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黄河科技学院建工系教学楼设计-毕业设计计算书【可提供完整设计图纸】

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'XX学院毕业设计说明书第66页单位代码02学  号分类号TU密级毕业设计说明书xx科技学院建工系教学楼设计院(系)名称工学院建筑工程系专业名称土木工程学生姓名指导教师2014年5月17日摘要 XX学院毕业设计说明书第66页本次毕业设计的目的是对大学四年以来所学的知识进行一次系统的复习和总结,以检验四年来对专业知识的掌握程度,同时能进一步巩固和系统化所学的知识,为今后的学习工作打下良好的基础。本设计为XX学院建工系教学楼。该工程的建筑面积7235,共7层,一层层高为3.6m,二层以上层高为3.3m,结构形式为钢筋混凝土框架结构,抗震要求为7度设防。设计内容包括建筑设计和结构设计,结构设计时取第②轴横向框架进行计算。本论文包括以下内容:一结构方案的确定。二荷载计算,包括恒载、活载、风荷载和地震作用。三横向框架内力计算、内力组合及截面设计。四现浇板,楼梯和基础的计算。五结束语和参考文献。该设计具有以下特点:一在考虑建筑,结构要求的同时考虑了施工要求及可行性。二针对不同的荷载特点采用不同的计算方法,对所学知识进行了系统全面的复习。三框架计算中运用了理论公式计算又运用了当前工程设计中常用的近似计算方法。关键词:建筑设计结构设计钢筋混凝土框架结构荷载内力截面设计 XX学院毕业设计说明书第66页AbstractThisarticleistoexplainadesignofa7-storey-teachingbuildinginHuangheScienceandTechnologyshool.Thebuildingisreinforcedconcreteframestructure.willathelayersettleto3.3m,twoabovestoryhighoflayersessettleto3.3andthetotalareais7235squaremeters.Thethesisiswrittenforthewholeprocessofthecompletedesignprogram,includingthefollowingparts:1.Determinationofthestructure.2.ThecalculationofLoad,includingdeadload,liveload,windloadandearthquakeload.3.Interiorforcecalculationand,consitituteofthelateralframeandthecrosssectionsdesignofthecomponents.4.Thestructuraldesignoffoundation,stairandslabs.5.Theendwordsandthereferences.Thethesisisofsomeowncharacters:1.Withtheconsiderationofarchitectureandstructurerequirements,italsoconsiderstheconstructionrequirementsandfeasibility.2.Itappliesdifferentmethodsofstructuralcalculation,aimingtodifferentloads.3.Itappliestheoriesformulationandpracticalformulationinthecalculationofcertainframework.Keywords:architecturaldesignstructuraldesignreinforcedconcreteframestructureloadinteriorforcecrosssections’design XX学院毕业设计说明书第66页目录摘要IABSTRACTII1工程概况11.1工程概述11.2结构设计依据11.3材料选用12建筑设计22.1建筑平面设计22.2建筑立面设计22.3屋顶设计23结构方案的选择及结构布置43.1结构方案43.2结构布置43.3柱网尺寸及层高53.4梁、柱截面尺寸的初步确定53.5楼板选择63.6结构横向框架的计算简图64竖向荷载作用下的内力计算74.1计算单元:74.2恒荷载计算74.3活荷载计算114.4恒荷载作用下的内力计算124.5活荷载作用下的内力计算235横向荷载作用下的内力计算325.1横向框架侧移刚度的计算325.2重力荷载代表值的计算372 XX学院毕业设计说明书第66页5.3横向水平地震荷载作用下框架结构的内力和侧移计算435.4横向风荷载作用下框架结构内力和侧移计算536内力调整596.1竖向荷载作用下的梁端弯矩调幅596.2框架梁内力折算至柱边606.3柱的内力调整637内力组合及截面设计667.1内力组合667.2截面设计758楼板设计908.1楼板类型及设计方法的选择:908.2设计参数908.3弯矩计算918.4截面设计959楼梯设计989.1设计资料989.2梯段板设计989.3平台板设计1009.4平台梁的设计10110基础设计10310.1设计资料10310.2设计计算103参考文献106致谢1072 XX学院毕业设计说明书第66页1工程概况1.1工程概述建筑地点:郑州市XX科技学院南校区建筑类型:七层教学楼,现浇框架填充墙结构。工程简介:场地面积为45×35m2左右,拟建建筑面积约7000m2。楼盖及屋盖均采用钢筋混凝土框架结构,现浇楼板厚度取为100mm,填充墙采用200厚蒸压粉煤灰加气混凝土砌块。基础采用柱下独立基础。门窗使用:大门采用玻璃门,其它的为木门,一般门洞尺寸为1200mm2100mm,窗全部为铝合金窗,高为1.5mm地质条件:经过地质勘探部门的确定,拟建场地土类型为中软场地土,II类建筑场地,地震设防烈度为7度。1.2结构设计依据建筑抗震设计规范GB50011-2012建筑地基基础设计规范GB50007-2012混凝土结构设计规范GB50010-2012建筑结构荷载规范GB50009-2012建筑结构制图标准GB/T50105-2010建筑制图标准GB/T50104-2010建筑构、配件标准图集1.3材料选用1、柱:采用C30混凝土,主筋采用HRB400钢筋,箍筋采用HPB300钢筋;2、梁:采用C30混凝土,主筋采用HRB400钢筋,箍筋采用HPB300钢筋;3、板:采用C30混凝土,钢筋采用HRB335;4、基础:采用C20混凝土,主筋采用HRB335钢筋,构造钢筋采用HPB300钢筋。1 XX学院毕业设计说明书第66页2建筑设计2.1建筑平面设计建筑平面设计主要应考虑建筑物所处的环境及其功能要求,同时又要兼顾结构平面布置的规则和合理;此外,考虑到抗震设计的一些要求,建筑物应力求规则。具体布置见建筑平面图。对该平面设计作如下说明:1、本设计柱网上采用8.4×7.2和4.2×3.0m。2、采用了内廊式结构布置。中间走道宽3.0m,以满足人流要求。同时设有两部楼梯,兼做消防楼梯。2.2建筑立面设计结合平面设计中框架柱的布置,立面上主要采用竖向划分,外观上显得大方、挺拔、气派;同时,考虑到框架结构的优点,柱间尽量多用窗少用墙,使窗与柱及窗间墙之间形成了有节奏的虚实对比,显得明快、活泼,同时也得到了良好的采光效果。2.3屋顶设计屋顶采用现浇混凝土结构平屋顶,屋顶设计为上人屋顶,檐口采用1.2m高女儿墙。屋顶还有一个突出的上人出口。1.排水构造:屋面排水采用保温层找坡,坡度取2%,设计为外排水。2.保温构造:采用120厚的水泥珍珠岩保温。6 XX学院毕业设计说明书第66页6 XX学院毕业设计说明书第66页3结构方案的选择及结构布置3.1结构方案该教学楼主体结构采用钢筋混凝土现浇框架结构形式。框架结构抗震性能好,整体性好,建筑平面布置灵活,可以用隔断墙分割空间,以适应不同的使用功能的要求。正是基于这些优点,目前框架结构在办公楼、教学楼、商场、住宅等房屋建筑中广泛采用。3.2结构布置楼板的均布活载和恒载间接或直接传至框架梁,再由框架梁传至框架柱,最后传至地基。建筑的三分之一处均设有楼梯,有两部电梯,以解决垂直交通问题。结构布置图见图2.1:图2.1框架结构平面布置图3.3柱网尺寸及层高本教学楼采用纵向柱距为8.4m横向边跨为7.2m,中跨为3m的内廊式框架,6 XX学院毕业设计说明书第66页一层层高为3.6m,一层以上层高3.3m。3.4梁、柱截面尺寸的初步确定3.4.1梁的截面尺寸的初步确定梁截面的高度:一般取为梁跨度的1/12~1/8。横向框架梁:边跨:取h=l/8~l/12=600~900mm,取为600mm,宽b为300mm。中跨:取h=600mm,b=300mm。纵向框架梁:取h=l/8~l/12=700~1050mm,取为750mm,宽b为300mm。次梁:取h=l/14~l/18=400~514,取为400mm,宽b为200mm3.4.2柱的截面尺寸的初步确定框架柱的面积根据柱的轴压比确定:1、柱组合的轴压力设计值N=nβFgE注:n——楼层层数。β——柱轴压力增大系数,边柱取1.3,不等跨内柱取1.25,等跨内柱取1.2。F——算柱的负载面积。gE——建筑面积上的重力荷载代表值,可近似的取14kN/m2。2、柱的截面尺寸Ac≥N/(mNfc)注:mN——轴压比限值,按三级抗震等级,查《抗震规范》可知取为0.9。fc——轴心抗压强度设计值,对C30,查得14.3N/mm2。对于边柱:Ac≥N/(mNfc)=1.3×8.4×3.6×14×103×7/0.9×14.3=299345.45对于中柱:Ac≥N/(mNfc)=1.25×8.4×5.1×14×103×7/0.9×14.3=349161.6取柱子尺寸为:6 XX学院毕业设计说明书第66页b×h=600mm×600mm3.5楼板选择板的厚度取l/40=4200/40=105mm,故本设计中所有楼板均采用现浇板,板厚均为100mm。3.6结构横向框架的计算简图本框架结构采用柱下独立基础,选粉质粘土为地基持力层,基础顶面到室内地面0.8m。横向框架的计算简图见下图所示,取顶层柱的形心线作为轴线,2~7层柱的高度取为3.3m,底层柱的高度从基础顶面至楼板,h1=3.6+0.8=4.4m。图2.2横向框架计算简图6 XX学院毕业设计说明书第66页4竖向荷载作用下的内力计算4.1计算单元:取②轴线处的横向框架为计算单元。4.2恒荷载计算恒荷载作用下各层框架梁上的荷载分布如下图所示:图3.2各层梁上作用的恒荷载4.2.1屋面框架梁线荷载标准值屋面(上人屋面)屋面恒荷载标准值3.02kN/m2100厚现浇钢筋混凝土0.1×25=2.5kN/m2V型轻钢龙骨吊顶0.25kN/m2(二层9mm纸面石膏板、有厚50mm的岩棉板保温层)合计5.77kN/m2边跨框架梁自重0.3×0.6×25=4.5kN/m2梁外侧粉刷(0.6-0.1)×0.02×17=0.17kN/m2中跨框架梁自重0.3×0.6×25=4.5kN/m2对于第7层:q1和代表横梁自重,为均布荷载形式。q1=0.3×0.6×25+(0.6-0.1)×0.02×17=4.67kN/m2=0.3×0.6×25+(0.6-0.1)×0.02×17=4.67kN/m2107 XX学院毕业设计说明书第66页q2和分别为屋面板和走道板传给横梁的梯形荷载和三角形荷载。q2=5.77×4.2=24.23kN/m=5.77×3=17.31kN/m4.2.2屋面框架节点集中荷载标准值P1、P2分别由边纵梁、中纵梁直接传给柱的恒载,它包括主梁自重、次梁自重、楼板重等重力荷载,计算如下:边柱纵向框架梁自重0.3×0.75×4.2×25=23.625kN外侧粉刷0.02×0.5×4.2=0.04kN1.2m高女儿墙自重1.2×4.2×0.2×5.5=5.54kN装饰4.2×1.2×0.5+4.2×(1.2+0.2)×0.02×17=4.52kN梁传来的屋面自重0.5×4.2×0.5×4.2×5.77=25.45kNP1=23.625+0.04+5.54+4.52+25.45=59.175kN中柱纵向框架梁自重0.3×0.75×4.2×25=23.625kN框架梁传来的屋面自重0.5×(42+4.2-3)×1.5×5.77=23.37kN0.5×4.2×0.5×4.2×5.77=25.45kNP2=23.625+23.37+25.45=72.445kN集中力矩:M1=P1e1=59.175×(0.5-0.3)/2=5.13kN·mM2=P2e2=72.445×(0.5-0.3)/2=6.46kN·m4.2.3二到六层线荷载标准值包括梁自重和其上横墙自重,为均布荷载,其荷载的计算方法同第7层。30厚防滑地砖0.70kN/m2100厚现浇钢筋混凝土0.10×25=2.5kN/m2V型轻钢龙骨吊顶0.25kN/m2合计3.45kN/m2边跨框架梁及梁侧粉刷4.67kN/m2107 XX学院毕业设计说明书第66页边跨填充墙自重0.25×(3.9-0.6)×5.5=4.54kN/m2内墙装饰(3.9-0.6)×2×0.02×17=2.24kN/m2中跨框架梁及梁侧粉刷4.67kN/m2q1=4.67+4.54+2.24=11.45kN/m2=4.67kN/m2q2和分别为楼面板和走道板传给横梁的梯形荷载和三角形荷载。q2=3.45×4.2=14.49kN/m=3.45×3=10.35kN/m4.2.4二到六层框架节点集中荷载标准值边柱纵向框架梁自重23.625kN外侧粉刷0.04kN钢框玻璃窗自重3.0×2.4×0.4=2.88kN窗下墙体自重0.2×1.0×(4.2-0.45)×5.5=4.13kN装饰0.02×1.0×3.75×17+0.5×1.0×4.2=3.38kN窗间墙体自重(1.2-0.45)×(3.9-0.5-1.0)×0.2×5.5=1.98kN装饰(1.2-0.45)×(3.9-0.5-1.0)×0.02×17+1.2×2.4×0.5=2.05kN框架柱的自重0.6×0.6×3.6×25=21.94kN粉刷[(0.45+0.50)×2-0.2×2-0.2-0.45]×0.02×3.9×17=1.13kN纵向框架梁传来的楼面自重0.5×4.2×0.5×4.2×3.45=15.21kNP1=15.75+0.04+2.88+4.13+3.38+1.98+2.05+21.94+1.13+15.21=74.00kN中柱纵向框架梁自重15.75kN内纵墙自重(3.6-0.45)×(3.6-0.5)×0.2×5.5=10.74kN粉刷(3.6-0.45)×(3.6-0.5)×2×0.02×17=6.64kN扣除门洞重加上门重-2×2.4×1.2×(1.78-0.2)=-9.10kN框架柱自重21.94kN107 XX学院毕业设计说明书第66页粉刷[(0.45+0.50)×2-0.2×2-0.2]×0.02×3.9×17=1.72kN纵向框架梁传来的屋面自重0.5×(4.2+4.2-3)×1.5×3.45=13.97kN0.5×4.2×0.5×4.2×3.45=15.21kNP2=15.75+10.74+6.64-9.10+21.94+1.72+13.97+15.21=76.87kN集中力矩M1=P1e1=74.00×(0.5-0.3)/2=7.40kN·mM2=P2e2=76.87×(0.5-0.3)/2=7.69kN·m4.2.5一层框架以下的荷载边柱纵向框架梁自重15.75kN钢框玻璃窗自重3.0×2.4×0.4=2.88kN窗下墙体自重0.2×1.0×(4.2-0.5)×5.5=4.07kN装饰0.02×1.0×3.7×17+0.5×1.0×4.2=3.36kN窗间墙体自重(1.2-0.5)×(3.9-0.5-1.0)×0.2×5.5=1.85kN装饰(1.2-0.45)×(3.9-0.5-1.0)×0.02×17+1.2×2.4×0.5=2.05kN框架柱的自重0.5×0.55×5.4×25=37.13kN粉刷[(0.5+0.55)×2-0.2×2-0.2-0.5]×0.02×5.4×17=1.84kNP1=15.75+2.88+4.07+3.36+1.85+2.05+37.13+1.84=68.89kN中柱纵向框架梁自重15.75kN内纵墙自重(4.2-0.45)×(3.9-0.5)×0.2×5.5=14.03kN粉刷(4.2-0.45)×(3.9-0.5)×2×0.02×17=8.67kN扣除门洞重加上门重-2×2.4×1.2×(1.78-0.2)=-9.10kN框架柱自重37.13kN粉刷[(0.5+0.55)×2-0.2×2-0.2]×0.02×5.4×17=2.75kNP2=15.75+14.03+8.67-9.10+37.13+2.75=69.23kN107 XX学院毕业设计说明书第66页4.3活荷载计算图3.3各层梁上作用的活荷载4.3.1第7层上的活载计算q2=2.0×4.2=8.4kN/m2=2.0×3.0=6.0kN/m2P1=0.5×4.2×0.5×4.2×2.0=8.82kN/m2P2=[0.5×(4.2+4.2-3.0)×1.5+0.25×4.2×4.2]×2.0=16.92kN/m2集中力矩:M1=P1e1=8.82×(0.5-0.3)/2=0.88kN·mM2=P2e2=16.92×(0.5-0.3)/2=1.69kN·m同理,在屋面雪荷载的作用下:q2=0.47×4.2=1.97kN/m2=0.47×3.0=1.41kN/m2P1=0.5×4.2×0.5×4.2×0.47=2.07kN/m2P2=[0.5×(4.2+4.2-3.0)×1.5+0.25×4.2×4.2]×0.47=3.98kN/m2集中力矩:M1=P1e1=2.07×(0.5-0.3)/2=0.21kN·mM2=P2e2=3.98×(0.5-0.3)/2=0.40kN·m4.3.2第1-6层上的活载计算q2=2.0×4.2=8.4kN/m2=2.5×3.0=7.5kN/m2P1=0.5×4.2×0.5×4.2×2.0=8.82kN/m2P2=0.5×(4.2+4.2-3.0)×1.5×2.5+0.25×4.2×4.2×2.0=18.95kN/m2集中力矩:107 XX学院毕业设计说明书第66页M1=P1e1=8.82×(0.5-0.3)/2=0.88kN·mM2=P2e2=19.95×(0.5-0.3)/2=1.90kN·m将计算结果汇总如下两表:表3.1横向框架恒载汇总表层次q1(kN/m)(kN/m)q2(kN/m)(kN/m)P1(kN)P2(kN)M1(kN·m)M2(kN·m)74.674.6724.2317.3151.3064.575.136.461~611.454.6714.4910.3574.0076.877.407.69表3.2横向框架活载汇总表层次q2(kN/m)(kN/m)P1(kN)P2(kN)M1(kN·m)M2(kN·m)78.406.08.8216.920.881.691~68.47.58.8218.950.881.90注:表中括号内数值对应于屋面雪荷载作用情况。