南京市某单位办公楼设计【毕业设计论文计算说明书CAD图纸平面】
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毕业设计论文计算说明书CAD图纸平面
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南京市某单位办公楼设计南京市某单位办公楼设计摘摘 要要本工程为南京某办公楼建筑结构设计,建筑设计为5层,建筑面积一共为41OO平方米,楼房标高为18.5米。一层主要设计为大厅,传达室和会议室,二至五层为标准办公用房。建筑采用比较规则的柱网设计,为办公空间的灵活组合划分提供条件,亦对工程造价提供了较为经济的的方案。本工程结构设计采用多层钢筋混凝土框架结构,基本步骤为:结构计算简图的确定;荷载计算;内力分析;内力组合;梁、柱截面配筋、板的设计、基础的设计以及结构施工图的绘制等。其中,内力计算只考虑恒荷载和活荷载;柱、板的设计采用弹性理论;梁的设计采用塑性理论;基础选用柱下独立基础。在进行截面设计时,遵循了强剪弱弯,强柱弱梁,强节点弱构件的设计原则,且满足构造要求,除对本框架进行手算外,还利用了PKPM 对本结构进行了电算。本设计从建筑到结构是一个较为完整的设计过程,通过毕业设计复习和巩固了以前所学知识,把主要课程联系成一个完整的体系,并运用于设计中;本次毕业设计培养了我进行独立设计的基本能力,为毕业后的工作打下了坚实的基础。关键词:关键词:框架结构;混凝土;建筑设计;结构设计Design of Nanjing office building structure AbstractThe graduation design topic for all into the company office building design, nanjing city.architectural design for 5 layer, building a total area of 41OO square meters, the building elevation for 18.5 meters. The main design for the hall, reception room and conference room, two to five layers of standard office space. Building the regular column design, provide the conditions for the flexible combinations of division of office space, the cost of the project provides a more economical option. The design of engineering structures using multilayer reinforced concrete frame structure, the basic steps: Determination of structure calculation diagram; load calculation; internal force analysis; internal force combination; design of beam and column section reinforcement, board, based on the design and the structure construction drawing drawing. Among them, the internal force calculation only consider the constant load and live load; column, plate design using elastic theory; beam design using plastic theory; based on the selection of the column under the independent foundation. In section design, follow the strong shear weak flexure, strong column and weak beam, strong joint and weak member of the design principles and structures to meet the requirements, in addition to the hand of the framework, use the PKPM to the structure was carried out through the computer. This design from construction to structure is a more complete design process, through the graduation design review and consolidate the previous knowledge to link the main course into a complete system, and applied to the design; this graduation design I trained for independent design of the basic ability, lay a solid foundation for the job after graduation.Key words: frame structure; concrete; architectural design; structural design目目 录录1 建筑设计资料 .11.1设计依据.11.2设计构思.11.3工程概况.31.4设计构思.42 结构设计 .42.1结构平面布置.42.1.1结构方案的确定 .42.1.2基础类型的确定 .42.2结构构件截面尺寸确定.42.3 框架计算简图 .62.4 荷载计算 .82.4.1 屋面恒载 .82.4.2 楼面恒载 .82.4.3 活荷载标准值 .92.4.4 楼面活载 .92.4.5 梁柱自重 .92.4.6 墙体自重 .112.5 水平地震荷载及变形验算 .132.5.1 横梁线刚度 .132.5.2横向框架柱的侧移刚度D值 .142.5.3 横向框架自振周期 .152.5.4横向地震作用计算 .162.5.5 横向框架抗震变形验算 .172.6 水平地震作用下横向框架的内力分析 .182.7 风荷载 .212.7.1基本信息 .212.7.2 横向框架在风荷载作用下的位移计算 .232.7.3 风荷载作用下横向框架的内力分析 .232.8竖向荷载作用下横向框架的内力分析.262.8.1 等效荷载计算 .272.8.2 横向框架在恒荷载作用下的内力计算 .322.8.3 横向框架在活荷载作用下的内力计算 .413 内力组合 .503.1 横向框架梁内力组合 .503.2 框架梁弯矩调幅 .503.3 框架梁内力组合 .613.4 框架柱内力组合 .654 梁柱截面设计及配筋计算 .724.1设计信息.724.2正截面承载力计算.724.3 梁斜截面承载力计算 .764.4 柱的配筋计算 .794.5 框架柱正截面承载力计算 .804.6 柱斜截面受剪计算 .855 板的设计 .865.1板区划分 .865.2 板配筋计算 .876楼梯设计 .906.1楼梯设计资料 .906.2楼梯梯段斜板设计 .916.3平台板设计 .926.4平台梁设计 .947基础设计.96参考文献 .101致谢 .10211建筑设计说明建筑设计说明1.1设计依据设计依据1、毕业设计任务书、毕业设计任务书2、主要设计规范:、主要设计规范:(1)GB500072010建筑地基基础设计规范(2)GB500092012建筑结构荷载规范(3)GB500102010混凝土结构设计规范(4)GB500112010建筑抗震设计规范(5)JGJ 672006、5562006,办公建筑设计规范1.2设计构思设计构思1、总平面布局、总平面布局该建筑的设计以人为本,充分体现人文主义为基本出发点,根据该建筑用地周边的环境和交通状态,同时考虑建筑的方位布置,把主入口设为办公楼的南面。通过综合考虑场地的应用,把停车场设在建筑的北面,建筑东面设置一些绿化带。2、平面布局、平面布局一层主要设计为大厅,接待室、展览室和设备用房,二至五层为办公用房和会议室。建筑采用比较规则的柱网设计,为办公空间的灵活组合流畅的交通流线划分提供条件,亦对工程造价提供了较为经济的的方案。3、造型设计、造型设计从建筑的实用性、独特性、经济性和舒适性出发,在本项目的立面造型设计中,经过收集大量的资料,仔细的考察、研究,决定采用与建筑内部功能协调的方法来完成,采用简洁明快清晰的风格,给人耳目一新的感觉,使整栋建筑形成一种良性的协调关系。1.3工程概况工程概况办公楼为五层钢筋混凝土框架结构体系,建筑面积约4100m2。办公楼各层建筑平面图、剖面图、门窗表参见建筑设计图纸。底层建筑层高为4.1m,其余各层建筑层高为3.6m。底层结构层高为5.0m(从基础顶面算起,包括地下部分0.9m),室内外高1差0.30m,建筑设计使用年限50年。建筑总面积允许有10%增减,这样既可满足使用功能,又能达到综合经济的目的。1.4设计资料设计资料1.4.1工程地质条件工程地质条件地基承载力为200kpa,采用浅基础。1.4.2气象资料气象资料(气温:年平均气温22C;最高气温35C,最低气温8C。雨量:年降雨量1967mm,最大雨量208mm/d。基本风压:W0=0.75 kN/m2,地面粗糙程度为D类。基本雪压:0 kN/m2。1.4.3抗震设防烈度抗震设防烈度为7度,设计基本地震加速度值为0.10g,建筑场地土类别为二类,场地特征周期为0.35s,框架抗震等级为三级,设计地震分组为第一组。1.4.4材料材料梁、板、柱的混凝土均选用C30,梁、柱主筋选用钢筋HRB400,箍筋选用HRB335,板受力钢筋选用HRB335。1.4.5建筑装修标准建筑装修标准()屋面:40厚C30细石砼 10厚纸筋灰 1.2厚三元乙丙橡胶卷材 20厚1:2.5水泥砂浆找平层(刷基层处理剂一遍) 钢筋砼屋面(3%坡度)(2)顶棚: 1:1:6水泥石灰砂浆打底15厚。 面刮腻子5厚。2 喷涂内墙乳胶漆涂料。(3)楼地面:一般做法: 10厚大理石板面层。 25厚1:4干硬性水泥砂浆,面上洒素水泥浆结合层一道。 砼底板或素土夯实。防水做法:(卫生间、厨房等处适用) 5厚防滑地砖200 200。 20厚1:3水泥砂浆。 聚氨酯防水涂膜1.2厚。 1:3水泥砂浆找平兼找0.5%坡,最薄处不小于20厚。 砼底板或素土夯实。(4)外墙面:200厚混凝土空心砌块容重6kN/m3。 20厚抹灰找平。 5厚水泥砂浆粘贴层。8厚陶瓷面砖(5)内墙面: 一般做法:200厚混凝土空心砌块容重6kN/m3。 20厚抹灰找平。 喷涂内墙乳胶漆涂料 防水做法:(卫生间、厨房等处适用) 1:2.5水泥砂浆打底20厚(掺5%防水剂) 纯水泥膏贴200X300瓷砖满贴至天花底(6)墙体:本工程框架填充墙为MU10混凝土空心砌块,内、外墙厚度均为240mm,电梯井砖墙采用红砖砌筑厚240mm。(7)门窗:标准塑钢门窗,6mm厚玻璃。42 结构设计结构设计2.1结构平面布置结构平面布置图2.1 标注层平面布置图2.1.1结构方案结构方案制定制定建筑平面布置灵活是现浇钢筋砼框架结构的特点,本结构采纳钢筋现浇砼框架结构。2.1.2基础类型基础类型制定制定此工程选用柱下独立基础,基础顶到室外设计地面高差为0.5m。2.2构件的截面尺寸构件的截面尺寸1、横向框架梁:、横向框架梁:C-D跨:l=7.2m,梁高h=(1/81/12)l=(1/81/12) 6900=900mm600mm,取h=600mm;梁宽b=(1/21/3)h=(1/21/3) 600=200mm300mm,取b=240mm6同上可求得B-C跨: h=400mm;b=240mmA-B跨: h=600mm;b=240mm5、框架柱截面尺寸确定、框架柱截面尺寸确定(1)框架柱选用C30混凝土,抗震设防烈度为7 214.3/cfN mm度,房屋高度30m,框架抗震等级为3 级,为保证柱有足够的延性,需要限制柱的轴压比=0.85,假定结构每平方米总荷载设计值为14kN。由轴压比初步估算框架柱截面尺寸时,按下式计算:0.85ccNf A轴向压力设计值N按下式估算:12GNqSn 1)3轴与D轴相交中柱:121.25 147.2 4.75 1.05 1.0 1.03109.05GNqSnkN 2cN cN3109.05 1000A255784f0.85 14.3ccb hmm因为,故取中柱截面尺寸为500mm500mm。2500 500250000ccb hmm2)3轴与A轴相交边柱:121.25 147.2 3.455 1.05 1.0 1.02282.175GNqSnkN 2cN cN2282.175 1000A157756f0.85 14.3ccb hmm考虑到边柱承受偏心荷载,故取边柱截面尺寸为400mm400mm。3)2轴与A轴相交的角柱:角柱虽然承受面荷载较小,但由于角柱承受双向偏心荷载作用,受力复杂,故取截面尺寸与A轴边柱相同,即400mm400mm。(2)校核框架柱截面尺寸是否满足构造要求。1)按构造要求框架柱截面高度不宜小于400mm,宽度不小于350mm。2)为避免剪切破坏,柱净高与截面长边之比宜大于4。取二层较短柱高,Hn=3900:39007.84500nHh3)框架柱截面高度和宽度一般可取层高的1/101/15。011114200420280(420010151015hHmmmm:取底层柱高为)故所选框架柱截面尺寸均满足构造要求。6 6、楼板厚度的确定、楼板厚度的确定根据平面布置,板的最大跨度为 3.9m按刚度条件,板厚为/ 404200/ 401050lmm6按构造要求,现浇钢筋混凝土最小厚度为60mm综合荷载等情况考虑,取板厚h=110mm(屋面板取120mm)。2.32.3 框架计算简图框架计算简图选择横向的一榀框架(3轴)按平面框架计算。底层柱高从基础顶面算至二层楼面,基础顶面离室外地面为500mm,室内外高差为450mm,因此求得底层计算高度为0.5+0.45+4.1=5.05m。结构计算简图如图2.2所示。7图2.2 横向框架简图10图2.3 楼板布置简图2.4 荷载荷载汇总汇总2.4.1 屋面恒屋面恒荷载荷载 按屋面做法逐项计算均布荷载: 20厚C20细石混凝土 20.02 21=0.42kN/m干铺聚酯纤维无纺布一层 1020厚挤塑聚苯板保温层 20.02 16=0.32kN/mSBS改性沥青防水卷材 20.21kN/m20厚1:3水泥砂浆找平 20.02 20=0.4kN/m120厚现浇钢筋砼楼板 20.12 25=3kN/m 10厚混合砂浆板底抹灰20.01 17=0.17kN/m吊顶 20.2kN/m屋面恒荷载 24.72kN/m屋面楼梯间自重标准值: 7.2 5.724.72387GKN屋面楼梯间屋面自重标准值: 16.3 52.24.8 7.3 24.724347GKN屋面2.4.2 楼面恒楼面恒荷载荷载按楼面做法逐项计算:10厚大理石板面层 20.01 28=0.28kN/m30厚1:3干硬性水泥砂浆 20.03 20=0.60kN/m110厚现浇钢筋混凝土楼板 20.11 25=2.75kN/m10厚混合砂浆板底抹灰 20.01 17=0.17kN/m吊顶 20.2kN/m楼面恒荷载 23.75kN/m35层楼面自重标准值 :1016.3 52.24.8 7.3 23.753454GKN:楼面352层楼面自重标准值 :16.3 52.24.8 7.3 2 16.2 5.43.753125GKN 楼面22.4.3 活荷载活荷载的标准值的标准值上人屋面活荷载 22.0/KN m办公楼一般房间活荷载 22/KN m走廊、门厅 22.5/KN m楼梯活荷载 23.5/KN m卫生间活荷载 22.5/KN m2.4.4 楼面活载楼面活载楼面均布活载对于办公楼一般房间为2.0kN/,会议室、走廊、楼梯、门厅等为。为了方便计算,统一取为。