各类梁的弯矩剪力计算汇总表-剪力计算公式一览表之欧阳理创编

欧阳阳理创编 欧阳阳理创编 2021.03.04欧阳阳理创编 欧阳阳理创编 2021.03.04表1简单载荷下基本梁的剪力图与弯矩图lel+'l+8+：梁的简图剪力Fs图弯矩M图aFa(l—a)F+1lM2la3q4lql2a「~FlFslel+'l+8+：梁的简图剪力Fs图弯矩M图aFa(l—a)F+1lM2la3q4lql2a「~FlFsFs1一a二FlAFs-AMAFs-Melar-MleIqmTM“小MJmI”le5qMm”aF；a(F221—a)日口「M'、qa2z4(21—a)2qaJ2(l-a)a^r a , J1 lqa221a(21—a)2161ql M'\4iT中G----6 1lL(3-、'3)l37L aFfTFM儿恺Fa(+1 1l8। aM1e fTm"Me——~~।~e—।~~~i-i4 L1 l+9qF、1M/qi懵JzqlL-LLJ—夕 丁k, 1TT'T'T'^2_l_——1—■————■———'—■—,—■—1-2欧阳阳理创编 欧阳阳理创编 2021.03.04欧阳阳理创编 欧阳阳理创编 2021.03.042．单跨梁的内力及变形表（表2-6~表2-10）（1）简支梁的反力、剪力、弯矩、挠度表2-6

序次图类图示项目计嶂式荷载AJ反力J?A-Rfl=：T生■―।L剪力VA=Ra；vb=-Rh1雪矩1弯矩MehUf? '的力提度F-Wm=48E!rf斗，反力£A=y-F；RH=亍F荷载H7前力va-ra3vb--k&2L-L弯短弯矩描度若。:>&时，在上々居Q+助）虬剪力口IM[mmgjjw.Fb〃J+2陋产他2-9£?打V 3荷载上户]-Jb4反力Ra=^b=FL_匏力VA=ffA；VB=~Rb3背矩弯矩Fa剪力nm_II1H挠度加3、4EF门八一4一）荷趣I1.i.//41ifA*反力Ra=；力才1,剪力%hRa；Y产-Rb4考矩ylllK琴矩融2=/用剪力4wwJ挽度.19F妙w™-3B4E；荷载4RL15TTTITI迪反力Ra=&=上皿1—iA剪力Va=Ra;V&=-jRb5期矩1^1LL1L11U1U^弯犍m皿=/q产剪力1捷度z*皿384EI序次图类图示项目计篙式荷.载a反力典力我产Rh=qaV\=Ka；V&=-i?B弯短弯矩剪力挠度孙悉7⑸。"）

4tslt.1荷载反力穹矩剪力荷载弯矩剪力荷载弯蛆剪力7JiiniiIil4nTHrni2卜卡」占，一口小 711川1I典力弯矩烧度反力剪力弯矩挠度反力翦力弯矩挠度va=ka；vb=-j?r当工篁~-时214,MN啦小居）=亨"十Y宜心之一式_拉i匹+（工i-£产i1}i6产J条X到Vb=-J?b当M=。+Mw噌（…到蜡（”资广y察［卜邛一为R产心喈以=£相VB=-RhMe臂卜-方如一/c止4/8廿品（■/+¥1）（'工'6时）（CB段）（2）悬臂梁的反力、剪力、弯矩和挠度表2-7序次图类图示项目计算式1荷载反力RlF剪力3-Rb弯矩^mTTnrnTrni弯矩M\=-F*iMmat:=Mb--Fl的力mnn1「]|]j挠度_na珑mu=聘其=运荷费 修B反方&=Fj仃L .4 L,LA剪力vs=-Rb弯矩弯矩Wj--F(j-a)fMe=Mb=-Fb剪力挠度—以=警（a£：

序次:图类图示项目计算式3荷载(,nFIIL_L|日反力/?耳=nFil=K剪力外工-Rr弯矩弯短_用21理努力3U11口Will挠度如册-口4- 24nE7式4荷载A：ininilmimics反力/?&-承剪力3-公官延穹矩M.n如=剪力^UUJQJnmuD挠度JiA遥5荷载Aq_FrIIr^r±3反力Rq二部剪力VB--Kb弯矩^rfrTTrrnTlTn弯矩Me=Mr=-等(2-a)剪力^wnnniD挠度W3B*嘉（3-耳闱6荷就ANQ「儿 cUiu^L 口Lb ■i，反力jRb-qb »r ' L |L剪力VB=~Rb弯矩 -dil弯矩ml-亨剪力7挠度*怒&+)

