1、表1簡單載荷下基本梁的剪力圖與彎矩圖表2各種載荷下剪力圖與彎矩圖的特征某一段梁上的外力情況剪力圖的特征彎矩圖的特征無載荷1水平直線斜直線或集中力1突變F轉折或/或/集中力偶Mef無變化突變/Meq均布載荷III斜直線、拋物線廠或零點極值yTV表3各種約束類型對應的邊界條件約束類型位移邊界條件力邊界條件（約束端無集中載荷）固定端尸=w=0，0=0簡支端jrw=0M二0自由端注：力邊界條件即剪力圖、彎矩圖在該約束處的特征資料常用截面幾何與力學特征表表2-5戡血邊緣至上軸的距嗎歳由邊緣至主軸的距離VI卡6A十載面邊緣全卞軸的距離-H：|6AI旳心（不一山）ByB8截面簡圖y資料序號對上軸的慣性範A-

2、f+m-k）截面枳截聞邊綠全上軸的距離吉腫+272-（R-b）h：.A-liH-Ui-bVtA-HH-8bh主軸的跑離主軸的距離yih%1lJU1b.15.上列各項幾何及力學特征，主要用于驗算構件截面的承載力和剛度。5.上列各項幾何及力學特征，主要用于驗算構件截面的承載力和剛度。注：1.I稱為截面對主軸（形心軸）的截面慣性矩（mm4）。基本計算公式如下：1=Jy2dAA2.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，基本計算公式如下：W二3.截面邊絳至主軸的距離i稱截面回轉半徑（mm）,其基本計算公式如下：i珂Tbh(62jh2上列各式中，A為截面面積（mm2）,y為截面邊緣

3、到主軸（形心軸）的距離（mm）,丨為對主軸（形心軸）資料資料2單跨梁的內力及變形表（表2-6表2-10）（1）簡支梁的反力、剪力、彎矩、撓度表2-6序次圖類荷載圖*21剪力iiniiiH反力荷載剪力3彎矩55力撓度m反力荷載剪力彎矩7HF剪力荷載迎川也irrrr項目反力剪力反力剪丿j彎矩撓度彎矩撓度反力彎矩剪力計算式嘰-心-號二_R_48jRa7FiRe二寧-FrsvB-JKjlmoptib時*在工二（A+姑）處*二用K宀2腫訕g-g雖V3vA=nAivB=-RBM帕廠甩卯3=嗇7竹廣-如A=B_辛FMnux松喚=1W384EJ必3S4/序次圏示頂目ir算式7荷載剪力荷戟彎矩剪力厘力Ha-心=

4、QHrnw7川II剪力弩矩撓度反力剪力彎走撓度反力荷栽彎矩剪力撓度反力荷載主上口丄/丄凸剪力彎建彎矩Va-Ka；Va-Ru爲d心/A時）（CH段）剪力撓度序狀項口序氏荷載荷救反力妙彎矩撓度反力剪力VrRiVB-RnfrmmR片=J?日=qbVARxiVE=-二翳S呻曲P伍式中；r=arba彎矩剪力圖類荷載彎矩剪力fnrtTbv*wrn彗矩挽度(2)懸臂梁的反力、剪力、彎矩和撓度表2-7項丨1反力剪力rrTrrmnTTnjI反力荷戦剪力彎矩彎矩撓度剪力nminnno撓度Mk=-Fk；NTg三胚e-FlHp-F2113EIMK=-F(JU)；Mrrj=jMfc=-Ffr3-4序次屈類圖示項目計算式

5、3荷載,.nFH11反力nF剪力V-b-Re彎矩丄I；打1hrnTirnnMe-n21鞏剪力屮11111撓度3n2+4n+1“24.EI用4荷載a_.ILllllltlTTJT04-1反力剪力%Rb彎矩11infTTlTT3彎矩Mg-MB-剪力-WLLUj撓度wira=WA=aE/5荷裁I.LI占反力R=qu.剪力F-J?B廠才FI彎矩-rrrrrTTTUni曹矩M*=Mb=-竽(2-a)剪力wnnnn撓度叫f計舶（4知劃6荷戟ArnrrnlaLb.t反力Kfl-qb*剪力-PH專矩彎矩Mr=-字剪力撓度S=翥A-于）圖類圖示頊目計算式1荷載疔予扌反力況R_斟剪力仆-Rb彎矩TTrrTTHl彎

