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建筑結(jié)構(gòu)ArchitecturalStructures受壓構(gòu)件的破壞特征FailureCharacteristicsofCompressedMembers4.2柱構(gòu)件設(shè)計(jì)ColumnDesign目錄
CONTENTS軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers1偏心受壓構(gòu)件的破壞特征FailureCharacteristicsofEccentricallyLoadedCompressionMembers2柱截面Columnsection縱筋Longitudinalbar混凝土Reinforcedconcrete柱Column按軸力作用線位置分Accordingtotheaxialforceasthelineposition軸心受壓構(gòu)件Axialcompressionmembers偏心受壓構(gòu)件Eccentricallyloadedcompressionmembers受壓構(gòu)件的分類ClassificationofCompressionMembers軸心受壓構(gòu)件AxialcompressionmembersN軸向壓力作用線與構(gòu)件截面形心軸線重合。Whenthelineofactionoftheaxialcompressiveforcecoincideswiththecentroidofthecross-sectionalareaofthemember.受壓構(gòu)件的分類ClassificationofCompressionMembers軸向壓力作用線與構(gòu)件截面形心不重合;Whenthelineofactionoftheaxialcompressiveforcedoesnotcoincidewiththecentroidofthecross-section.偏心受壓構(gòu)件Eccentricallyloadedcompressionmembers在構(gòu)件截面上,同時(shí)作用有軸向壓力和彎矩。Whenbothaxialcompressiveforceandbendingmomentactsimultaneouslyonthecross-sectionofthemember.NNM受壓構(gòu)件的分類ClassificationofCompressionMembers偏心受壓構(gòu)件EccentricallyloadedcompressionmembersNN單向偏心構(gòu)件Uniaxialeccentricallycompressedmembers雙向偏心構(gòu)件Biaxialeccentricallycompressedmembers按軸向壓力作用線位置分:Accordingtothepositionoftheaxialpressureline.受壓構(gòu)件的分類ClassificationofCompressionMembers軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembersPARTONE軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers由于構(gòu)件制作誤差、軸線偏差及混凝土材料的非均質(zhì)性等原因,理想的軸心受壓構(gòu)件幾乎不存在,往往存在一定的初始偏心距。Duetofactorssuchasmanufacturingerrorsincomponents,axisdeviation,andthenon-homogeneityofconcretematerials,anidealaxiallyloadedcompressionmemberhardlyexists,andthereoftenexistsacertaininitialeccentricity.內(nèi)柱Innercolumn當(dāng)偏心距很小時(shí),可按軸心受壓構(gòu)件來(lái)計(jì)算,如框架結(jié)構(gòu)中的內(nèi)柱。Whentheeccentricityisverysmall,internalcolumnsinframestructurescanbecalculatedasaxiallycompressedmembers.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers短柱Shortcolumn長(zhǎng)柱
Longcolumn軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers短柱破壞Theshortcolumnfailure荷載較小時(shí),鋼筋與混凝土共同受力,變形主要為彈性變形。Whentheloadissmall,steelreinforcementandconcretebearforcestogether,andthedeformationisprimarilyelasticdeformation.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers短柱破壞Theshortcolumnfailure隨著荷載增大,混凝土應(yīng)力增長(zhǎng)變慢,鋼筋應(yīng)力越來(lái)越大,并先達(dá)到屈服。Astheloadincreases,thegrowthrateofconcretestressslowsdownwhilethereinforcementstresskeepsincreasingandreachesyieldfirst.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers短柱破壞Theshortcolumnfailure鋼筋屈服后,壓力全部由混凝土承擔(dān),柱子表面出現(xiàn)縱向裂縫,混凝土保護(hù)層開始剝落。Aftertheyieldingofsteelreinforcement,allthecompressivestressisbornebytheconcrete,longitudinalcracksappearonthesurfaceofthecolumn,andtheconcreteprotectivelayerbeginstospall.最終縱筋壓屈外凸,混凝土被壓碎崩裂而破壞。Thefinallongitudinalreinforcementbucklesoutward,causingtheconcretetocrushandspall,leadingtofailure.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers短柱中的鋼筋和混凝土的抗壓強(qiáng)度都能得到充分利用,屬于材料破壞。Boththecompressivestrengthofsteelreinforcementandconcreteinshortcolumnsarefullyutilized,whichfallsundermaterialfailure.短柱的縱向彎曲影響很小,可忽略不計(jì)。Thelongitudinalbendingeffectonshortcolumnsisminimalandcanbeneglected.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers初始偏心的影響不容忽視。Theeffectofinitialeccentricitycannotbeneglected.受壓長(zhǎng)柱Compressedlongcolumns軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers受壓長(zhǎng)柱Compressedlongcolumns初始偏心距的存在,使構(gòu)件產(chǎn)生側(cè)向撓曲;Duetothepresenceofaninitialeccentricity,thememberexperienceslateraldeflection.使得長(zhǎng)柱在彎曲和軸向壓力共同作用下發(fā)生破壞。Longcolumnsunderthecombinedactionofbendingandaxialcompressiveforcessufferdamage.側(cè)向撓曲進(jìn)一步加大初始偏心距;Thislateraldeflectionfurtherincreasestheinitialeccentricity.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers受壓長(zhǎng)柱Compressedlongcolumns凹邊出現(xiàn)縱向裂縫;Longitudinalcracksfirstappearontheconcaveside.混凝土壓碎,縱筋壓彎外凸,側(cè)向撓度急速發(fā)展;Followedbycrushingoftheconcrete,outwardbucklingofthelongitudinalreinforcementundercompression,rapiddevelopmentoflateraldeflection.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers受壓長(zhǎng)柱Compressedlongcolumns柱子失去平衡,凸邊混凝土拉裂而破壞。Thecolumnlosesitsbalance.Theconvexsideconcretethenundergoestensilesplittingandfails.軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers在同等條件下(即截面相同,配筋相同,材料相同),長(zhǎng)柱的承載力低于短柱。Underthesameconditions(i.e.,withidenticalcross-sections,reinforcement,andmaterials),theload-bearingcapacityoflongcolumnsislowerthanthatofshortcolumns.