序次图类图示项目计算式7荷载反力拉日=如剪力vB=一五口弯矩――-—rrTTflTfl零矩M.=-qcb剪力挠度皿-鬲（12附-毋…）（3）一端简支另一端固定梁的反力、剪力、弯矩和挠度表2-8iiiwnn】iFiCkai- bFJ[114r 1__序次图类图示项目讦算式4荷载反力K"/通&="1""+ -J,剪力VA=Ra】Vb=一尺6弯矩 弯矩当H=♦:工时，Mg=：*◎ 1ZS剪力Q±la^JW[I3提度当上=84如/时，品皿工0,00542对E15荷载§仙如甲！. 1二反力会a=W(8-6tr+e3)rRb=^~(6"冉…=fis OL *剪力/==VB=-rb弯矩lUU弯矩当工吟时，mT剪力irpFTb^ 1IE携度ACS：ws= [4Ra(3/2j"t3)・4的(3W+a1)工+总工"1£4上1EC段：%一24瓦]4Kr(3£，一，)一般(i5+12blx)+60工*-4h*]当h=o：时,[44克八-34'⑷2+”)]Zh-JELi6荷载工."川和||如反力以噜"外回吟吟）j/丁一剪力『产Rr；匕=-艮甘弯坦*尊矩R j—=口+才时1网…网，+劄翦力[Trrh^mn挠度AC段：[Ra凸E%-±3)=咕%]BC段：n%=Bdj7r[4Ra(3f2.r-,E3)4射3工+g(j:a}]£4£rl当x.—a时上印*-加[aJ?A(3l2-a2)-qb\

序次邮图示项目计算式荷戴小_w「n川、目反力治=器（12%-4庐+击h或9=曲一丧*剪力3R始7弯矩3UjJJ皿射小穹矩当工工41+§时.RA（+期）蚪力"Zur挠度AC段：叫一卷HH&（3产±-工3）_弧（腔/+叶）工]8段：Wz- [4J?a（31%-h3）一弛l（12原十好）工+q（工-<2i）*l（4）两端固定梁的反力、剪力、弯矩和挠度表2-9荷教弯矩翦力剪力丫*=旦0VB=-RB2巾/弯矩™Umi反力挠度反力Mm=彳Ff=吧砧2—192EI序次图类图示项目计算式3荷载 g jjlJJ1[HT»ll!1[[1ll[[l^p反力J?A=&=T4 < ^JL剪力Va-Ra；V&=-Rr --———r弯矩Ihv弯矩M”里y■LIIHIH翦力挠度』=器4荷载7f||r-IL_n>—?口a沿反力剪力RA=R^=qaya-RaI匕=-Rh1弯矩h A等矩Mz=*剪力挠度二e:-t) -liimi34E『5荷载1 反力翦力Ra一卷(2-2a1+ ：R/第(2-a);a=y-va=-R^;vE=-J?B lllllJlIhlll=_察fJL.号矩1IWk.弯矩Ml12当上=西时9(6-&a+3(r2)i«~~J~口R"Mz=：^+Ma工寸7mujjjx剪力hTrr^痛度4c段；一尺八工3一3.小工2*年)BC段：*=言y[-KA.rJ-3MAr2+手(aJ-4a2r+6ax37h’)iiiiiiiiii

序次图类图示项目计算式6荷载上_口lb工ai1*Q」反力Ra=R『手酎力ya.=Ra：Mb=-Rr弯矩■力琴翅[m-=察3-3十+高剪力Hnrik Vil111,111挠度』=嘉卜-2节邛）

（5）外伸梁的反力、剪力、弯矩和挠度表2-10序次图类图示项目计算式1荷裳1F反力Rl(1+±)f*Rs士甫FC4% Z斗上 剪力Vc=-FiYb三-Ra=j-F弯矩7Tmm萼矩Ma=MA=-Fa剪力_(ILLlJIilll.j挠度叫；二E11+外lltlll当上3&+0.51时,8而口三一。刀&42臂荷裁T.f IJaL反力Ra=Rb=F : 1-f剪力VA=-RatVb=Kb弯矩弯矩MlMb=-Fa剪力mu-挠度叫"叫广需上C凸）当工=O+0.52时，叫距=一黑T