22.5/kN m22.5/kN m楼面均布活载标准值为:7.2 5.720.541QKN屋面楼梯间顶16.3 52.24.8 7.3 22.01965QKN屋面16.3 52.24.8 7.3 22.52302QKN:楼面3516.3 52.24.8 7.3 2 16.2 5.42.52084QKN楼面22.4.5 梁柱自重梁柱自重1:240600KLb hmmmm1125 0.240.60.13.438/KN m抹灰层:10厚混合砂浆 0.010.650.12 170.187/KN m 合计 3.625/KN m2:250400KLb hmmmm自重 25 0.250.40.11.875/KN m抹灰层:10厚混合砂浆 0.010.40.12 170.102/KN m 合计 1.977/KN m柱1:500500bhmmmm自重 25 0.5 0.56.25/KN m抹灰层:10厚混合砂浆 0.01 0.5 4 170.34/KN m 合计 6.59/KN m梁柱重力荷载如下:3.625 6.9 43.625 7.2 22.403 7.2 2187GKN 屋面楼梯间梁3.6256.9 167.3 27.2 221.9772.5 83.6 22.4036.9 124.8 87.2 44.284 9 41.6022.4 23.3 21614GKN 屋面层3.6256.9 167.3 27.2 211.9772.5 83.6 22.4036.9 124.8 87.2 44.284 9 41.6022.4 23.3 22.5 21622GKN :3 5层梁3.6256.9 147.3 27.2 211.9772.5 83.6 22.4036.9 114.8 87.2 44.284 9 41.6022.4 23.3 22.5 21555GKN 2层梁6.59 3.6 8=190GKN楼梯间柱6.59 3.9 38=977GKN:2 5层柱1216.59 5.15 38=1290GKN层柱2.4.6 墙体自重墙体自重首层外墙:240厚砼空心砌块 0.244.1 0.664.26/KN m20厚抹灰找平 0.024.1 0.62 172.41/KN m 5厚水泥砂浆粘贴层 0.0054.1 0.6200.36/KN m8厚陶瓷面砖 0.0084.20.6519.80.56/KN m合计 7.59/KN m首层内墙:240厚砼空心砌块 0.244.1 0.664.26/KN m20厚抹灰找平 0.024.1 0.62 172.41/KN m 合计 6.6/KN m二五层外墙:200厚砼空心砌块 0.23.60.663.9/KN m20厚抹灰找平 0.023.60.62 172.21/KN m 5厚水泥砂浆粘贴层 0.0053.60.6200.325/KN m8厚陶瓷面砖 0.0083.60.619.80.51/KN m合计 6.95/KN m13二五层内墙:240厚砼空心砌块 0.243.60.663.9/KN m20厚抹灰找平 0.023.60.62 172.21/KN m 合计 6.11/KN m女儿墙:200厚砼空心砌块 0.2 0.4 60.48/KN mC25砼压顶 0.2 0.8 254/KN m20厚抹灰找平 0.02 1.2 2 170.82/KN m 5厚水泥砂浆粘贴层 0.005 1.2 200.12/KN m8厚陶瓷面砖 0.008 1.2 19.80.19/KN m合计 5.6/KN m各层墙体自重: 6.957.25.72179GKN屋顶楼梯间5.661.8 16.32874.72GKN屋女儿墙7.5961.8 16.32+6.661.8 2+16.3 62647GKN一层墙6.9561.8 16.32+6.1161.8 2+16.3 62438GKN:二五层墙顶层重力荷载代表值包括:屋面恒载+50%活载+纵横梁自重+半层柱自重+半层墙体自重其它层重力荷载代表值:楼面恒载+50%楼面均布活载+纵横梁自重+楼面上下各半层的柱及墙体自重。将前述分项荷载相加,得集中于各层楼面的重力荷载代表值如下:14屋面层:38743470.541 1965187 1614 1900.5 977 179874.720.5 243810489GKN5第四层:434540.5 2302 162297724389642GKN第三层:334540.5 2302 162297724389642GKN第二层:234540.5 2302 162297724389642GKN第一层:131250.5 2084 15550.5977 12900.5243826479398GKN各层楼面的重力荷载设计值如下:屋面层:51.21.2 1048912586.8GGKN5第四层:441.21.2 964211570.4GGKN第三层:331.21.2 964211570.4GGKN第二层:221.21.2 964211570.4GGKN第一层:111.21.2 939811277.6GGKN建筑物总重力荷载代表值:为:51iiG51104899642 3939848813iiGKN 15图2.4 质点重力荷载值2.5 水平地震荷载及变形验算水平地震荷载及变形验算2.5.1 横梁线刚度横梁线刚度采用砼C30, 72 =3.0 10 kN/mcE 。本框架结构为现浇楼面,可以作为梁的有效翼缘,增大梁的有效刚度,减少框架侧移。为考虑这一有利作用,在计算梁的截面惯性矩时,对现浇楼面的边框架取01.5II();对中框架取0I 为梁的截面惯性矩0=2.0II横梁线刚度计算结果见表2.1。表表2.12.1 横梁线刚度横梁线刚度 梁号L截面bh()跨度(ml)惯性矩3012bhI (m4)边框架梁中框架梁1501.5bII(m4)cbbE IKl(kNm)02.0bII(m4)cbbE IKl(kNm)161KL0.240.43.013.310-32.010-32.41042.710-33.21042KL0.240.67.25.710-38.610-33.710411.410-316.51042.5.2横向框架柱的侧移刚度横向框架柱的侧移刚度D值值柱线刚度列于表2.2,横向框架柱侧移刚度D值计算列于表2.3。表表2.22.2 柱线刚度柱线刚度 惯性矩线刚度柱号Z截面()柱高度h(m)(m4)312cbhI (kNm)cccE IKh1Z0.50.55.1510.4210-36.071042Z0.50.53.610.4210-38.02104表表2.32.3 横向框架柱侧移刚度横向框架柱侧移刚度D D值计算值计算层数柱子类型()2()bcbcKKKKKK一般层底层20 5()2KK(一般层)+K.底层+K212(/)cDKkN mh根数边框架边柱2.40.406.070.375102994边框架中柱2.43.71.006.070.513732416.52.726.070.6821873012中框架边柱21.13.486.070.72619938216.53.23.256.070.7141960910中框架中柱21.1 3.24.006.070.75205982底层D598046续表2.317二三四五层边框架边柱3.7 20.462 8.020.188118964边框架中柱2.4 23.7 20.762 8.02 0.27517400416.5 22.062 8.020.5073208012中框架边柱21.1 22.632 8.020.5683594023.2 16.522.462 8.020.5523492710中框架中柱3.221.123.032 8.020.602380912D9994762.5.3 横向框架自振周期横向框架自振周期按顶点位移法计算框架的自振周期顶点位移法是求结构基本频率的一种近似方法。将结构按质量分布情况简化为无限质点的悬臂直杆,导出以直杆顶点位移表示的基频公式。这样,只要求出结构的顶点水平位移,就可以按下式求得结构的基本周期: 18101.7TT式中:0基本周期调整系数。考虑填充墙使框架自振周期减少的影响,框架结构取0.60.7,本工程取0.7。框架的顶点位移。T在未求出框架的周期前,无法求出框架的地震力及位移,是将框架的重力T荷载视为水平作用力,求得的假象框架顶点位移。然后由求出,再用求出框架T1T1T结构的底部剪力。进而求出框架各层剪力和结构真正的位移。横向框架顶点位移计算见表2.4。表表2.42.4 横向框架顶点位移横向框架顶点位移 层次(kN)iG(kN)iG(kN/m)iDiiiGD层间相对位移1iii 楼层位移510489104899994760.01010.18149642201319994760.02010.170939642297739994760.02980.150829642394159994760.03940.12119398488135980460.08160.0816则自振周期为: 101.71.7 0.70.1810.506Ts 2.5.4横向地震作用计算横向地震作用计算本工程的建筑的质量和刚度沿高度分布比较均匀、高度不超过40m,并以剪切变形为主(房屋高宽比小于4),故采用底部剪力法计算横向水平地震作用。(1)基本周期的地震影响系数。本工程所在场地为类场地,7度设防区,设计地震分组为第一组,结构的基本自振周期采用顶点位移法的计算结果,即。查建筑抗震设计规范(GB5 10.506Ts0011-2010)得到特征周期。因,则地震影响系数0.08s35. 0maxg,T10.5065ggTTsT为:180.912max10.351.0 0.080.0570.506ygTT (2)各层水平地震作用标准值、楼层地震剪力及楼层层间位移计算。19对于多质点体系,结构底部总横向总水平地震作用标准值为:10.057 488132783EKeqFGkN因,所以要考虑顶部附加水平地震作用的影响,顶部附10.5061.40.49gTsTs加地震作用系数为:10.080.010.08 0.5060.010.050nT顶部附加地震作用为:0.05 2783139.15nnEKFFkN各层横向地震剪力计算见表2.5。表表2.52.5 各层横向地震作用及楼层地震剪力各层横向地震作用及楼层地震剪力 层次ih(m)iH(m)iG(kN)iiG H(kN)51iijjjG HG Hn51=1iiiEKjjjG HFFG H(kN)iV(kN)53.618.5104892176470.3401037.361037.3643.614.996421624680.254670.491707.8533.611.396421248640.195515.302223.1523.67.79642872600.136360.112583.2614.14.19398484000.076199.742783注:表中第5层中加入了,其中 =139.15kN。iFnFnF横向框架各层水平地震作用和地震剪力见图2.5。 (a) (b) (a)水平地震作用 (b)地震剪力 图2.5横向框架各层水平地震作及地震剪力2.5.5 横向框架抗震变形验算横向框架抗震变形验算20多遇地震作用下,层间弹性位移验算见表2.6。表表2.62.6 横向变形验算横向变形验算层次iV层间剪力(kN)iD层间刚度(kN/m)iiV层间位移D(m)ih层高(m)层间相对弹性转角iieh51037.369994760.0010383.61/375841707.859994760.0017093.61/228232223.159994760.0022243.61/175322583.269994760.0025853.61/1509127835980460.0046534.11/1107注:层间弹性相对转角均满足要求=1/550。ee多遇地震作用下,刚重比和剪重比验算:表表2.72.7 各层刚重比和剪重比各层刚重比和剪重比由表2.7可见,各层的刚重比均大于20,不必考虑重力二阶效应;各层的剪重比均大于0.016,满足要求。2.6 水平地震作用下横向框架的内力分析水平地震作用下横向框架的内力分析横向框架在水平地震作用下的内力计算采用D值法。本设计取轴线上的横向框架为代表进行计算,柱端弯矩计算、地震作用下框架梁端弯矩,梁端剪力及柱轴力计算详见表2.8、2.9、2.10。楼层( )ih m(/)iD kN m()iiDh kN()iV kN1()njjG kN(重力荷载标准值,KN)1()njjGkN(重力荷载设计值,KN)1iinjjDhG(刚重比)1inijVG(剪重比)53.69994763897956.41037.361048912586.8309.690.09943.69994763897956.41707.852013111570.4336.890.08533.69994763897956.42223.152977311570.4336.890.07523.69994763897956.42583.263941511570.4336.890.06614.15980463079936.927834881311277.6273.100.05721表表2.82.8 轴线轴线横向框架横向框架A A柱端弯矩计算柱端弯矩计算A轴柱(边柱)层次层高hi(m)层间剪力Vi(kN)层间刚度Di(kN)Dim(kN)Vim(kN)Ky(m)M上(kNm)M下(kNm)53.61037.369994763208033.302.060.40377.5352.3443.61707.859994763208054.822.060.453116.9596.8533.62223.159994763208071.362.060.5139.15139.1523.62583.269994763208082.912.060.5161.67161.6714.127835980461873087.162.720.578189.42259.45注:表中; ;。012,3yyyy/VimViDim Di=iMVim y hi下=1iMVimyhi上表表2.92.9 轴线轴线横向框架横向框架B B柱端弯矩计算柱端弯矩计算B轴柱(中柱)层次层高hi(m)层间剪力Vi(kN)层间刚度Di(kN)Dim(kN)Vim(kN)Ky(m)M上(kNm)M下(kNm)53.61037.369994763492736.252.460.44678.3263.0543.61707.859994763492759.682.460.473122.66110.0933.62223.159994763492777.692.460.50151.50151.5023.62583.269994763492790.272.460.50176.03176.0314.127835980461960991.253.250.55211.47258.47注:表中; ;。012,3yyyy/VimViDim Di=iMVim y hi下=1iMVimyhi上表表2.102.10 地震力作用下框架梁端弯矩、梁端剪力及柱轴力地震力作用下框架梁端弯矩、梁端剪力及柱轴力 AB跨BC跨柱轴力层次L(m)M左(KNm)M右(KNm)Vb(KN)L(m)M左(KNm)M右(KNm)Vb(KN)NA(KN)ND(KN)NE(KN)NH(KN)57.277.5365.6320.732.512.6912.6910.15-20.7310.58-10.5820.7347.2169.29155.6247.092.530.0930.0924.07-47.0923.02-23.0247.0937.2236219.2165.972.542.3842.3833.90-65.9732.07-32.0765.9727.2300.82274.4783.382.553.0653.0642.45-83.3840.93-40.9383.382217.2351.09324.7397.942.562.7862.7850.22-97.9447.72-47.7297.94图2.5地震作用下框架梁柱弯矩图(单位:kNm)图2.6 地震作用下框架梁端剪力及柱轴力(KN)2.7 风荷载风荷载2.7.1基本信息基本信息23已知基本风压W0=0.75KN/m2,本工程为市区,地面粗糙度属C类,结构总高度为18.5m。按荷载规范。0kzsz 1.垂直于建筑物表面上的风荷载标准值计算垂直于建筑物表面上的风荷载标准值计算(1)s为风荷载体型系数,本设计按建筑结构荷载规范(GB50009-2012)中表8.3.1规定,迎风面取0.8背风面取0.5,合计为。1.3s(2)为风压高度变化系数,本工程的地面粗糙度类别为C类,按建筑结构荷z载规范(GB50009-2012)中的表8.2.1取。 0.74z(3)为风振系数,建筑结构荷载规范(GB50009-z2012)的第8.4.1条规定:对于基本自振周期大于0.25s的工程结构,以及高度大于301Tm且高宽比大于1.5的高柔房屋,均应考虑风压脉动对结构发生顺风向风振的影响。高层建筑砼结构技术规程(JGJ-2002)给出了结构的基本周期近似计算公式,对于框架结构可取,n为10.080.1Tn:结构层数。本工程,故应考虑风振系数,按式下式计算,10.08 50.40.25TSsz即:1zzz 2.各层楼面处集中风荷载标准值计算各层楼面处集中风荷载标准值计算(1)框架风荷载负荷宽度。轴线框架的负荷宽度。7.27.87.2m2B(2)计算风振系数。z由,查表,可知脉动增大系数;由220 10.5 0.62 0.40.050T=1.18,查表可知脉动影响系数。/21.45/16.31.32H B 30Hm=0.43表表2.112.11 风振系数风振系数zz计算过程计算过程层号离地面高度(m)相对高度z/HZZ1zzz 518.50.91.180.430.860.741.59414.90.81.180.430.740.741.51311.30.61.180.430.450.741.312327.70.41.180.430.270.741.1914.10.21.180.430.080.741.05(3)各层楼面处集中风荷载标准值计算,风荷载标准值见表2.12.24表表2.122.12 风荷载计算风荷载计算层数离地面高度(m)ZZs20/kN m( )hm下( )hm上0/2iZszFB hhkN 下上518.50.741.591.30.53.91.239.2703.9/2 1.2ZszB 414.90.741.511.30.53.93.946.17311.30.741.311.30.53.93.940.0627.70.741.191.30.53.93.936.3914.10.741.051.30.54.653.935.19 图2.7 横向框架上的风荷载(kN)2.7.2 横向框架在风荷载作用下的位移计算横向框架在风荷载作用下的位移计算1.框架梁柱线刚度,详见地震分析中的表2.3、2.4.、2.52.风荷载作用下框架侧移计算见表2.13表表2.132.13框架在风荷载作用下侧移的计算框架在风荷载作用下侧移的计算层次()jF kN()jV kN(/)D kN mmijjjDVu/h(m)/juh539.2739.271340140.000293.61/1330925446.1785.441340140.000643.61/6117340.06125.51340140.000943.61/4165236.39161.891340140.001213.61/3228135.19197.08766780.002574.11/18090.00565juum侧移验算:由表2.13可知,本框架的层间最大位移和层高之比在第一层,其值为1/1809 1/550 要求,框架抗侧刚度足够。