4.4恒荷载作用下的内力计算(用力矩二次分配法计算恒载作用下框架的弯矩)4.4.1杆的等效荷载计算将梯形或三角形分布荷载按固端弯矩等效的原则折算成均布荷载:图3.4竖向荷载等效梯形荷载折算公式:其中:;为梯形分布荷载的最大值。三角形荷载折算公式:其中:为三角形分布荷载的最大值。a、顶层边跨:107 XX学院毕业设计说明书第66页b、顶层中跨:c、中间层边跨:d、中间层边跨:表3.3横向框架恒载的等效均布荷载层次q1(kN/m)(kN/m)q2(kN/m)(kN/m)qb(kN/m)qz(kN/m)74.674.6724.2317.3127.4415.491~611.454.6714.4910.3525.0711.144.4.2杆的固端弯矩的计算由以上所求均布荷载,可按下式求各杆固端弯矩:两端固支:其中与意义见下图:一端固支,一端滑动固支:,其中与意义见下图:图3.5固端弯矩示意图图3.6固端弯矩示意图由此,可计算各个杆件固端弯矩,标绘于计算简图上。107 XX学院毕业设计说明书第66页4.4.3分配系数分配系数计算公式:其中:为转动刚度,两端固支杆,一端固支,一端滑动固支杆n为该节点所连接的杆件数。线刚度的计算见下表:表3.4梁线刚度的计算跨度(m)EcI0I=2I0ib=EI/L7.23×1075.40×10-31.08×10-24.50×1043.03×1075.40×10-31.08×10-210.8×104表3.5柱线刚度的计算层次柱截面(mm×mm)高度(m)EcIiz=EI/L2~7600×6003.33×1074.69×10-33.61×1041600×6004.43×1076.93×10-33.85×104由此计算出各个杆件分配系数,标绘于计算简图上。然后利用力矩二次分配法计算第②轴框架杆端弯矩。注:图中单线条表示分配结束,虚线框内表示固端弯矩,双线条表示最终杆端弯矩。节点外弯矩以顺时针为正,逆时针为负,标绘于计算简图上。107 XX学院毕业设计说明书第66页4.4.4计算过程图3.7弯矩二次分配法的计算过程107 XX学院毕业设计说明书第66页4.4.5跨中弯矩的计算跨中弯矩的计算如下计算:对于第七层的CD跨和DE跨:MDE=43.04kN·m(二次分配法的滑动端弯矩)同理,可计算出其他的跨中弯矩计算,结果见下表:表3.6恒荷载作用下的跨中弯矩层号CD跨DE跨7-87.3243.046-63.9023.735-66.2424.904-66.2424.903-66.2424.902-66.3024.471-70.1527.40恒荷载作用下的弯矩图如下所示:107 XX学院毕业设计说明书第66页图3.8恒荷载作用下的弯矩图107 XX学院毕业设计说明书第66页4.4.6梁端剪力图3.9梁端剪力示意图下面以恒载作用下,第7层梁端剪力为例,说明计算过程第7层框架梁边跨CD的梁端弯矩为-71.68kN·m和109.30kN·m。根据公式。计算梁端剪力:第7层框架梁边跨DE的梁端弯矩为-60.46kN·m和60.46kN·m。根据公式。计算梁端剪力。同理可以计算出其它的梁端剪力,结果如下:107 XX学院毕业设计说明书第66页表3.7恒载作用下轴线处梁端剪力梁类型层号梁长(m)外荷载q(kN/m)固端弯矩(kN·m)杆端剪力(kN)左右左右边梁77.227.44-71.68109.3093.56-104.0167.225.07-92.69104.4288.62-91.8857.225.07-88.96103.4588.24-92.2647.225.07-88.96103.4588.24-92.2637.225.07-88.96103.4588.24-92.2627.225.07-88.84103.4188.23-92.2817.225.07-83.64100.9787.85-92.66中跨73.015.49-60.4660.4623.24-23.2463.011.14-36.2636.2616.71-16.7153.011.14-37.4337.4316.71-16.7143.011.14-37.4337.4316.71-16.7133.011.14-37.4337.4316.71-16.7123.011.14-37.4737.4716.71-16.7113.011.14-39.9339.9316.71-16.714.4.7柱的杆端剪力已知柱的两端弯矩,且柱高范围内无其他横向力。可以根据以下公式计算柱的杆端剪力:表3.8恒载作用下轴线处柱端剪力柱类型层号柱高(m)固端弯矩杆端剪力上下上下C轴柱73.366.5547.49-29.24-29.2463.337.7940.78-20.15-20.1553.340.7840.78-20.91-20.9143.340.7840.78-20.91-20.9133.340.7840.88-20.94-20.9423.340.5744.91-21.92-21.9214.431.3315.66-8.70-8.70D轴柱73.3-42.38-32.0819.0919.0963.3-28.38-29.1614.7514.7553.3-29.16-29.1614.9514.9543.3-29.16-29.1614.9514.9533.3-29.16-29.1914.9614.9623.3-29.06-30.8415.3615.3614.4-22.51-11.266.256.25恒荷载作用下的剪力图如下所示:107 XX学院毕业设计说明书第66页图3.10恒荷载作用下的剪力图107 XX学院毕业设计说明书第66页4.4.8轴力计算根据配筋计算需要,只需求出柱的轴力即可,而不需求出梁轴力。以第七层框架柱边柱(C柱)的柱端剪力:柱顶轴力:上部结构传来的轴力:P1=51.30kN轴力:N=51.30+93.56=144.86kN柱底轴力:上部结构传来的轴力:P=51.30+21.94+1.13=74.37kN轴力:N=74.37+93.56=167.93kN第七层框架柱中柱(D柱)的柱端剪力:柱顶轴力:上部结构传来的轴力:P2=64.57kN柱顶轴力:N=64.57+104.01+23.24=191.82kN柱底轴力:上部结构传来的轴力:P=64.57+21.94+1.13=87.64kN柱底轴力:N=87.64+23.24+104.01=214.89kN其他层梁端剪力和柱轴力见下表:表3.9恒载作用下柱中轴力柱类型层号柱顶集中力(kN)邻梁剪力(kN)柱中轴力(kN)左梁右梁柱顶柱底C柱751.30093.56144.86167.93674.00088.62307.48353.62574.00088.24469.72538.93474.00088.24631.96724.24374.00088.24794.20909.55274.00088.23956.431094.85174.00087.851118.271325.58D柱764.57104.0123.24191.81214.88676.8791.8816.71377.28423.42576.8792.2616.71563.12632.33476.8792.2616.71748.96841.24376.8792.2616.71934.811050.16276.8792.2816.711120.661259.08176.8792.6616.711306.901514.55恒荷载作用下的轴力图如下所示:107 XX学院毕业设计说明书第66页图3.11恒荷载作用下的轴力图107 XX学院毕业设计说明书第66页4.5活荷载作用下的内力计算4.5.1计算杆固端弯矩:将梯形或三角形分布荷载按固端弯矩等效的原则折算成均布荷载:梯形荷载折算公式:其中:;为梯形分布荷载的最大值。三角形荷载折算公式:其中:为三角形分布荷载的最大值。a、顶层边跨:b、顶层中跨:c、中间层边跨:d、中间层中跨:等效均布活荷载汇总于下表:表3.10横向框架活载的等效均布荷载层号q2q‘2qbqz78.46.07.183.751~68.47.57.184.694.5.2计算固端弯矩由以上所求均布荷载,可按下式求各杆固端弯矩:107 XX学院毕业设计说明书第66页两段固支:其中与意义见下图:一端固支,一端滑动固支:,其中与意义见下图:图3.12固端弯矩示意图图3.13固端弯矩示意图由此,可计算各个杆件固端弯矩,标绘于计算简图上。4.5.3分配系数分配系数计算公式:其中:为转动刚度,两端固支杆,一端固支,一端滑动固支杆n为该节点所连接的杆件数。由此计算出各个杆件分配系数,标绘于计算简图上。然后利用力矩二次分配法计算第②轴框架杆端弯矩。注:图中单线条表示分配结束,虚线框内表示固端弯矩,双线条表示最终杆端弯矩。节点外弯矩以顺时针为正,逆时针为负,标绘于计算简图上。107 XX学院毕业设计说明书第66页4.5.4计算过程图3.14弯矩二次分配法计算过程107 XX学院毕业设计说明书第66页4.5.5跨中弯矩的计算方法同恒荷载作用下的跨中弯矩计算。表3.11活荷载作用下的跨中弯矩层号CD跨EF跨7-22.7811.466-18.496.175-19.006.444-19.006.443-19.006.442-19.026.451-20.147.13活荷载作用下的弯矩图如下图所示:107 XX学院毕业设计说明书第66页图3.15活荷载作用下的弯矩图107 XX学院毕业设计说明书第66页4.5.6梁端剪力计算方法与荷载的相同。表3.12活载作用下轴线处梁端剪力梁类型层号梁长(m)外荷载q固端弯矩杆端剪力(kN)左右左右边梁77.27.18-18.8428.6624.48-27.2167.27.18-25.8830.1925.25-26.4557.27.18-25.0829.9725.17-26.5347.27.18-25.0829.9725.17-26.5337.27.18-25.0829.9725.17-26.5327.27.18-25.0529.9625.17-26.5317.27.18-23.4929.2825.04-26.65中跨73.03.75-15.6715.675.63-5.6363.04.69-11.4511.457.04-7.0453.04.69-11.7111.717.04-7.0443.04.69-11.7111.717.04-7.0433.04.69-11.7111.717.04-7.0423.04.69-11.7311.737.04-7.0413.04.69-12.4012.407.04-7.044.5.7柱的杆端剪力方法同恒荷载作用下的计算。表3.13活载作用下轴线处柱端剪力柱类型层号柱高(m)固端弯矩杆端剪力上下上下C轴柱73.317.9613.53-8.07-8.0763.311.4712.10-6.04-6.0453.312.1012.10-6.21-6.2143.312.1012.10-6.21-6.2133.312.1012.13-6.21-6.2123.312.0413.34-6.51-6.5114.49.284.64-2.58-2.58D轴柱73.3-11.30-8.845.165.1663.3-8.00-8.184.154.1553.3-8.18-8.184.194.1943.3-8.18-8.184.194.1933.3-8.18-8.194.204.2023.3-8.15-8.644.314.3114.4-6.34-3.171.761.76活荷载作用下的剪力图如下图所示:107 XX学院毕业设计说明书第66页图3.16活荷载作用下的剪力图107 XX学院毕业设计说明书第66页4.5.8轴力计算计算方法同恒荷载,没有柱子的轴力,柱中轴力沿柱子不变。表3.14活载作用下柱中轴力柱类型层号柱顶集中力(kN)邻梁剪力(kN)柱中轴力(kN)左梁右梁C柱78.82024.4833.3068.22025.2566.7758.22025.17100.1648.22025.17133.5538.22025.17166.9428.22025.17200.3218.22025.04233.59D柱716.9227.215.6349.76618.9526.457.04102.19518.9526.537.04154.70418.9526.537.04207.21318.9526.537.04259.73218.9526.537.04312.24118.9526.657.04364.88活荷载作用下的轴力图如下所示:107 XX学院毕业设计说明书第66页图3.17活荷载作用下柱的轴力图107 XX学院毕业设计说明书第66页5横向荷载作用下的内力计算5.1横向框架侧移刚度的计算5.1.1横梁线刚度ib的计算表4.1横梁线刚度类别Ec(104N/mm2)b×h(mm×mm)I0(109mm4)l(mm)EcI0/l(1010N·mm)1.5EcI0/l(1010N·mm)2EcI0/l(1010N·mm)边跨3.0300×6005.4072002.253.3754.50中跨3.0300×6005.4030005.408.1010.805.1.2柱线刚度ic的计算表4.2柱的线刚度层次hc(mm)Ec(104N/mm2)b×h(mm×mm)Ic(109mm4)EcIc/hc(1010N·mm)144003.0600×6006.933.852~633003.0600×6004.693.615.1.3柱的侧移刚度的计算1、中框架柱侧移刚度计算边柱:底层αc=(0.5+K)/(2+K)=0.257D=αc×12×ic/h2=0.257×12×3.85×1010/54002=8350N/mm2~7层αc=K/(2+K)=0.384D=αc×12×ic/h2=0.384×12×3.61×1010/39002=10936N/mm107 XX学院毕业设计说明书第66页中柱:底层αc=(0.5+K)/(2+K)=0.749D=αc×12×ic/h2=0.749×12×3.85×1010/54002=11865N/mm2~7层αc=K/(2+K)=0.679D=αc×12×ic/h2=0.679×12×3.61×1010/39002=19350N/mm图4.1中框架柱的侧移刚度计算简图2、边框架柱侧移刚度边柱:底层:αc=(0.5+K)/(2+K)=0.479D=αc×12×ic/h2=0.479×12×3.85×1010/54002=7582N/mm2~7层αc=K/(2+K)=0.319107 XX学院毕业设计说明书第66页D=αc×12×ic/h2=0.319×12×3.61×1010/39002=9073N/mm中柱:底层:αc=(0.5+K)/(2+K)=0.699D=αc×12×ic/h2=0.699×12×3.85×1010/54002=11072N/mm2~7层αc=K/(2+K)=0.614D=αc×12×ic/h2=0.614×12×3.61×1010/39002=17482N/mm图4.2边框架柱的侧移刚度计算简图(3)楼梯电梯间柱子的侧移刚度C-4,C-8,C-9底层:αc=(0.5+K)/(2+K)=0.736D=αc×12×ic/h2=0.736×12×3.85×1010/54002=11661N/mm2~7层107 XX学院毕业设计说明书第66页αc=K/(2+K)=0.663D=αc×12×ic/h2=0.663×12×3.61×1010/39002=18870N/mmC-5底层:αc=(0.5+K)/(2+K)=0.722D=αc×12×ic/h2=0.722×12×3.85×1010/54002=11434N/mm2~7层αc=K/(2+K)=0.644D=αc×12×ic/h2=0.644×12×3.61×1010/39002=18336N/mmD-4,D-8,D-9与边框架边柱相同。