序次图类图示项目计算式3荷载反力:5:母吟（1一行II11FIIIIIIII1I1IIIIIIC b剪力炉法=一登：V\t=R*_强；VB=-Rb弯矩xUIbijx弯矩1 2肘儿=若£＞明当工=/（1+管］时，Mb=察"齐）翦力挠度七嘉（T+++3用4荷载_ q）反力Ra=Re=+（1+2fi=f口+2公TTjiiH[jnnLf .4一上 」」rJ翦力.造二一骈M炉柚=/第；Vbe=- V^=qa<T ff穹矩弯矩-+必2=第1-4卞）剪力y挠度一备5T阊5荷载q3_irui反力.2+9"SR产一枭4」「剪力ya£=-W；胴岫=^bh「Kb=；7《fr萼矩^nrtnTTr^r弯矩Ma=以=~券剪力挠度叫=生皂（4+年）c24EI 1i当工=。+0.4231时，8nlic=-0.0321髭了jC-je■ifinimiNiiiivb=rbnrrnn剪力a序次图类项目MIIIUI皿1鼠弯坦的力弯矩Ma=-掾：Mb=r索I-23]剪力 rrrn>^..'adQvb=rbnrrnn剪力a序次图类项目MIIIUI皿1鼠弯坦的力弯矩Ma=-掾：Mb=r索I-23]剪力 rrrn>^..'adQ弯矩Ma=-阿*/=逮穹矩弯矩荷载若矩挠度弯矩挠度反力剪力A=一Rqi产广Rh#c=3口=^(2里冲-1曲反力叫三五而反力反力VAi=-qa;=VB=Rb_3aIF4/EJHIUI剪力荷载弯短挠度当工二剪力荷载弯短挠度当工二1+于时，*=五百3．等截面连续梁的内力及变形表（1）等跨连续梁的弯矩、剪力及挠度系数表（表2-11~表2-14）1）二跨等跨梁的内力和挠度系数表2-11序次荷载图 ।跷内最大弯矩支座弯斜剪力 |普度中点挠度MiMiMrVA1%%MlUlj1qLH(].(I7Oo+o7o-0.12S10.375-0.6250.62J一。.3750.5210.5211再｝/3__Lj"(V|)r小玲)2史0.096-0.0630.437-0.56S0,0630.0630,912-0.39111L?/34 d 43—:0.1560.156-0.18S0.312-0.688^0JL20.9110.91147Q FT B c-+――--+ 1 +0,2031 --0.0940,406-0,5940.0940.0941.497-0.586

5M曾2i *…才D.2220.222-0.3330.667-1.333L333-f),6671.4661.46663 96D.27S-0,1670.833-U1670.167|0.1672.508-1.041注：1.在均布荷载作用下：M=表中系数Xql2;V=表中系数Xql;w=表中系数x-ql4-100EI2.在集中荷载作用下：M=表中系数XFl；V=表中系数XF；Fl3w=表中系数x-Fl—100EI［例［例1］已知二跨等跨梁l=5m,均布荷载q=11.76kN/m,每跨各有一集中荷载F=29.4kN,求中间支座的最大弯矩和剪力。［解］MB支=(—0.125X11.76X52)+(—0.188X29.4X5)=(—36.75)+(-27.64)=—64.39kN・mVB左=(—0.625X11.76X5)+(—0.688X29.4)

=(—36.75)+(—20.23)=—56.98kN［例2］已知三跨等跨梁l=6m,均布荷载q=11.76kN/m,求边跨最大跨中弯矩。［解］M1=0.080X11.76X62=33.87kN•m。

2）三跨等跨梁的内力和挠度系数表2-12序我…野内最大弯矩支座弯矩翦力爵度中点挠度Mim2MbMc%vsff1草也Vet叫.,W2WJ1，-,一「「,W-r D.080a.025-0,皿-fl.100Q.4M-0.6000.500-0.5000.600-0.4000.677Q.G52O.t577?Ug竽§〈y?