2.7.3 风荷载作用下横向框架的内力分析风荷载作用下横向框架的内力分析本设计取轴线上的横向框架为代表进行计算,柱端弯矩计算、风荷载作用下框架梁端弯矩,梁端剪力及柱轴力计算详见表2.14、2.15、2.16。结果见图2.8、图2.9、图2.10。表表2.142.14 轴线轴线横向框架横向框架A A柱端弯矩计算柱端弯矩计算A轴柱(边柱)层次层高hi(m)层间剪力Vi(kN)层间刚度Di(kN)Dim(kN)Vim(kN)Ky(m)M上(kNm)M下(kNm)53.639.27134014320809.402.060.40321.8914.7743.685.441340143208020.452.060.45343.6336.1333.6125.51340143208030.042.060.558.5858.5823.6161.891340143208038.752.060.575.5775.5714.1197.08766781873048.142.720.57894.47129.39注:表中; ;。012,3yyyy/VimViDim Di=iMVim y hi下=1iMVimyhi上表表2.152.15 轴线轴线横向框架横向框架B B柱端弯矩计算柱端弯矩计算B轴柱(中柱)层次层高hi(m)层间剪力Vi(kN)层间刚度Di(kN)Dim(kN)Vim(kN)Ky(m)M上(kNm)M下(kNm)53.639.271340143492710.232.460.44622.1117.8043.685.441340143492722.272.460.47345.7741.0833.6125.51340143492732.712.460.5063.7863.782623.6161.891340143492742.192.460.5082.2782.2714.1197.08766781960950.403.250.55105.46128.90注:表中; ;。012,3yyyy/VimViDim Di=iMVim y hi下=1iMVimyhi上表表2.162.16 风荷载作用下框架梁端弯矩、梁端剪力及柱轴力风荷载作用下框架梁端弯矩、梁端剪力及柱轴力 AB跨BC跨柱轴力层次L(m)M左(KNm)M右(KNm)Vb(KN)L(m)M左(KNm)M右(KNm)Vb(KN)NA(KN)ND(KN)NE(KN)NH(KN)56.921.8918.535.862.53.583.582.86-5.86-335.8646.958.4053.2716.182.510.3010.308.24-16.18-7.947.9416.1836.994.7191.2226.952.517.6417.6414.11-26.95-12.8412.8426.9526.9134.15122.3937.182.523.6623.6618.93-37.18-18.2518.2537.1816.9170.04157.3247.442.530.4130.4124.33-47.44-23.1123.1147.44根据表2.14、2.15、2.16绘制轴线框架在风荷载作用下的弯矩图、剪力图、轴力图。27图2.9风荷载作用下的剪力图(kN)图2.10风荷载作用下的柱子轴力图(kN)2.8竖向荷载作用下横向框架的内力分析竖向荷载作用下横向框架的内力分析仍取轴线上的中框架计算分析,计算简图详见图2.1128图2.11 板传荷载示意图2.8.1 等效荷载计算等效荷载计算板传至梁上的三角形或梯形荷载可等效为均布荷载。(三角形荷载:等效分布;梯形荷载:等效分布58qq231 2qq1、AD轴间框架梁:轴间框架梁:屋面面荷载为4.72KN/m2,活载为2.0 KN/m2,楼面面荷载为3.75 KN/m2,活荷载为2.0 KN/m2。板A传递荷载,传递给AB段为梯形荷载,等效转化为均布荷载。屋面板传给梁的恒载(左右两块):2923231.81.82 12124.72 1.8 2=14.98KN/m6.96.9qq 屋面板传给梁的活载(左右两块):23231.81.82 12122 1.8 2=6.34KN/m6.96.9qq 楼面板传给梁的恒载(左右两块):23231.81.82 12123.75 1.8 2=11.9KN/m6.96.9qq 楼面板传给梁的活载(左右两块):23231.81.82 12122 1.8 2=6.34KN/m6.96.9qq 梁自重:3.625KN/mAB轴间KL2均布荷载为:屋面梁:恒载梁自重板传荷载3.625KN/m+14.98KN/m=18.61KN/m 活载板传荷载6.34KN/m楼面梁:恒载梁自重板传荷载3.625KN/m+11.9KN/m=15.53KN/m 活载板传荷载6.34KN/m2、BC轴间框架梁:轴间框架梁:屋面面荷载为4.72KN/m2,活载为2.0 kN/m2,楼面面荷载为3.75 KN/m2,活荷载为2.5 kN/m2。板B传递荷载,传递给BC段为三角形荷载,等效转化为均布荷载。屋面板传给梁的恒载(左右两块):5524.72 1.275 27.52/88qqkN m屋面板传给梁的活载(左右两块):5522 1.275 23.19/88qqkN m 楼面板传给梁的恒载(左右两块):5523.75 1.275 25.97/88qqkN m楼面板传给梁的活载(左右两块):305522.5 1.275 23.98/88qqkN m梁自重:1.977kN/mCD轴间KL2均布荷载为:屋面梁:恒载梁自重板传荷载1.977kN/m+7.52kN/m=9.5kN/m 活载板传荷载3.19kN/m楼面梁:恒载梁自重板传荷载1.977kN/m+5.97kN/m=7.95kN/m 活载板传荷载3.98kN/m3、A轴柱纵向集中荷载的计算轴柱纵向集中荷载的计算(1)顶层柱恒载= KL1梁传恒荷载+ KL2梁传恒荷载KL1梁传恒荷载=女儿墙自重+梁自重+板传荷载女儿墙自重: 5.6 kN/m板传荷载(三角形荷载):554.72 1.855.46/88qqkN m梁自重:3.625 kN/mKL1梁传恒荷载(5.6+5.46+3.625)(3.6-0.25)2=98.39kNKL2梁传恒荷载18.61kN/m(6.9-0.5)0.5=59.55kN=98.3959.55=157.94AGkN顶(2)顶层柱活载= KL1梁传活荷载+KL2梁传活荷载KL1梁传活荷载:552 1.853.60.25215.4888qqkN KL2梁传活荷载:6.34 KN/m (6.9-0.5)m0.5=40.58kN=15.4840.58=56.06APkN顶(3)标准层柱恒载= 标准层KL1梁传恒荷载+ 标准层KL2梁传恒荷载31KL1梁传恒荷载=外墙自重+梁自重+板传荷载在号轴标准层两侧外纵墙上各有一个27002100的铝合金窗,取门窗的面荷载均为0.45KN/m2。外墙自重: 6.95(3.90.65)7.20.53.252.7 2.1 20.45 2.7 2.1 227.42KN内墙自重:6.11 kN/m梁自重3.6257.20.5 =24.29kN板传荷载:553.75 1.854.34/88qqkN mKL1梁传恒荷载:27.42+24.29+4.34(7.2-0.5)=80.79kNKL2梁传恒荷载:(11.9+6.11)KN/m(6.9-0.5)m0.5=57.63kN标准层柱恒载:90.3657.63147.99AGkN(4)标准层柱活载= KL1梁传活荷载+KL2梁传活荷载KL1梁传活荷载:552 1.853.60.25215.4888qqkN KL2梁传活荷载:6.34KN/m(6.9-0.5)0.5=20.29kN标准层柱活载:=15.4820.29=35.77APkN4、B轴柱纵向集中荷载的计算轴柱纵向集中荷载的计算(1)顶层柱恒载= KL2梁传恒荷载 +KL3梁传恒荷载KL2梁传恒荷载=梁自重+板传恒载梁自重:3.625/6.90.512.51kN mmkN1.977/6.90.52.47kN mmkN32板传荷载:14.98/6.90.551.68kN mmkN7.52/2.50.59.4kN mmkNKL3梁传恒荷载=梁自重+板传恒载梁自重: 3.625/3.6226.1kN mmkN板传荷载: 23251.251.254.72/1.85 3.6 21 24.72 1.25 3.6 24887.27.2kN mKN 12.512.4751.689.426.148150.16DGKN顶(2)顶层柱活载=KL2梁传活荷载+KL3梁传活荷载KL2梁传活荷载=6.34KN/m 6.9m 0.5 23.19KN/m 2.5m 0.525.86KN KL3梁传活荷载:232251.251.252.0/1.85m 3.621 22.0/1.253.6287.27.233.47kN mmkN mmmkN 25.8633.4759.33DPKN顶(3)标准层柱恒载= KL2梁传恒荷载 +KL3梁传恒荷载KL2梁传恒荷载=梁自重+板传恒载+内墙自重梁自重:3.625 KN/m6.9m0.5=12.51KN1.977KN/m2.5m0.5=2.47 KN板传荷载:11.9 KN/m6.9m0.5=41.06KN5.97 KN/m2.5m0.5=7.47KN墙自重:6.11 KN/m6.9m0.5= 21.08KNKL3梁传恒荷载=梁自重+板传恒载+内墙自重梁自重:3.625 KN/m3.6m2=26.1KN33板传荷载:23251.251.253.75/1.85 3.6 21 23.75 1.25 3.6 263.1187.27.2kN mkN 内墙自重:在轴标准层两侧内纵墙上各有一个15002100的门洞,取门窗的面荷载均为0.45KN/m2。内墙自重:6.11 (3.90.65)7.20.53.25 1.5 2.1 20.45 1.5 2.1 231.93kN12.512.4741.067.4721.0826.1 63.11 31.93205.73DGkN(4)标准层柱活载=KL2梁传活荷载+KL3梁传活荷载KL2梁传活荷载: 6.34/m 6.93.98/m2.50.526.85KNmKNmkNKL3梁传活荷载:232251.251.252.0/1.85m 3.621 22.5/1.253.6287.27.237.91kN mmkN mmmkN 26.8537.9164.74EPKN顶为了方便内力计算,绘出框架在竖向荷载作用下的受力简图,详见图2.12。图2.12 竖向恒载作用下的计算简图34图2.13 竖向活荷载作用下的计算简图2.8.2 横向框架在恒荷载作用下的内力计算横向框架在恒荷载作用下的内力计算根据“图2.13竖向恒载作用下的计算简图”,用弯矩二次分配法计算轴线框架在恒荷载作用下的弯矩。1、固端弯矩计算:、固端弯矩计算: 将框架视为两端固定梁,计算固端弯矩,恒荷载作用下框架可按下面公式求得:21/12adMql 21/12daMql顶层:25118.61 6.973.8412ADMKN m 25118.61 6.973.8412DAMKN m2519.5 2.54.9512DEMKN m 2519.5 2.54.9512EDMKN m25118.61 6.973.8412EHMKN m 25118.61 6.973.8412HEMKN m35标准层:2115.53 6.961.6212ADMKN m 2115.53 6.961.6212DAMKN m217.95 2.54.1412DEMKN m 217.95 2.54.1412EDMKN m2115.53 6.961.6212EHMKN m 2115.53 6.961.6212HEMKN m2、线刚度及相对线刚度计算、线刚度及相对线刚度计算各梁柱构件的线刚度比经过计算后列于图中,其中在求梁截面惯性矩时考虑到现浇楼板的作用,取,为不考虑楼板翼缘作用的梁截面惯性矩。梁柱均采用C3002II0I砼723.00 10 k/CEN mAB跨梁240x600mm 433AE120.25/6.916.58 100.65i12cccEImEElBC跨梁240x400mm343EF120.25/2.510.67()0.410i12cccEImEElCD跨梁240x600mm343FJ120.25/6.916.58()0.6510i12cccEImEEl上部各层柱500500bhmmmm34310.5/3.913.35()0.510i12cccEImEEl:柱25底层柱500500bhmmmm34310.5/5.1510.11()0.510i12cccEImEEl柱1令上侧柱线刚度为1,则其余各杆件的相对线刚度为:36AE、FJ跨梁相对线刚度:16.581.2413.35AEFJi、EF跨梁相对线刚度:10.670.813.35EFi第一层柱相对线刚度:110.110.7613.35i柱梁柱相对线刚度详见图2.14。图2.14 相对线刚度简图3、分配系数计算、分配系数计算根据梁,柱相对线刚度,算出各节点的弯矩分配系数: ij/()ijcbiii A柱:底层:0.76/(0.76 1.24 1.0)0.253下柱1/(0.76 1 1.24)0.333 上柱1.24/(0.76 1.24 1.0)0.413右梁37标准层:1/(1 1.24 1.0)0.309下柱1/(1 1.24 1.0)0.309上柱1.24/(1 1.24 1.0)0.383右梁顶层:1/(1.24 1.0)0.446下柱1.24/(1.24 1.0)0.554右梁D柱:底层:0.76/(0.76 1.24 1.00.8)0.2下柱1.0/(0.76 1.24 1.00.8)0.263上柱1.24/(0.76 1.24 1.00.8)0.326左梁0.8/(0.76 1.24 1.00.8)0.211右梁标准层:1.0/(1.0 1.0 1.24+0.8)0.248下柱1.0/(1.0 1.0 1.24+0.8)0.248上柱1.24/(1.0 1.0 1.24+0.8)0.307左梁0.8/(1.0 1.0 1.24+0.8)0.198右梁顶层:1.0/(1.24 1.0+0.8)0.329下柱1.24/(1.24 1.0+0.8)0.408左梁0.8/(1.24 1.0+0.8)0.263右梁3、弯矩分配及传递、弯矩分配及传递弯矩二次分配法比分层法作了更进一步的简化。在分层法中,用弯矩分配法计算分层单元的杆端弯矩时,任一节点的不平衡弯矩都将影响到节点所在单元中的所有杆件。而弯矩二次分配法假定任一节点的不平衡弯矩只影响至与该节点相交的各杆件的远端。因此可将弯矩分配法的循环次数简化到一次分配、一次传递、再一次分配。所以本框架设计采用弯矩分配法计算框架内力,远端均为固端,传递系数为1/2。38各节点分配两次即可。如图2.15所示。图2.15恒载作用下的框架弯矩内力二次分配4、计算跨中弯矩、计算跨中弯矩22551118.61/6.9(43.77.57.05. )60.34.82A DMKN mmKN mKN mKN m中225 5119.5/2.5(19.9.19.92. )11.68.82D EMKN mmKN mKN mKN m 中22441115.53/6.9(53.42.56.07. )37.68.82A DMKN mmKN mKN mKN m中2244117.95/2.5(9.64.9.64. )3.43.82D EMKN mmKN mKN mKN m 中22331115.53/6.9(50.76.54.78. )39.65.82A DMKN mmKN mKN mKN m中223 3117.95/2.5(10.47.10.47. )4.26.82D EMKN mmKN mKN mKN m 中22221115.53/6.9(50.10.54.90. )39.92.82A DMKN mmKN mKN mKN m中2222117.95/2.5(10.39.10.39. )4.18.82D EMKN mmKN mKN mKN m 中 221 11115.53/6.9(45.60.51.80. )43.72.82A DMKN mmKN mKN mKN m中221 1117.95/2.5(12.66.12.66. )6.45.82D EMKN mmKN mKN mKN m 中恒载作用下的弯矩图详见图2.16。39图2.16 恒载作用下框架弯矩图(KN.m)5、恒荷载作用下的剪力计算、恒荷载作用下的剪力计算根据平衡原则,节点弯矩的正方向与杆端弯矩方向相反,一律以节点逆时针方向为正,杆端顺时针为正,根据计算简图2.17计算梁柱剪力。图2.17 剪力计算简图梁: AM02/2.0BBAMqlQ lM /2BABQMMlql BM02./20BAAMQ lMql40 /2AABQMMlql柱: CM0.0CDDMMQ h ()/DCDQMMh DM0.0CDCMMQ h ()/CCDQMMh (1)梁端剪力计算如表2.17所示。表表2.172.17 恒载下梁端剪力计算恒载下梁端剪力计算位置层数MA/(KN.m)MB/(KN.m)Ln/mq/(kN/m)QA/KNQB/KN543.7757.056.918.6162.28 -66.13 453.4256.076.915.5353.19 -53.96 350.7654.786.915.5353.00 -54.16 250.1054.916.915.5352.88 -54.28 AD跨145.6051.806.915.5352.68 -54.48 519.9019.902.59.511.88 -11.88 49.649.642.57.959.94 -9.94 310.4710.472.57.959.94 -9.94 210.3910.392.57.959.94 -9.94 DE跨112.6612.662.57.959.94 -9.94 (2)柱端剪力计算如表2.18所示。