6、矩Mb=qcb剪力撓度叫-磊門21-4衣+砂巧端簡支另一端固定梁的反力、剪力、彎矩和撓度表2-8項冃反力荷載剪力彎矩剪力撓度當工-0,44兀時，址3-0”0旳炭粵荷載反力剪力Va=Ra；Vb=-J?b彎幣彎拒剪力撓度璋矩剪力MJjjllllJUlimr呼inIill反力CB駁：=尺已(Hihf芒)-3F巾U+F(m)A=ft2-3!)1尺L號(2+3亍-3%)剪力J=Ra；Ve-Kb彎矩肚軻尸RmMr-1_JJ撓度CD段：叫=777：RA3fJ：Er-3F(I22ai2ax)xpjtlfF序決圖類圖示項口計n式反力尺人占卡“；尺萬=-|皿荷載TrmrL/-JtaQil31剪力FSVb=陷r彎緬

7、彎矩當二一鏟時,皿嚴空i1LLJ5AC段：rnr叫-24；L4Ra幾一/)-4(3R亠J)+腫*1BC段；7L1；I剪力撓度wx*.(4-Ra(32jc-t3)-qa(aJ+12&Zx)+6iij?2-4t3=aU；suLi.禹茁AuR*(3t2-i；2-3空i*C4ZA+a_!4反力活w剖-滬勻荷載川屜1Mill【：6卜a一th剪力滬鬆;VB-/?HT彎矩d彎矩T.r-口+爭h冏映-/?a+制6ITrtrAC段：叫g&fI.尺A(3/z-：Ll)-rfijr1BCtvui.in圜力撓度tC：-24/4J；a(i2-TT)4fl63.rm:r.a)艸上一口吋：叫&；fLKa(3廠-/)qb序次

8、圖類圖示項甘計M盍7荷載rnfmkL反力1空(.121-4丹廚h弟EL-酬1一縱碼力A=J?AiVB=-Kb彎矩當|+牛時t融十尺叭十謝剪力撓度皿段；叫一24EJ-屆衣口：丁-工-)-7*1(12fr2+薊-T1CD段:題嚴24.ARa咯-申-訕|(12b2Uj?)x+Q(丈-0L)：兩端固定梁的反力、剪力、彎矩和撓度表2-9嚴弋町莎t.Ttr，Er?9氣十嚴亦-嚴迓-卜嚴珂嚴-普-也嚼W亠-口辻嚴十昨-9)U=aA=VA皿#TnWrrb驚f:，叫；:阿1籍亠鞏冉HTTirnTTrz纟W一呵叫嚴V糅八叫二臥年固侶林-ha!M-va兀_n陽_已_廿目竝LLUJdYnTTrTTr,嚴7iiMiii

9、umiHiiiiiiiii籌星華廡車品霸舉第國爼闿資料資料序伙圖類圖示項目th算式6荷載才_IlWl一B屮曰扌b葦a扌*n.撓度wc=D=f（2+t）.-r*0.5/時，ttn.n-詈吉7荷載fL4-反力K號（2+3亍hR滬書剪力*人二-R;Fr二JSn彎砸dflrrrnuyj彎矩血-Fd；AfD-y剪力1llLHillIliPTr撓度叭箸b+斗亍）當工三口+十時.witAi=-荷載1c嶺反力盼普3目亍+哼b吩普-厝）Jr-剪力bAi=-QiJiVa3_Rfi；vb-Rb彎矩uinppA彎矩ML怡阪八曾（為剪力撓度咱黠卜“曙T）9荷栽24_40.096-0.U6.3,0.4377.箕30.06

10、30.0630+&12-o.jyi3r尸zrJAIBtcF140.1560.156-0.1S80.312-0,6SB0.68&-0.3120.9110.9114|F令4bABC4$“I+0.203-0.0940.406-0,5940加0.0941,497-n,5865rFif卜-Lt0.222D.222-0.667-1.3331,333-D.6671.4661.4666T會合0,278-(JJ670,833-1.1670.1670,1672+508-1.042注:1.在均布荷載作用下：M二表中系數xq|2；v二表中系數xql;w=表中系數。100EI2在集中荷載作用下：M二表中系數xFl；V二

11、表中系數xF；w=表中系數X亙。100EI2）三跨等跨梁的內力和撓度系數表2-12荷載圖鷺內Jft大彎頫支麼彎矩剪力跨度中點撓度Mlm2Me*畑%-10.0800.025-0.100-0.10C0.400-0.6000.500-fl.5000.600-0.4000.677O.OJ2o.6n序荷載圖跨內最丸彎矩支座彎矩剪力跨度中點挽度w,MiMrMevAVbk心VcfiVdW5Wy2-rjm.fta!.1O1-0.0500-4500.550000*5507.4500.990-0.6250.903T_丿htWij一.075-0,050-0.050-O.OSfl-0.0500,500-0.5000.

