結(jié)構(gòu)力學(xué)位移法二

基本要求：掌握掌握位移法基本結(jié)構(gòu)的確定，位移法典型方程的建立，方程中的系數(shù)和自由項(xiàng)的計(jì)算，最后彎矩圖的繪制。熟練掌握用位移法計(jì)算超靜定梁、剛架和排架問題。重點(diǎn)掌握荷載作用下的超靜定結(jié)構(gòu)計(jì)算掌握剪力圖和軸力圖的繪制、利用對(duì)稱性簡(jiǎn)化計(jì)算。了解溫度改變、支座移動(dòng)下的超靜定結(jié)構(gòu)計(jì)算。第十一章位移法DisplacementMethod位移法基本概念等截面直桿的桿端力位移法基本未知量位移法之典型方程法無側(cè)移、有側(cè)移剛架算例位移法之直接平衡法位移法計(jì)算對(duì)稱結(jié)構(gòu)支座移動(dòng)和溫度改變1、侵超庫(kù)靜逝定疑結(jié)列構(gòu)負(fù)計(jì)肆算旱的猴總性原合則:欲您求睛超乖靜劫定聲結(jié)拖構(gòu)防先永取男一蜘個(gè)淺基穗本肆體耍系,然蹈后渡讓主基腎本鹿體菜系醉在洞受備力藍(lán)方抬面既和姻變關(guān)形之方攏面琴與登原嗚結(jié)煌構(gòu)莖完尾全棵一墳樣乓。力勢(shì)法匪的掉特愁點(diǎn)點(diǎn)：基匪本慣未灰知?jiǎng)倭俊獢偂嗄X余蔽未布知偏力程；基返本累體匹系—瞞—靜怕定梢結(jié)它構(gòu)負(fù)；基國(guó)本哭方斬程—共—位釣移駕條叢件（沈變非形照協(xié)努調(diào)葵條撐件霸）曠。位形移惑法到的倍特姨點(diǎn)千：基板本抬未噴知隨量—挽—基痰本類體鏡系—咸—基解本淚方被程—圣—獨(dú)瞇立雪結(jié)主點(diǎn)頸位脂移平遞衡舊條習(xí)件？一角組斃單湯跨成超門靜勻定閑梁§預(yù)1聰1碰-兔1位稀移易法摸的?；?gòu)本吵概左念因團(tuán)此家，升位兩移屆法援分訂析唉中恒應(yīng)錦解奧決增的敬問改題條是俯：貌①膽確茫定時(shí)單炕跨填梁蓮在究各種淡因撐素遍作螞用脅下戀的申桿妙端歌力料。特②原確碧定補(bǔ)結(jié)榴構(gòu)蒜獨(dú)元立藍(lán)的要結(jié)欣點(diǎn)涉位延移防。幟③露建甩立求貪解截結(jié)盆點(diǎn)積位卻移色的胳位梨移攝法火方丙程酬。ll↓↓↓↓↓↓↓↓↓↓qEI=常數(shù)ABCβA↓↓↓↓↓↓↓↓↓↓qABCθAF1F1=床0↓↓↓↓↓↓↓↓↓↓qABCF1Pql2/12ql2/12ABCθAF11θAθAql2/12F1P4iF11↓↓↓↓↓↓↓↓↓↓qABCql2/245ql2/48q扭l2/殺4擠8位電移籌法捕基荒本斬思拖路ΔθAθBMABQABQBAMBA1、龍桿賢端怖力砌和援桿剝端扔位之移嫌的床正汁負(fù)抬規(guī)的定①員桿嗓端貨轉(zhuǎn)患角θA、θB，弦乒轉(zhuǎn)坑角β＝Δ/l都劑以技順篩時(shí)敏針羨為倉(cāng)正糧。②傭桿瀉端擊彎貝矩稿對(duì)勻桿相端凳以塘順衣時(shí)代針搬為隆正對(duì)駁結(jié)塔點(diǎn)義或瘦支廳座賓以續(xù)逆杏時(shí)連針陸為月正香。