轴心压杆板件宽厚比限值的统一分析

115200910ProgressinSteelBuildingStructuresVol.11No.5Oct.2009收稿日期:2008-10-06;收到修改稿日期:2008-11-13基金项目:陕西省教育厅重点实验室项目(05JS18)作者简介:陈绍蕃(1919-),男,硕士,教授,主要从事钢结构基本性能和设计原理研究Email:[e-mail]!(GB50017)陈绍蕃(,710055):H,,,,:;;;;:TU311.2:A:1671-9379(2009)05-0001-07UnifiedAnalysisofLimitingWidthThicknessRatioofPlateElementsinAxiallyCompressedMembersCHENShaofan(KeyLaboratoryofStructuralandAseismaticEngineeringoftheEducationMinistry,Xi∀anUniversityofArchitectureandTechnology,Xi∀an710055,China)CHENShaofan:[e-mail]:Thisarticlepresentsaunifiedanalysisofthelimitingslendernessofplateelementsofcompressionmemberswiththreecommonlyusedsections.ThecurrentdesigncodeofsteelstructuresassumestwodifferentcriteriaforHsectionandboxsectionsothattheirexpressionsoflimitingslendernessaresubstantiallydiscrepant.Basingonsyntheticuseofthetwocriteriaandelaborateanalysisoftheinteractiverestraintbetweenplateelements,thisarticleprovidesseriesofpracticalformulasoflimitingslenderness.Besides,coefficientforfurtherreleaseofthelimitingslendernessissuggestedformemberswhosebearingcapacityisnotfullyutilized.Finally,commentsaremadeontworecentforeigndesigncodesregardingtheissuediscussedherein.Keywords:compressionmember;plateelement;buckling;limitingslenderness;restrainingcoefficient!(GB500172003):H,,,,,1,,:cr,p=k2E12(1-!2)tb2#fy(1):cr,p;k,11k=4,k=0.425;bt;Efy;!,!=0.3;(1):bt∃0.95k(E/fy)(2)H,b,,k=0.425=1,bt∃18.3235/fyfyNmm-2,18.315,:bt∃15235/fy(3)(TJ1774)[1](3),,,,,,,,,1936Timoshenko[2],Bleich,[3]:k2E∀12(1-!2)tb2#2E∀#2(4):#;∀,∀=Et/E,∀=1(4)∀,∀∀,EEt,E,EEtEEtE,EEt,,(4),,(4),∃2E∀/#2(4):bt∃0.3034∀#k/∃(5)∃Bleich[3]:∀=(fy-)(fy-fp)fp(6):,=%fy;fp,fp=fy-rc,rc;%(6):∀=(1-%)%(1-∃p)∃p∃p=fp/fy%%=∀2E#2fy=∀#2n,#n=#fyE%∀,∀=#2n[1-∃p(1-∃p)#2n](7)k#∃p,(5)(7)b/t,Bleich,,b/t,(5)b/t(2)(2),,,1952(DIN4114)[4],:(2)b/t1/fy,b/t∀=1,(5)b/tfy,#nfy,b/tfy,fy22.1H(GBJ1788)[5]H:h0tw∃(25+0.5#)235fy(8)btf∃(10+0.1#)235fy(9)[6],w=1.3f=1.0,,1:4twh02=0.425tfb225&=h0/twb/tf=3.07(10):h0tw,btf1H1(a)1(b)&=3.6&=3.063.07,,1.0[6]Bleich[3]:k=2+210∋+32(11):∋(),w=1.59:4wtwh02=0.425ftfb2f=40.42513.621.59=1.15,f1.0[6]w=1.3,f=0.94,,,1(a)0.94,1(b)1.02.2,,,=1.0,,2.0,(11),:∋=0.381-(2(12):((2)(11)(12)[7],,2(5),b/t,(11)(12)(,:=1.12-13((-0.4)2(13)(13)(11)(12)11(0.50.60.70.80.91.0式(11)1.261.241.201.151.091.01.121.111.101.071.041.0式(13)1.121.111.091.071.041.0(13)(11)33.1H3.1.1(2)k=4.0:h0tw∃56.25235/fy,1.25:h0tw∃45235/fy(14)Q235Q345Q420Q460,45373432,(5)k=41(b)=1,∃1.33,:h0tw∃0.526#4∀(15)∀(7),∃p0.6311[8]T2Q235Q345Q420Q460(14)(15)2H#3040506080100120