建筑限界及横断面组成尺寸见表1,二级以下公路隧道建筑限界及横断面组成尺寸见表2±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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二级公路设计速度为8060公里/小时,隧道内人行道(兼检修道)最小宽度为1.0,净宽分别为1110,大于《标准》中最小规定值,本文采用《规范》规定值;四级公路,隧道建筑限界净宽为7.0,小于《标准》规定最小值,本文采用《标准》7.5的建筑限界。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
2、标准车型与视距±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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二、三、四级公路停车视距及货车停车视距(单位:米)
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《指南》修正了货车停车视距,纵坡大于2%,半径小于400路段,应核查修正。上坡路段可以减小货车停车视距,下坡路段必须增大货车停车视距。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
3、公路隧道横净距±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
当检修道(人行道,下同)高度大于0.1,或检修道高度影响视线时,横净距(m1)应计算到检修道边缘;当隧道内壁布设有关设施影响视线时,横净距(m2)应计算至建筑限界边缘处;当隧道内壁未布设隧道设施或不影响视线时,横净距(m3)可计算至隧道内轮廓处。无论车辆在那个车道行驶,均假定车辆行驶轨迹与车道中心线重合,并假定视高处建筑限界至内轮廓距离为0.25。依行驶方向为准,左转弯曲线隧道应计算左车道横净距,右转弯曲线应计算右车道横净距。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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公路隧道提供的最大横净距(单位:m)
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2.225 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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3.025 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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3.475 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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4.275 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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3.750 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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30±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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1.475 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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2.275 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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2.625 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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1.725 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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1.375 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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2.525 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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1.975 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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2.775 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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2.900 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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3.250 ±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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4、隧道视距平曲线半径±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
假定曲线隧道位于同一曲率半径的圆曲线上,曲率半径与视距、横净距的关系式为:±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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式中: —实际横净距,米;±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
      —计算车道中线处的曲线半径,米;±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
—(货车)停车视距,米。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
依据cosα=1-α2/2!+α4/4!-……+(-1)nα2n/(2n)!,由公式4-1推导简化公式得4-2,可直接计算平曲线半径。两公式计算很相近,后者比前者一般大0.30.5,误差可以忽略。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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隧道提供横净距越小,要求平曲线半径越大,比照路线规范,视距采用《标准》规定视距,可将检修道(m1)对应的曲率半径R1定义为隧道安全视距半径,将建筑限界(m2)对应曲率半径R2定义为隧道一般视距半径,将隧道内轮廓(m3)对应的曲率半径R3定义为隧道最小视距半径。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
高速公路、一级公路为分离式单向行驶,只需考虑制动停车视距。双向行驶的二、三、四级公路,隧道路段一般禁止超车,也只考虑停车视距。表6显示货车视距半径一般大于小客车视距半径,拟定隧道曲线半径时,应采用货车视距曲线半径,但应区分左、右转弯曲线。同时考虑《指南》视距要求,确定隧道线形时,应参照表7拟定平面参数。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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公路隧道视距平曲线半径计算值(单位:米)
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4002±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”

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5、隧道断面加宽±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
隧道平曲线半径小于最小视距半径R3时,应采取措施加大隧道横净距。若线形改善困难时,应加大隧道断面尺寸或调整断面布设。若按《规范》设置了超高值不大于4%的平曲线,右转弯隧道横净距均满足视距要求,左转弯隧道应加大左侧横净距,加宽参考值见表8所示。表中0.551.65分别为80100公里/小时的最大加宽值。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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6、纵坡路段视距平曲线半径±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
前面计算的平曲线视距半径,应为路线纵坡小于2%的视距平曲线半径。当行驶方向为上坡时,有助于车辆制动,当行驶方向为下坡时,加大了制动距离。《标准》修正了3%、4%、5%、6%的下坡路段货车停车视距,《指南》修正了2%、4%、6%的上、下坡货车停车视距。暂且只讨论高速公路和一级公路,且线性增加不同坡度修正值,不考虑路线上坡影响。下坡路段货车停车视距修正值见表9所示。依据《标准》和《指南》修正视距计算出的视距半径见表10和表11所示。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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7、竖曲线视距半径±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
视距为竖曲线上的一段圆弧,视点(眼睛)与障碍物顶部的直线距离,可简称为视线距离,因竖曲线半径一般很大,往往是平曲线的很多倍,可以认为视距与视线距离相等。凸型竖曲线可能成为视线障碍,凹型竖曲线可能成为车灯的障碍,设置照明的隧道可不考虑凹型竖曲线的影响。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
设眼睛视点高度为a,障碍物高度为b,经求证竖曲线的视距半径计算公式为6-1。《规范》货车竖曲线视距半径小于小客车半径,小客车视距半径多数大于路线极限最小竖曲线半径,小于路线一般最小半径;但《指南》小客车视距半径小于货车视距半径,货车视距半径大于路线一般最小半径。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
R
=(S / (a0.5+b0.5))2/ 2----------------6-1±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
为了便于运用,对于标准车型小客车、货车可分别简化为6-26-3近视计算公式:±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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8、结语±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
综上所述,隧道横净距越小,要求最小平曲线半径越大;单向双车道隧道,左车道横净距小于右车道横净距;依据车辆行驶方向,左转弯隧道的横净距小于右转弯隧道;无论左转或是右转,视距曲线半径均由货车控制。现行规范规定隧道左侧路缘带宽度小于右侧路缘带宽度,适应了驾驶行为,但不利于保证曲线隧道路段的视距要求,应给与关注。隧道曲线半径应尽可能大于R2。当隧道曲线半径大于安全视距半径R1时,可不考虑其它因素对视距的影响;当曲线半径小于安全视距半径R1时,应检查纵坡对视距的影响,并控制检修道高度;当小于R2时,应同时检查隧道内部设施对视距的影响;当小于R3时,应优先考虑加大平曲线半径,或加宽隧道左侧横净距。《指南》加大了视距要求,依据隧道路段驾驶习惯,山区高速公路的中、短隧道可不考虑《指南》提高要求,特长、长隧道曲线半径,宜采用《指南》对应的视距曲线半径。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
限于水平,平面线形、平纵组合等因素未讨论,且文中难免有不妥之处,敬请批评指正。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
参考文献±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
[1]中华人民共和国交通部.公路工程技术标准(JTGB01—2003.北京.人民交通出版社.2004.±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
[2]中华人民共和国交通部.公路隧道设计规范(JTGD70—2004.北京.人民交通出版社.2004.±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
[3]中华人民共和国交通部.公路项目安全性评价指南(JTG/TB05—2004.北京.人民交通出版社.2005.±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
[4]中华人民共和国交通部.公路路线设计规范(JTG D20—2006.北京.人民交通出版社.2007.±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
[5]中华人民共和国交通部.公路路线设计规范(JTJ 011—94.北京.人民交通出版社.1995.±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
作者简介±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
1、±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
熠:工作单位:陕西交通技术咨询有限公司,同济大学道路工程专业,本科,高级工程师,总经理。联系方式:西安市含光北路110号,陕西交通技术咨询有限公司,电话:(029)88423020±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
2、±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
王跟民:陕西省林业勘察设计院公路分院,工程师。±£Î 3­Óbbs.3c3t.comºÆÎ¦‚¤T¥”
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