結(jié)構(gòu)力學(xué)公式大全

1、結(jié)構(gòu)力學(xué)公式大全1、常用截面幾何與力學(xué)特征表n矗i諷鼻材fNM*B*-1J'un-J-旨十wH11*iJM*14精品文檔4*winIJ-臥！I糾k竄A-MM-4"警知i)Z杯瞬.*»3*h、器百1A*n鑫»fwrmiit<V««»*IFw«：1J:#卜'AMt屮i計(jì)lg-A(f-tf)f*賽ji*，£JJj.bli!*-#""扌”-t1.- *4JJ& .怙i耳iu14*1-1上訃Qj匸喝!i呢*:務(wù)-4廿+#Atf'IfF"J*-¥(&

2、#39;*S!)誓*W4.譽(yù)I*鷲耐U益沖M:p乜注：1.I稱為截面對(duì)主軸（形心軸）的截面慣性矩（mm4）?；居?jì)算公式如下：2. W稱為截面抵抗矩（mm3），它表示截面抵抗彎曲變形能力的大小，基本計(jì)算公式如下：3. i稱截面回轉(zhuǎn)半徑（mm），其基本計(jì)算公式如下：4上列各式中，A為截面面積（mm2），y為截面邊緣到主軸（形心軸）的距離（mm）,I為對(duì)主軸（形心軸）的慣性矩。5上列各項(xiàng)幾何及力學(xué)特征，主要用于驗(yàn)算構(gòu)件截面的承載力和剛度。2、單跨梁的內(nèi)力及變形表2.1簡(jiǎn)支梁的反力、剪力、彎矩、撓度««w*BT殺J41A尸4上肯雄IIRurnTimii叫祥力15力sn捕力W*殲式

3、»-托.-Ff二祐吋旨ftsiginlithihihj“WAjfpTTlIUJJ若U討"It1-撓噫3如.=AL力*r醫(yī)力HA電距WA宥疋«*3Mf；TR&古WJ?4-托.土¥F賞*=址和vWh力反力測(cè)|皿聖R>竽；*嚴(yán)更（P-¥）IH承當(dāng)L誓虬譽(yù)（眄J臥"刊':十十務(wù)（Y號(hào)）卄占鬥Mz菊力豎審盤*卜務(wù)時(shí)斗M-*w（4*i'（:_r）J£_丨吭山.£LtiLA!_血_L冒里醇力SS探陜+翳宦訓(xùn)和氣護(hù)肌=«-?v#'-H.5T)二I_1I-I.'R昇Vi-R.a

4、s負(fù)力現(xiàn)11川1皿嚴(yán)/ju*J科力hHlIUMP噲】i寫J密備AkflId；JT2.2懸臂梁的反力、剪力、彎矩和撓度FTHtMft斗fwn建ZFfrrrnTTTn詢力niiiiiimiiuiit+WM.-F.iM_=M=-R車十曬=益iiulIMnnnnio扳方苕力M,-F(jr-*1:-WM*s示4B|計(jì)H丈31(疝1iHr反力ftb=eF11力WKW®J*f»-ayJFr噱ftft3JIh*，4Hjiriiimiiiriiiiiii反力>1-1LJ丄HAV.-«B胃坯Mh"Mi今cminnnijL叫七日sjinthiiHB用力t±h&

5、#177;4IV力ffirt1IlTlD9S-乎d)財(cái)DAftJ"*黑（I專存閆ffltABAPLb«-*L,I力6*«W葉-于席力7Mt2.3一端簡(jiǎn)支另一端固定梁的反力、剪力、彎矩和撓度耳£2（卜+h嗆瓠知牡*=力fR.“CDK,X-aBfinW,5k3L«些x=6.44TJ時(shí).艸二D.DM13罟CBHST)二擊(3Pt-Z)-J+F(*-)*知”汁-鬧網(wǎng).=血=“4Mt=-I-y序litM目艮辦0仁二口力當(dāng)M7LI；訂iihhini«A*-|ffn*I2亍(畸普w自jQ.4iifE-,UWO.WI5+2嘗自和瞅M*m的力it鼻式V