12、0500.050-0.3130.677-0.313fb4qnTTTTTFITJriTnf*?0.073D.054-0.117-0.0330.383-0*6170JS3-0+4I70.0330.0330,5730.365-0,2085fitiItit&、444dCD0.094-0.0670.0170.433-0.5670.0830.083-0J)170.&85-0.3130.1045rrr/(M)倉伽勺Cw844】*.1&+175),100-0,150-0.1500.350-0.6500.500-0.5000.650-0.35C1.1460.2081.1467、Fr).213一-0.0750.0

13、750.425-0.575000,575-0.4251+615-0.9371.615B?8?8DA75-0.075-0.075-0,075_0.0750.500-0.5000.0750,075-0.4691,146-0,4699|F廣2廠飛D0.1623.1370+175-0+0500.325-0.6750.625-03750,0500,0500.9900.67?-0.312序荷載fl跨內盤大支座彎矩力跨度屮點撓度M;MeMeVaN沁Jr/ivDW11iJ310ArAL2DC一CL1DD0.D250.400-0,600.1250.125-0,025-0,0251.458-0.4&90.1561

14、1A|FFf厲A24出).D67-0.267-0.2670.7SS-1.2671.000-1.OOC1.267-0.7331.8甜10.21612AFF?s7.133-1.134001,134-0.8662.7161.6672E613AAAB-U.133U-133-0.133-0.133】,000-14000J330333-0.8331.883-0.83314F|LA|FqrCDn.zsyK17C-0.3L1-0,0890.689-13H1.222-0t770.0890.0891.6051.049-0.55(AV；對*?8_-0.1740.0440.822-1,17；0.2220.222-0.

15、0412.438-0.83：0+278注I在均布荷載作用下：匸表中系數g表中系數心；w=表中系數X冊2在集中荷載作用下M表中系數汨2表中系數心w=表中系數數100EI3）四跨等跨連續梁內力和撓度系數表2-13荷裁團彎篦剪h谿就中點撓度toMz中McsvAW咄：畑%VcrrWJl0.077().036-U.1U7-0.07103M3-0.6070.5360應404M0.632Q.186半啟i7C匸管!罩TrrfD.1&90.116-O.lhl-0.101(M鶉-0.6610.554-0,4460.461.070,409A7嚴(tD.2380.111-().2B-0.191().714-1.2S6

16、1,095-0.9050,9051.7640.573:i:4注：同三跨等跨連續梁。4五跨等跨連續梁內力和撓度系數表2-14荷朝倚圖胯度中點撓度-0.606-0.474J.046-0-LU5-Q.0791).3150.5260.500-O.65H-0.46(.1710.112).132-0.158-U.118DM1.09?0.5400.500彎矩剪Ji035(5Lfi031.24CD.LOOL122-0.2810.2110.719-1.2811.07E1.7950.479.918注：同三跨等跨連續梁nMjy：%(叭J1VVc1.0-U.125L)0,0703(k07)30.3750-Q.SZ50

17、Q.W50-0,37500-0957-0.13880.065310,HH93J).3613-0.63870.6761-0.42390,09701.27”15500.05P50.LIDS0.3450-0.65500.7292-0.47080.09821.3O.173S0.05320*13330.32-0-67370.7836-0.51640+09931.4-0,19500.04650.15720.3050-0.69500.8393-n.56070.10031.3-0.21R80.93%0.18250.2S13Ck7t870.8958-G.6042ij.ltin1.60+2450O.(B250.2

18、09242煩-0.745D0.9S310.64690.10211.7-().27330-02560.2374(1.2263-0.7737roiw-Q.6SW0.10291.8-0.30500.0190O,2t69(1.-orSOSOL0694-0.73060-171.9-0.53880.0130().29780.16B-0.83871,12143-0.77170.10442,0-0.S750(Ln(J7K0+330t0.12M)-O.87SO1.1875-0,8125比呃2.25-0.47660.0003UM0.02340,97661.3368-0.9132u.g2.5-0.5938).512

19、6-0.W3S-1.09381,4875-1.01250.1073資料注：1.M二表中系數xql2i;v二表中系數xqli;2.（M）、（V）表示它為相應跨內的最大內力11maxmax2）三不等跨梁內力系數表2-i61皿盯-0.35400.1111-0,08310.0680-卜)4910.41690.416-0,58040.20000.2500-0.09470.460S0.45020.08900.00.6-5.08W0,7-0.0819(S.H0.08590.9-o.oyis1”0-(I-KHIOKI-1).】帕1.2-0.12181.3-(L1355k4-0.1510U5-0.1631.6-