D-5底层:αc=(0.5+K)/(2+K)=0.420D=αc×12×ic/h2=0.420×12×3.85×1010/54002=6648N/mm2~7层0.623107 XX学院毕业设计说明书第66页αc=K/(2+K)=0.238D=αc×12×ic/h2=0.238×12×3.61×1010/39002=6767N/mm图4.3楼电梯间处柱的侧移刚度计算简图根据以上计算,总结如下:表4.3中框架柱侧移刚度D值层号边柱(18根)中柱(18根)∑DKacDKacD11.1690.52783503.9740.749118653638702~71.2470.384109364.2380.67919350545148107 XX学院毕业设计说明书第66页表4.4边框架柱侧移刚度D值层号边柱(4根)中柱(4根)∑DKacDKacD10.8770.47975822.9810.69911072746162~70.9350.31990733.1790.61417482106220表4.5C柱处楼梯电梯间框架住侧移刚度D值层号C-4,C-8,C-9C-5∑DKacDKacD13.6820.7361166113.390.722114343612672~73.9270.663188703.6150.6441833674946表4.6D柱处电梯楼梯间框架住侧移刚度D值层号D-4,D-8,D-9D-5∑DKacDKacD10.8770.47975820.5840.426648293942~70.9350.31990730.6230.238676733986将上面不同情况下同层框架柱侧移刚度相加,即可得框架各层层间侧移刚度见下表表4.7横向框架横向侧移刚度层号1234567829147760300760300760300760300760300760300由上表可知:∑D1/∑D2=829147/760300=1.091>0.7,故该框架为规则框架。5.2重力荷载代表值的计算5.2.1资料准备屋面及楼面恒荷载标准值屋面永久荷载标准值5.77kN/m21~6层楼面3.45kN/m2屋面及楼面可变荷载标准值:上人屋面均布活荷载标准值2.0kN/m2楼面活荷载标准值2.0kN/m2走廊楼面活荷载2.5kN/m2屋面雪荷载标准值sk=ur×s0=1.0×0.47=0.47kN/m2梁,柱的密度25kN/m2蒸压粉煤灰加气混凝土砌5.5kN/m2107 XX学院毕业设计说明书第66页5.2.2代表值的计算1、梁及粉刷重力荷载标准值的计算表4.8梁重计算层号类别净跨(mm)截面(mm)密度(KN/m3)体积(m3)数量(根)单重(kN)总重(kN)1横梁6600300×600251.202629.93778.052400300×600250.431311.03143.33纵梁3600300×750250.564813.88666.002~7横梁6600300×600251.212630.15783.902400300×600250.451311.25146.25纵梁3600300×750250.564814.06675.00梁的粉刷:因为采用了V型轻钢龙骨吊顶,所以除了边梁,其它的梁都可以不用粉刷。而边梁外侧贴瓷砖。底层:横向:4×6.64×0.6×0.5=7.89kN2×2.45×0.6×0.5=1.47kN纵向:24×3.7×0.5×0.5=22.2kN合计:31.65kN2~7层:横向:4×6.7×0.6×0.5=8.04kN2×2.5×0.6×0.5=1.5kN纵向:24×3.75×0.5×0.5=22.5kN合计:32.04kN2、柱及粉刷重力荷载标准值的计算表4.10柱重计算层号计算高度截面密度体积数量单重总重13300600×600251.075226.811394.252~74400600×600251.225230.381579.50柱的粉刷:1层:外侧柱:[(0.6+0.6)×2-0.2×3-0.5]×0.02×5.4×17×26=47.74kN107 XX学院毕业设计说明书第66页内侧柱:[(0.6+0.6)×2-0.2×3]×0.02×4.4×17×26=71.60kN合计:119.34kN2~7层:外侧柱:[(0.6+0.6)×2-0.2×3-0.45]×0.02×3.3×17×26=36.20kN内侧柱:[(0.6+0.60)×2-0.2×3]×0.02×3.3×17×16=51.71kN合计:87.91kN3、内、外墙体的计算外墙体为200mm厚蒸压粉煤灰加气混凝土砌块,外墙贴瓷砖(0.5kN/m2),内墙面为20mm厚抹灰,再刷一层白色乳胶漆(忽略自重)则:外墙自重:5.5×0.2=1.1kN/m2外墙外表面装修:0.5kN/m2外墙内表面装修:17×0.02=0.34kN/m2内墙为200mm厚蒸压粉煤灰加气混凝土砌块,墙体两面各20mm厚抹灰。再刷一层乳胶漆,则内墙面荷载为:5.5×0.2+17×0.02×2=1.78kN/m25.2.3各层的代表值1、底层的计算(1)门的计算类别尺寸(m×m)个数面积(m2)面荷载(kN/m2)总重(kN)M10.9×2.1221.890.28.32M21.2×2.112.520.20.50M33.6×2.117.560.43.02合计:11.84kN(2)窗的计算类别尺寸(m×m)个数面积(m2)面荷载(kN/m2)总重(kN)C12.4×1.523.60.42.88C21.2×1.5241.80.417.28合计:20.16kN(3)墙的重量计算107 XX学院毕业设计说明书第66页通过计算,一层外墙的面积为236m2,外墙面装修的面积为294.72m2,内墙面积为:437.84m2,则一层内外墙的重量为:236×(1.1+0.34)+294.72×0.5+1.78×437.84=1266.56kN(4)楼板的面积计算楼板的面积为738.88m2,故其重为:3.45×738.88=2549.14kN2、2~7层的计算(1)门的计算类别尺寸(m×m)个数面积(m2)面荷载(kN/m2)总重(kN)M10.9×2.1241.890.29.07合计:9.07kN(2)窗的计算类别尺寸(m×m)个数面积(m2)面荷载(kN/m2)总重(kN)C12.4×1.5263.60.437.44C21.2×1.531.80.42.16合计:39.6kN(3)墙的重量计算通过计算,外墙的面积为243.55m2,外墙面装修的面积为296.53m2,内墙面积为470.34m2;则内外墙的重量为243.55×(1.1+0.34)+296.53×0.5+1.78×437.84=1230.46kN(4)楼板的面积计算2~6层的楼板的面积为738.88m2,故其重为:3.45×738.88=2549.14kN7层的楼板的面积为766.88m2,故其重为:5.77×766.88=4424.90kN107 XX学院毕业设计说明书第66页3、8层的计算(1)门的计算类别尺寸(m×m)个数面积(m2)面荷载(kN/m2)总重(kN)M10.9×2.121.890.41.512合计:1.512kN(2)窗的计算类别尺寸(m×m)个数面积(m2)面荷载(kN/m2)总重(kN)C21.2×1.521.80.41.44合计:1.44kN(3)墙的重量计算突出屋面的楼电梯间高为2.5m,通过计算:外墙面积为84.96m2,内墙面积为22.11m2。需要贴瓷砖的墙面积为100.74m2,则内外墙体的重为84.96×(1.1+0.34)+100.74×0.5+22.11×1.78=212.07kN(4)女儿墙的重量计算女儿墙的做法与外墙一样,通过计算可得女儿墙的面积为165m2,则可得女儿墙的重量为:(1.1+0.5+0.34)×165=320.10kN(5)梁的重量的计算层号类别净跨(mm)截面(mm)密度(KN/m3)体积(m3)数量(根)单重(kN)总重(kN)8横梁6600300×600251.206330.1590.45纵梁3600300×750250.563414.0656.25(6)柱子及其粉刷的计算[0.6×0.6×25×3+(0.95×2-0.2×2)×2.5×17×0.02]×6=110.43kN(8)板的计算楼板的面积为56m2,故其重为:5.77×56=323.12kN107 XX学院毕业设计说明书第66页纵上所述,汇总如下表:表4.11各层各构件的重力荷载标准值统计层号梁及粉刷柱及粉刷门窗墙板11119.031513.59110.181266.562549.142~61637.191667.41115.321230.462549.1474424.908146.7110.435.9532.17323.12则有:1层:G1=1619.03+2549.14+0.5×(1513.59+110.18+1266.56+1667.41+115.32+1230.46)+0.5×(50.4×7.2×2×2+50.4×3×2.5+28×3×0.5)=8055.69kN2~6层:G2~6=1637.19+2549.14+0.5×(1667.41+115.32+1230.46)×2+0.5×(50.4×7.2×2×2+50.4×3×2.5+28×3×0.5)=8135.28kN7层:G7=1637.19+4424.90+0.5×(1667.41+115.32+1230.46+110.43+5.9+532.17)+0.5×(50.4×7.2×2×2+50.4×3×2+28×3×0.5)=8790.90kN8层:G8=146.7+323.12+0.5×(110.43+5.9+532.17-320.10)+0.5×(56×2)=690.02kN107 XX学院毕业设计说明书第66页图4.4各质点的重力荷载代表值5.3横向水平地震荷载作用下框架结构的内力和侧移计算5.3.1横向自振周期的计算横向自振周期的计算采用结构顶点位移法。将突出房屋重力荷载代表值直接折算到主体结构的顶层,即:G8=690.02kNG7=8790.90+690.02=9480.92kN基本自振周期T1(s)可按下式计算:注:——假想把集中在各层楼面处的重力荷载代表值Gi作为水平荷载而算得的结构顶点位移。----结构基本自振周期考虑非承重砖墙影响的折减系数,取0.7。按以下公式计算:VGi=∑Gk107 XX学院毕业设计说明书第66页(△u)i=VGi/∑DijuT=∑(△u)k注:∑Dij为第i层的层间侧移刚度。(△u)i为第i层的层间侧移。(△u)k为第k层的层间侧移。表4.12横向地震作用下结构顶点的假想位移计算层号Gi(KN)VGi(KN)∑Di(N/mm)△ui(mm)ui(mm)79480.909480.9076030012.47305.5368135.2817616.1876030023.17293.0658135.2825751.4676030033.87269.8948135.2833886.7476030044.57236.0238135.2842022.0276030055.27191.4528135.2850157.3076030065.97136.1818055.6958212.9982914770.2170.215.3.2水平地震作用以及楼层地震剪力计算本结构高度不超过40m,质量和刚度沿高度分布比较均匀,变形以剪切型为主,故可用底部剪力法计算水平地震作用,即:1、结构等效总重力荷载代表值GGeq=0.85∑Gi=0.85×(690.02+8790.90+8135.28×6+6085.39)=49481.04kN2、计算水平地震影响系数a1武汉市设计地震分组为第一组,本设计场地是二类场地,查表得二类场地近震特征周期值Tg=0.35s。,查表得设防烈度为7度的=0.083、结构总的水平地震作用标准值FEkFEK=a1Geq107 XX学院毕业设计说明书第66页=0.0453×49481.04=2242.78kN因,所以应考虑顶部附加水平地震作用。顶部附加地震作用系数各质点横向水平地震作用按下式计算:Fi=GiHiFEk(1-δn)/(∑GkHk)=1967.73GiHi/(∑GkHk)地震作用下各楼层水平地震层间剪力Vi为Vi=∑Fk(i=1,2,…n)计算过程如下表:表4.13各质点横向水平地震作用及楼层地震剪力计算表层号Hi(m)Gi(kN)GiHi(kN·m)GiHi/∑GjHiFi(kN)Vi(kN)827.2690.0221942.640.02242.57127.72724.28790.90253177.920.250491.22533.79620.98135.28202568.470.200393.02926.81517.68135.28170840.880.168331.471258.28414.38135.28139113.290.137269.911528.193118135.28107385.700.106208.351736.5427.78135.2875658.100.075146.791883.3314.408055.6943500.730.04384.401967.73∑1014187.721.000注:顶端存在鞭端效应,上表中将顶端剪力扩大了3倍,但是增大的剪力部分不往下传递。107 XX学院毕业设计说明书第66页图4.5水平地震作用分布图4.6层间剪力分布5.3.3水平地震作用下的位移验算水平地震作用下框架结构的层间位移△ui和顶点位移ui分别按下列公式计算:△ui=Vi/∑Dijui=∑(△u)k各层的层间弹性位移角θe=△ui/hi,根据《抗震规范》,钢筋混凝土框架结,层间弹性位移角限值[θe]<1/550。计算过程如下表:表4.14横向水平地震作用下的位移验算层次Vi(kN)∑Di(N/mm)(△u)i(mm)ui(mm)hi(mm)θe=△ui/hi7533.797603000.7012.7233001/55556926.817603001.2212.0233001/319951258.287603001.6510.8033001/235741528.197603002.019.1433001/194031736.547603002.287.1333001/170821883.337603002.484.8533001/157411967.738291472.372.3744001/2275由此可见,最大层间弹性位移角发生在第二层,1/1574<1/550,满足规范要求。107 XX学院毕业设计说明书第66页5.3.4水平地震作用下的框架内力计算以2轴线处的横向框架为例计算框架内力。1、各柱反弯点高度的比,其中底层柱需要考虑修正值,第二层住需要考虑修正值和其余各柱无修正,具体计算过程见下表表4.15各柱反弯点高度的修正柱号层号Ky0Iy1a2y2a3y3y中柱74.2380.45010-0100.45064.2380.5001010100.50054.2380.5001010100.50044.2380.5001010100.50034.2380.5001010100.50024.2380.50010101.38500.50013.9740.550-00.7220-00.550边柱71.2470.36210-0100.36261.2470.4121010100.41251.2470.4501010100.45041.2470.4621010100.46231.2470.4621010100.46221.2470.50010101.38500.50011.1690.638-00.7220-00.6382、框架柱端剪力及弯矩分别按下列公式计算:Vij=DijVi/∑DijMbij=Vij×yhMuij=Vij(1-y)hy=y0+y1+y2+y3注:y0————框架柱的标准反弯点高度比。y1————为上下层梁线刚度变化时反弯点高度比的修正值。y2、y3————为上下层层高变化时反弯点高度比的修正值。y————框架柱的反弯点高度比。