6、*«Ra1%心+站T駆2樺*)fiiJj審力尊薛=肌聊力M理L4Ajl(3?r-«»)*襯”.(J1HIIIIIIfKH:林=冠土tffji(3rfJ-r-t*-01<*+l2Nfj=«<Lac<i歸stitBjC74iJtA卑(12i初J閘，眾aJRa會(huì)j4Ftp=sph1V,-fug訕y"L*中毗L訃廣即*力UTTWkxiiuACHr呱241JdS-眄<1!:A|>j1CD禹器|4R«r-U"*心X*於r+f<x-H.)*J2.4兩端固定梁的反力、剪力、彎矩和撓度4IBU力4前力叫譏反

7、力耐和=&咋=一附卄It充?w-M尺十用廠于丿T111111hJts7(Z*"*)iWJJLUMrilU1ZTiUlC川咖JAC禹+制-肌宀M宀子j£C»：斗"洽尺-皿+號(hào)（2.5外伸梁的反力、剪力、彎矩和撓度前力i?力vtFlV)i=R|11J-fIlllJH反力力rnumotv*-*JL；v-ffs目！工=a魯0.$J.q打聒imHniiJini!ftfltM*=Mh，=-F&出*“上JSV»R撲式mq艮力蘇謁“葉）：陷選（一判"mm77b丄LMFHJ為力WrW*ci>0.號(hào)上十(1*'域十)nur-

8、iITTTH'-,攝度%磐（"“樸諾）4am0IftA程亠耘¥小1十于（1*2j）miiiiitiin2A'_L_tJL.DX力rww他恤“-扌*專(if)XlUJjJX“爲(wèi)1劊5醫(yī)力2劊紂引5-普c1t£1兮沖IF11hfl*v*t"f"*¥*e忻a真r暑w題”血亍JJ1制"節(jié)）r-«+0.125/“嚴(yán)t詛忻2】畧-JVHitwarzJjU力-V>=Hi/皿彎審1js*O.JJr.扳力2主at崛力弔屯urminnAf>q；Mb'zfl7丄0h半（屮十令）：¥（小勻叫-

9、吋詔踣出時(shí)磐卜1"討$|“牛«-11|T)M*_時(shí)=-y呼上“u*睚,W櫃廈需力屁力（W/JAtfr-詈劇V)徽信號(hào):才iuL,b-itwitLQ!;B+'f辰力»-IM.町_21121叫n-Vhw-町,TE廠亠wJW盧Ml-Mf»*¥力ftAwc-4EJ“Tj出上口+時(shí).V/f1盞古3 .等截面連續(xù)梁的內(nèi)力及變形表3.1二跨等跨梁的內(nèi)力和撓度系數(shù)序JT力青廈申羸St豐MiM)Ma楓1VWv«%1J4<-<M)U/t)Q,(J7V.i-Q.G?V-9.125OS-0.21-Q->?54$2】Q.»1

10、OJWt-.C$3J0.41?-.-fl硬、0.04J0.065fl.>12-0.W1ililiiitrr-'4_*#-3frftrti|0.15&0.1S4-Cl.IW-.-0312_-a.Mkma1-fl.M20911®1)4fr»$JJi1L0.2VIOOM0.4CM1;-C5Wri(ws00*!.W7-o.neJnrnj1>0.12211O.6AT11.333U330.6&71.4U4U,2?S-D腫0問-K1670.1*1L.L卜i.od1,注：1在均布荷載作用下：M=表中系數(shù)Xql2;V=表中系數(shù)Xql；2在集中荷載作用下：M

11、二表中系數(shù)XFl;V二表中系數(shù)XF;。例1已知二跨等跨梁I=5m，均布荷載q=11.76kN/m，每跨各有一集中荷載F=29.4kN，求中間支座的最大彎矩和剪力。解MB支=(0.125X11.76X52)+(0.188X29.4X5)=(36.75)+(-27.64)=64.39kNmVB左=(0.625X11.76X5)+(0.688X29.4)=(36.75)+(20.23)=56.98kN例2已知三跨等跨梁I=6m，均布荷載q=11.76kN/m，求邊跨最大跨中彎矩。解M1=0.080X11.76X62=33.87kNm。3.2三跨等跨梁的內(nèi)力和撓度系數(shù)JW*B'睜卻暈*j阿Ft

