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1、發(fā)表于:《土木工程學(xué)報(bào)》,VOL39(7),2006年7期,P57-62?,F(xiàn)澆空心板宏觀基本本構(gòu)關(guān)系謝靖中(上海交通大學(xué),上海200030)摘要:研究宏觀等效泊松比和彈性模量。首先通過(guò)解析方法,推導(dǎo)了空心板作為雙向肋板的泊松比的計(jì)算公式。其次根據(jù)應(yīng)力分布特點(diǎn),提出圓孔空心板橫管向彎曲、軸壓彈性模量的有效截面計(jì)算方法,確定豎向傾角?0?225.?的孔半徑所在水平線(xiàn)為有效截面的邊界線(xiàn),并給出計(jì)算公式。此外研究還發(fā)現(xiàn),雙向肋板中存在橫肋引起剛度增大的“橫肋效應(yīng)”現(xiàn)象,給出該現(xiàn)象的量化表達(dá)式。所提方法和公式均通過(guò)理論、數(shù)值驗(yàn)證,是現(xiàn)澆空心板結(jié)構(gòu)計(jì)算的理論基礎(chǔ)。關(guān)鍵詞:現(xiàn)澆空心板;構(gòu)造各向異性;本
2、構(gòu)關(guān)系;泊松比;彈性模量;橫肋效應(yīng)中圖分類(lèi)號(hào):TU375.2;TU313.1文獻(xiàn)標(biāo)志碼:A文章編號(hào):Onmacroscopic-levelconstitutiverelationshipofcast-in-situHollowed-coreslabsXieJingzhong(JiaotongUniversityofShanghai,Shanghai200030,China)Abstract:Inthepresentpaper,astudywasmadeonthemethodofcomputingequivalentPoissonratioandelasticmodulusofcast-i
3、n-situhollowed-coreslabsatthemacroscopiclevel.Atfirst,theformulasofcomputingthePoissonratioofcast-in-situhollowedslabswithbilateralribsarededucedbytheoreticalmeans.Then,basedonthecharacteristicsofstressdistribution,aneffectivesectionalareamethodisadvocatedforcomputingboththebendingandaxialelastic
4、modulusofcircularhollowed-coreslabsatthetransversesection,andtheboundaryoftheeffectiveareaissuggestedtobeataradialdistancewithitsverticalslopeanglebeing?0?225.?.Relevantformulasforcomputationalpurposearealsoproposed.Meanwhile,thetransverse-ribphenomenon,whichmayleadtostiffnessincreasingoftheslab,
5、hasbeenrevealedfromthepresentstudy.Thisphenomenonismodeledbyanappropriatemathematicalrelationship.Theproposedmethodsandformulasarecarefullyevaluatedbyboththeoreticalandnumericalmeansandtheymaybeconsideredasthefundamentalconstitutiverelationshipsforstructuralanalysisofcast-in-situhollowed-coreslab
6、s.Keywords:cast-in-situhollow-coreslab;constructiveorthogonalanisotropic;constitutiverelationship;Poissonration,elasticmodulus;transverse-rib–affectionE-mail:xiejz@sjtu.edu.cn引言?????????????????作者簡(jiǎn)介:謝靖中,博士,講師現(xiàn)澆空心板樓蓋結(jié)構(gòu)是我國(guó)近年來(lái)發(fā)展起來(lái)的收稿日期:2005-12-01[1,2][4,5]一種新型板式樓蓋結(jié)構(gòu),在實(shí)際工程中得到了廣受力。有關(guān)空心板的計(jì)算方法,總體上可以歸為泛應(yīng)
7、用??招陌遄鳛榛炷两Y(jié)構(gòu)構(gòu)件,其承載能力有兩類(lèi),即離散化方法和連續(xù)化方法。較多研究。但其基本的力學(xué)特性,即基本的彈性模量、離散化方法特點(diǎn)是基本計(jì)算單元為各向同性,由泊松比等本構(gòu)關(guān)系,還很少有涉及。而這些基本本構(gòu)單元組成的結(jié)構(gòu)體現(xiàn)各向異性。一種方法將空心板的關(guān)系,是進(jìn)行正確計(jì)算的基礎(chǔ)??v橫肋、肋間板均用細(xì)分塊體元模擬,這是一種較為空心板是一種典型的構(gòu)造各向異性體,即基本材精確的計(jì)算方法,但由于建模復(fù)雜、計(jì)算量大,只能料是各向同性體,但