表4.16横向地震下各层柱端弯矩及剪力计算(中柱)层号hi/mVi(kN)∑Dij(N/mm)Dij(N/mm)Vij(kN)yMbij(kN·m)Muij(kN·m)73.3533.797603001935013.590.45023.8429.1463.3926.817603001935023.590.50046.0046.0053.31258.287603001935032.020.50062.4562.4543.31528.197603001935038.890.50075.8475.8433.31736.547603001935044.200.50086.1886.1823.31883.337603001935047.930.50093.4793.4714.41967.738291471186528.160.55083.6368.42107 XX学院毕业设计说明书第66页表4.17横向地震下各层柱端弯矩及剪力计算(边柱)层号hi/mVi(kN)∑Dij(N/mm)Dij(N/mm)Vij(kN)yMbij(kN·m)Muij(kN·m)73.3533.79760300109367.680.45013.4716.4763.3926.817603001093613.330.50026.0026.0053.31258.287603001093618.100.50035.2935.2943.31528.197603001093621.980.50042.8642.8633.31736.547603001093624.980.50048.7148.7123.31883.337603001093627.090.50052.8252.8214.41967.73829147835019.820.55058.8548.15梁端剪力、弯矩、柱轴力计算:梁端弯矩,剪力:图4.7节点弯矩表4.18横向地震梁端弯矩,剪力及柱轴力的计算层号边梁中梁柱轴力MblMbrVbMblMbrVb边柱中柱716.478.573.4820.5720.5713.71-3.48-10.24639.4720.548.3349.3049.3032.87-11.81-34.77561.2931.8912.9476.5576.5551.03-24.75-72.86478.1640.6716.5097.6297.6265.08-41.26-121.43391.5747.6519.34114.37114.3776.25-60.60-178.342101.5352.8421.44126.81126.8184.54-82.04-241.441100.9847.6120.64114.28114.2876.18-102.67-296.98注:(1)力中负号表示拉力,当为左震作用时,左侧两根柱为拉力,对应的右侧两根柱为压力。107 XX学院毕业设计说明书第66页(2)表中M的单位kN·m,V的单位为kN,轴力N的单位为kN。左震作用下弯矩图、剪力图、轴力图如下所示:107 XX学院毕业设计说明书第66页图4.8左震作用下的弯矩图107 XX学院毕业设计说明书第66页图4.9左震作用下的剪力图107 XX学院毕业设计说明书第66页图4.10左震作用下柱的轴力图107 XX学院毕业设计说明书第66页5.4横向风荷载作用下框架结构内力和侧移计算5.4.1风荷载标准值计算基本风压为0.45kN/m2,由《荷载规范》查得ms=0.8(迎风面)和ms=-0.5(背风面)。B类地区,H/B=28.8/50.4=0.571。框架结构基本周期取为T1=0.09N=0.09×7=0.63s。w0T2=0.39×0.632=0.15kN·s2/m2查表可得u=0.43x=1.255由荷载规范知:bz=1.0表4.19风荷载计算层号Hi(m)Hi/Hbzuzusw0(kN/m2)A(m2)Pw(kN)724.21.0001.3401.30.3913.238.99620.90.8651.3331.30.3916.3811.07517.60.7291.2671.30.3916.3810.52414.30.5941.1861.30.3916.389.853110.4581.0901.30.3916.389.0527.70.3231.0001.30.3916.388.3014.40.1881.0001.30.3919.539.905.4.2风荷载作用下的水平位移验算根据上面计算得到的水平风荷载,由式计算层间剪力。再按下面两式分别计算各层的相对侧移和绝对侧移。△ui=Vi/∑Dijui=∑(△u)k各层的层间弹性位移角=。计算过程见下表:表4.20风荷载作用下层间剪力及侧移计算层号Fi(kN)Vi(kN)∑Di(N/mm)△ui(mm)ui(mm)△ui/hi7107.86107.867603000.1424.2521/274916132.84240.707603000.3174.1101/123195126.26366.967603000.4833.7931/80804118.19485.167603000.6383.3111/61123108.62593.787603000.7812.6731/4994299.66693.447603000.9121.8921/52761118.82812.268291470.9800.9801/5521由上表可知,风荷载作用下最大层间位移角为1/4994,远远小于1/550,满足规范的要求107 XX学院毕业设计说明书第66页5.4.3风荷载作用下框架的内力计算1、各柱反弯点的高度比,其中底层柱需要考虑修正值y2,第二层柱需要考虑修正值y1和y3,其余各柱无修正,具体计算过程见下表表4.21各层柱反弯点高度柱号层号Ky0Iy1a2y2a3y3y中柱74.2380.45010-0100.45064.2380.5001010100.50054.2380.5001010100.50044.2380.5001010100.50034.2380.5001010100.50024.2380.50010101.38500.50013.9740.550-00.7220-00.550边柱71.2470.36210-0100.36261.2470.4121010100.41251.2470.4501010100.45041.2470.4621010100.46231.2470.4621010100.46221.2470.50010101.38500.50011.1690.638-00.7220-00.6382、框架柱端剪力及弯矩分别按下列公式计算:Vij=DijVi/∑DijMbij=Vij×yhMuij=Vij(1-y)hy=y0+y1+y2+y3注:y0————框架柱的标准反弯点高度比。y1————为上下层梁线刚度变化时反弯点高度比的修正值。y2、y3————为上下层层高变化时反弯点高度比的修正值。y——框架柱的反弯点高度比。表4.22风载下各层柱端弯矩及剪力计算(中柱)层号hi/mVi(kN)∑Dij(N/mm)Dij(N/mm)Vij(kN)yMbij(kN·m)Muij(kN·m)73.3107.86760300193502.750.4504.825.8963.3240.70760300193506.130.50011.9511.9553.3366.96760300193509.340.50018.2118.2143.3485.167603001935012.350.50024.0824.0833.3593.787603001935015.110.50029.4729.4723.3693.447603001935017.650.50034.4134.4114.4812.268291471186511.620.55034.5228.24107 XX学院毕业设计说明书第66页表4.23风载下各层柱端弯矩及剪力计算(边柱)层号hi/mVi(kN)∑Dij(N/mm)Dij(N/mm)Vij(kN)yMbij(kN·m)Muij(kN·m)73.3107.86760300109361.550.4502.723.3363.3240.70760300109363.460.5006.756.7553.3366.96760300109365.280.50010.2910.2943.3485.16760300109366.980.50013.6113.6133.3593.78760300109368.540.50016.6516.6523.3693.44760300109369.970.50019.4519.4514.4812.2682914783508.180.55024.2919.88梁端剪力、弯矩、柱轴力计算:表4.24风载下梁端弯矩,剪力及柱的轴力计算层号边梁中梁柱轴力MblMbrVbMblMbrVb边柱中柱73.331.730.704.164.162.77-0.70-2.0769.474.932.0011.8311.837.89-2.70-7.96517.048.873.6021.2921.2914.19-6.30-18.55423.9012.445.0529.8529.8519.90-11.35-33.40330.2615.756.3937.8037.8025.20-17.74-52.21236.1018.797.6245.0945.0930.06-25.36-74.65139.3318.438.0244.2344.2329.49-33.39-96.11注:(1)力中负号表示拉力,当为左风作用时,左侧两根柱为拉力,对应的右侧两根柱为压力。(2)表中M的单位kN·m,V的单位为kN,轴力N的单位为kN。左风作用下的弯矩图、剪力图、轴力图如下所示:107 XX学院毕业设计说明书第66页图4.11左风作用下的弯矩图107 XX学院毕业设计说明书第66页图4.12左风荷载作用下的剪力图107 XX学院毕业设计说明书第66页图4.13左风作用下柱的轴力图107 XX学院毕业设计说明书第66页6内力调整6.1竖向荷载作用下的梁端弯矩调幅为了减小支座处负钢筋的数量,方便钢筋的绑扎与混凝土的浇捣;同时为了充分利用钢筋,以达到节约钢筋的目的。在内力组合前将竖向荷载作用下支座处梁端负弯矩(使梁上面受拉)调幅,调幅系数β=0.8。以顶层边跨梁在恒载作用下的梁端负弯矩为例:图5.1弯矩调幅示意图该梁在恒载作用下,梁端负弯矩分别为:MC=71.68kN,MD=109.30kN,跨中正弯矩为M0=87.32kN;现将其调幅:M‘C=bMA=0.8×71.68=57.34kNM‘D=bMB=0.8×109.30=87.44kNM‘0=1.02Mc0-(M‘A+M‘B)/2=1.02×177.81-(57.34+87.44)/2=108.97其中,是按简支梁计算的跨中弯矩。每一根梁均按以上介绍的方法进行支座负弯矩与跨中正弯矩调幅,计算结果如下表:107 XX学院毕业设计说明书第66页表5.1恒载作用下梁端弯矩调幅梁类型层号轴线处梁端弯矩跨中弯矩调幅后跨中弯矩调幅后跨中弯矩左右左右边跨7-71.68109.30-87.32-57.3587.44-108.976-92.69104.42-63.90-74.1583.53-86.865-88.96103.45-66.24-71.1782.76-88.744-88.96103.45-66.24-71.1782.76-88.743-88.96103.45-66.24-71.1782.76-88.742-88.84103.41-66.30-71.0782.73-88.801-83.64100.97-70.15-66.9180.78-91.86中跨7-60.4660.4643.04-48.3748.3730.596-36.2636.2623.73-29.0129.0116.235-37.4337.4324.90-29.9429.9417.164-37.4337.4324.90-29.9429.9417.163-37.4337.4324.90-29.9429.9417.162-37.4737.4724.47-29.9829.9817.191-39.9339.9327.40-31.9531.9519.16表5.2活载作用下梁端弯矩调幅梁类型层号轴线处梁端弯矩跨中弯矩调幅后跨中弯矩调幅后跨中弯矩左右左右边跨7-18.8428.66-22.78-15.0722.93-28.466-25.8830.19-18.49-20.7024.16-25.035-25.0829.97-19.00-20.0723.98-25.434-25.0829.97-19.00-20.0723.98-25.433-25.0829.97-19.00-20.0723.98-25.432-25.0529.96-19.02-20.0423.97-25.451-23.4929.28-20.14-18.8023.43-26.35中跨7-15.6715.6711.46-12.5412.5413.176-11.4511.456.17-9.169.167.105-11.7111.716.44-9.379.377.404-11.7111.716.44-9.379.377.403-11.7111.716.44-9.379.377.402-11.7311.736.45-9.389.387.421-12.4012.407.13-9.929.928.20注:计算过程中,为了减少计算工作,没有考虑活荷载的最不利分布而是按照满布考虑的,考虑到满布荷载法计算的误差,活荷载作用下梁的跨中弯矩乘以1.15的增大系数,再与原跨中弯矩调幅后的弯矩值比较,取较大者作为调整后的跨中弯矩值。6.2框架梁内力折算至柱边1、竖向分布荷载下的折算对于竖向分布荷载作用下的梁端内力,按下式进行折算:107 XX学院毕业设计说明书第66页注:这里的是指的梁支座范围内竖向分布荷载的合力,竖向分布荷载可能是变化的,故准确的表示应为。2、水平荷载或竖向集中荷载下的折算对于水平荷载或竖向集中荷载产生的内力,则按下式折算:表5.3恒载作用下梁端弯矩与剪力梁类型层号轴线处梁端弯矩轴线处梁端剪力梁端弯矩梁端剪力左右左右左右左右边跨7-57.3587.4493.56-104.01-35.6763.1586.70-97.156-74.1583.5388.62-91.88-53.5662.1382.36-85.615-71.1782.7688.24-92.26-50.6861.2681.97-86.004-71.1782.7688.24-92.26-50.6861.2681.97-86.003-71.1782.7688.24-92.26-50.6861.2681.97-86.002-71.0782.7388.23-92.28-50.5861.2381.96-86.011-66.9180.7887.85-92.66-46.5259.1881.58-86.39中跨7-48.3748.3723.24-23.24-43.5343.5319.36-19.366-29.0129.0116.71-16.71-25.5325.5313.93-13.935-29.9429.9416.71-16.71-26.4626.4613.93-13.934-29.9429.9416.71-16.71-26.4626.4613.93-13.933-29.9429.9416.71-16.71-26.4626.4613.93-13.932-29.9829.9816.71-16.71-26.5026.5013.93-13.931-31.9531.9516.71-16.71-28.4628.4613.93-13.93107 XX学院毕业设计说明书第66页表5.4活载作用下梁端弯矩与剪力梁类型层号轴线处梁端弯矩轴线处梁端剪力梁端弯矩梁端剪力左右左右左右左右边跨7-15.0722.9324.48-27.21-9.4016.5722.69-25.426-20.7024.1625.25-26.45-14.8417.9923.45-24.655-20.0723.9825.17-26.53-14.2217.7923.37-24.734-20.0723.9825.17-26.53-14.2217.7923.37-24.733-20.0723.9825.17-26.53-14.2217.7923.37-24.732-20.0423.9725.17-26.53-14.2017.7923.37-24.741-18.8023.4325.04-26.65-12.9817.2123.25-24.86中跨7-12.5412.545.63-5.63-11.3711.374.69-4.696-9.169.167.04-7.04-7.697.695.86-5.865-9.379.377.04-7.04-7.917.915.86-5.864-9.379.377.04-7.04-7.917.915.86-5.863-9.379.377.04-7.04-7.917.915.86-5.862-9.389.387.04-7.04-7.927.925.86-5.861-9.929.927.04-7.04-8.468.465.86-5.86表5.5左震作用下梁端弯矩与剪力梁类型层号轴线处梁端弯矩梁端弯矩梁端剪力左右左右左右边跨716.478.5715.607.70-3.48-3.48639.4720.5437.3918.46-8.33-8.33561.2931.8958.0528.66-12.94-12.94478.1640.6774.0336.55-16.50-16.50391.5747.6586.7442.82-19.34-19.342101.5352.8496.1747.48-21.44-21.441100.9847.6195.8242.46-20.64-20.64中跨720.5720.5717.1417.14-13.71-13.71649.3049.3041.0841.08-32.87-32.87576.5576.5563.7963.79-51.03-51.03497.6297.6281.3581.35-65.08-65.083114.37114.3795.3195.31-76.25-76.252126.81126.81105.68105.68-84.54-84.541114.28114.2895.2395.23-76.18-76.18107 XX学院毕业设计说明书第66页表5.6左风作用下梁端弯矩与剪力梁类型层号轴线处梁端弯矩梁端弯矩梁端剪力左右左右左右边跨73.331.733.151.56-0.70-0.7069.474.938.974.43-2.00-2.00517.048.8716.147.97-3.60-3.60423.9012.4422.6411.18-5.05-5.05330.2615.7528.6614.15-6.39-6.39236.1018.7934.2016.88-7.62-7.62139.3318.4337.3216.42-8.02-8.02中跨74.164.163.463.46-2.77-2.77611.8311.839.869.86-7.89-7.89521.2921.2917.7417.74-14.19-14.19429.8529.8524.8824.88-19.90-19.90337.8037.8031.5031.50-25.20-25.20245.0945.0937.5837.58-30.06-30.06144.2344.2336.8636.86-29.49-29.496.3柱的内力调整以恒载为例,恒载作用下柱的剪力沿柱不变(由剪力图可知),所以不需调整;弯矩图如图3.8所示,为线性变化,可利用线性关系调整。