長(zhǎng)柱承載力Theload-bearingcapacityoflongcolumns短柱承載力Theload-bearingcapacityofshortcolumns軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers<如何區(qū)分?Howdowedistinguishthem?長(zhǎng)柱?Longcolumn?短柱?Shortcolumn?軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers長(zhǎng)細(xì)比——構(gòu)件的計(jì)算長(zhǎng)度l0與截面最小回轉(zhuǎn)半徑i之比。Theslendernessratio——itreferstotheratioofthemember’seffectivelengthl0toitsminimumradiusofgyrationi.
長(zhǎng)細(xì)比Theslendernessratiol0
——構(gòu)件計(jì)算長(zhǎng)度與構(gòu)件兩端支承情況有關(guān)。Theeffectivelengthofthememberdependsonthesupportconditionsatbothends.樓蓋類型Floorsystemtypes柱段Columnsegment計(jì)算長(zhǎng)度l0Calculatelengthl0現(xiàn)澆樓蓋Cast-in-placeFloorSlab底層柱段Bottomlayercolumnsegment1.0H其余各層柱段Columnsegmentsfortheremaininglayers1.25H裝配式樓蓋PrefabricatedFloorSlab底層柱段Bottomlayercolumnsegment1.25H其余各層柱段Columnsegmentsfortheremaininglayers1.5H軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers一般截面
Generalcross-sectioni——
截面最小回轉(zhuǎn)半徑irepresentstheminimumradiusofgyration軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembersbhd
矩形
Rectangular圓形
Circular短邊尺寸Thedimensionoftheshorterside截面直徑Thediameterofthecross-section軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers短柱Shortcolumnl0bd矩形截面
Rectangularcross-section
圓形截面Circularcross-section
任意截面Anycross-section
軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers長(zhǎng)柱Longcolumn矩形截面
Rectangularcross-section
圓形截面Circularcross-section
任意截面Anycross-section
軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembersb=1000h=1200l0=6400Ab=400l0=6400B長(zhǎng)細(xì)比l0/b=6.4Theslendernessratio<8長(zhǎng)細(xì)比l0/b=16Theslendernessratio>8短柱Shortcolumn長(zhǎng)柱Longcolumn軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembersA柱ColumnAB柱ColumnB截面尺寸Cross-sectionaldimensions絕對(duì)長(zhǎng)度Absolutelength軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers《混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范》采用穩(wěn)定系數(shù)φ表示長(zhǎng)柱承載力的降低程度。TheSpecificationforDesignofConcreteStructuresadoptsthestabilitycoefficientφtorepresentthedegreeofreductionintheload-carryingcapacityoflongcolumns.長(zhǎng)細(xì)比愈大,承截力愈低。Thelargertheslendernessratio,thelowertheload-bearingcapacity.<承載力Theload-carryingcapacity軸心受壓構(gòu)件的受力性能及破壞特征Load-bearingPerformanceandFailureCharacteristicsofAxiallyLoadedCompressionMembers≤810121416182022242628≤78.510.5121415.517192122.524≤2835424855626976839097≤1.00.980.950.920.870.810.750.700.650.600.563032343638404244464850262829.5313334.536.5384041.5431041111181251321391461531601671740.520.480.440.400.360.320.290.260.230.210.19
鋼筋混凝土構(gòu)件的穩(wěn)定系數(shù)φ表TableofStabilityCoefficientφf(shuō)orReinforcedConcreteMembers長(zhǎng)細(xì)比↑Theslen
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