序次一一1荷载用 !酸内最大弯矩支座弯短剪力瞬度中点饶度MiMjMhMcVA%展Y弗Vd忆Wj;■73.101-0.050-0.050M450-0.55000.550"45。0.990F旌50.990mJhAA自cB3p.075-0.050-0.050-0.050-C,0500.500-0,5000.0500hO50-0,3130,677-0.513Lim A f D4).073L054-04117-0.0330.383-0.6P0.5730.365-0.208HIin -0.41^今食£金0.033U.U335。，网!-0.0670.0170.433-0.5670.0830.063-，。17-0.0170.8S5-0,3130.104EUJJLL0. 4 々栏A S c D■'“，J—UM75klOO-0.1SQ-0.1S0I0.350-0.650Oh500■0.5000,650-0.3501,1460,20S1.146乐M)令(掰2a方4—，4_!* 1 #f iJTJ1'T <7产 产D.213■=-0,075f075(M25-Q.575Q0575-0.425i⑹5-0.9371.615i8g8B £ 0.175-0.075-0.075-0.075-O,t)750.500-0,5t)C0.075i0.0757.4。KL46-0.469? 89一匕—. K16?3.137OJ了5-0.05C0.325-0,67；，丘25-0.375(),0500.0500,9900.677-0.312△ d a 口d 务 C D

序次荷截图畔内最大弯矩支座弯矩剪力跨度中点挠度Mim2Mh|MevA丫岫W1W2研1口4 乱 口 4A B C DD.2(X1-O.1M0.0250.400-0.6000.1250.125-0.025-0,D251.4580.4690.15611RLn1丁W.£金2 3D,2440.Q67-0.267-0,2670,733-1.2671.000-LOOC1.2^7-0-7331.883Q.2161.8B3户「一一之产凸 ◎ 口 心」A B C Dk翻9_-0.133'04330.866-1.134-0.8662.716-I16672.71613专|F凸一 △凸 凸A B C 口一0.200-0.133'O+B3-0.133一0.1331.000-1.0000.J33Q.133”8331,883-0融f1匕41JrD.2253JN-0.311-O.ftM。,硒-L3111.222-0.77£0.089Q.089E6051049-0.551£t △ 凸 &A B C D1;《今全2Ak27工1--0.17(j|0.044Q.822-1.17110.222J0.222-0.04^704$i2.4387.83：i0,278注：1.在均布荷载作用下：M=表中系数Xql2;V=表中系数Xql;w=表中系数x-ql-100EI。2.在集中荷载作用下：M=表中系数XFl;V=表中系数XF;Fl3w=表中系数x-Fl-100EI。3）四跨等跨连续梁内力和挠度系数表2-13荷载明弯矩的力跨度中点挠度M］中Me中%支VAV的.匕*Vch皿叫0,0770.036-0.107-0,0710,393-0.6070.536-0.4640.6320+1«6,1hIiiinnuLii1片卢4\XF- 「rfl.1690.116-0.161-0.1OT0,339-0.6610.554-0.4460,4461一。790.40^『p4C 4口 上①凄② ①tE*①*4'&十①工0,2380,111-0.286-0.1910.714-1.2S61095-0,9050.9051.7640.573注：同三跨等跨连续梁。