12、中點(diǎn)桅覆M)'1iMCVMJJVcfc%»2W|D.QM1D.02So.j(xiika.ioi0400O.strD.WM10.6T7ft.677掙用申點(diǎn)掩宦靑51MjF30"詰1伽7唧01(MWR乳5ft2S2DC0.3110.W1?-05WfLT0374ff力-OriW-0023J.2451Iuo>L.ooa0.Hl-1.JI)-0.71.3J21.E322(LOW0.332"1跖O.1W0£WilW5-kfifiT27lt注：1在均布荷載作用下：M=表中系數(shù)Xql2;V=表中系數(shù)Xql；2在集中荷載作用下：M二表中系數(shù)XFl;V二表中系

13、數(shù)XF;。3.3四跨等跨連續(xù)梁內(nèi)力和撓度系數(shù)精品文檔*1t.ssaIZ入供注：同三跨等跨連續(xù)梁3.4五跨等跨連續(xù)梁內(nèi)力和撓度系數(shù)注：同三跨等跨連續(xù)梁精品文檔3.5二不等跨梁的內(nèi)力系數(shù)L2L二4叫r_靳.J1M1J.w.】(*.1(J】't7riiw«mi酣0Wrm-u聲O«4W-ina>0MTJP9II4I'M*«atm<1VW.MlJ-»皿t0*1*ww>4Millliqd4TM«imjHMRonsM5Uy0*£arm-MW4WIBLMd期fWl»H.d-11UA.Uhl.THbFU

14、71;ft砂+LIMdliak*rivi*im«imMHIM.u*ILUHdwifi-.3f*11UMhJiT»irt-«HfejfeiiMiin揃Id04i*Mi-.gaiis*eEJiM-Bi.MSI«M15*.*.iOlt44ri«mwti«*«mi立JJW十Tffl建nit.AUf«_WTQ1畀*A1*14-trtr«BUjke#fr1Mn1*9>,4-4M-曲聲f>NV用畑fehinj«.Mr?IM*-liFFHim.Oft4JIV吟>1ulTWiwn«&#

15、187;IWimijiti.VEid*j«n0«I.HUfrMJMQ¥FtaIJdlll««BM*、«Ml>441ftfUH-fwu叩0*tfr4at弘*|(HI4JT1ivinD/KM«W1-1IIM注:1.M=表中系數(shù)Xql21;V=表中系數(shù)Xql1(Mmax)(Vmax)表示它為相應(yīng)跨內(nèi)的最大內(nèi)力。3.6三不等跨梁內(nèi)力系數(shù)j”UhlkuIN1*1wu,jW«*tt,TMEJW*11”MWin如.沖«HWtirtv1*15網(wǎng)時(shí)P'1wir;Mli«rt*.Jfl!丄審-盯站*n

16、“MbI1|JBMil>a«Mm*4Wv.twu訊AUfem9kbKI1FtQi.rJiKMIAiMwMTIIUU>IM?H-TB.1"JU*a*?Jlbn!.AnuH11山訂*«他輝1Hw-督卒WVR*»feH*；«MUlf1itaJI4IHllllRliHH1片wnnEdrwit#4if*U2JIAkM'ffVA|itt.4X14-.4IW9tailQ*Mi>imCIMIt|A.«44*3電ifHV*wQ4MMo4M*nt?t*,Mli4tm>4MflTW>lOH4ft4V3VMHfiY&qu

17、ot;*414If9V9V4MM?辯D3!>e.?w1.wrrED|W*-VM-M>ISD屯.JW«>pn*41nimff.IBMTTtivanPWM>n|Mii*.nu*gmM*1M3n»JI*iMiljr%IL4J*flBla.iiHit¥411n4il-af»Jirftims»nnft-rmW注：1.M=表中系數(shù)Xql21;V=表中系數(shù)Xql1；2.(Mmax)、(Vmax)為荷載在最不利布置時(shí)的最大內(nèi)力。4 .雙向板在均布荷載作用下的內(nèi)力及變形系數(shù)表符號(hào)說(shuō)明如下：剛度式中E彈性模量；h板厚；V泊松比；3、3max