用友力否法嫩求億解i=E飽I/l2、形逗常拾數(shù)頂：由雪單結(jié)位侵桿叛端怖位露移稅引徒起的梳單罪跨百超半靜烤定飄梁讓的絨桿漂端淋力βMAB>0MBA<014i2iM§詠1炭1桂-疑2等釀截紀(jì)面北直櫻桿革的傻桿置端井力閃（騙形威常紀(jì)數(shù)刪、豆載沖常清數(shù)央）桿留端圾轉(zhuǎn)臉角頓、響桿凳端漆彎城矩源、殺固亡端牽彎棗矩翠，導(dǎo)都丸假畝定拋對(duì)廈桿斤端惠順往時(shí)扛針題轉(zhuǎn)念動(dòng)菊為陷正線號(hào)衛(wèi)。棕作槽用繳與總結(jié)者點(diǎn)頌上隆的抄外壺力講偶嗎荷什載歇，捐約莊束否力承矩歡，柔也扣假心定膊順慌時(shí)莖針面轉(zhuǎn)顯動(dòng)禿為與正煮號(hào)找，確而狂桿獅端承彎圣矩赤作友用歉于開結(jié)拔點(diǎn)珍上遇時(shí)聾逆匹時(shí)涼針丈轉(zhuǎn)撇動(dòng)賠為蜜正袋號(hào)鎮(zhèn)。用穗力冷法換求緒解留單景跨襯超肚靜簽定夫梁X1X21/l1/lX2=112M1MX1=11=-=·-=EIllEI6312112112dd==·=EIllEI3322112211dd1由江單堡位透桿窗端析位對(duì)移挑引密起蒼的捕桿雙端宜力態(tài)稱圾為況形習(xí)常疑數(shù)通（浪表1恐1示-伴1）欺。單跨超靜定梁簡(jiǎn)圖MABMBAQAB=QBA4i2iθ=1ABAB1AB10ABθ=13i0ABθ=1i－貨i03、載面常塔數(shù):由阻跨蓬中澡荷督載榆引起漫的禾固形端感力X1=搞－纏Δ1冬P/δ1什1=姜3院q史l站/砍8Δ1=躍δ1與1X1+希Δ1頭P=呀0↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓ql2/2MPq↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓BmABl，EIlX1=1DP1-=ú?ùê?é-=EIqlllqlEI84323114211d=????è?=EIlllEI3322132↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓ql2/8各時(shí)種瓶單辟跨淋超迷靜湯定層梁閉在名各種幟荷賀載蜓作捐用里下蒙的穴桿森端堅(jiān)力覺均呼可按粥力市法摸計(jì)端算般出例來所，陷這付就啞制階成況了路載先常館數(shù)鑄表1夕1目-緣瑞2（P5）M圖由態(tài)跨氧間辮荷遇載召引懸起塞的瘦桿演端遍力韻稱軋為從載波常散數(shù)答（退表1水1詠-臟2）船。單跨超靜定梁簡(jiǎn)圖mABmBAAB↓↓↓↓↓↓↓↓↓↓↓↓↓↓qABPAB↓↓↓↓↓↓↓↓↓↓↓↓↓↓qABl/2l/2P4、鼓轉(zhuǎn)漿角閣位嫁移孟方眼程：兔桿慕端花彎窯矩屑的里一箏般握公牙式妙：QBAQABMBAMABPMBAMAB=+P+mA錫B+mB妹A0BAQ0ABQ‘BAQ’‘ABQ’ΔθAθBMABQABQBAMBAβ↓↓↓↓↓↓↓↓5、腥已冊(cè)知博桿失端隆彎虜矩防求網(wǎng)剪萬力：取覺桿件北為隨分姓離礙體泳建亭立比矩勁平庫(kù)衡午方笛程濤：轉(zhuǎn)角位移方程注：1、MAB,MBA繞桿端順時(shí)針轉(zhuǎn)向?yàn)檎?、是簡(jiǎn)支梁的剪力。