4）五跨等跨连续梁内力和挠度系数表2-14荷载荷图弯炬W力蔚度中点$W*度Mi中中M?中M味Me支VaVb£%%皿1WiXUJ川］山|］」|||］||码1).0780.033D.046-0.105-0.0790.394-0.6060.526-0.4740.5000.644D.1510.S15J匚J1匚1).1710.1120.132-0.155-0.1180.342"65X0.540=0-46U仇500K097，35日0.603F△F».240QAQCD.122-0.281(),2110.719-L.2811.07L-69贺umo1.7950,4790.918注同三跨等跨连续梁欧阳阳理创编欧阳阳理创编欧阳阳理创编欧阳阳理创编(2)不等跨连续梁的内力系数(表2・151)二不等跨梁的内力系数表2」52021.03.042021.03.042021.03.042021.03.04、表2・16)欧阳阳理创编 欧阳阳理创编 2021.03.04欧阳阳理创编 欧阳阳理创编 2021.03.04z载q"HIM qr11eri)iiu1iti■tllllllL/l_ 1 4=M|L才SJ_A.LA=fl/r&IL （A心M骷Mtjc产附（%皿）(V_)%1"人(Ma)(%)Mk(Ma)Vc（%）1.0iJ1,21.31.41.5L61.71.81内2.02.252.5-0.125Q-0.138S-0.1550-0.173S-0.1950-o.2m-0.245Q-0.2733一-配50-0.3388-0,S750-C.4766-0.593&007030.G653口.05950.05320.0465■03960*0兔504)25604)1900JH.3O0.007g0.0003负他0.0703o.ms0.110KOh13330.1572。一⑻50.20920.23740.2岫90.2978口.33010.4]700.51260.37500-36130.34500.32630,305(10.28130.25500.2263019500.16B0.12500.0234-06党-0.g5Q-0.63S7-0.6550-0.6737-0.695。k0.7187-Q.745D-0,7737-U-8050-0.875(1-&9766-1W80.62500.67610.72920.78360.83930.89380.95311.01101.0W4ijam1.1S751.3368L4875-0,3750一0.4通-0.47080.5164-0.5607-06042-0,S469Th6890-0,7306-0.77J7-0,8125-0,913210.09370,0970049820-09930.1003040130.10210.10290-1037"1044IM05。ft.10650.1075。㈤750.44050.44320.44570.44790.45000,451，0.45370.4554G.45650.45830.46150.W0.09570.U420.13430.1558o,n«81).20320,22910.2564U.285n0.31550.347205跖70.5272-0.4375-O+47S0-0,5182-0.5581-(I.5979-0.6375-0,6769-0门皿-0.7554-0x7y44-0,8333-0.9303-1.0268注：1.乂=表中系数xql21；丫=表中系数xql1;2.（Mmax）、（Vmax）表示它为相应跨内的最大内力。欧阳阳理创编欧阳阳理创编欧阳阳理创编欧阳阳理创编2）三不等跨梁内力系数表2”6欧阳阳理创编 欧阳阳理创编 2021.03.04欧阳阳理创编 欧阳阳理创编 2021.03.04-0,0831-0.0804一0.080。-0.08190.0859=U0918-U.ltXX)-0.1100-04218-fl.1355-0.1510-0.1683-0.J874O.20S2-0.2308-0^552-0.2813-0.354。02000D.2500%30Q0亿35000.4000C45000.50000,55000.60000.65优i0.7MU0.75000.S01X)0,55000.90(H)0,95001.0000R1250i.2500-0,0962-0.0947"0952-U.0979-0.1021-OIOSS-UJ167-UJ257-UJ3g50.15220.1676-0.1848-0.2U37-0.2244-0.2468-0,27Jft-0.2969-0.3691-0.4521-0.5962-0.5947-Q.5952-0,6021-0.6083-0.61670.6267-0.63850.6522-0.(5676-0.6848-0.7037-0.7244-0.7468-0.7710「0.79690.86910.9521(ya)0.460S0.45020.46030.4825O+5!I6U.S4560,5833()1.62330.665L0.70S20.75250.79760.8434-0+8fi?70.9僚0,9946L.03121.15111.27220.01500'+OW1).03080,A4O3O'.OJGS?0.06250.07500,0X850」的OJ344OJ5140.1694(ME&3(1.20800.22的0.25000.30740.370J0.50X8697必310.4169-058310.0880-0.04910.4196-0,58040.0882-0.03500.420Q-0.58000.0874-0.02060.4181-0.58190.0857-0.0059队4141-0.5859Q+0H330,00950.4082-0.591S0.41MXJ0.6CXX)D,0761，附30.S9D0-0.610D0.07150.0582口，3782-0.621S0.06640.07580.36450.6355U.O&O^().09400.349n-0.6510O.OSSOn.11300.3317-0.6683Q.3127().04260.15310,2918070820,20.1742Oh2692-0.730S1).0300-0,0831-0.0804一0.080。-0.08190.0859=U0918-U.ltXX)-0.1100-04218-fl.1355-0.1510-0.1683-0.J874O.20S2-0.2308-0^552-0.2813-0.354。02000D.2500%30Q0亿35000.4000C45000.50000,55000.60000.65优i0.7MU0.75000.S01X)0,55000.90(H)0,95001.0000R1250i.2500-0,0962-0.0947"0952-U.0979-0.1021-OIOSS-UJ167-UJ257-UJ3g50.15220.1676-0.1848-0.2U37-0.2244-0.2468-0,27Jft-0.2969-0.3691-0.4521-0.5962-0.5947-Q.5952-0,6021-0.6083-0.61670.6267-0.63850.6522-0.(5676-0.6848-0.7037-0.7244-0.7468-0.7710「0.79690.86910.9521(ya)0.460S0.45020.46030.4825O+5!I6U.S4560,5833()1.62330.665L0.70S20.75250.79760.8434-0+8fi?70.9僚0,9946L.03121.15111.27220.01500'+OW1).03080,A4O3O'.OJGS?0.06250.07500,0X850」的OJ344OJ5140.1694(ME&3(1.20800.22的0.25000.30740.370J0.50X8697必310.4169-058310.0880-0.04910.4196-0,58040.0882-0.03500.420Q-0.58000.0874-0.02060.4181-0.58190.0857-0.0059队4141-0.5859Q+0H330,00950.4082-0.591S0.41MXJ0.6CXX)D,0761，附30.S9D0-0.610D0.07150.0582口，3782-0.621S0.06640.07580.36450.6355U.O&O^().09400.349n-0.6510O.OSSOn.11300.3317-0.6683Q.3127().04260.15310,2918070820,20.1742Oh2692-0.730S1).03000.19610,2448-0.75520*023903880,2188-0,78120.01060.27居0.1462-0.8538fl.00190.3437-0,0625-0.93750.08900.42190E91E0.42S60.09430.13420.09640.43州0.098203432(1,0998tM4«S(1,10130.45000.10250.45280.10370.4554A.1Q470.45760.45970.10650.46150.1073(1.46320.1030CL464s0.1087Oh4662Q.10930.46750.10990.4688(Mill0.47140.11220.47370+U8000.0250ft.04890.1327欧阳阳理创编欧阳阳理创编欧阳阳理创编欧阳阳理创编注：1.乂=表中系数Xql2]；丫=表中系数X%；2.2021.03.042021.03.042021.03.042021.03.04(M)、(V)为荷载在最不利布置时的最大内力。max max欧阳阳理创编 欧阳阳理创编 2021.03.04欧阳阳理创编 欧阳阳理创编 2021.03.044．双向板在均布荷载作用下的内力及变形系数表(表2-17~表2-22)符号说明如下：K二—Eh—刚度 12(1-u2)式中E—-弹性模量；h——板厚；v——泊松比；3、3max——分别为板中心点的挠度和最大挠度;Mx——为平行于lx方向板中心点的弯矩；My——为平行于1y方向板中心点的弯矩；Mx0——固定边中点沿lx方向的弯矩；My0——固定边中点沿1y方向的弯矩。正负号的规定：弯矩——使板的受荷面受压者为正；挠度——变位方向与荷载方向相同者为正。四边简支表2-17挠度=或中系数乂咛若择二表中系数Xq产式中I取，和打中之较小者IJiyW同工%MkMv0.5口0.010130.09650.01740,8D0.006030.05610.03340.55U.A0940。心时0.02100.史0.(X)5470.05060,0348Q.600.008670,m200.02420.900.0049603560,03580.65。一州7强t),07500,0271。.950.004490.04100,0丸40.700-007270.02961」冷0.004060.036300368Q.750.0M63D+期00,0317।三边简支，一边固定表2-18