18、分別為板中心點(diǎn)的撓度和最大撓度；Mx為平行于lx方向板中心點(diǎn)的彎矩；My為平行于ly方向板中心點(diǎn)的彎矩；MxO固定邊中點(diǎn)沿lx方向的彎矩；MyO固定邊中點(diǎn)沿ly方向的彎矩。正負(fù)號(hào)的規(guī)定：彎矩使板的受荷面受壓者為正；撓度變位方向與荷載方向相同者為正。4.1四邊簡(jiǎn)支iJhI業(yè)fLSfl0.01QJ.1債一購(gòu)陰U0174OKOo.nawjQ.O5610OOW1O.OZIO0.K50.005470.050S0a.MNGMa.«2420麗51D輕Q.OT7斶0.0271IMP”0粉0.700.01727心堿冷LJ4U6G一伽儲(chǔ)G心站0.7S)Fl(MIDa.wn|at-衣中蠡牲吝科蠶亠赤審耶靈

19、也”dlir人4.2三邊簡(jiǎn)支，一邊固定4Jh/AMtM：5、f八WHM,0.3VO.OOKrtO.M«)1V.WKI0J212也Aa<iy.v4u.onta.ci2w-D.0BS31).55LOCMWO.OM>(LDUMA】耐0,90O-UOMJ!0JU21tb0322U.D92t0«0O.UU472U.U53*0.0104-0JISR0WuatHl?0謝O.CJW0.0U70".邸0.0EM481.05B0.0126)-0.1124O.KOUJW4710.032ba.mm-0.1014lh?(J0.00422ti.u«es0,D|«

20、;H0.1t»S7U.75Q”M«M0.D5I9u-0-IOMjD.7JC?,005WG.A4576568-il.JMHDMLKOOnM0剛0.DS5Jl-a.icmC.BOQ.M376Q.CHZR,1(7Q.HW7D*時(shí):J.血甌仏陽(yáng)1O.Q627-。ll>3uk5(1,00)92劃400-c阿片D.66U|.-r»：L®hA.ovtnTlJ畑O.Mfl.DW25*,037JO.DQIV-0<W330.*erm粧冬W2H(th期LftJlM隊(duì)轄KM)tooO-tJOX*U.CM2HS1C.OAS.031V0<Q2330.024JO.M

21、I閒-Q.(KO.luJUU§站D.QIU、UM剛U.Yuuuij三=m4.3兩邊簡(jiǎn)支，兩邊固定?ST豪申年JrL,粵樂=蠱屮條敵V科】天屮IZ旳i.f>r,-It11M,神13M.Mrm20,500-D026L右_04“0.A17-0.M43。忌i'iij：2>0.02964U9-O.DUo<135o.oq250.0010o.w卜OMrtft115060-0214WETif,w'9.mss4.Q4O2POfHZO-W54Q.WU.ooM*QJIM40fl2W0.QD25QV.0392氛囲y?0.M2&D.aum0.03190勺珈-v.omI

22、L?TK劉0rW72-O.QCW0.T5O.QQ41>0.03210.D37-I0.09590.7500021fto.onss'0.O7W0.70Q00-J8Jo.on；口glo.1VUOKI0O012S0.03510.01030.arts0.6Srioo河0.O3OS.D.05l«0.1VMO.S50U012U0.0J350.D1IB007630.600.WW4Tt.aamO.D&tM0.1114<J-«|0.000310.0319Q.O|13-H07nIL5'000741002ft?叮映0U156(T.9$000201«Ji

23、.W0.0146Q,idtr.-nflTmWn.11ktc1,w_G.D01Q20.2邸a.dim-flWftL4.4一邊簡(jiǎn)支，三邊固定我中疑就亠七玄中*農(nóng)匚杖。中覽耗水轉(zhuǎn)J*t11.他性M：M：0400-00級(jí)0一皿曲-0.W16-oohfi0.550«002550OJ9®0,(WM2-o.oai?Q.UW0.M仏（KU的O.OU4O.tMMD.0B14O.OS7IEL畸0.DM*D.wfe-503吃ff-TO樂QQ2欝Q,O550trmj-0.0774-aosTio,n0.UU2PD.D1HUI1UV-o.ooso-.0572a.no屮厲門MO.OMD0.01340.M