表5.7恒载作用下柱端弯矩柱类型层号柱端梁高(m)轴线处柱端弯矩柱端弯矩上下上下上下C轴柱70.60.666.5547.4961.4343.8460.60.637.7940.7834.8837.6450.60.640.7840.7837.6437.6440.60.640.7840.7837.6437.6430.60.640.7840.8837.6437.7420.60.640.5744.9137.4541.4610.60.631.3315.6629.5914.79D轴柱70.60.6-42.38-32.08-39.12-29.6160.60.6-28.38-29.16-26.20-26.9250.60.6-29.16-29.16-26.92-26.9240.60.6-29.16-29.16-26.92-26.9230.60.6-29.16-29.19-26.92-26.9420.60.6-29.06-30.84-26.82-28.4710.60.6-22.51-11.26-21.26-10.63107 XX学院毕业设计说明书第66页表5.8活载作用下柱端弯矩柱类型层号柱端梁高(m)轴线处柱端弯矩柱端弯矩上下上下上下C轴柱70.60.617.9613.5316.5812.4960.60.611.4712.1010.5911.1750.60.612.1012.1011.1711.1740.60.612.1012.1011.1711.1730.60.612.1012.1311.1711.2020.60.612.0413.3411.1112.3110.60.69.284.648.764.38D轴柱70.60.6-11.30-8.84-10.43-8.1660.60.6-8-8.18-7.38-7.5550.60.6-8.18-8.18-7.55-7.5540.60.6-8.18-8.18-7.55-7.5530.60.6-8.18-8.19-7.55-7.5620.60.6-8.15-8.64-7.52-7.9810.60.6-6.34-3.17-5.99-2.99表5.9左震载作用下柱端弯矩柱类型层号柱端梁高(m)轴线处柱端弯矩柱端弯矩上下上下上下C轴柱70.60.6-16.47-13.47-15.20-12.4460.60.6-26.00-26.00-24.00-24.0050.60.6-35.29-35.29-32.58-32.5840.60.6-42.86-42.86-39.57-39.5730.60.6-48.71-48.71-44.96-44.9620.60.6-52.82-52.82-48.76-48.7610.60.6-48.15-58.85-45.48-55.58D轴柱70.60.6-29.14-23.84-26.90-22.0160.60.6-46.00-46.00-42.46-42.4650.60.6-62.45-62.45-57.64-57.6440.60.6-75.84-75.84-70.01-70.0130.60.6-86.18-86.18-79.55-79.5520.60.6-93.47-93.47-86.28-86.2810.60.6-68.42-83.63-64.62-78.98107 XX学院毕业设计说明书第66页表5.10左风作用下柱端弯矩柱类型层号柱端梁高(m)轴线处柱端弯矩柱端弯矩上下上下上下C轴柱70.60.6-3.33-2.72-3.07-2.5160.60.6-6.75-6.75-6.23-6.2350.60.6-10.29-10.29-9.50-9.5040.60.6-13.61-13.61-12.56-12.5630.60.6-16.65-16.65-15.37-15.3720.60.6-19.45-19.45-17.95-17.9510.60.6-19.88-24.29-18.77-22.94D轴柱70.60.6-5.89-4.82-5.44-4.4560.60.611.95-11.9511.03-11.0350.60.6-18.21-18.21-16.81-16.8140.60.6-24.08-24.08-22.23-22.2330.60.6-29.47-29.47-27.20-27.2020.60.6-34.41-34.41-31.77-31.7710.60.6-28.24-34.52-26.68-32.60107 XX学院毕业设计说明书第66页7内力组合及截面设计7.1内力组合7.1.1结构的抗震等级结构的抗震等级可以根据结构的类型,地震烈度,房屋高度等因素,有规范查得。根据规范可以知道本工程得框架为三级框架。7.1.2框架梁的内力组合本设计考虑以下几种内力组合:;(左风,右风);;(其中)(左震,右震);.(左风,,右风)。根据以上几种组合,结合梁柱的控制截面进行内力的计算。其中梁的控制界面位于梁端,柱边及最大弯矩处,柱的控制截面在柱底和柱顶。由于框架对称,梁的每一层有五个控制截面,1,2,3,4,5,其中2和5为跨中最大弯矩处,为简化计算,取跨中计算。梁的内力组合结果如下:107 表6.1横向框架KJ-2梁的内力组合表层次截面内力SGkSQkSwkSEk1.2SGk+1.4Swk1.2SGk+1.4×0.9×(SQk+Swk)1.2(SGk+0.5SQk)+1.3SEk)1.2SGk+1.4SQk1.35SGk+1.4×0.7SQkV=gRE[hvb(Mlb+Mrb)/ln+VGb]左右左右左右七层1M-35.67-9.403.1515.60-38.39-47.21-50.68-58.62-28.16-68.72-55.96-57.3788.70V86.7022.69-0.70-3.48103.06105.02131.75133.51113.13122.18135.81139.283M63.1516.571.567.7077.9673.6098.6294.6995.7375.7198.98101.49V-97.15-25.42-0.703.48-117.56-115.60-149.49-147.73-127.31-136.36-152.17-156.064M-43.53-11.373.4617.14-47.39-57.08-62.20-70.92-36.78-81.34-68.15-69.9173.69V19.364.69-2.77-13.7119.3527.1125.6532.638.2243.8729.8030.73跨间M2-108.97-28.46-130.76-130.76-166.62-166.62-147.84-147.84-170.61-175.00M530.5913.1736.7136.7153.3053.3044.6144.6155.1554.20六层1M-53.56-14.848.9737.39-51.71-76.83-71.67-94.27-24.57-121.78-85.05-86.8590.43V82.3623.45-2.00-8.3396.03101.63125.86130.90102.07123.73131.66134.173M62.1317.994.4318.4680.7668.35102.8191.64109.3561.3599.74101.51V-85.61-24.65-2.00-8.33-105.53-99.93-136.31-131.27-128.35-106.69-137.24-139.734M-25.53-7.699.8641.08-16.83-44.44-27.90-52.7518.15-88.65-41.40-42.0074.33V13.935.86-7.89-32.875.6727.7614.1634.04-22.5062.9624.9224.55跨间M2-86.86-25.03-104.23-104.23-135.77-135.77-119.25-119.25-139.27-141.79M516.237.1019.4819.4828.4228.4223.7423.7429.4228.87五层1M-50.68-14.2216.1458.05-38.22-83.41-58.39-99.076.12-144.81-80.72-82.3595.70V81.9723.37-3.60-12.9493.32103.40123.27132.3595.56129.21131.08133.563M61.2617.797.9728.6684.6762.35105.9785.89121.4446.9398.42100.14V-86.00-24.73-3.60-12.94-108.24-98.16-138.90-129.82-134.86-101.22-137.82-140.344M-26.46-7.9117.7463.79-6.92-56.59-19.37-64.0746.43-119.43-42.83-43.4794.64V13.935.86-14.19-51.03-3.1536.586.2241.98-46.1186.5724.9224.55跨间M2-88.74-25.43-106.49-106.49-138.53-138.53-121.75-121.75-142.09-144.72M517.167.4020.5920.5929.9229.9225.0325.0330.9530.42四层1M-50.68-14.2222.6474.03-29.12-92.51-50.20-107.2626.89-165.58-80.72-82.3599.52V81.9723.37-5.05-16.5091.29105.43121.45134.1790.94133.84131.08133.563M61.2617.7911.1836.5589.1657.86110.0181.84131.7036.6798.42100.14107 V-86.00-24.73-5.05-16.50-110.27-96.13-140.72-128.00-139.49-96.59-137.82-140.344M-26.46-7.9124.8881.353.08-66.58-10.37-73.0769.26-142.25-42.83-43.47109.70V13.935.86-19.90-65.08-11.1444.58-0.9749.17-64.37104.8424.9224.55跨间M2-88.74-25.43-106.49-106.49-138.53-138.53-121.75-121.75-142.09-144.72M517.167.4020.5920.5929.9229.9225.0325.0330.9530.42三层1M-50.68-14.2228.6686.74-20.69-100.94-42.62-114.8443.42-182.11-80.72-82.35102.56V81.9723.37-6.39-19.3489.42107.31119.76135.8687.24137.53131.08133.563M61.2617.7914.1542.8293.3253.70113.7678.10139.8528.5298.42100.14V-86.00-24.73-6.39-19.34-112.15-94.25-142.41-126.31-143.18-92.90-137.82-140.344M-26.46-7.9131.5095.3112.35-75.85-2.03-81.4187.41-160.40-42.83-43.47121.68V13.935.86-25.20-76.25-18.5652.00-7.6555.85-78.89119.3624.9224.55跨间M2-88.74-25.43-106.49-106.49-138.53-138.53-121.75-121.75-142.09-144.72M517.167.4020.5920.5929.9229.9225.0325.0330.9530.42二层1M-50.58-14.2034.2096.17-12.82-108.58-35.50-121.6855.81-194.24-80.58-82.20104.83V81.9623.37-7.62-21.4487.68109.02118.20137.4084.50140.25131.07133.553M61.2317.7916.8847.4897.1149.84117.1674.62145.8722.4398.38100.09V-86.01-24.74-7.62-21.44-113.88-92.54-143.99-124.78-145.93-90.18-137.85-140.364M-26.50-7.9237.58105.6820.81-84.415.57-89.13100.83-173.94-42.89-43.54130.62V13.935.86-30.06-84.54-25.3758.80-13.7861.98-89.67130.1324.9224.55跨间M2-88.80-25.45-106.56-106.56-138.63-138.63-121.83-121.83-142.19-144.82M517.197.4220.6320.6329.9829.9825.0825.0831.0230.48一层1M-46.52-12.9837.3295.82-3.58-108.07-25.16-119.2060.95-188.18-74.00-75.52104.50V81.5823.25-8.02-20.6486.67109.12117.09137.3085.01138.68130.45132.923M59.1817.2116.4242.4694.0048.03113.3972.01136.5426.1495.1196.76V-86.35-24.86-8.02-20.64-114.85-92.39-145.05-124.84-145.37-91.70-138.42-140.944M-28.46-8.4636.8695.2317.45-85.761.63-91.2684.57-163.03-46.00-46.71125.61V13.935.86-29.49-76.18-24.5758.00-13.0661.26-78.80119.2724.9224.55跨间M2-91.86-26.35-110.23-110.23-143.43-143.43-126.04-126.04-147.12-149.83M519.168.2022.9922.9933.3233.3227.9127.9134.4733.90107 XX学院毕业设计说明书7.1.3梁端剪力的调整:抗震设计中,对于三级框架,其梁端剪力设计值应按下式调整:1、对于第7层,CD跨:受力如图所示:图6.1CD跨受力图梁上荷载设计值:q1=1.2×4.67=5.60kN/mq2=1.2×(24.23+0.5×8.4)=34.12kN/mVGb=5.60×0.5×7.2+34.12×(0.5×2.1+1.5)=107.17kNln=6.70m左震:Mlb=-28.16kN·mMrb=95.73kN·mV=gRE[hvb(Mlb+Mrb)/ln+VGb]=0.75×[1.1×(-28.16+95.73)/6.7+107.17]=88.70kN右震:Mlb=-68.72kN·mMrb=75.71kN·mV=gRE[hvb(Mlb+Mrb)/ln+VGb]=0.75×[1.1×(-68.72+75.71)/6.7+107.17]=81.24kNDE跨:受力如图所示:图6.2DE跨的受力图107 XX学院毕业设计说明书梁上荷载设计值:q1=1.2×4.67=5.60kN/mq2=1.2×(17.31+0.5×6.0)=24.37kN/mVGb=5.60×1.5+24.37×0.5×1.5=26.68kNln=2.50m左震:Mlb=Mrb=36.78kN·mV=gRE[hvb(Mlb+Mrb)/ln+VGb]=0.75×[1.1×(36.78+36.78)/2.5+26.68]=44.28kN右震:Mlb=Mrb=81.34kN·mV=gRE[hvb(Mlb+Mrb)/ln+VGb]=0.75×[1.1×(36.78+36.78)/2.5+26.68]=44.28kN2、对于第1-6层CD跨:q1=1.2×11.45=13.74kN/mq2=1.2×(14.49+0.5×8.4)=22.43kN/mVGb=13.74×3.6+22.43×(1.05+1.5)=106.66kNln=6.70m/6.65mDE跨:q1=1.2×4.67=5.60kN/mq2=1.2×(10.35+0.5×7.5)=16.92kN/mVGb=5.60×1.5+16.92×0.5×1.5=21.09kNln=2.50m/2.45m剪力调整方法同上,结果见各层梁的内力组合表。