表表2.182.18 恒载下柱端剪力计算恒载下柱端剪力计算位置层数MC/(KN.m)MD/(KN.m)h/mQC/KNQD/KN41543.7727.663.9-18.32 -18.32 423.2625.403.9-12.48 -12.48 A柱325.4025.943.9-13.16 -13.16 224.2125.073.9-12.64 -12.64 120.4710.235.15-5.96 -5.96 537.1625.353.9-16.03 -16.03 421.1422.193.9-11.11 -11.11 322.1922.083.9-11.35 -11.35 222.5125.313.9-12.26 -12.26 D柱113.836.915.15-4.03 -4.03 (3)竖向恒载作用下的剪力图如图2.18所示。图2.18 恒荷载作用下框架剪力图6、恒荷载作用下的柱轴力计算、恒荷载作用下的柱轴力计算根据计算简图,按节点的平衡条件,得出柱轴力计算公式如下:柱轴力: NPGV式中: 梁端剪力;V 节点集中力;P 柱自重。G以顶层柱A柱柱轴力计算为例。梁端剪力:62.28kN 42集中荷载:157.94kN 柱自重: 6.25 3.924.38kN顶层A柱柱顶及柱底轴力: 157.9462.28=220.22kNNPV顶220.2224.38244.6kNN底柱轴力计算如表2.19所示,轴力图见图2.19。表表2.192.19 恒载下柱轴力计算恒载下柱轴力计算集中荷载柱自重节点左梁端节点右梁端梁端剪力柱顶轴力柱底轴力位置层数P/KNG/KN剪力V/KN剪力V/KNV/KNN/KNN/KN5157.9424.3862.2862.28220.22244.64147.9924.3853.1953.19445.78470.163147.9924.3853.0053671.15695.532147.9924.3852.8852.88896.4920.78A柱1147.9932.1952.6852.681121.451153.645150.1624.3866.1311.8878.01228.17252.554205.7324.3853.969.9463.9522.18546.563205.7324.3854.169.9464.1816.39840.772205.7324.3854.289.9464.221110.721135.1D柱1205.7332.1954.489.9464.421405.251437.4443图2.19 恒载作用下的轴力图(单位KN)2.8.3 横向框架在活荷载作用下的内力计算横向框架在活荷载作用下的内力计算根据“图2.13竖向活载作用下的计算简图”,用弯矩二次分配法计算轴线框架在活荷载作用下的弯矩。1、固端弯矩计算:、固端弯矩计算:将框架视为两端固定梁,计算固端弯矩,活荷载作用下框架可按下面公式求得:21/12abMql 21/12baMql顶层: 2516.34 6.925.1512ADMkN m 2516.34 6.925.1512DAMkN m 2513.19 2.51.6612DEMkN m 44 2513.19 2.51.6612EDMkN m 2516.34 6.925.1512EHMkN m 2516.34 6.925.1512HEMkN m标准层: 216.34 6.925.1512ADMkN m 216.34 6.925.1512DAMkN m 213.98 2.52.0712DEMkN m 213.98 2.52.0712EDMkN m 216.34 6.925.1512EHMkN m 216.34 6.925.1512HEMkN m2、弯矩分配及传递、弯矩分配及传递弯矩分配及传递详见图2.20。图2.20 活载下弯矩二次分配计算3、计算跨中弯矩、计算跨中弯矩2255116.34/6.9(17.9219.60)18.9782A DMkN mmkN mkN mkN m中225 5113.19/2.5(6.646.65)4.1682D EMkN mmkN mkN mkN m 中2244116.34/6.9(21.3422.77)15.6882A DMkN mmkN mkN mkN m中2244113.98/2.5(4.434.43)1.3282D EMkN mmkN mkN mkN m 中2233116.34/6.9(20.6822.46)16.1682A DMkN mmkN mkN mkN m中223 3113.98/2.5(4.634.63)0.6582D EMkN mmkN mkN mkN m 中2222116.34/6.9(20.4122.51)15.2782A DMkN mmkN mkN mkN m中2222113.98/2.5(4.594.59)1.4882D EMkN mmkN mkN mkN m 中221 1113.98/2.5(5.515.51)2.482D EMkN mmkN mkN mkN m 中45活载作用下的弯矩图详见图2.21。图2.21 活载作用下框架弯矩图(KN.m)4、活荷载作用下的剪力计算、活荷载作用下的剪力计算图2.22 剪力计算简图根据图2.22的计算简图计算梁柱剪力。46梁: AM02/2.0BBAMqlQ lM /2BABQMMlql BM02./20BAAMQ lMql /2AABQMMlql柱: CM0.0CDDMMQ h ()/DCDQMMh DM0.0CDCMMQ h ()/CCDQMMh (1) 梁端剪力计算如表2.20。表表2.202.20 活荷载下梁端剪力计算表活荷载下梁端剪力计算表位置层数MA/(KN.m)MB/(KN.m)Ln/mq/(kN/m)QA/KNQB/KN517.9219.606.96.3421.63 -22.12 421.3422.776.96.3421.67 -22.08 320.6822.466.96.3421.62 -22.13 220.4122.516.96.3421.57 -22.18 AD跨118.5821.276.96.3421.48 -22.26 4756.646.642.53.193.99 -3.99 44.434.432.53.984.98 -4.98 34.634.632.53.984.98 -4.98 DE跨24.594.592.53.984.98 -4.98 15.515.512.53.984.98 -4.98 (2)柱端剪力计算如表2.21。表表2.212.21 活荷载下柱端剪力计算活荷载下柱端剪力计算位置层数MC/(KN.m)MD/(KN.m)h/(m)QC/(KN)QD/(KN)519.9220.273.9-10.31 -10.31 49.8210.353.9-5.17 -5.17 310.3510.573.9-5.36 -5.36 29.8610.223.9-5.15 -5.15 A柱18.334.175.15-2.43 -2.43 512.929.683.9-5.79 -5.79 48.688.933.9-4.52 -4.52 38.938.883.9-4.57 -4.57 29.0610.193.9-4.94 -4.94 D柱15.572.785.15-1.62 -1.62 竖向活载作用下的剪力图如图2.23所示。48图2.23 活荷载作用下框架剪力图(kN)(3)活荷载作用下的柱轴力计算根据计算简图,按节点的平衡条件,得出柱轴力计算公式如下:柱轴力: NPV式中:梁端剪力;V 节点集中力P以顶层柱A柱柱轴力计算为例。梁端剪力:22.63kN 集中荷载:50.06kN 顶层B柱柱顶及柱底轴力: 50.0622.63=72.69kNNPV顶柱轴力计算如表2.22所示,柱子轴力图见图2.24。49集中荷载柱自重节点左梁端节点右梁端梁端剪力柱顶轴力柱底轴力位置层数P/KNG/KN剪力V/KN剪力V/KNV/KNN/KNN/KN550.0621.6321.6371.6971.69435.7721.6721.67129.13129.13335.7721.6221.62186.52186.52235.7721.5721.57243.86243.86A(H)柱135.7721.4821.48301.11301.11559.3322.123.9926.1185.4485.44464.7422.084.9827.06177.24177.24364.7422.134.9827.11269.09269.09264.7422.184.9827.16360.99360.99D(E)柱164.7422.264.9827.24452.97452.97图2.24 活荷载作用下的轴力图(单位KN)503 内力组合内力组合3.1 横向框架梁内力组合横向框架梁内力组合本框架结构地震烈度为7 度,结构高度小于30 米,故抗震等级为三级。荷载效应和地震作用效应的组合同时满足下面两个:A无地震作用效应组合时,荷载效应组合设计值按:永久荷载起控制作用时:1.350.7 1.4GKQKSSS可变荷载起控制作用时: 1.21.41.4 0.6GKQKWKSSSS1.21.41.4 0.7GKWKQKSSSS考虑恒载、活载和风载组合时,采用简化规则:1.21.4 0.9GKQKWKSSSSB有地震作用效应组合时,荷载效应组合设计值按: 其中1.21.3GEEKSSS0.5GEGKQKSSS3.2 框架梁弯矩调幅框架梁弯矩调幅根据以上内力计算结果,即可进行各梁柱各控制截面上的内力组合,其中梁的控制截面为梁端及跨中,每层共有9 个截面。柱每层有两个控制截面,即柱顶和柱底。各种荷载情况下的内力求得后,根据最不利又是可能最利的原则进行内力组合。当考虑塑性结构塑性内力重分布的有利影响时,应在内力组合之前对竖向荷载做用下的内力进行调幅,水平荷载作用下的弯矩不能调幅,调幅系数为0.85。梁支座边缘处的内力值公式:梁支座边缘处的内力值:b=2=2VMMqbVV边缘边缘式中:M边缘支座边缘截面的弯矩标准值; V边缘支座边缘截面的剪力标准值; M梁柱中线交点处的剪力标准值;50 V与M相应的梁柱中线交点处的剪力标准值;51 q梁单位长度的均布荷载标准值; b梁端支座宽度(即柱截面高度)。各层梁弯矩调幅结果详见表3.1。表表3.13.1 轴线处的内力换算为梁支座边缘处的内力值轴线处的内力换算为梁支座边缘处的内力值荷载类型wkSEkS楼层截面位置(AD跨梁)内力GESGkSQkS左风右风左震右震M-52.73-43.77-17.9221.89-21.8977.53-77.53左端V73.09562.2821.63-5.865.86-20.7320.73M69.82560.3418.971.68-1.685.95-5.95跨中VM-66.85-57.05-19.60-18.5318.53-65.6365.63轴线处内力右端V-77.19-66.13-22.12-5.865.86-20.7320.73M-34.46-28.20-12.5120.43-20.4372.35-72.35左端V67.6557.6320.05-5.865.86-20.7320.73M69.82560.3418.971.68-1.685.95-5.95跨中VM-47.55-40.52-14.07-17.0717.07-60.4560.45梁支座边缘处内力右端V-71.71-61.48-20.54-5.865.86-20.7320.73M-29.29-23.97-10.6417.36-17.3661.50-61.50左端V67.6557.6320.05-5.865.86-20.7320.73M78.90 68.18 21.44 1.68-1.685.95-5.95跨中VM-40.42-34.44-11.96-14.5114.51-51.3851.385梁支座边缘处调幅后内力右端V-71.71-61.48-20.54-5.865.86-20.7320.7352注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(AD跨梁)内力GESGkSQkS左风右风左震右震M-64.09-53.42-21.3458.04-58.04169.29-169.29左端V64.0353.1921.67-16.1816.18-47.0947.09M45.5237.6815.682.57-2.576.84-6.84跨中VM-67.46-56.07-22.77-53.2753.27-155.62155.62轴线处内力右端V-65-53.96-22.08-16.1816.18-47.0947.09M-48.08 -40.12 -15.92 54.00 -54.00 157.52 -157.52 左端V59.36 49.31 20.09 -16.1816.18-47.0947.09M45.5237.6815.682.57-2.576.84-6.84跨中VM-51.21 -42.58 -17.25 -49.23 49.23 -143.85 143.85 梁支座边缘处内力右端V-60.33 -50.08 -20.50 -16.1816.18-47.0947.09M-40.87 -34.10 -13.53 45.90 -45.90 133.89 -133.89 左端V59.36 49.31 20.09 -16.1816.18-47.0947.09M51.44 42.58 17.72 2.57-2.576.84-6.84跨中VM-43.53 -36.19 -14.66 -41.84 41.84 -122.27 122.27 4梁支座边缘处调幅后内力右端V-60.33 -50.08 -20.50 -16.1816.18-47.0947.09注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活53荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1 荷载类型wkSEkS楼层截面位置(AD跨梁)内力GESGkSQkS左风右风左震右震M-61.10-50.76-20.6894.71-94.71236-236左端V63.8153.0021.62-26.9526.95-65.9765.97M47.7339.6516.161.75-1.758.40-8.40跨中VM-66.01-54.78-22.46-91.2291.22-219.21219.21轴线处内力右端V-65.23-54.16-22.13-26.9526.95-65.9765.97M-45.15 -37.51 -15.28 87.97 -87.97 219.51 -219.51 左端V59.14 49.12 20.04 -26.9526.95-65.9765.97M47.7339.6516.161.75-1.758.40-8.40跨中VM-49.70 -41.24 -16.93 -84.48 84.48 -202.72 202.72 梁支座边缘处内力右端V-60.56 -50.28 -20.55 -26.9526.95-65.9765.97M-38.38 -31.88 -12.98 74.78 -74.78 186.58 -186.58 左端V59.14 49.12 20.04 -26.9526.95-65.9765.97M53.93 44.80 18.26 1.75-1.758.40-8.40跨中VM-42.25 -35.05 -14.39 -71.81 71.81 -172.31 172.31 3梁支座边缘处调幅后内力右端V-60.56 -50.28 -20.55 -26.9526.95-65.9765.97注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活54荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(AD跨梁)内力GESGkSQkS左风右风左震右震M-60.31-50.10-20.41134.15-134.15300.82-300.82左端V63.6752.8821.57-37.1837.18-83.3883.38M47.5639.9215.275.88-5.8813.18-13.18跨中VM-66.17-54.91-22.51-122.39122.39-274.47274.47轴线处内力右端V-65.37-54.28-22.18-37.1837.18-83.3883.38M-44.39 -36.88 -15.02 124.86 -124.86 279.98 -279.98 左端V59.00 49.00 19.99 -37.1837.18-83.3883.38M47.5639.9215.275.88-5.8813.18-13.18跨中VM-49.83 -41.34 -16.97 -113.10 113.10 -253.63 253.63 梁支座边缘处内力右端V-60.70 -50.40 -20.60 -37.1837.18-83.3883.38M-37.73 -31.35 -12.76 106.13 -106.13 237.98 -237.98 左端V59.00 49.00 19.99 -37.1837.18-83.3883.38M53.74 45.11 17.26 5.88-5.8813.18-13.18跨中VM-42.35 -35.14 -14.42 -96.13 96.13 -215.58 215.58 2梁支座边缘处调幅后内力右端V-60.70 -50.40 -20.60 -37.1837.18-83.3883.38注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活55荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(AD跨梁)内力GESGkSQkS左风右风左震右震M-54.89-45.60-18.58170.04-170.04351.09-351.09左端V63.4252.6821.48-47.4447.44-97.9497.94M52.6343.7217.816.36-6.3613.18-13.18跨中VM-62.65-51.80-21.27-157.32157.32-324.73324.73轴线处内力右端V-65.61-54.48-22.26-47.4447.44-97.9497.94M-39.04 -32.43 -13.21 158.18 -158.18 326.61 -326.61 左端V58.75 48.80 19.90 -47.4447.44-97.9497.94M52.6343.7217.816.36-6.3613.18-13.18跨中VM-46.25 -38.18 -15.71 -145.46 145.46 -300.25 300.25 梁支座边缘处内力右端V-60.94 -50.60 -20.68 -47.4447.44-97.9497.94M-33.18 -27.57 -11.23 134.45 -134.45 277.61 -277.61 左端V58.75 48.80 19.90 -47.4447.44-97.9497.94M59.47 49.40 20.13 6.36-6.3613.18-13.18跨中VM-39.31 -32.45 -13.35 -123.64 123.64 -255.21 255.21 1梁支座边缘处调幅后内力右端V-60.94 -50.60 -20.68 -47.4447.44-97.9497.94注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活56荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(DE跨梁)内力GESGkSQkS左风右风左震右震M-23.23-19.90-6.653.58-3.5812.69-12.69左端V13.8811.883.99-2.682.68-10.1510.15M-13.76-11.68-4.16跨中VM-23.22-19.90-6.64-3.583.58-12.6912.69轴线处内力右端V-13.88-11.88-3.99-2.682.68-10.1510.15M-19.76 -16.93 -5.65 2.91 -2.91 10.15 -10.15 左端V11.02 9.51 3.19 -2.682.68-10.1510.15M-13.76-11.68-4.16跨中VM-19.75 -16.93 -5.64 -2.91 2.91 -10.15 10.15 梁支座边缘处内力右端V-11.02 -9.51 -3.19 -2.682.68-10.1510.15M-16.80 -14.39 -4.80 2.47 -2.47 8.63 -8.63 左端V11.02 9.51 3.19 -2.682.68-10.1510.15M-15.55 -13.20 -4.70 跨中VM-16.79 -14.39 -4.80 -2.47 2.47 -8.63 8.63 5梁支座边缘处调幅后内力右端V-11.02 -9.51 -3.19 -2.682.68-10.1510.15注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活57荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(DE跨梁)内力GESGkSQkS左风右风左震右震M-11.86 -9.64-4.4310.30-10.3030.09-30.09左端V12.43 9.944.98-8.248.24-24.0724.07M-4.09 -3.43-1.32跨中VM-11.86 -9.64-4.43-10.3010.30-30.0930.09轴线处内力右端V-12.43 -9.94-4.98-8.248.24-24.0724.07M-8.75 -7.16 -3.19 8.24 -8.24 24.07 -24.07 左端V9.95 7.95 3.99 -8.248.24-24.0724.07M-4.09 -3.43-1.32跨中VM-8.75 -7.16 -3.19 -8.24 8.24 -24.07 24.07 梁支座边缘处内力右端V-9.95 -7.95 -3.99 -8.248.24-24.0724.07M-7.44 -6.08 -2.71 7.00 -7.00 20.46 -20.46 左端V9.95 7.95 3.99 -8.248.24-24.0724.07M-4.62 -3.88 -1.49 跨中VM-7.44 -6.08 -2.71 -7.00 7.00 -20.46 20.46 4梁支座边缘处调幅后内力右端V-9.95 -7.95 -3.99 -8.248.24-24.0724.07注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活58荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(DE跨梁)内力GESGkSQkS左风右风左震右震M-12.79 -10.47-4.6317.64-17.6442.38-42.38左端V12.43 9.944.98-14.1114.11-33.933.9M-4.59 -4.26-0.65跨中VM-12.79 -10.47-4.63-17.6417.64-42.3842.38轴线处内力右端V-12.43 -9.94-4.98-14.1114.11-33.933.9M-9.68 -7.99 -3.39 14.11 -14.11 33.91 -33.91 左端V9.95 7.95 3.99 -14.1114.11-33.933.9M-4.59 -4.26-0.65跨中VM-9.68 -7.99 -3.39 -14.11 14.11 -33.91 33.91 梁支座边缘处内力右端V-9.95 -7.95 -3.99 -14.1114.11-33.933.9M-8.23 -6.79 -2.88 12.00 -12.00 28.82 -28.82 左端V9.95 7.95 3.99 -14.1114.11-33.933.9M-5.19 -4.81 -0.73 跨中VM-8.23 -6.79 -2.88 -12.00 12.00 -28.82 28.82 3梁支座边缘处调幅后内力右端V-9.95 -7.95 -3.99 -14.1114.11-33.933.9注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活59荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(DE跨梁)内力GESGkSQkS左风右风左震右震M-12.69-10.39-4.5923.66-23.6653.06-53.06左端V12.439.944.98-18.9318.93-42.4542.45M-4.92-4.18-1.48跨中VM-12.69-10.39-4.59-23.6623.66-53.0653.06轴线处内力右端V-12.43-9.94-4.98-18.9318.93-42.4542.45M-9.58-7.91-3.3518.93-18.9342.45-42.45左端V9.957.953.99-18.9318.93-42.4542.45M-4.92-4.18-1.48跨中VM-9.58-7.91-3.35-18.9318.93-42.4542.45梁支座边缘处内力右端V-9.95-7.95-3.99-18.9318.93-42.4542.45M-8.15-6.72-2.8416.09-16.0936.08-36.08左端V9.957.953.99-18.9318.93-42.4542.45M-5.56-4.72-1.67跨中VM-8.15-6.72-2.84-16.0916.09-36.0836.082梁支座边缘处调幅后内力右端V-9.95-7.95-3.99-18.9318.93-42.4542.45注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活60荷载的最不利布置和跨中弯矩并非跨间最大弯矩,则跨中弯矩也应适当放大,故再乘以一个1.2的系数,即表中的调幅后跨中弯矩M为调幅前跨中弯矩乘以1.11.2=1.32,水平荷载作用下不调幅。续表3.1荷载类型wkSEkS楼层截面位置(DE跨梁)内力GESGkSQkS左风右风左震右震M-15.42 -12.66-5.5130.41-30.4162.78-62.78左端V12.43 9.944.98-24.3324.33-50.2250.22M-7.65 -6.45-2.4跨中VM-15.42 -12.66-5.51-30.4130.41-62.7862.78轴线处内力右端V-12.43 -9.94-4.98-24.3324.33-50.2250.22M-12.31 -10.18 -4.27 24.33 -24.33 50.23 -50.23 左端V9.95 7.95 3.99 -24.3324.33-50.2250.22M-7.65 -6.45-2.4跨中VM-12.31 -10.18 -4.27 -24.33 24.33 -50.23 50.23 梁支座边缘处内力右端V-9.95 -7.95 -3.99 -24.3324.33-50.2250.22M-10.47 -8.65 -3.63 20.68 -20.68 42.69 -42.69 左端V9.95 7.95 3.99 -24.3324.33-50.2250.22M-8.64 -7.29 -2.71 跨中VM-10.47 -8.65 -3.63 -20.68 20.68 -42.69 42.69 1梁支座边缘处调幅后内力右端V-9.95 -7.95 -3.99 -24.3324.33-50.2250.22注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、表中的调幅后跨中弯矩M比调幅前跨中弯矩大,近似取为调幅前跨中弯矩的1.1倍;考虑手算时没有考虑活623.3 框架梁内力组合框架梁内力组合框架梁取每跨梁的左端、右端、跨中三个控制截面组合计算结果见表3.2。表表3.23.2框架梁内力组合表框架梁内力组合表第5层框架梁内力组合重力载恒载活载左风右风左震右震不考虑地震的组合考虑地震的组合不利内力1.2恒+1.4x0.9(活+风)1.21.3REGEEKSS层次控制截面不利内力GESGKSQKSWKSWKSEKSEKS1.2恒+1.4活1.35恒+1.4x0.7活左风右风左震右震最大正M及相应V最大负M及相应VM-29.29-23.97-10.6417.36-17.3661.50-61.50-43.66-42.79-20.30-64.0444.80-115.1044.80-115.10A右V67.6557.6320.05-5.865.86-20.7320.7397.2397.4587.04101.8054.23108.1354.23108.13M-40.42-34.44-11.96-14.5114.51-51.3851.38-58.07-58.21-74.68-38.12-115.3018.2918.29-115.30B左V-71.71-61.48-20.54-5.865.86-20.7320.73-102.53-103.13-107.04-92.27-113.00-59.10-59.10-113.00M-16.80-14.39-4.802.47-2.478.63-8.63-23.99-24.13-20.20-26.43-8.94-31.38-8.94-31.38B右V11.029.513.19-2.682.68-10.1510.1515.8815.9612.0518.810.0326.420.0326.42M-16.79-14.39-4.80-2.472.47-8.638.63-23.99-24.13-26.43-20.20-31.37-8.93-8.93-31.37C左V-11.02-9.51-3.19-2.682.68-10.1510.15-15.88-15.96-18.81-12.05-26.42-0.03-0.03-26.42M-40.42-34.44-11.96-14.5114.51-51.3851.38-58.07-58.21-74.68-38.12-115.3018.2918.29-115.30C右V11.02-61.48-20.54-5.865.86-20.7320.73-102.53-103.13-107.04-92.27-13.7340.1740.17-13.73M-29.29-23.97-10.6417.36-17.3661.50-61.50-43.66-42.79-20.30-64.0444.80-115.1044.80-115.10D左V67.6557.6320.05-5.865.86-20.7320.7397.2397.4587.04101.8054.23108.1354.23108.13ADM78.9068.1821.441.68-1.685.95-5.95111.83113.05110.95106.71102.4286.95113.05DEM-15.55-13.20-4.70-22.42-22.43-21.76-21.76-18.66-18.66-22.435跨中GEM78.9068.1821.441.68-1.685.95-5.95111.83113.05110.95106.71102.4286.95113.0563注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、抗震组合时对于受弯砼梁,受弯时,承载力调整系数,受剪时,承载力调整系数。0.75RE0.85RE续表3.2第4层框架梁内力组合重力载恒载活载左风右风左震右震不考虑地震的组合考虑地震的组合不利内力1.2恒+1.4x0.9(活+风)RE1.21.3GKEKSS层次控制截面不利内力GKSGKSQKSWKSWKSEKSEKS1.2恒+1.4活1.35恒+1.4x0.7活左风右风左震右震最大正M及相应V最大负M及相应VM-40.87-34.10-13.5345.90-45.90133.89-133.89-59.86-59.29-0.13-115.80125.01-223.10125.01-223.10A右V59.3649.3120.09-16.1816.18-47.0947.0987.3086.2664.10104.8710.02132.4510.02132.45M-43.53-36.19-14.66-41.8441.84-122.27122.27-63.95-63.22-114.62-9.18-211.19106.72106.72-211.19B左V-60.33-50.08-20.50-16.1816.18-47.0947.09-88.80-87.70-106.31-65.54-133.61-11.18-11.18-133.61M-7.44-6.08-2.717.00-7.0020.46-20.46-11.09-10.86-1.89-19.5317.67-35.5317.67-35.53B右V9.957.953.99-8.248.24-24.0724.0715.1314.644.1924.95-19.3543.23-19.3543.23M-7.44-6.08-2.71-7.007.00-20.4620.46-11.09-10.86-19.53-1.89-35.5317.6717.67-35.53C左V-9.95-7.95-3.99-8.248.24-24.0724.07-15.13-14.64-24.95-4.19-43.2319.3519.35-43.23M-43.53-36.19-14.66-41.8441.84-122.27122.27-63.95-63.22-114.62-9.18-211.19106.72106.72-211.19C右V-60.33-50.08-20.50-16.1816.18-47.0947.09-88.80-87.70-106.31-65.54-133.61-11.18-11.18-133.61M-40.87-34.10-13.5345.90-45.90133.89-133.89-59.86-59.29-0.13-115.80125.01-223.10125.01-223.10D左V59.3649.3120.09-16.1816.18-47.0947.0987.3086.2664.10104.8710.02132.4510.02132.45ADM51.4442.5817.722.57-2.576.84-6.8475.9074.8576.6670.1970.6252.8476.66DEM-4.62-3.88-1.49-6.74-6.70-6.53-6.53-5.54-5.54-6.744跨中GEM51.4442.5817.722.57-2.576.84-6.8475.9074.8576.6670.1970.6252.8476.66注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、抗震组合时对于受弯砼梁,受弯时,承载力调整系数,受剪时,承载力调整系数。