挠度=盘中系数乂点:挠度=盘中系数乂点:弯矩=表中系数学中正式中，取'和4中之较小者L4WMIMyL凶EJ%媪心也nui见%M0.51)0.005040,0585U.M60-0.121210.950,003240.03240.0280-0,(J8S20,550.004920.05630,00fil一111叫0.第仇003680,03防0.0322'^0.09260.600.004720.05390,0104-0Jl5Mo.&s0.004170.03加0.0370-0.09700.650.004480.05130.0126-0.11240.800.004730.05260.0424-0.10140.700.004220.0485[),014我-0.1087U.75口」5536(MJ3190.0485TL1皎0,750.003990.04570,0168-DJ04S0.70。，雌050.030b0.0553”】(m0.800.003760.04240.0187-0.1007|(L钻0,006800.02910.06打-0.11330.850.003520.04000.0204-0.630+007620.02680.0707-0J1660.900,003290.0572(),0219一。.0阳0.550,{X>S480.02S9也G92-DJ1930.950.003060.03450.0232-0.08800.500.009350.0205[).0880-0.12151+00LOO0.00235(］用3国0.Q243-n.0839两边简支，两边固定表2-19A b二1.J■a '一上7b挠度=费中系数片亨z弯矩二表中系数乂gl式中/取、和『,，中之较小者q- ^LLUUllUir3、It'M&M, m；[ 3工. M,M? mJ0.50C,002610.0416O.OM'7-0,0843 0.95T(),0fl22300296001S9P-0.07460,550.002590.0410th00燃-0.084U1 0.90().002600.03060.0224k[).07970M0.002550.04020,0042-U$834 10,85(1.0030310,031410.0266-0.0850口.6510,00250103920^0057-O.OR26 0800.003540.03190.U316-0.09040.700.002430.03790.0072-0.0814 0.750.004130,03210.0374-0.09590.750.002360.U366(LOOBB-U0799 0,700.0U4820,03180.0441-010130,800.002280.03510.0103,-0,0782 0.650.QQ5600.03080,0518-0,10660.850.002200,0135□.OHS-0,0763 0.M 0.0(Xi470,02920.0604—011140.900.002110.03190,0133-0.0743 0.550-007430.02670,0698-0.11560,950.002010.0302Q.D146-0.0721; U,500.00«4^0.(1234。旬7她-0,11911.00 1.000.001920,02850.01鹃'0,0698 j一边简支，三边固定表2-20