20、0.1874-0.08040.07150.06640.06090.0S5OU.04R90.加820.0882-0.0350-0.021)60.08740.414IH.0095(L4O820.02500.4WU0*0761().04130.05820.07580.09400.11300.1327(1.1)4260.15310.42000.41810.590()0.3782(1.36450.34900.3317().31270.2918-0.58D0-U.5S19-0.59180.60U0-D.filOD-0.62LS0.6355-0.6510-(I.66B3fl.7(1820.4SD30.482

21、50.0964-0.11670.MW0.65OUG.15220.7D0U0.B50U0.16760.1848-0.2037-0.2244-0.6U21*0.6167-D.6267-(1.6676-0.6848-U.7037-0.72440.S1T60.5833-0.2308-0.2S52th03620J7420.2692-0.73080.90(X)-0.2468().0300(KDL060.1961I.218KCL27B8(i.3437(k24480.21880.1462-0.0625-0.7552-0.7812-C.8538-n.93750.95001.00001.1250-1).2710-

22、0.7710-0.299-0.86911.C3I2-0.45210.952TUO9820,09980,1013資料資料4雙向板在均布荷載作用下的內力及變形系數表（表2-17表2-22符號說明如下：Eh312(1-u2)剛度式中E彈性模量；h板厚；v泊松比；3、3分別為板中心點的撓度和最大撓度；maxM為平行于l方向板中心點的彎矩；XXM為平行于l方向板中心點的彎矩；yyM0固定邊中點沿l方向的彎矩；XXM0固定邊中點沿l方向的彎矩。yy正負號的規定：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。四邊簡支表2-17YpJ1I;JJJJJI；zTIT11fI111V111I撓度匚衣

23、出系數$弓A彎矩-農中系數巾廣式中耽比和如中之較小者3wM,0.5()0.010130.09651)-0174o.&o0J)D6O30.05610.03340.55(J.0094(!(L0B920.02KJ0.R50,(K15470.05060.0348O.600.008670.D82D0+02420.9fJ0,004960.0456山03580.650.007射6O.DSCO.D27110.5O.OD449(L04100.036*0.700,00727(LO6830.02961.000.00406U.Q368(J.05680.750.00663f+06200.03171三邊簡支，一邊固定表2

24、-18撓度-表屮系數技甞令矩-表中祭敎理式屮2耽匚和山中之較小斤人億MX應MzM?W-Afy翊0.500.005040.05830.0(160-0.1212U.950.00324(1.0324(L0(280(.1咖0.550.004920,05630.00810.900.D036H0.03280.0322-0.09260.600.004720.05390.0104-0.tL5Sn.350.004170.03290.0370-0.09700.650.QQ44S0.05130.0126-A.U241D.SO0.004730.03260.0424-0.10140.700.00422D.O4S30.0

25、H8-0.1087U.750,005560.03190.04B5-0,10H0.750.UU399卜加0,0168-0.1048r.m0.UU6O50.030S0.0553-DJ0960.800.W376.042B0.01S70.10070.650.DD6SCIQ.Q2910.0627-011330.850.00352Q.OW0.0204-0.09650.600.007620.02680.0?07-U.1H6().900.00329(!.O37200219-00922f-550.0(&48U-023M0.0792-D.11930,951.00LOO0.00306).002850.03450.0

26、3190.0232D.0243(J.0880-O.OB391.50(J.009350,02050.)8801.-0.1215兩邊簡支，兩邊固定表2-19資料資料_-I-L-二匚匚一一-二_二一-=!=撓度喪出系數V習K彎距=表中系數憑4廠式中J耽仃切*中之較少若W呦2*嘰Aly0.500.C02610.04160JI017-0.08430.950.002230.0296ci,(n黔0.07460.550.002591).04100.0028-0.084110.9(10.002600.03060,0224-U.C)770.600.002550.04020.0042-0.1JKA4B.850.00

27、303003140.0266-41用刊0-65(J.002SO0.03920.0057-1).08260.80000354(L03190.0316r1).09040.700*002430.()3790.(1072-0.08140.750.004130.03210.0374-0.09590.75).002360,0366U.U08S-0.07990,700.004820,031S0.0441-U.10130.800+00228(1.03510.(1103-0.07821U.650.005600.0308D.0518-0.1066C.850.002200.03S50,0118-*Q.07fi311