7.1.4柱的内力组合对各层框架柱的柱底、柱顶控制截面分别进行内力组合;考虑三组最不利内力:及相应的及相应的及相应的对每组内力考虑四中组合:107 XX学院毕业设计说明书;(左风,右风);;(其中)(左震,右震);.(左风,,右风)。107 表6.2横向框架C柱弯矩及轴力组合层次截面内力SGkSQkSwkSEk1.2SGk+1.4Swk1.2SGk+1.4×0.9×(SQk+Swk)1.2(SGk+0.5SQk)+1.3SEk)1.2SGk+1.4SQk1.35SGk+1.4×0.7SQk|Mmax|及NNmin及MNmax及M左右左右左右七层柱顶M61.4316.58-3.07-15.2069.4278.0190.7498.4863.90103.4296.9399.18103.4269.4299.18N144.8633.30-0.70-3.48172.85174.81214.91216.67189.29198.34220.45228.20198.34172.85228.20柱底M42.8412.49-2.51-12.4447.8954.9263.9870.3142.7375.0768.8970.0775.0747.8970.07N167.9333.30-0.70-3.48200.54202.50242.59244.36216.97226.02248.14259.34226.02200.54259.34六层柱顶M34.8810.59-6.23-24.0033.1350.5847.3563.0517.0179.4156.6857.4779.4133.1357.47N307.4866.77-2.70-11.81365.20372.76449.70456.51393.69424.39462.45480.53424.39365.20480.53柱底M37.6411.17-6.23-24.0036.4553.8951.3967.0920.6783.0760.8161.7683.0736.4561.76N353.6266.77-2.70-11.81420.56428.12505.07511.88449.05479.76517.82542.82479.76420.56542.82五层柱顶M37.6411.17-9.50-32.5831.8758.4747.2771.219.5294.2260.8161.7694.2231.8761.76N469.72100.16-6.30-24.75554.84572.48681.93697.80591.59655.94703.89732.28655.94554.84732.28柱底M37.6411.17-9.50-32.5831.8758.4747.2771.219.5294.2260.8161.7694.2231.8761.76N538.93100.16-6.30-24.75637.90655.54764.98780.86674.64738.99786.94825.71738.99637.90825.71四层柱顶M37.6411.17-12.56-39.5727.5862.7543.4275.070.43103.3160.8161.76103.3127.5861.76N631.96133.55-11.35-41.26742.46774.24912.32940.93784.84892.12945.32984.03892.12742.46984.03柱底M37.6411.17-12.56-39.5727.5862.7543.4275.070.43103.3160.8161.76103.3127.5861.76N724.24133.55-11.35-41.26853.20884.981023.061051.66895.581002.861056.061108.601002.86853.201108.60三层柱顶M37.7411.17-15.37-44.9623.7766.8140.0078.73-6.46110.4460.9361.90110.4423.7761.90N794.20166.94-17.74-60.60928.20977.881141.031185.74974.421131.981186.761235.771131.98928.201235.77柱底M37.6411.20-15.37-44.9623.6566.6939.9178.65-6.56110.3460.8561.79110.3423.6561.79N909.55166.94-17.74-60.601066.621116.301279.451324.161112.841270.401325.181391.491270.401066.621391.49二层柱顶M37.4511.11-17.95-48.7619.8170.0736.3281.56-11.78114.9960.4961.45114.9919.8161.45N956.43200.32-25.36-82.041112.211183.221368.171432.071161.261374.561428.161487.491374.561112.211487.49柱底M41.4612.31-17.95-48.7624.6274.8842.6587.88-6.25120.5366.9968.03120.5324.6268.03N1094.85200.32-25.36-82.041278.321349.321534.271598.181327.361540.661594.271674.361540.661278.321674.36一层柱顶M29.598.76-18.77-45.489.2361.7922.9070.20-18.3699.8947.7748.5399.899.2348.53N1118.27233.59-33.39-102.671295.181388.671594.181678.321348.611615.551668.951738.581615.551295.181738.58柱底M14.794.38-22.94-55.58-14.3749.86-5.6452.17-51.8892.6323.8824.2692.63-14.3724.26N1325.58233.59-33.39-102.671543.951637.441842.951927.091597.381864.321917.722018.451864.321543.952018.45107 XX学院毕业设计说明书7.1.5柱端弯矩设计值的调整:1、C柱:第7层:按《抗震规范》,无需调整。第6层:柱顶轴压比[uN]=N/(fcAc)=424.39×103/(14.3×450×500)=0.132<0.15无需调整柱底轴压比[uN]=N/(fcAc)=479.76×103/(14.3×450×500)=0.149<0.15无需调整第5层:柱顶轴压比[uN]=N/(fcAc)=655.94×103/(14.3×450×500)=0.204>0.15需要调整可知,1~5层柱端组合的弯矩设计值应符合下式要求:注:ΣMc——为节点上下柱端截面顺时针或逆时针方向组合的弯矩设计值之和,上下柱端的弯矩设计值可按弹性分析分配。ΣMb——为节点左右梁端截面顺时针或逆时针方向组合弯矩设计值之和。ηc——柱端弯矩增大系数,三级取1.1。C柱柱端弯矩调整的结果如下表:表6.3横向框架C柱柱端组合弯矩设计值的调整层次54321截面柱顶柱底柱顶柱底柱顶柱底柱顶柱底柱顶柱底∑Mb144.81165.85165.85182.11182.11194.24194.24188.18188.18γRE∑Mc63.7272.9772.9780.1380.1385.4785.4780.1485.46γREN524.75591.19714.26802.29905.581016.321099.651232.531292.441491.46表6.4横向框架C柱剪力组合层号SGkSQkSwkSEk1.2SGk+1.4×0.9×(SQk+Swk)1.2(SGk+0.5SQk)+1.3SEk)1.2SGk+1.4SQk1.35SGk+1.4×0.7SQkV=ηVb(Mcb+Mct)/Hn左右左右7-29.24-8.071.937.68-42.83-47.70-29.95-49.92-46.39-47.3954.546-20.15-6.041.8013.33-29.52-34.06-10.47-45.13-32.64-33.1249.655-20.91-6.211.4818.10-31.04-34.78-5.29-52.35-33.78-34.3157.584-20.91-6.211.1921.98-31.42-34.41-0.24-57.39-33.78-34.3163.133-20.94-6.210.8924.98-31.83-34.083.62-61.33-33.82-34.3667.462-21.92-6.510.5927.09-33.75-35.255.01-65.42-35.41-35.9771.961-8.70-2.580.3019.82-13.32-14.0613.77-37.75-14.05-14.2744.12107 表6.5横向框架D柱弯矩及轴力组合层次截面内力SGkSQkSwkSEk1.2SGk+1.4Swk1.2SGk+1.4×0.9×(SQk+Swk)1.2(SGk+0.5SQk)+1.3SEk)1.2SGk+1.4SQk1.35SGk+1.4×0.7SQk|Mmax|及NNmin及MNmax及M左右左右左右七层柱顶M-39.12-10.43-5.44-26.90-54.56-39.33-66.94-53.23-88.17-18.23-61.55-63.03-88.17-54.56-63.03N191.8149.47-2.07-10.24227.27233.07289.90295.11246.54273.17299.43307.42246.54227.27307.42柱底M-29.61-8.16-4.45-22.01-41.76-29.30-51.42-40.21-69.04-11.82-46.96-47.97-69.04-41.76-47.97N214.8849.47-2.07-10.24254.96260.75317.58322.80274.23300.85327.11338.57274.23254.96338.57六层柱顶M-26.20-7.38-11.03-42.46-46.88-16.00-54.64-26.84-91.0719.33-41.77-42.60-91.07-46.88-42.60N377.28102.19-7.96-34.77441.59463.88571.47591.53468.85559.25595.80609.47468.85441.59609.47柱底M-26.92-7.55-11.03-42.46-47.75-16.86-55.71-27.92-92.0318.36-42.87-43.74-92.03-47.75-43.74N423.42102.19-7.96-34.77496.96519.25626.83646.89524.22614.62651.17671.76524.22496.96671.76五层柱顶M-26.92-7.55-16.81-57.64-55.84-8.77-63.00-20.64-111.7738.10-42.87-43.74-111.77-55.84-43.74N563.12154.70-18.55-72.86649.77701.71847.29894.04673.85863.28892.32911.82673.85649.77911.82柱底M-26.92-7.55-16.81-57.64-55.84-8.77-63.00-20.64-111.7738.10-42.87-43.74-111.77-55.84-43.74N632.33154.70-18.55-72.86732.83784.77930.35977.09756.90946.33975.381005.25756.90732.831005.25四层柱顶M-26.92-7.55-22.23-70.01-63.43-1.18-69.83-13.81-127.8554.18-42.87-43.74-127.85-63.43-43.74N748.96207.21-33.40-121.43851.99945.511117.751201.92865.221180.941188.851214.16865.22851.991214.16柱底M-26.92-7.55-22.23-70.01-63.43-1.18-69.83-13.81-127.8554.18-42.87-43.74-127.85-63.43-43.74N841.24207.21-33.40-121.43962.731056.251228.491312.66975.961291.671299.581338.74975.96962.731338.74三层柱顶M-26.92-7.55-27.20-79.55-70.385.78-76.09-7.55-140.2566.58-42.87-43.74-140.25-70.38-43.74N934.81259.73-52.21-178.341048.681194.871383.251514.821045.771509.451485.391516.531045.771045.771516.53柱底M-26.94-7.56-27.20-79.55-70.415.75-76.13-7.58-140.2866.55-42.91-43.78-140.28-140.28-43.78N1050.16259.73-52.21-178.341187.101333.291521.671653.241184.191647.871623.811672.251184.191184.191672.25二层柱顶M-26.82-7.52-31.77-86.28-76.6612.29-81.69-1.63-148.8675.47-42.71-43.58-148.86-148.8675.47N1120.66312.24-74.65-241.441240.281449.301644.161832.271218.261846.011781.931818.891218.261218.261846.01柱底M-28.47-7.98-31.77-86.28-78.6410.31-84.25-4.19-151.1273.21-45.34-46.25-151.12-151.1273.21N1259.08312.24-74.65-241.441406.391615.411810.261998.381384.372012.111948.032005.751384.371384.372012.11一层柱顶M-21.26-5.99-26.68-64.62-62.8611.84-66.680.56-113.1154.90-33.90-34.57-113.11-113.1154.90N1306.90364.88-96.11-296.981433.731702.831906.932149.131401.132173.282079.112121.901401.131401.132173.28柱底M-10.63-2.99-32.60-78.98-58.4032.88-57.6024.55-117.2288.12-16.94-17.28-117.22-117.2288.12N1514.55364.88-96.11-296.981682.911952.012156.112398.311650.312422.462328.292402.221650.311650.312422.46107 XX学院毕业设计说明书表6.6横向框架D柱柱端组合弯矩设计值的调整层次54321截面柱顶柱底柱顶柱底柱顶柱底柱顶柱底柱顶柱底∑Mb167.87200.96200.96227.26227.26246.7246.7221.11221.11γRE∑Mc-73.86-88.42-88.42-99.99-99.99-108.55-108.55-94.16-100.42γREN539.08605.52692.18780.77836.62947.35974.611107.501120.901320.25表6.7横向框架E柱剪力组合层号SGkSQkSwkSEk1.2SGk+1.4×0.9×(SQk+Swk)1.2(SGk+0.5SQk)+1.3SEk)1.2SGk+1.4SQk1.35SGk+1.4×0.7SQkV=ηVb(Mbl+Mbr)/Hn左右左右719.095.161.8913.5931.8027.0343.678.3530.1430.84-48.04614.754.151.6923.5925.0620.8150.86-10.4723.5123.98-55.95514.954.191.4032.0225.0021.4662.09-21.1723.8224.30-68.30414.954.191.1238.8924.6421.8271.02-30.1023.8224.30-78.13314.964.200.8444.2024.3022.1877.93-36.9823.8324.31-85.72215.364.310.5647.9324.5623.1583.32-41.3024.4624.95-91.6616.251.760.2828.1610.089.3745.17-28.049.9710.17-52.797.2截面设计7.2.1梁截面设计设计思路:对于边跨梁,首先利用跨中正弯矩设计值,以单筋T形截面来配置梁底纵筋(因为跨中梁顶负筋一般配置较少,以单筋截面设计带来的误差较小);然后根据“跨中梁底纵筋全部锚入支座”的原则确定支座的梁底纵筋,利用支座负弯矩设计值以双筋矩形截面来配置梁顶纵筋。