0.75RE0.85RE6365M-38.38-31.88-12.9874.78-74.78186.58-186.58-56.43-55.7639.61-148.83196.50-288.61196.50-288.61A右V59.1449.1220.04-26.9526.95-65.9765.9787.0085.9550.24118.15-14.79156.73-14.79156.73M-42.25-35.05-14.39-71.8171.81-172.31172.31-62.21-61.42-150.6730.29-274.70173.30173.30-274.70B左V-60.56-50.28-20.55-26.9526.95-65.9765.97-89.11-88.02-120.19-52.27-158.4313.0913.09-158.43M-8.23-6.79-2.8812.00-12.0028.82-28.82-12.18-11.993.34-26.9027.59-47.3427.59-47.34B右V9.957.953.99-14.1114.11-33.933.915.1314.64-3.2132.35-32.1356.01-32.1356.01M-8.23-6.79-2.88-12.0012.00-28.8228.82-12.18-11.99-26.903.34-47.3427.5927.59-47.34C左V-9.95-7.95-3.99-14.1114.11-33.933.9-15.13-14.64-32.353.21-56.0132.1332.13-56.01M-42.25-35.05-14.39-71.8171.81-172.31172.31-62.21-61.42-150.6730.29-274.70173.30173.30-274.70C右V-60.56-50.28-20.55-26.9526.95-65.9765.97-89.11-88.02-120.19-52.27-158.4313.0913.09-158.43M-38.38-31.88-12.9874.78-74.78186.58-186.58-56.43-55.7639.61-148.83196.50-288.61196.50-288.61D左V59.1449.1220.04-26.9526.95-65.9765.9787.0085.9550.24118.15-14.79156.73-14.79156.73跨中ADM53.9344.8018.261.75-1.758.40-8.4079.3278.3778.9774.5675.6453.8079.32DEM-5.19-4.81-0.73-6.79-7.21-6.69-6.69-6.23-6.23-7.21GEM53.9344.8018.261.75-1.758.40-8.4079.3278.3778.9774.5675.6453.8079.32注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、抗震组合时对于受弯砼梁,受弯时,承载力调整系数,受剪时,承载力调整系数。0.75RE0.85RE67续表3.2第2层框架梁内力组合重力载恒载活载左风右风左震右震不考虑地震的组合考虑地震的组合不利内力1.2恒+1.4x0.9(活+风)RE1.21.3GKEKSS层次控制截面不利内力GESGKSQKSWKSWKSEKSEKS1.2恒+1.4活1.35恒+1.4x0.7活左风右风左震右震最大正M及相应V最大负M及相应VM-37.73-31.35-12.76106.13-106.13237.98-237.98-55.48-54.8380.03-187.42264.10-354.65264.10-354.65A右V59.0049.0019.99-37.1837.18-83.3883.3886.7985.7437.14130.83-37.59179.19-37.59179.19M-42.35-35.14-14.42-96.1396.13-215.58215.58-62.36-61.57-181.4660.79-331.07229.43229.43-331.07B左V-60.70-50.40-20.60-37.1837.18-83.3883.38-89.32-88.23-133.28-39.59-181.2335.5535.55-181.23M-8.15-6.72-2.8416.09-16.0936.08-36.08-12.04-11.868.63-31.9237.12-56.6837.12-56.68B右V9.957.953.99-18.9318.93-42.4542.4515.1314.64-9.2838.42-43.2567.13-43.2567.13M-8.15-6.72-2.84-16.0916.09-36.0836.08-12.04-11.868.63-31.92-56.6837.1237.12-56.68C左V-9.95-7.95-3.99-18.9318.93-42.4542.45-15.13-14.64-38.429.28-67.1343.2543.25-67.13M-42.35-35.14-14.42-96.1396.13-215.58215.58-62.36-61.57-181.4660.79-331.07229.43229.43-331.07C右V-60.70-50.40-20.60-37.1837.18-83.3883.38-89.32-88.23-133.28-39.59-181.2335.5535.55-181.23M-37.73-31.35-12.76106.13-106.13237.98-237.98-55.48-54.8380.03-187.42264.10-354.65264.10-354.65D左V59.0049.0019.99-37.1837.18-83.3883.3886.7985.7437.14130.83-37.59179.19-37.59179.19ADM53.7445.1117.265.88-5.8813.18-13.1878.3077.8183.2968.4781.6247.3583.29DEM-5.56-4.72-1.67-8.00-8.01-7.77-7.77-6.67-6.67-8.012跨中GEM53.7445.1117.265.88-5.8813.18-13.1878.3077.8183.2968.4781.6247.3583.29注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、抗震组合时对于受弯砼梁,受弯时,承载力调整系数,受剪时,承载力调整系数。0.75RE0.85RE67续表3.2第1层框架梁内力组合重力载恒载活载左风右风左震右震不考虑地震的组合考虑地震的组合不利内力1.2恒+1.4x0.9(活+风)RE1.21.3GKEKSS层次控制截面不利内力GESGKSQKSWKSWKSEKSEKS1.2恒+1.4活1.35恒+1.4x0.7活左风右风左震右震最大正M及相应V最大负M及相应VM-33.18-27.57-11.23134.45-134.45277.61-277.61-48.81-48.22122.17-216.64321.08-400.71321.08-400.71A右V58.7548.8019.90-47.4447.44-97.9497.9486.4285.3823.86143.41-56.82197.82-56.82197.82M-39.31-32.45-13.35-123.64123.64-255.21255.21-57.63-56.89-211.55100.03-378.95284.60284.60-378.95B左V-60.94-50.60-20.68-47.4447.44-97.9497.94-89.67-88.58-146.55-27.00-200.4554.1954.19-200.45M-10.47-8.65-3.6320.68-20.6842.69-42.69-15.46-15.2311.10-41.0142.93-68.0642.93-68.06B右V9.957.953.99-24.3324.33-50.2250.2215.1314.64-16.0945.22-53.3577.23-53.3577.23M-10.47-8.65-3.63-20.6820.68-42.6942.69-15.46-15.23-41.0111.10-68.0642.9342.93-68.06C左V-9.95-7.95-3.99-24.3324.33-50.2250.22-15.13-14.64-45.2216.09-77.2353.3553.35-77.23M-39.31-32.45-13.35-123.64123.64-255.21255.21-57.63-56.89-211.55100.03-378.95284.60284.60-378.95C右V-60.94-50.60-20.68-47.4447.44-97.9497.94-89.67-88.58-146.55-27.00-200.4554.1954.19-200.45M-33.18-27.57-11.23134.45-134.45277.61-277.61-48.81-48.22122.17-216.64321.08-400.71321.08-400.71D左V58.7548.8019.90-47.4447.44-97.9497.9486.4285.3823.86143.41-56.82197.82-56.82197.82ADM59.4749.4020.136.36-6.3613.18-13.1887.4686.4292.6676.6388.5054.2392.66DEM-8.64-7.29-2.71-12.54-12.50-12.16-12.16-10.37-10.37-12.541跨中GEM59.4749.4020.136.36-6.3613.18-13.1887.4686.4292.6676.6388.5054.2392.66注:注:1、表中弯矩的单位是kNm,剪力的单位是KN。2、抗震组合时对于受弯砼梁,受弯时,承载力调整系数,受剪时,承载力调整系数。0.75RE0.85RE673.4 框架柱内力组合框架柱内力组合柱上端控制值截面在梁底,下端在梁顶,应按轴线计算简图所得的柱端内力值换成控制截面的相应值,此计算为简化起见,采用轴线处内力值。框架柱取每层柱顶和柱底两个控制截面组合计算结果见表3.368表表3.33.3 框架柱内力组合表框架柱内力组合表第A轴柱内力组合重力载恒载活载左风右风左震右震不考虑地震的组合考虑地震的组合不利内力1.2恒+1.4x0.9(活+风)RE1.21.3GKEKSS层次控制截面不利内力GESGKSQKSWKSWKSEKSEKS1.2恒+1.4活1.35恒+1.4x0.7活左风右风左震右震maxM及相应N、VmaxN及相应M、VminN及相应M、VM-52.73-43.77-17.9221.89-21.8977.53-77.53-77.61-76.65-47.52-102.6837.51-153.31-153.31-76.6537.51柱顶N256.07220.2271.69-5.865.86-20.7320.73364.63367.55347.21361.98280.34291.21291.21367.55280.34M37.8027.6620.27-14.7714.77-52.3452.3461.5757.2140.1277.34-22.68101.23101.2357.21-22.68柱底N280.45244.671.69-5.865.86-20.7320.73393.89400.47376.47391.23309.59320.47320.47400.47309.595柱V-23.48-18.32-10.319.40-9.4033.30-33.30-36.42 -34.84 -23.13 -46.82 15.11 -65.27 -65.27-34.8415.11M-28.07-23.26-9.6243.63-43.63116.95-116.95-41.38-40.8314.94-95.01118.35-179.95-179.95-40.83118.35柱顶N510.35445.78129.13-16.8116.81-47.0947.09715.72728.35676.46718.82551.20596.15596.15728.35551.20M30.5825.4010.35-36.1336.13-96.8596.8544.97 44.43 -2.00 89.04 -89.21 156.39 156.39 44.43 -89.21 柱底N534.73470.16129.13-16.8116.81-47.0947.09744.97761.26705.72748.08580.46625.41625.41761.26580.464柱V-15.07 -12.48-5.1720.45-20.4554.82-54.82-22.21 -21.91 4.28 -47.26 53.18 -86.24 -86.24-21.9153.18369M-30.58-25.40-10.3558.58-58.58139.15-139.15-44.97-44.4330.29-117.33144.20-211.38-211.38-44.43144.20柱顶N764.28671.15186.25-26.9526.95-65.9765.971066.131088.581006.101074.01831.38891.14891.141088.58831.38M31.2325.9410.57-58.5858.58-139.15139.1545.9345.38-29.36118.26-143.42212.02212.0245.38-143.42柱底N788.66695.53186.25-26.9526.95-65.9765.971095.391121.491035.351103.27860.63920.40920.401121.49860.63柱V-16.29 -13.61-5.3630.04-30.0471.36-71.36-23.84 -23.63 14.76 -60.94 73.22 -109.10 -109.10-23.6373.22M-29.14-24.21-9.8675.57-75.57161.67-161.67-42.86-42.3553.74-136.69175.20-239.22-239.22-136.69175.20柱顶N1018.33896.40243.86-37.1837.18-83.3883.381417.081449.121336.101429.791113.601184.071184.071429.791113.60M30.1825.0710.22-75.5775.57-161.67161.6744.3943.86-52.26138.18-173.96240.26240.2643.86-173.96柱底N1042.71920.78243.86-37.1837.18-83.3883.381446.341482.041365.351459.051142.861213.331213.331482.041142.862柱V-15.22-12.64-5.1538.75-38.7582.91-82.91-22.38 -22.11 27.17 -70.48 89.52 -122.95 -122.95-22.1189.52M-24.64-20.47-8.3394.47-94.47189.42-189.42-36.23-35.8083.97-154.09216.68-270.81-270.81-35.80216.68柱顶N1272.011121.45301.11-47.4447.44-97.9497.941767.291809.051665.361784.911399.091473.061473.061809.051399.09M12.3210.234.17-129.39129.39-259.45259.4518.1117.90-145.50180.56-322.50349.56349.5617.90-322.50柱底N1304.201153.64301.11-47.4447.44-97.9497.941805.921852.501703.991823.541437.721511.691511.691852.501437.721柱V-7.18 -5.96-2.4348.14-48.1487.16-87.16-10.55 -10.43 50.44 -70.87 104.69 -120.46 -120.46-10.43104.69注:1、表中弯矩的单位是kNm,剪力、轴力的单位是KN。2、抗震时轴压比不小于0.15时,框架柱承载力调整系数。