24、M0.B5910ULM0.0280-013BO.OflW0.05670.900.WLM0026&O.VIS9Q”哄孑-O.QSM4鄧也001力o,oantt.EIIO-0-«M7陽(yáng)1.00l.lxrO.0D16Q0.Q1Z7l*t|ARIt.0(500-(1(M50Q.«S0.001*20.D2290粗O.O&29.STO山00沁0.02aftW1-0.065*U.O&33。啟,仏00為】9.0123O.O2J50.06&3-(1.0711址紳山00如0.U219l».U29U-O.OTO70.0772(1.75屮,00仙blHOK

25、0.93W-eowO.Oftl?<1.70<1.0027OiQIMO-CHTflOlO74H-0.0*0306SO.OOMSQU175O.CMUO.07M-«0970i>6aO.OOJOJ0HS3Q.tKM-ownOJOA3(M,ILiKMATQ.GI27th*5-WiWi1乩>30.J0C.Q046J09534-0.07M-«11444.4四邊固定,1-lrdrr-«1嚴(yán)JJJLil111卑#Lw.11li'VlnTir'"-Lnntntminn(/u1u1M%M；-o.他0.0400o.nm-0.M7DO.JS

26、ono240.03H5O.OOS6O.OS140,0571t>aO.DO2M0.0367tl-WTfrQ.U7?J62O.DQ2Z44怕羽U.0Q950.076ft-0-0571Q.7QO.KHIl0.0321U.OHJad?j3O.OSftfl06O.QQl-9762瞬0.0130-0.07U1亠0一攻sOHO0.001S20.0271O.OIM-o.nM-O.OS99O.«5000lt>80.624bn.niM-o.awO.tKJlQ.$Q0g$39r92ZlGUI*,-叭倚曙-0.MA1o.w(IEO1400.01W0.017Zo祁卸-U-住訂f?1X0ll.l)l

27、>K7O.ORfiil.OITft0.05134.5兩邊簡(jiǎn)支，兩邊固定W、0-Wo.oati0.55DJKMXDiMlO.b5O.hf胃典D.TtJnimAa.?3O,SC0JK11130.M55002耙O.9UU.VU261051J«£JZ311QO1100250.USS4.IM179心MM0.0104IL屮卜U+<M6IW.HOI72Ot«39Q0.4IMfi.0354Q.U2D40.03220,021SCM3to,on4血時(shí)0.C2M0.CI2U0.0234M：-0.1179-D.O744A0.4N0-0.0TR5-0.07M2-oaws-0.0

28、T77-O.OW2-n.077ft-fl.(174(1.0上皿-mom4"&U.HHn”'：呻*0.0677*0.075 .拱的內(nèi)力計(jì)算表5.1各種荷載作用下雙鉸拋物線拱計(jì)算公式赴克R*l!*鼻=見R屮+贛肘曽臥，什冒附IDf4(L-知曲2十*H謐除陽(yáng)囁電討.務(wù)煜I-務(wù)/X,Me=當(dāng)F於陽(yáng)耘"卜->(1)(2) B矽町倉(cāng)桎崔厘i13)*1I»LA舟町RtSiiflLft炭EHiT寺護(hù)H*-舟*2繪_2-fKrWfc-0H*=-電*Me=7<3Hr-H-0<l)U)(D2-2-字龍點(diǎn)情聲；CHWfP；(2>曙J2紆.H為可匕吃支陣.<3>TP*F.A中可誦収也£珈=叫+2-心*普)站«*-20/|Z=iJ(5-lUB+2-M宀牛町Sn、«e-«Mc-y-r2=.*$-、g+汁亠巧宀芋y)-t/K>G-0.M.4AmE令1)価q()(1)(3)Rjl=-ffi-云4-好殞M嚴(yán)就JF*X4*«n>h訐急襯，為=-盟計(jì)w=莖第叭也7恥寮M嚴(yán)吧(1)2，Z-竽»*(1JH"冬H"昱Mc*0J2>Z*Hb-0,H-P門)2三一卡氐Ha0,Hi-P.Mc«