28、,600.006470.02920.06040.11140.90D.00Z1L0.0319D.0133-0.0743(1.550.0(17430-02670.0698-0.11561).951.D01.W0.002010.001920.C3020.02B5042石0.0158-0.D721-0.069814刃Q.008440.02340.0798-C.1191邊簡支，三邊固定表2-20撓度二戰中XjK暉矩=農中奈數成屮I取4和-屮之較小苦資料資料X.磯1max陸Mr0.500.002580.04080.002B-0.0836-0.0569(J.550+W2550.05980.0042-0.08

29、27-0.05700.600+002490.D3M0.005SJ-0.0814-0.05710.650.002400.03680.0076-0.07%0.05720.700,002290,03500*003-0.0774-0.D5720.75().00219(1.0331O.ni(K-0.Q75Q-O.OS720,8()0.0020E(1.0310D.01124-0.0722-0.0570U,50.001960.02890.0138-0.0693-0.0567D.90.05.5(1U,9S0.001820.0229Q.0194-0.0629-0.05990.900-002060.02280.0

30、223-0.065fi-0.06530.850.002330.02250.0255-0.0683-0,0711O.tf0.002620.0219o.o2y()-0.0707-0.07720.75G-00294fl.r)20M0.0329-(L0729-0.08370.700.003270.01.94min兀-0.074R-0.Q9O30.650,003650.U1750.0412-0.0762-0.09700.6(10.004030.01,53D.D454-0.U773-.1。站0.550.004370.01270.04%-0,10930.500,004630,00990.US34-0.078

31、J-0.1146四邊固定表2-21撓度二表中系舉八弓K.彎煒h凰中系弍屮2耽匚和5中之較小斤w嘰My訛0*002530.04000.(H)J-0,0829-0.05701).550+002晰0.03850.00560,0814-0+05711).00+00236(J.03670.0076-0,0793-D.05710.650.002240.0095-0.0765-D,O5710.7D).002110.03210.0113-0.735-0.05690.7O.OD1Q70.02960.0130-omi-0.0565血帥0.0Q1820,02710.0144-0,0654-0.05590.S50.0

32、016S0.0216).0136-0,0626-0.0551D.900.0DL530.02210.Q165-0.0588-0.05410.950.001400.O19Sfl.ni72-0.0550-O.OJ2S1.(JO0.001270.01760.D176-0.0513-0*0513兩邊簡支，兩邊固定表2-22MgM；J何05flD.00471(1.0559().0079-0.1H9-0.0786L)550-004540.0529().0104-0.1140-0.07850fil)0.004290.04960.0129-0.1055-0.07820650.003990.UJ610.01511

33、-0.1045-0.0777(J700,003680.0426U.(H72-0+0992-0.07700750.003400.03900.0189-0.0938-(1.07600800.003130,03560.0204-o.om-0.0748085),002腑0,03220.0215-0.0829ogon002610.02910.0224-0.0776-0.07160950.002370.02610.0230-0.0726-0.069S100J.UD215C.02S40.0234-0.0677-O.OS775拱的內力計算表（表2-23）各種荷載作用下雙鉸拋物線拱計算公式表2-23資料簡圖公式

34、資料簡圖公式扣訃一氣荃*廠4專*M尸將卅資料希圖公式資料希圖公式輒:一除64-61Ki茹廠甲Caa資料資料Mc=丼支座情況：無拉桿;帶拉桿,R為可功恢支座：獨拉A為可勃校支座Z-專詠Ha-0.T20K-2Lr3H滬昉Mc=/丄二丄/ZZZI2V4/支座情況：無拉桿；蒂拉桿”H為可動檢支座；帶拉壞，A為可動詼支座，禺一訝5-t)a+16a1-】2+yasIqfHa-層亠斬Me-竽-linfZ=t2(5-lQff-1Q1卅亠號討q/K也二-譏時。甌-乎-苛方二a25-lOcj*L6trJ-L6w*+晉”-鄉g/KHa=IHb=fl/|Me=-1jj#L-Z/R扎-一Rb-等H=遺跖支座情祝：(1)無拉桿中帶拉桿乙呂為可動校支座.(3帶拉稈乙4為可幼較支座:lJH廠急如円人二誥甘Mu二哈Z-2qfKtHs-0,H晉，血急崔帖)f、rKH“常If101K-1吧盧E_2立討心JA-0,Hji-,-Vfc-252X(2)2-J?B=-哈支座悄況：(1)兀拉桿；(2J帶拉桿艮B為可動較支座；3帶f2+T-Z.A為可動較支座。(1)He-:.Ha-；,Mc-0Z-:K,Hb-0.Ha-P,Afc-12KPfpK二1)Z-yK,HiHh-PiMc-Pf門(3Ra=-J?p=一卒fS圏公式血三于口(1-a-2a2+4(r3-yff