狎II向狎II向ITU|挠度二表中系数入名A弯建二表中系数乂川式中I取人和与中之较小者£*4观1ULBA此My0.5口0+0025S0.0408O.(»28-00836-0,05690.550,002550.039S0.0042-0.0827-0gti0.600,002490.0384().0059-0.0814-0.05710*650.0U24OU.03680.0076-0.0796-0.05720.700,002290.0350(),0093-0.0774-0.05720.750.002190^0331041(明-0.075口「0.05720.80C.0020«0.03100.0124-0.0722-005700.85Q.001先0.02890,0138-0.0693-0.05670.900.001840.026&0.0159-0.0663-0.05630.950.001720.02470.0160-0.0631-0,05581.001.0Q0.001600.0227D.O16fi-0.0600-0.05500.950.00182U329D.O1940.0629-0,05990.900.002060.022S0.0223-0.0656-0.05530.S50,002330.02250.0255-0.06S3-0.071]0.800.002620.02190.0290-0.0707-0.07720.750.002940.02080.0329-0.0729-0.0R370.7D0.00327D.D1940+0J7G-0.0748-0,09030.650,003650G1750.0412-0.0762-0.09700.600,004010.01530.0454-0.0773-0.1Q330.55(1,00457().0127死-0.0780-0,10-930.500,00463o.ow0.0534-0.0784-0,1146四边固定表2-21

强度=表中系鼓乂片：弯拒:表中系数乂d2式中1取人和匕中之较小不网品MyM?M?0.500.0Q25S0,04000.0038-0,0829-0.05700.550.0024603850.0056-0,0814-0+OS710.6。。仙2360.03670.W76-0.0793，D.Q5710.650.002240.0345D.AO95-0.0766-0.M710.700.0021L0.03210.0113-0.0755♦0.05690.750.001970.02960.0130-0.0701-0,05650.800.001820.02710,0144-0,0664-0.05590.850.001680.02460.0156-0.0626-0,0551。⑼0.001530.02210.0165-0.05B8-0.05410*9S0.0014D0.O19&0.0172-0,0550-(1.05281.000.001270.0176doiy-0.0513-0,0513两边简支，两边固定表2-22kk挠度=表中系数N弯延=表中系数X中产式中1取匕和J中之较小若“八33MvM?0,500,004710.05590.0079-0.1179-0.07860,550,004540.05290.0104-03140-0.07850,600.004290.04960.0129-0.1095-0.07820.65口加399D.G4610.0151-0.1M5-0.07770.700.0036S0.0426fl,0172-0.0992-0,07700.750.003400.03900.0189-0.09舞-0.0760O.BO0.00313口.03560+02G4-0.0883-0.07480.850.002860.0322(1,0215-0.0829-007330.900.002610.02910.0224|-0.0776-0.07160.950.002370.0261U.O23O-0.0726-026981.000,002150G234O.G234-0.0677-0.06775．拱的内力计算表（表2-23）各种荷载作用下双铰抛物线拱计算公式表2-23筒图 公式w=J 77 Me=〒一班It*j 4Rr=I1-f）华.R&=yoa艮内=k艮内=kb=:u至1七u二一61*「

H-76flfK,Mc-768第支座情况：⑴无拉杆】支座情况：⑴无拉杆】(.2)带拉杆，H为可动较支座;(3)带拉杆，A为可动较支座。支座情况：(I)无拉杆；(2)带拉杆2,E为可动校支座［(3)带拉杆苫，A为可动校支座。支座情况：(1)无拉杆；(2)带拉杆，B为可动较支座(3)带拉杆，A为可动物支座。支座情况:⑴无拉杆；(2)