0.80RE71续表3.3第D轴柱内力组合重力载恒载活载左风右风左震右震不考虑地震的组合考虑地震的组合不利内力1.2恒+1.4x0.9(活+风)RE1.21.3GKEKSS层次控制截面不利内力GESGKSQKSWKSWKSEKSEKS1.2恒+1.4活1.35恒+1.4x0.7活左风右风左震右震maxM及相应NmaxN及相应MminN及相应MM43.6437.1612.9622.11-22.1178.32-78.3262.7462.8788.7833.06154.18-57.22154.1862.74-57.22柱顶N270.89228.1785.44-3.003.00-10.5810.58393.42391.76377.68385.24311.31287.56311.31393.42287.56M-30.19-25.35-9.68-17.817.8-63.0563.05-43.97-43.71-65.04-20.19-118.1951.55-118.19-43.7151.55柱底N295.27252.5585.44-3.003.00-10.5810.58422.68424.67406.93414.49340.57316.81340.57424.67316.815柱V18.93 16.035.7910.23-10.2336.25-36.2527.34 27.31 39.42 13.64 69.84 -27.89 69.8427.31-27.89M25.4821.148.6845.77-45.77122.66-122.6637.5237.0593.98-21.37190.03-134.09190.0337.05-134.09柱顶N610.80522.18177.24-7.947.94-23.0223.02874.75878.64839.93859.94703.03656.54703.03878.64656.54M-26.66-22.19-8.93-41.0841.08-110.09110.09-39.13-38.71-89.6413.88-175.11116.49-175.11-38.71116.49柱底N635.18546.56177.24-7.947.94-23.0223.02904.01911.55869.19889.20732.29685.80732.29911.55685.804柱V13.37 11.114.5222.27-22.2759.68-59.6819.66 19.43 47.09 -9.03 93.63 -64.25 93.6319.43-64.25M26.6622.198.9363.78-63.78151.50-151.5039.1338.71118.24-42.48228.94-170.32228.9438.71-170.32柱顶N950.94816.39269.09-12.8412.84-32.0732.071356.391365.831302.541334.901099.441021.361099.441365.831021.36M-26.52-22.08-8.88-63.7863.78-151.50151.50-38.93-38.51-118.0542.68-228.77170.45-228.77-38.51170.453柱底N975.32840.77269.09-12.8412.84-32.0732.071385.651398.751331.801364.161128.691050.621128.691398.751050.6271柱V13.6411.354.5732.71-32.7177.69-77.6920.02 19.80 60.59 -21.84 117.37 -87.38 117.3719.80-87.38M27.0422.519.0682.27-82.27176.03-176.0339.7039.27142.09-65.23261.29-201.83261.29261.29-201.832柱顶N291.22110.72360.99-18.2518.25-40.9340.93638.25503.24564.72610.71296.26186.07296.26296.26186.07M-30.41-25.31-10.19-82.2782.27-176.03176.03-44.64-44.15-146.8760.45-265.33198.47-265.33-44.15198.47柱底N1315.601135.1360.99-18.2518.25-40.9340.931867.511886.161793.971839.961525.511415.331525.511886.161415.33柱V14.7312.264.9442.19-42.1990.27-90.2721.63 21.39 74.10 -32.22 135.03 -102.64 135.0321.39-102.64M16.6213.835.57105.46-105.46211.47-211.4724.3924.13156.49-109.27294.86-258.32294.8624.13-258.32柱顶N1631.741405.25452.97-23.1123.11-47.7247.722320.462341.002227.922286.161896.051748.341896.052341.001748.34M-8.30-6.91-2.787-128.90128.90-258.47258.47-12.19-12.06-174.22150.61-345.97327.72-345.97-12.06327.72柱底N1663.931437.44452.97-23.1123.11-47.7247.722359.092384.452266.552324.791934.681786.961934.682384.451786.961柱V4.844.031.6250.40-50.4091.25-91.257.10 7.03 70.38 -56.63 124.43 -113.79 124.437.03-113.79注:注:1、表中弯矩的单位是kNm,剪力、轴力的单位是KN。2、抗震时轴压比不小于0.15时,框架柱承载力调整系数。0.80RE714 梁柱截面设计及配筋计算梁柱截面设计及配筋计算4.1设计信息设计信息砼采用C30等级,214.3/,1.43/ctfN mmfN mm梁纵筋采用HRB400钢筋,箍筋采用HRB335钢筋各主梁截面尺寸为AB、CD跨为240mm600mm,BC跨为240mm400mm。4.2正截面承载力计算正截面承载力计算以第五层AB跨为例说明计算过程,梁跨间按单筋T形截面进行配筋计算:翼缘计算宽度按计算跨度考虑,截面有效高度h=630。0l06.92.333flbm判别T形截面类型:0120113.051 14.3 2300 120630222249.68fucffhMkN mMf b hhkN m 组属第I类T形截面。截面抵抗矩系数:6221113.05 100.00871.0 14.3 2300 630foscMf b h相对受压区高度:11 211 2 0.00870.00870.35s 配筋面积:1021.0 14.3 0.00872300 630600.90300cfsyfb hAmmf下部配筋取 2220,628sAmm配筋率验算:min(0.2%,0.45/0.45 1.43/3000.215%)0.215%tyMaxff72实际配筋率:,符合要求。6281000.39%250 650sAbh梁支座按矩形截面计算:A右支座:065060590shhamm6221115.10 100.0921 14.3 250 590oscMf bh11 211 2 0.0920.0970.35s 2101.0 14.3 0.085 250 590683.51300csyfbhAmmf上部配筋取2222760sAmm,配筋率验算:min(0.25%,0.55/0.55 1.43/3000.26%)0.26%tyMAXff实际配筋率:,符合要求,其余梁配筋见表2.26。7601000.47%250 650sAbh表表4.14.1 第五层梁受拉钢筋计算第五层梁受拉钢筋计算 截面楼层计算公式梁AB梁BC五层A右跨中B左B右跨中C左()M kN m-115.10113.05-113.30-31.38-22.43-31.3821foscMf b h()21oscMf bh0.0920.0090.0910.0610.0430.06111 2s 0.0970.0090.0960.0630.0440.06310cfsyfb hAf()10csyfbhAf483.511000.76772.25684.18601.23684.18实配钢筋2B182B22+12B18+12B18+12B202B18+173B20B16B16B16实配钢筋面积5091075824710629710实际配筋率(%)0.470.390.470.310.310.31(%)min0.260.2150.260.260.2150.26续表4.1 截面楼层梁AB梁BC计算公式A右跨中B左B右跨中C左()M kN m-223.1076.66-211.19-35.53-6.74-35.5321foscMf b h()21oscMf bh0.179 0.006 0.170 0.069 0.013 0.069 11 2s 0.199 0.006 0.187 0.071 0.013 0.071 10cfsyfb hAf()10csyfbhAf899.80 1006.81 1216.40 1223.20 599.51 1223.20 实配钢筋2B252B22+1B201B20+2B251B20+2B252B201B20+2B25实配钢筋面积9821075129612966291296实际配筋率(%)0.970.960.970.40.404四层 min%0.260.2150.260.260.2150.26续表4.1 截面楼层计算公式梁AB梁BC三层A右跨中B左B右跨中C左()M kN m-288.6179.32-274.70-47.34-7.21-47.3421foscMf b h()21oscMf bh0.232 0.006 0.221 0.092 0.014 0.092 11 2s 0.268 0.006 0.253 0.096 0.014 0.096 7410cfsyfb hAf()10csyfbhAf882.61 920.97 1176.38 1136.28 563.69 936.28 实配钢筋2B252B22+1B201B20+2B251B20+2B252B201B20+2B25实配钢筋面积9821075129612966291296实际配筋率(%)1.160.311.160.630.630.63 min%0.260.2150.260.260.2150.26续表4.1 截面楼层梁AB梁BC计算公式A右跨中B左B右跨中C左()M kN m-354.6583.29-331.07-56.68-8.01-56.6821foscMf b h()21oscMf bh0.285 0.006 0.266 0.110 0.016 0.110 11 2s 0.344 0.006 0.316 0.117 0.016 0.117 10cfsyfb hAf()10csyfbhAf1020.23 1042.10 1621.37 1527.97 570.82 1527.97 实配钢筋1B20+2B221B20+2B223B20+2B223B20+2B222B203B20+2B22实配钢筋面积10751075170317036291703实际配筋率(%)1.550.311.550.630.630.63二层 min%0.260.2150.260.260.2150.26续表4.1 截面楼层计算公式梁AB梁BC一层A右跨中B左B右跨中C左()M kN m-400.7192.66-378.95-68.06-12.54-68.0621foscMf b h()21oscMf bh0.322 0.007 0.305 0.132 0.024 0.132 11 2s 0.403 0.007 0.375 0.142 0.025 0.142 7510cfsyfb hAf()10csyfbhAf1035.78 1092.02 1634.57 1642.61 611.37 1642.61 实配钢筋1B20+2B221B20+2B223B20+2B223B20+2B222B203B20+2B22实配钢筋面积10751075170317036291703实际配筋率(%)1.90.391.640.760.760.76 min%0.260.2150.260.260.2150.264.3 梁斜截面承载力计算梁斜截面承载力计算为避免梁在弯曲破坏前发生剪切破坏,应按“强剪弱弯”的原则调整框架梁端截面组合的剪力设计值。该框架梁的抗震等级为三级,框架梁端剪力设计值V应按下式进行调整,即:/lrvbbbnGbVMMlV梁端剪力增大系数,取1.1;Vb考虑地震作用组合时的重力荷载代表值产生的剪力设计值,可按简支梁计算确定。GbV表表4.24.2 梁端剪力梁端剪力“强剪弱弯强剪弱弯”调整调整层次跨vblbMkN mrbMkN mnl mGbVkNVkNreVkNAB1.144.8-115.36.192.63120.15102.135BC1.1-8.94-31.382.016.6533.9128.82AB1.1125.01-211.196.178135.78115.424BC1.117.67-35.532.014.9244.1837.55AB1.1196.50-274.706.178.27159.26135.373BC1.127.59-47.342.014.9256.1347.71AB1.1264.10-331.076.178.44180.73153.622BC1.137.12-56.682.014.9266.5156.53AB1.1321.08-378.956.178.73199.05169.191BC1.142.93-68.062.014.9275.9664.57注:1、承载力抗震调整系数0.85RE以顶层框架梁为例:对于AB跨,,630 120510whmm5102.044250whb,截面尺寸符合要0113.000.250.25 1.0 14.3 250 630563.06ccVkNf bhkN求。76三级抗震框架梁端加密区的长度取1.5h 和500mm 中的较大值,因此可得梁端加密区长度为950mm。根据抗震要求梁端加密区的箍筋取2 肢A8100,非加密区箍筋取2 肢A8200,箍筋采用HPB300 级(),则:270/yfN mm,可按构造配筋。 00.70.7 1.43 250 630157.66113cstVf bhkNkN00270 101 6300.70.7 1.43 250 630226.38113250yvsvcstf A hVf bhkNkNs箍筋设置满足要求。对于BC 跨,,380 120260whmm2601.044250whb,截面尺寸符合要026.420.250.25 1.0 14.3 250 380339.63ccVkNf bhkN求。三级抗震框架梁端加密区的长度取1.5h 和500mm 中的较大值,因此可得梁端加密区长度为650mm。梁端加密区的箍筋取2 肢A8100,非加密区箍筋取2 肢A8200,箍筋采用HPB300 级(),则:270/yfN mm,可按构造配筋。00.70.7 1.43 250 38095.126.42cstVf bhkNkN00270 101 3800.70.7 1.43 250 380136.5526.42250yvsvcstf A hVf bhkNkNs箍筋设置满足要求。综上所示,梁端加密区箍筋取2 肢A8100,非加密区箍筋取2 肢A8200。根据上面计算弯矩对梁进行配筋计算,计算过程及结果见表2.28表表4.24.2 梁斜截面钢筋计算梁斜截面钢筋计算梁AB梁BC截面楼层计算公式A右B左B右C左五层V108.13-113.0026.42-26.4200.25ccf bh563.06563.06339.63339.6300.7svcstoyvAVf bhsf h-0.29-0.26-0.67-0.67加密区实配箍筋A8100A8100A8100A8100加密区长度(mm)950950650650实配svAs0.400.400.670.67非加密区实配箍筋A8200A8200A8200A8200配筋率(%)svAbs(加密/非加密)0.27/0.160.27/0.160.270.27770.24(%)tyf f0.090.090.090.09续表4.2梁AB梁BC截面楼层计算公式A右B左B右C左V132.45-133.6143.23-43.2300.25ccf bh563.06563.06339.63339.6300.7svcstoyvAVf bhsf h-0.15-0.14-0.51-0.51加密区实配箍筋A8100A8100A8100A8100加密区长度(mm)950950650650实配svAs0.400.400.670.67非加密区实配箍筋A8200A8200A8200A8200配筋率(%)svAbs(加密/非加密)0.27/0.160.27/0.160.270.27四层0.24(%)tyf f0.090.090.090.09续表4.2梁AB梁BC截面楼层计算公式A右B左B右C左V156.73-158.4356.01-56.0100.25ccf bh563.06563.06339.63339.6300.7svcstoyvAVf bhsf h-0.010.00-0.38-0.38加密区实配箍筋A8100A8100A8100A8100加密区长度(mm)950950650650实配svAs0.400.400.670.67非加密区实配箍筋A8200A8200A8200A8200配筋率(%)svAbs(加密/非加密)0.27/0.160.27/0.160.270.27三层0.24(%)tyf f0.090.090.090.09续表4.2梁AB梁BC截面楼层计算公式A右B左B右C左78V179.19-181.2367.13-67.1300.25ccf bh563.06563.06339.63339.6300.7svcstoyvAVf bhsf h0.130.14-0.27-0.27加密区实配箍筋A8100A8100A8100A8100加密区长度(mm)950950650650实配svAs0.400.400.670.67非加密区实配箍筋A8200A8200A8200A8200配筋率(%)svAbs(加密/非加密)0.27/0.160.27/0.160.270.27二层0.24(%)tyf f0.090.090.090.09续表4.2梁AB梁BC截面楼层计算公式A右B左B右C左V197.82-200.4577.23-77.2300.25ccf bh563.06563.06339.63339.6300.7svcstoyvAVf bhsf h0.240.25-0.17-0.17加密区实配箍筋A8100A8100A8100A8100加密区长度(mm)950950650650实配svAs0.400.400.670.67非加密区实配箍筋A8200A8200A8200A8200配筋率(%)svAbs(加密/非加密)0.27/0.160.27/0.160.270.27一层0.24(%)tyf f0.090.090.090.094.4 柱的配筋计算柱的配筋计算(1)剪跨比和轴压比验算)剪跨比和轴压比验算根据内力组合和调整后的结果选出各控制截面内力设计值进行框架柱配筋计算。