纵筋的截断、锚固以构造要求确定。钢筋采用电渣压力焊接长,所以不考虑钢筋的搭接。然后按有关要求配置抗剪箍筋,验算梁抗剪承载力;对于中跨梁,因其跨中正弯矩较小,所以利用支座正弯矩设计值,以单筋T形截面来配置梁底纵筋即可。其余操作同边跨梁。设计参数:梁砼:C30();纵筋:HRB400();箍筋:HPB300();纵筋保护层厚:。以七层梁截面设计为例说明计算过程:(1)边跨截面设计:107 XX学院毕业设计说明书a、跨中截面设计设计内力:M=175.00kN·m;按T形单筋截面设计,首先确定截面几何参数:其中:;;,不需考虑;所以,截面简图如下:图6.3七层边跨梁跨中截面属于第Ⅰ类T形截面。(满足)实配钢筋:320107 XX学院毕业设计说明书(满足)b、支座处正筋配置设计内力:此时梁底受压,无需计算,只需将跨中处的320直通支座,满足要求;故对七层的CD梁不再计算支座正弯矩作用下的梁底配筋。c、支座处负筋配置设计内力:已知支座负弯矩作用下,受压钢筋为320()说明有富裕,且不会屈服,可近似取所以,近似令配筋:取220As=628mm2取220As=628mm2(满足)(2)中跨截面设计:a、跨中截面设计设计内力:M=55.15kN·m;此时梁底受压,无需计算,只需构造配筋即可,考虑到与CD跨贯通,取220即可。107 XX学院毕业设计说明书图6.4七层中跨梁跨中截面b、支座处正筋配置设计内力:M=-47.39kN·m此时梁底受压,无需计算,只需将跨中处的220直通支座,满足要求故对七层的DE梁不再计算支座正弯矩作用下的梁底配筋。c、支座处负筋配置设计内力:M=-70.92kN·m已知支座负弯矩作用下,受压钢筋为220()说明有富裕,且不会屈服,可近似取所以,近似令配筋:取220As=628mm2(满足)(3)、箍筋配置支座剪力107 XX学院毕业设计说明书验算受剪截面截面满足要求!加密区——(梁两端各900mm)非加密区——满足。查《混凝土结构计算图表》第五章第四节,可得:(加密区)(非加密区)所以,(满足)由于其他各层梁端截面处的剪力均小于251.60kN和176.70kN,因此其他个层均采用如下的箍筋配置方式:加密区——(梁两端各950mm)非加密区——107 XX学院毕业设计说明书表6.8横向框架梁纵向钢筋计算表层次截面MAs‘As实配AsAs"/As7支座C58.62307220(As=628)1.5支座CL101.49532220(As=628)1.5CD跨间175.00867320(As=941)支座DR70.92372220(As=628)1.0DE跨间55.15构造220(As=628)6支座C91.34479220(As=628)1.5支座DL102.81539220(As=628)1.5CD跨间141.79702320(As=941)支座DR66.49348220(As=628)1.0DE跨间28.87构造220(As=628)5支座C108.61569220(As=628)1.5支座DL105.97555220(As=628)1.5CD跨间144.72716320(As=941)支座DR89.57469220(As=628)1.0DE跨间30.42构造220(As=628)4支座C124.19651220(As=628)1.5支座DL110.01577220(As=628)1.5CD跨间144.72716320(As=941)支座DR106.69559220(As=628)1.0DE跨间30.42构造220(As=628)3支座C136.58716320(As=941)1.0支座DL113.75596220(As=628)1.5CD跨间144.72716320(As=941)支座DR120.30631220(As=628)1.0DE跨间30.95构造220(As=628)2支座C145.68764320(As=941)1.0支座DL117.16614220(As=628)1.5CD跨间144.82717320(As=941)支座DR130.45684320(As=941)0.67DE跨间31.02构造220(As=628)1支座C141.13740320(As=941)1.0支座DL113.39594220(As=628)1.5CD跨间143.43710320(As=941)支座DR122.27641220(As=628)1.0DE跨间33.90构造220(As=628)7.2.2框架柱截面设计107 XX学院毕业设计说明书框架柱的设计基本要求有:强柱弱梁,使柱尽量不出现塑性铰;在弯曲破坏之前不发生剪切破坏,使柱有足够的抗剪能力;控制柱的轴压比不要太大;加强约束,配置必要的约束箍筋。1、剪跨比及柱的轴压比验算下表中给出了框架柱各层剪跨比和轴压比的计算结果。注意表中的,和N都不应该考虑承载力抗震调整系数,由表中可见,各柱的剪跨比均大于2,轴压比均小于0.9,满足规范的要求。表6.9柱的剪跨比和轴压比柱号层次bh0fcMcVcNMc/Vch0N/fcbhC760046014.3103.4254.54259.344.120.088660046014.383.0749.65542.823.640.183560046014.394.2257.58825.713.560.279460046014.3103.3163.131108.603.560.375360046014.3110.4467.461391.493.560.470260046014.3120.5371.961674.363.640.566160051014.399.8944.122018.454.440.554D760046014.388.1748.04338.573.990.114660046014.392.0355.95671.763.580.227560046014.3111.7768.301005.253.560.340460046014.3127.8578.131338.743.560.452360046014.3140.2885.721672.253.560.565260046014.3151.1291.662012.113.580.680160051014.3117.2252.792422.464.350.6642、建筑材料混凝土:所有框架柱均采用C30,,钢筋:所有纵向钢筋采用Ⅲ级钢筋(),;所有箍筋采用钢筋(),3、正截面承载力计算对于2轴线框架柱,这里,以第七层C柱为例,详细说明计算方法和过程,柱截面尺寸为600×600,取a=a’=40。按前面的三种内力组合,分别进行正截面验算。(一)|M|max及相应的N柱正截面承载力计算107 XX学院毕业设计说明书由于,故应考虑偏心矩增大系数:,取,取由于对称配筋,故故属于大偏心受压情况,因此(二)Nmax及相应的Ma、选取内力设计值根据柱的内力组合表5.6,选取不利内力值:此组内力不含地震组合,故不必对柱端弯矩进行调整。b、承载力计算107 XX学院毕业设计说明书取故属于大偏心受压情况,因此(三)Nmin及相应的Ma、根据柱内力组合表,有b、承载力计算107 XX学院毕业设计说明书取故属于大偏心受压情况,因此(四)最终配筋综合上述三种内力组合的配筋结果,又按照构造要求配筋,应满足,且单侧配筋率选配318,实有配筋如下图107 XX学院毕业设计说明书图6.5框架柱配筋剪图总配筋率:单侧配筋率:表6.10A柱正截面承载力计算表层号截面组合方式MNeil0/hηξ大小偏心x理As实AsρS(%)7柱顶|M|max82.74158.675419.751.0580.054大偏心25381318As=7630.27%(单)0.71%(总)Nmax99.18228.204559.751.0690.077大偏心35416Nmin69.42172.854229.751.0740.058大偏心27278柱底|M|max60.06180.823529.751.0890.061大偏心28207Nmax70.07259.342909.751.1080.088大偏心40191Nmin47.89200.542599.751.1210.068大偏心311066柱顶|M|max75.38524.751649.751.1910.177大偏心82<0318As=7630.27%(单)0.71%(总)Nmax57.47480.531409.751.2240.162大偏心75<0Nmin33.13365.21119.751.2820.123大偏心57<0柱底|M|max66.46383.811939.751.1620.130大偏心6037Nmax61.76542.821349.751.2330.183大偏心84<0Nmin36.45420.561079.751.2930.142大偏心65<05|M|max75.38524.751649.751.1910.177大偏心82<03180.27%107 XX学院毕业设计说明书柱顶As=763(单)0.71%(总)Nmax61.76732.281049.751.2990.247大偏心114<0Nmin31.87554.84779.751.4030.187大偏心86<0柱底|M|max75.38591.191489.751.2120.200大偏心92<0Nmax61.76825.71959.751.3290.279大偏心128<0Nmin31.87637.9709.751.4460.215大偏心99<04柱顶|M|max82.65713.71369.751.2300.241大偏心111<0318As=7630.27%(单)0.71%(总)Nmax61.76984.03839.751.3770.332大偏心153<0Nmin27.58742.45579.751.5470.251大偏心115<0柱底|M|max82.65802.281239.751.2540.271大偏心125<0Nmax61.761108.6769.751.4130.375大偏心172<0Nmin27.58853.2529.751.5970.288大偏心133<03柱顶|M|max88.35905.591189.751.2660.306大偏心141<0318As=7630.27%(单)0.71%(总)Nmax61.91235.77709.751.4460.417大偏心192<0Nmin23.77928.2469.751.6850.314大偏心144<0柱底|M|max88.271016.321079.751.2920.343大偏心158<0Nmax61.791391.49649.751.4850.470大偏心216<0Nmin23.651066.62429.751.7410.360大偏心166<02柱顶|M|max921099.651049.751.3010.371大偏心171<0318As=7630.27%(单)0.71%(总)Nmax61.451487.49619.751.5090.503大偏心231<0Nmin19.811112.21389.751.8260.376大偏心173<0柱底|M|max96.421232.53989.751.3180.416大偏心192<0Nmax68.031674.36619.751.4950.566小偏心260<0Nmin24.621278.32399.751.7960.432大偏心199<01柱顶|M|max79.911292.448212.271.6710.354大偏心163<0318As=7630.28%(单)0.74%(总)Nmax79.911292.448212.271.6710.354大偏心163<0Nmin79.911292.448212.271.6710.354大偏心163<0柱底|M|max79.911292.448212.271.6710.354大偏心163<0Nmax79.911292.448212.271.6710.354大偏心163<0Nmin79.911292.448212.271.6710.354大偏心163<0表6.11C柱正截面承载力计算层号截面组合方式MNeil0/hηξ大小偏心x理As实AsρS(%)7柱顶|M|max70.54197.233789.751.0830.067大偏心31259318As=7630.27%(单)0.71%(总)Nmax63.02307.422259.751.1390.104大偏心4894Nmin54.56227.272609.751.1200.077大偏心35122柱底|M|max55.23219.382729.751.1150.074大偏心34135Nmax47.97338.571629.751.1930.114大偏心53<0Nmin41.76254.961849.751.1700.086大偏心4086柱顶|M|max72.85375.082149.751.1460.127大偏心5888318As=7630.27%(单)0.71%107 XX学院毕业设计说明书(总)Nmax42.6609.47909.751.3470.206大偏心95<0Nmin46.88441.591269.751.2480.149大偏心69<0柱底|M|max73.63419.371969.751.1600.142大偏心6547Nmax43.74671.76859.751.3670.227大偏心104<0Nmin47.75496.961169.751.2690.168大偏心77<05柱顶|M|max89.41539.081869.751.1680.182大偏心8432318As=7630.27%(单)0.71%(总)Nmax43.74911.82689.751.4600.308大偏心142<0Nmin55.84649.771069.751.2950.220大偏心101<0柱底|M|max89.41605.521689.751.1860.205大偏心94<0Nmax43.741005.25649.751.4920.340大偏心156<0Nmin55.84732.83969.751.3250.248大偏心114<04柱顶|M|max102.28692.181689.751.1860.234大偏心10813318As=7630.27%(单)0.71%(总)Nmax43.741214.16569.751.5580.410大偏心189<0Nmin63.43851.99949.751.3310.288大偏心132<0柱底|M|max102.28780.761519.751.2070.264大偏心121<0Nmax43.741338.74539.751.5930.452大偏心208<0Nmin63.43962.73869.751.3640.325大偏心150<03柱顶|M|max112.2836.611549.751.2030.283大偏心1302318As=7630.27%(单)0.71%(总)Nmax43.741516.53499.751.6400.512大偏心236<0Nmin70.381045.77879.751.3580.353大偏心163<0柱底|M|max112.22947.351389.751.2260.320大偏心147<0Nmax43.781672.45469.751.6510.565小偏心260<0Nmin140.281184.191389.751.2260.400大偏心184922柱顶|M|max119.09974.611429.751.2200.329大偏心151<0318As=7630.27%(单)0.71%(总)Nmax75.471846.01619.751.4470.624小偏心287<0Nmin148.861218.261429.751.2200.412大偏心189146柱底|M|max120.891107.491299.751.2420.374大偏心172<0Nmax73.212012.11569.751.4430.680小偏心313<0Nmin120.891107.491299.751.2420.374大偏心172<01柱顶|M|max90.491120.9110112.271.5450.307大偏心141<0318As=7630.28%(单)0.74%(总)Nmax54.92173.284512.272.0970.596小偏心274<0Nmin90.491120.9110112.271.5450.307大偏心141<0柱底|M|max93.781320.259112.271.6030.362大偏心167<0Nmax88.122422.465612.271.7900.664小偏心306197Nmin93.781320.259112.271.6030.362大偏心167<07.2.