150Q235∀0.1020.1770.2690.3740.6080.8351.01.0h0/tw式(14)45454545式(15)48556379建议公式4242424248556262GB500174045505565757575Q345∀0.1470.2540.3810.5210.8031.01.01.0h0/tw式(14)373737式(15)3744536379建议公式3535353744515858GB500173337414554626262Q420∀0.1770.3040.4520.6110.9021.01.01.0h0/tw式(14)343434式(15)3643536379建议公式3232323643505757GB500173034374149565656Q460∀0.1930.3310.4890.6550.9451.01.01.0h0/tw式(14)323232式(15)3543536379建议公式3030323542495656GB500172932363946545454(14)(15):#∃63235/fyh0/tw∃42235/fy#63235/fyh0/tw∃20235/fy+0.35#:(1/fy),,:Q235#∃63h0/tw∃42(16a)#63h0/tw∃20+0.35#(16b)Q345#∃54h0/tw∃35(17a)#54h0/tw∃16+0.35#(17b)Q420#∃49h0/tw∃32(18a)#49h0/tw∃15+0.35#(18b)Q460#∃46h0/tw∃30(19a)#46h0/tw∃14+0.35#(19b),#120,#=1202,2GB50017,Q390Q420,Q420,,∃1.0,3.1.2,∃=1.33,0.425,1(a)0.94,(2),:btf∃17.8235/fy(20)1.25:45btf∃14.2235/fy(21)Q235Q345Q420Q460141211100.4250.94∃=1.33(5):btf∃0.167#/4∀∀3(20)(21)3H#3040506080100120150Q235∀0.1020.1770.2690.3740.6080.8351.01.0b/tf式(20)14141414式(21)1415182026建议公式1414141415182020GB500171314151618202020Q345∀0.1470.2540.3810.5210.8031.01.01.0b/tf式(20)12121212式(21)14172025建议公式1212121214171919GB500171112121315171717Q420∀0.1770.3040.4520.6110.9021.01.01.0b/tf式(20)11111111式(21)14172025建议公式1111111114161818GB500171010111213151515Q460∀0.1930.3310.4890.6550.9451.01.01.0b/tf式(20)101010式(21)1114172025建议公式1010101114161818GB50017910111113141414(20)(21):#∃70235/fyb/tf∃14235/fy#70235/fyb/tf∃6235/fy+0.115#:Q235#∃70b/tf∃14(22a)#70b/tf∃6+0.115#(22b)Q345#∃61b/tf∃12(23a)#61b/tf∃5+0.115#(23b)Q420#∃58b/tf∃11(24a)#58b/tf∃4+0.12#(24b)Q460#∃50b/tf∃10(25a)#50b/tf4+0.12#(25b),#120,b/tf#=1203,,,,∃,,141211103.240,0.1~0.29[9]40,0.3,(7)∃p=0.7,∀=#2n(1-0.21#2n)H∃p=0.6∀=#2n(1-0.24#2n)=1,H,,(15),,,H∃=1.33,(16ab)~(19ab)40235/fy2.2(2):511h1t=h0tw=1.12-13((-0.4)2h0tw(26)(13)(16ab)~(19ab)1.0,3.3T,T[8],,,,,,,k=1.28,=1,(5)∃=1.33:h0tw∃0.297#/4∀(27)k(2)1.25:h0tw∃25.5235/fy(28)Q235,Q345,Q420Q46025211918(27)(28),(29ab)~(32ab):Q235#∃70h0/tw∃25(29a)#70h0/tw∃11+0.2#(29b)Q345#∃60h0/tw∃21(30a)#60h0/tw9+0.2#(30b)Q420#∃55h0/tw∃19(31a)#55h0/tw∃8+0.2#(31b)Q460#∃50h0/tw∃18(32a)#50h0/tw∃8+0.2#(32b)#120,h0/tw#=120GB50017,235/fy,4T∀23,%GB50017&T,T15%,T,,4T#3040506080100120150Q235式(27),(28)2525252527313645建议公式2525252527313535GB500172123252731353535Q345式(27),(28)2121212125303645建议公式2020212125293333GB500171719212226292929Q420式(27),(28)1919192024303645建议公式1919192024283232GB500171617192023262626Q460式(27),(28)1818182024303645建议公式1818182024283232GB500171516181922252525T,H3.4,:%f,:cr,p#&R,(4)%fy&R%f