根据砼结构设计规范要求,柱剪跨比宜大于2,抗震等级为三级框架柱轴压比为0.85。79表表4.34.3 柱的轴压比及剪跨比计算柱的轴压比及剪跨比计算柱号楼层b(mm)0()h mm2(/)cfN mm柱净高HN(kN)0/2Hh0/cNf bh550045514.33250400.473.39 0.12 450045514.332501048.593.39 0.31 350045514.332501121.493.39 0.33 250045514.332501482.043.39 0.43 A柱150045514.345001852.504.69 0.54 550045514.33375424.673.52 0.12 450045514.33375911.553.52 0.27 350045514.333751398.753.52 0.41 250045514.333751886.163.52 0.55 B柱150045514.346252384.454.82 0.69 550045514.33375424.673.52 0.12 450045514.33375911.553.52 0.27 350045514.333751398.753.52 0.41 250045514.333751886.163.52 0.55 C柱150045514.346252384.454.82 0.69 550045514.33250400.473.39 0.12 450045514.332501048.593.39 0.31 350045514.332501121.493.39 0.33 250045514.332501482.043.39 0.43 D柱150045514.345001852.504.69 0.54 4.5 框架柱正截面承载力计算框架柱正截面承载力计算框架柱采用C30 等级砼;纵向钢筋采用HRB335 2214.3/,1.43/ctfN mmfN mm钢筋,箍筋采用钢筋HRB335钢筋,。为避免框架柱先于梁发生破坏,应按“强柱弱梁”的原则对框架柱的组合内力尽心调整。该框架梁的抗震等级为三级,框架柱弯矩设计值M,应按下式进行调整,即:ccbMM式中 对于三级框架结构取1.3;c 为节点左右梁端截面反时针或顺时针方向组合的弯矩设计值之和。bM79表表4.44.4 柱端弯矩抗震调整柱端弯矩抗震调整柱编号层号bMcMM上柱M下柱5115.10126.61 126.61 4223.10245.41 122.71 122.71 3288.61317.47 158.74 158.74 2354.65390.12 195.06 195.06 A1400.71440.78 251.25 189.54 5115.3126.83 115.30 4228.86251.75 125.87 125.87 3302.29332.52 166.26 166.26 2368.19405.01 202.50 202.50 B1421.88464.07 264.52 199.55 对于现浇楼板,框架结构底层柱和其余各层柱的计算长度等于1.0H 和1.25H。0l大偏压对称配筋公式为:。10100.5,csscysNef bx hxNxAAf bfha小偏压对称配筋公式:, 1021010100.43bcbccbsNf bhNef bhf bhha 1001 0.5ccssysNef b hAAfha以顶层A 柱为例计算:根据内力组合结果进行计算,现浇楼盖,框架结构底层的计算长度,其余各层柱:01.0lH01.25lH求控制截面弯矩设计值M:050040460hmm120.3 101.230.70.30.70.9153.31mMCM,取230.50.5 14.3 5005.581320.47 10ccf AN1c8022006234601.25 32501()1()11.05153.31 105001300()1300 (20)320.47 10nscahlMheN 20.9 1.05 153.31144.14mnsMCMkN m603144.14 10449.78,320.47 10MemmN500max(20,)2030aemm0449.7820469.78iaeeemm属于大偏心受压构件。00.55 14.3 500 4601808.95320.47bbcNf bhkNkN472.0925040682.092isheeamm31320.47 1044.821 14.3 500cNxmmf b1003220.5320.47 10682.09 1 14.3 500 44.82 (4600.5 44.82)300 (46040)6160.2%500cssysNef bx hxAAfhammbhmm 每边实配, 24 16804mmAs=As=804,其余层框架柱配筋计算结果见表2.312mm82表表4.54.5柱配筋计算柱配筋计算1M2MNmCc0l0/lhnsM0eaeieexsasA,minsA实配钢筋配筋率(%)柱编号kNmkNmkNmmkNmmmmmmmmmmmmmmm2mm2mm2A-5-153.31 101.23 320.47 0.90 1.00 4063.00 8.13 1.05 144.14 449.78 20.00 469.78 679.78 44.82 40.00 615.99 500.00 3B160.32A-4-179.95 156.39 625.41 0.96 1.00 4063.00 8.13 1.08 186.01 297.42 20.00 317.42 527.42 87.47 40.00 551.72 500.00 3B160.32A-3-211.38 212.02 920.40 1.00 1.00 4063.00 8.13 1.09 231.60 251.63 20.00 271.63 481.63 128.73 40.00 628.14 500.00 3B160.32A-2-239.22 240.26 1213.33 1.00 1.00 4063.00 8.13 1.11 265.66 218.95 20.00 238.95 448.95 169.70 40.00 710.69 500.00 3B160.32A-1-270.81 349.56 1511.69 0.93 1.00 4500.00 9.00 1.11 363.12 240.21 20.00 260.21 470.21 211.43 40.00 1390.75 500.00 3B160.61B-154.18 -118.19 340.57 0.93 1.00 4219.00 8.44 1.05 151.02 443.45 20.00 463.45 673.45 47.63 40.00 641.31 500.00 4B10.483561B-4190.03 -175.11 732.29 0.98 1.00 4219.00 8.44 1.09 202.28 276.23 20.00 296.23 506.23 102.42 40.00 566.29 500.00 4B160.41B-3228.94 -228.77 1128.69 1.00 1.00 4219.00 8.44 1.11 254.77 225.72 20.00 245.72 455.72 157.86 40.00 668.69 500.00 4B160.41B-2261.29 -265.33 1525.51 1.00 1.00 4219.00 8.44 1.13 298.43 195.63 20.00 215.63 425.63 213.36 40.00 875.42 500.00 4B160.41B-1294.86 -345.97 1934.68 0.96 0.92 4625.00 9.25 1.15 380.98 196.92 20.00 216.92 426.92 270.58 40.00 1569.49 500.00 4B160.61844.6 柱斜截面受剪计算柱斜截面受剪计算为保证弯曲破坏先与剪切破坏,剪力设计值应按“强剪弱弯”的原则进行调整,调整按下式进行:/tbvcccnVMMH式中:三级框架结构1.2vc分别为柱的上、下端顺时针或反时针方向截面的组合弯矩设计值;tbccMM、为柱的净高。nH表表4.64.6 柱剪力抗震调整柱剪力抗震调整=(+)/tbvcccnVMMH柱编号层号tcmaxMbcmaxMnHV上V下5-153.31101.233.2586.15 86.15 4-179.95156.393.25113.84 113.84 3-211.38212.023.25143.30 143.30 2-239.22240.263.25162.29 162.29 A柱1-270.81349.564.5151.65 151.65 5154.18-118.193.2592.19 92.19 4190.03-175.113.25123.59 123.59 3228.94-228.773.25154.92 154.92 2261.29-265.333.25178.24 178.24 B柱1294.86-345.974.5156.65 156.65 以首层A 柱为例:验算截面尺寸:由内力组合结果可知截面尺寸满足要求。0120.460.25429cVkNf bhkN验算截面是否需要按计算配筋:,不会发生偏心受压破坏。1511.690.72502.5cNkNf bhkN,取,取N=1072.5kN。4.69331511.690.31072.5cNkNf bhkN,可按构造配筋。031.751.75120.640.071.43 500 4801.03 1.00.07 1072.5 10225.22tVkNf bhNkN85,根据抗震设计要求取加密区箍筋为A8100(4),0120.640.7240.24tVkNf bhkN采用井字形箍筋。非加密区箍筋间距应满足不大于15d,故箍筋取A8200(4)。底层柱的柱根加密区长度应取不小于该层柱净高的1/3,以后的加密区范围是按柱长边尺寸(圆柱的直径)、楼层柱净高的1/6 及500mm 三者数值中的最大者为加密范围。因此可得底层柱刚性地面的加密区长度取1500mm,柱顶部加密区长度取500mm,其他层柱各加密区长度取500mm。综上,其余层柱箍筋配置详见表4.7。表表4.74.7 柱箍筋配筋计算柱箍筋配筋计算B-11934.68124.434.82 1072.50svAs1500A8100(4)A8200(4)0.2NV剪跨比0.3cf bhsvAs加密区长度加密区箍筋非加密区箍筋配箍率柱编号KNKNkNmm(%)A-5320.4765.273.39 1072.50svAs500A8100(4)A8200(4)0.2A-4625.41-86.243.39 1072.50svAs500A8100(4)A8200(4)0.2A-3920.40-109.103.39 1072.50svAs500A8100(4)A8200(4)0.2A-21213.33-122.953.39 1072.50svAs500A8100(4)A8200(4)0.2A-11511.69-120.464.69 1072.50svAs1500A8100(4)A8200(4)0.2B-5340.5769.843.52 1072.50svAs500A8100(4)A8200(4)0.2B-4732.2993.633.52 1072.50svAs500A8100(4)A8200(4)0.2B-31128.69117.373.52 1072.50svAs500A8100(4)A8200(4)0.2B-21525.51135.033.52 1072.50svAs500A8100(4)A8200(4)0.2855 板的设计板的设计5.1 板板区划分区划分 本次取标准层楼板进行计算,楼板厚度为100mm。将楼板划分了A板和B板两种板块,计算简图如图所示2.25。图5.1 板分区图5.2板配筋计算板配筋计算1、A区格板配筋区格板配筋87 按双向板计算4.8xLm7.2yLm/1.92yxLL (1)荷载设计值:恒荷载设计值:21.2 3.754.5/gkN m活荷载设计值:21.4 2.02.8/qkN m2/22.8/21.4/qkN m2/24.5 1.45.9/gqkN m24.52.87.3/gqkN m(2)内力计算:四边嵌固时弯矩计算系数:/0.52xyLL x方向系数=0.0394y方向系数=0.0045四边简支时弯矩计算系数:/0.52xyLL x方向系数=0.0936y方向系数=0.0188跨中:220.03940.2 0.00455.9 4.80.09360.2 0.01881.4 4.84.85/xMkN m m220.00450.2 0.03945.9 4.80.01880.2 0.09361.4 4.81.63/yMkN m m支座:20.0823 7.2 4.87.79/ xxMMkN m m 20.05704 7.2 4.85.4/ yyMMkN m m(3)截面设计:保护层d=20一级钢直径8 跨中截面有效高度:有效高度xL023 /2100203 8/268hhcdmm 有效高度yL01/2100208/276hhcdmm 支座处截面有效高度均为76mm,截面弯矩设计值不考虑折减。计算配筋量时,0h88取内力臂系数,板钢筋选用HPB300,计算结0.95sr 0/0.95SyAMh f2270N/yfmm果见表2.34表表5.15.1 A A区板配筋区板配筋A区板配筋计算位置截面h0(mm)M(kNm/m)As(mm2)选配钢筋实配钢筋lx方向964.85248.798200251跨中ly方向961.6383.628200251A边支座lx向96-7.79 399.618120419支座A边支座ly向96-5.40 277.0181802792、B区格板配筋区格板配筋 按双向板计算3.0xLm4.8yLm/1.92yxLL (1)荷载组合设计恒荷载设计值:21.2 3.754.5/gkN m活荷载设计值:21.4 2.02.8/qkN m2/22.8/21.4/pqkN m2/24.5 1.45.9/qgqkN m24.52.87.3/fgqkN m(2)内力计算/0.521xyLL 求跨中最大弯矩:,xym m作用下查表得时q0 22max0.03940.0394 5.9 3.63.01/xxmqlkN m m 22max0.00450.0045 5.9 3.60.344/yxmqlkN m m换算成时,可利用公式:1/63.010.344 1/63.067/xxymmmkN m m0.3443.01 1/60.846/yyxmmmkN m m作用下查表得时:p0220.05470.0547 1.4 3.60.992/xxmplkN m m89220.00890.0089 1.4 3.60.161/yxmplkN m m换算成时,可利用公式:1/60.9920.161 1/61.019/xxymmmkN m m0.1610.992 1/60.326/yyxmmmkN m m叠加后:3.067 1.0194.086/xMkN m m0.8460.3261.172/yMkN m m求支座中点固端弯矩:f作用下查表得220.08230.0823 7.3 3.67.786/xxmflkN m m 220.057040.05704 7.3 3.65.396/yxmflkN m m (3)截面设计:保护层d=20一级钢直径8 跨中截面有效高度:有效高度xL023 /2100203 8/268hhcdmm 有效高度yL01/2100208/276hhcdmm 支座处截面有效高度均为76mm,截面弯矩设计值不考虑折减。计算配筋量时,0h取内力臂系数,板钢筋选用HPB300,计算结0.95sr 0/0.95SyAMh f2270N/yfmm果见表2.35表表5.25.2 B B区板配筋区板配筋B区板配筋计算位置截面h0(mm)M(kNm/m)As(mm2)选配钢筋实配钢筋lx方向764.086209.608200251跨中ly方向761.17260.128200251A边支座lx向76-7.786399.408120419支座A边支座ly向76-5.396270.808180279896 楼梯设计楼梯设计6.1楼梯设计资料楼梯设计资料如图6.1所示的框架结构中双跑平行现浇板式楼梯的底层结构布置图,砼强度等级选用C30,钢筋直径d不小于12mm时采用2级钢筋,d不大于10mm时采用一级钢筋。图6.1 标准层楼梯结构布置图6.2楼梯梯段斜板设计楼梯梯段斜板设计91考虑到第一跑楼梯梯段斜板两端与砼楼梯梁的固结作用,斜板跨度可按净跨计算。对斜板取1m宽作为其计算单元。1、确定斜板厚度、确定斜板厚度t。斜板的水平投影净长 :13600nlmm斜板的斜向净长: 112236004024cos300/ 150300nnllmm斜板厚度:,取 111111 402716113425302530ntlmm:1130tmm2、荷载计算、荷载计算 表表6.16.1 楼梯梯段斜板荷载计算表楼梯梯段斜板荷载计算表 单位:单位:kN/m荷载种类荷载标准值栏杆自重0.2锯齿形斜板自重21( /2/cos)25 (0.15/20.13/0.849)5.51dt30厚水磨石面层1 1()/25 0.03 (0.150.3)/0.31.13c ede板底20厚的纸筋灰粉刷3 2/cos16 0.02/0.8940.36c恒荷载恒荷载合计g7.2活荷载q3.5注:1.为材料容重;123、2.e、d分别为踏步的宽和高;3.为楼梯踏步面层厚度,为板底粉刷厚度;1c2c4.为楼梯斜板的倾角;3、荷载效应组合、荷载效应组合由可变荷载效应控制的组合1.2 7.2 1.4 3.513.54/pkN m永久荷载效应控制的组合1.35 7.2 1.4 0.7 3.513.15/pkN m所
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