斜截面受剪承载力计算对于2轴线框架柱,以第七层C柱为例,详细说明计算方法和过程,柱截面尺寸600×600,取a=a’=40。107 XX学院毕业设计说明书由于框架柱的反弯点在柱层高范围内,可取剪压比取满足要求考虑地震作用组合的框架柱的轴向压力设计值为取由得:柱端箍筋加密区选配四肢箍3φ8@100,非加密区选配三肢箍3φ8@200,则实际有:七层柱柱底轴压比为根据查规范,有配箍特征值,故加密区范围:,取550mm。表6.12柱的箍筋数量表107 XX学院毕业设计说明书柱号层次VN0.2bcfcbh0/rRE0.3fcAAsv/sρvmin加密区非加密区C柱754.54259.34696.49965.25<00.41%3φ8@1003φ8@200649.65542.82696.49965.25<00.41%3φ8@1003φ8@200557.58825.71696.49965.25<00.41%3φ8@1003φ8@200463.131108.60696.49965.25<00.44%3φ8@1003φ8@200367.461391.49696.49965.25<00.52%3φ8@1003φ8@200271.961674.36696.49965.25<00.64%3φ8@1003φ8@200144.122018.45858.001179.75<00.79%3φ8@803φ8@200D柱748.04338.57696.49965.25<00.41%3φ8@1003φ8@200655.95671.76696.49965.25<00.41%3φ8@1003φ8@200568.301005.25696.49965.25<00.42%3φ8@1003φ8@200478.131338.74696.49965.25<00.50%3φ8@1003φ8@200385.721672.25696.49965.25<00.64%3φ8@1003φ8@200291.662012.11696.49965.25<00.78%3φ8@803φ8@200152.792422.46858.001179.75<00.95%3φ8@703φ8@200107 XX学院毕业设计说明书8楼板设计8.1楼板类型及设计方法的选择:对于楼板,根据塑性理论,时,在荷载作用下,在两个正交方向受力且都不可忽略。在本方案中,对于双向板,设计时按塑性铰线法设计;对于单向板,按弹性计算方法计算。8.2设计参数双向板肋梁楼盖结构布置图和板带划分图:图7.1板带划分图1.设计荷载:(1)对于2-6层楼面:由可变效应控制的组合:由永久效应控制的组合:取由可变荷载效应控制的组合。107 XX学院毕业设计说明书走廊板:由可变效应控制的组合:由永久效应控制的组合:取由可变荷载效应控制的组合。(2)、对于7层屋面,由可变效应控制的组合:由永久效应控制的组合:取由永久荷载效应控制的组合。2.计算跨度:(lc为轴线长、b为梁宽)楼板采用C30混凝土,板中钢筋采用Ⅱ级钢筋,板厚选用100mm,=100/3900=1/39≥1/50,符合构造要求。8.3弯矩计算首先假定边缘板带跨中配筋率与中间板带相同,支座截面配筋率不随板带而变,取同一数值。对所有区格取(其中n为长短跨比值),取,然后利用下式进行连续运算:对于1-6层楼面,A区格板:107 XX学院毕业设计说明书将以上数据代入公式得:B区格板:107 XX学院毕业设计说明书将以上数据代入公式得:表7.1按塑性铰线法计算弯矩表(KN·m)(2-6楼面)ABCDEFl01(m)2.53.92.53.9753.9752.2l02(m)3.97.13.9757.17.13.9M1u3.28m1u6.13m1u3.35m1u6.11m1u6.11m1u3.35m1uM2u0.77m1u0.88m1u0.74m1u0.93m1u0.93m1u0.53m1uM1u"-7.80m1u-14.20m1u-7.95m1u-14.20m1u-14.20m1u-7.80m1uM1u""-7.80m1u-14.20m1u-7.95m1u-14.20m1u-14.20m1u-7.80m1uM2u"-2.05m1u-2.35m1u-1.98m1u-2.49m1u-2.49m1u-1.40m1u107 XX学院毕业设计说明书M2u""-2.05m1u-2.35m1u-1.98m1u-2.49m1u-2.49m1u-1.40m1um1u1.323.251.343.343.671.12m2u0.540.980.531.051.150.36m1u"-2.63-6.50-2.68-6.67-7.34-2.24m1u""-2.63-6.50-2.68-6.67-7.34-2.24m2u"-1.08-1.96-1.06-2.09-2.30-0.71m2u""-1.08-1.96-1.06-2.09-2.30-0.71107 XX学院毕业设计说明书同理,对7屋面,有下表:表7.2按塑性铰线法计算弯矩表(KN·m)(7层屋面)ABCDEFl01(m)2.53.92.53.9753.9752.2l02(m)3.97.13.9757.17.13.9M1u3.28m1u6.13m1u3.35m1u6.11m1u6.11m1u3.35m1uM2u0.77m1u0.88m1u0.74m1u0.93m1u0.93m1u0.53m1uM1u"-7.80m1u-14.20m1u-7.95m1u-14.20m1u-14.20m1u-7.80m1uM1u""-7.80m1u-14.20m1u-7.95m1u-14.20m1u-14.20m1u-7.80m1uM2u"-2.05m1u-2.35m1u-1.98m1u-2.49m1u-2.49m1u-1.40m1uM2u""-2.05m1u-2.35m1u-1.98m1u-2.49m1u-2.49m1u-1.40m1um1u1.684.561.714.694.691.43m2u0.691.380.681.471.470.45m1u"-3.36-9.13-3.41-9.37-9.37-2.86m1u""-3.36-9.13-3.41-9.37-9.37-2.86m2u"-1.38-2.75-1.35-2.94-2.94-0.91m2u""-1.38-2.75-1.35-2.94-2.94-0.918.4截面设计受拉钢筋的截面积按公式As=m/(rsh0fy),其中rs取0.9。对于四边都与梁整结的板,中间跨的跨中截面及中间支座处截面,其弯矩设计值减小20%。钢筋的配置:符合内力计算的假定,全板均匀布置。以第1层A区格l1方向为例:截面有效高度h01=h-20=100-20=80mAs=m1u/(rsh0fy)=1.32×106/(0.9×210×80)=60.19mm2对于2-6楼面,各区格板的截面计算与配筋见下表:107 XX学院毕业设计说明书表7.3按塑性铰线法计算的截面计算与配筋截面区格方向h0(mm)m(KN·m)As(mm2)配筋实配As跨中Al1801.064910@180436l2700.432310@180436Bl1802.6012010@180436l2700.784110@180436Cl1801.075010@180436l2700.422210@180436Dl1802.6712410@180436l2700.844410@180436El1800.452110@180436l2700.412110@180436Fl1800.452110@180436l2700.412110@180436支座A-A80-0.864010@180436A-B80-2.109710@180436A-C80-0.864010@180436A-F80-2.109710@180436B-B80-5.2024110@180436B-D80-5.3424710@180436C-D80-2.149910@180436同理,对于7屋面,各区格板的截面计算与配筋见下表:107 XX学院毕业设计说明书表7.4按塑性铰线法计算的截面计算与配筋表截面区格方向h0(mm)m(KN·m)As(mm2)配筋实配As跨中Al1801.346210@180436l2700.552910@180436Bl1803.6516910@180436l2701.105810@180436Cl1801.376310@180436l2700.542910@180436Dl1803.7517410@180436l2701.186210@180436Fl1800.572610@180436l2700.522810@180436Fl1800.572610@180436l2700.522810@180436支座A-A80-1.105110@180436A-B80-2.6912410@180436A-C80-1.105110@180436A-F80-2.6912410@180436B-B80-7.3033810@150523B-D80-7.5034710@150523C-D80-2.7312610@180436107 XX学院毕业设计说明书9楼梯设计9.1设计资料本框架结构每层设有2个相同楼梯,楼梯的开间为4.2m,进深7.2m。一层层高为3.6m,设计为等跑楼梯,每级均为12级踏步,11个踏面,踏步的尺寸为150mm×300mm。砼:C30()钢筋:板采用HPB335();梁采用HRB400()。9.2梯段板设计图8.1楼梯结构平面布置图107 XX学院毕业设计说明书取板厚120mm,板倾斜角:,。取1m宽板带计算。考虑到楼梯可能作为消防楼梯,活荷载的值取为3.5kN/m2。9.2.1荷载计算恒载:水磨石面层0.65×(0.27+0.15)/0.27=1.01kN/m三角形踏步0.5×0.27×0.15×25/0.27=1.88kN/m混凝土斜板0.12×25/0.874=3.43kN/m板底抹灰0.02×17/0.874=0.39kN/m小计6.71kN/m活载:3.5kN/m总荷载设计值:9.2.2截面设计楼梯板水平计算跨度弯矩设计值:板的有效高度:1、板底配筋:选配:8@100As=503mm22、板顶配筋:107 XX学院毕业设计说明书选配:8@100As=503mm2根据规范,梯段板横向方向需配置构造钢筋:8,每级踏步一根。9.3平台板设计初取平台板厚100mm,取1m宽板带计算。9.3.1荷载计算恒载:水磨石地面0.7kN/m100mm厚混凝土板0.1×25=2.5kN/m板底抹灰0.02×17=0.34kN/m小计3.49kN/m活载:3.5kN/m总荷载设计值:9.3.2截面设计PTB1的设计:平台板计算跨度弯矩设计值:板的有效高度:板底配筋:选配:8@200As=251mm2PTB2的设计:107 XX学院毕业设计说明书平台板计算跨度弯矩设计:板的有效高度:板底配筋:选配:8@200As=251mm29.4平台梁的设计初设平台梁尺寸9.4.1荷载计算恒载:梁自重0.2×(0.3-0.1)×25=1.5kN/m梁侧粉刷0.02×(0.3-0.1)×2×17=0.20kN/m平台板传力3.49×1.85×0.5=3.23kN/m楼梯板传力6.71×3.24×0.5=10.87kN/m小计15.80kN/m活载(由板上传来):总荷载设计值9.4.2截面设计平台梁计算跨度:内力设计值:107 XX学院毕业设计说明书截面按倒L形受弯计算:根据《计算图表》:见图6.1图8.2平台梁截面示意图属于第一类L形截面。选配:316As=603mm初配箍筋9.4.3平台梁构造考虑平台梁受扭,按一般梁设计配筋完成后,依照梁顶、梁底钢筋的大值,采用对称配筋。TZ处箍筋全长加密,以保证计算时未考虑的扭矩。107 XX学院毕业设计说明书10基础设计10.1设计资料底层柱的截面为600mm×600mm,采用柱下独立基础,采用C25的混凝土,HRB335的钢筋。取基础埋深为d=1.5m。基础位于粉质粘土层中,fak=120kpa.10.2设计计算10.2.1荷载计算:基础承受的荷载包括框架传来的弯矩、剪力、轴力、基础自重、回填土的重量及地基传来的轴力和弯矩,具体计算如下:框架柱传来的最不利组合:基础梁自重:梁上墙自重:则有:10.2.2初步确定基础高度:根据建筑地基设计规范,初步选择基础埋深为500mm,取基础及上部回填土平均重度为,查地基设计规范可以得到以下数据:框架柱的入土深度取初步取基础高度为:基础平均埋深为:10.2.3初步确定底面尺寸:先按轴心受压估算基础底面积,不考虑地下水的影响。由基础埋深,故要对地基承载力进行修正,计算如下:107 XX学院毕业设计说明书则地基承载力设计值:考虑到偏心荷载作用下应力分布的不均匀,故将基底面积增大,取增大系数为1.2,则:初步选择基底尺寸为,10.2.4地基承载力验算:基础抗弯刚度:基础自重及回填土重量:进而可以得出基础地面尺寸满足要10.2.5持力层承载力验算:有:其均满足要求。10.2.6基础高度验算:107 XX学院毕业设计说明书只需要对柱边基础截面进行抗剪验算:取:采用C25混凝土;因偏心受压:故满足冲切要求。10.2.7配筋计算:基础受力钢筋采用HRB335级钢筋:选用12;另一方向选用12107 XX学院毕业设计说明书参考文献[1]李国强,李杰,苏小卒.建筑结构抗震设计.北京:中国建筑工业出版社,2002[2]方鄂华,钱痂茹,叶列平.高层建筑结构设计.北京:中国建筑工业出版社,2003[3]罗晓辉.基础工程设计原理.武汉:华中科技大学出版社,2007[4]同济大学,西安建筑科技大学,东南大学,重庆建筑大学.房屋建筑学.北京:中国建筑工业出版社,1997[5]东南大学,天津大学,同济大学.混凝土结构(上册).北京:中国建筑工业出版社,2003[6]东南大学,天津大学,同济大学.混凝土结构(中册).北京:中国建筑工业出版社,2003[7]《建筑设计资料集》编委会.建筑设计资料集(8).北京:中国建筑工业出版社,1996[8]龙驭球,包世华.结构力学(上、下册).北京:高等教育出版社,1994[9]陈柄汗.中文AutoCAD+天正TArch建筑绘图标准教程.北京:机械工程出版社,2008[10]《建筑结构制图标准》(GB/T50105-2001)[11]《建筑结构荷载规范》(GB50009-2001)[12]《混凝土结构设计规范》(GB50003-2001)[13]《建筑地基基础设计规范》(GB50007-2002)[14]《建筑抗震设计规范》(GB50011-2001)[15]《建筑制图标准》(GB/T50104-2001)[16]《中小学建筑设计规范》(GBJ99-86)[17]《建筑构,配件标准图集》107 XX学院毕业设计说明书致谢转眼间,大学四年的生活已至尾声,回首大学生活:四年的求知路,四年的师生情,四年的兄弟义。而现在,一切都将成为回忆,心里有很多话想对关心我的老师,支持我的兄弟们说,在这里对你们表示感谢!感谢老师们四年来对我的孜孜教诲,我才得以健康成长。在XXX的四年,不仅仅学到了知识,更重要的是让我学会了如何做人,这为我明天的辉煌打下了坚实的基础。同时也感谢兄弟们在我需要帮助的时候伸出援助之手,帮我度过生活和学习中的困难。再次向XX学院的老师特别给我上过课的老师表示真诚的感谢。107'