0ABQ1、窯基緩本粒未支知喝量爽的禽確鄙定歷：PPθCθDΔΔθCΔΔΔ為鉗了聯(lián)減迷小睬結(jié)水點(diǎn)盡線位些移數(shù)比目難，歷假枝定測(cè)：①地忽牙略赤軸豈向拴變依形凍，②腎結(jié)糖點(diǎn)鮮轉(zhuǎn)真角蔑和它弦睜轉(zhuǎn)角助都陰很竭微值小擠。位登移部法悠的絕基家本談未陷知命量沃是仔獨(dú)阿立卡的廳結(jié)止點(diǎn)頃位勒移肺；糖基鑰本伯體艙系井是傾將涼基克本希未櫻知忠量滅完后全塑鎖融住慰后址，削得翼到差的衰超凍靜撐定揪梁挖的貿(mào)組欄合芒體荒。結(jié)睛點(diǎn)腸角點(diǎn)位流移害的陵數(shù)薦目=剛偏結(jié)某點(diǎn)脾的紙數(shù)日目PP即拐：立受錦彎淘直世桿逢變陪形叼前支后套，草兩愿端篩之?dāng)亻g申的膏距扯離絮保畢持煮不步變約。結(jié)立論殲：矛原權(quán)結(jié)仍構(gòu)候獨(dú)篇立簽結(jié)稻點(diǎn)艙線謊位琴移效的物數(shù)束目=相掌應(yīng)輩鉸放結(jié)茄體喪系濃的腦自光由寬度嬸。=剛煮架灰的漏層趴數(shù)陡（咬橫爛梁嚴(yán)豎之柱蜘的螞矩越形周框哪架睜）擇。2、俊基裁本鍛體薯系虎的私確音定攝：§除1愉1瞧-柱3位逐移旺法漁的堡基勇本練未雁知蹲量棄和錄基關(guān)本清體羞系結(jié)僵點(diǎn)鴉轉(zhuǎn)這角饞的懲數(shù)顧目幅：7個(gè)123相淋應(yīng)授的傳鉸饒接碌體初系龜?shù)氖┳约∮梢?意3獨(dú)偵立峽結(jié)蒙點(diǎn)脹線扎位喪移霧的營(yíng)數(shù)感目獨(dú)：3個(gè)也介等漏于娛層托數(shù)3結(jié)炎點(diǎn)茶轉(zhuǎn)亭角樸的數(shù)特目凝：3個(gè)獨(dú)熟立閉結(jié)藏點(diǎn)躲線分位墨移趨的辛數(shù)臉目乒：2個(gè)不憶等營(yíng)于兔層醒數(shù)1位籠移腔法紙基嶄本爛未辭知武量結(jié)拾點(diǎn)鋤轉(zhuǎn)吼角獨(dú)粥立振結(jié)革點(diǎn)宣線扣位尾移數(shù)這目=剛罵結(jié)砍點(diǎn)盲的胃數(shù)蹤蝶目數(shù)運(yùn)目=鉸閥結(jié)鮮體怒系統(tǒng)的逆自禮由稻度=矩葵形濕框黑架汁的商層駱數(shù)在連確場(chǎng)定膝基頌本辨未士知逢量估時(shí)犯就竿考暮慮異了鐮變卸形蜻協(xié)催調(diào)雀條座件矮。注份意:?、巽q說處皂的什轉(zhuǎn)嫁角重不滋作啦基凳本走未風(fēng)知?jiǎng)诹壳?。拉桿叮端除為拋鉸估支挑座胡或數(shù)鉸寄結(jié)婦點(diǎn)區(qū)桿飄件船，紅其坊桿逢端各力吹按房誠(chéng)一權(quán)端叉固冒定零一崇端乘鉸保支峰的臂單座跨抓超陶靜歌定跨梁繳確意定孔。②挖剪尖力駛靜檔定喇桿釋的過桿及端掙側(cè)擦移標(biāo)也扁可慣不釀作階為礙基掠本嶄未著知圖量只。按其叛桿仙端力礦按辭一匙端億固努定累一就端斜定至向況支冷座擁的溪單未超用靜佳定翼梁刃（撈即耽剪陽力創(chuàng)靜捧定炕梁廳）癢確定燭。遇如激圖障示肝結(jié)得構(gòu)把中B端看的圣側(cè)交移但，C端墨的楊側(cè)酬移D點(diǎn)詢的偉線襖位艘移玩均錫不夜作基初本艱未盆知來量不，棄不按需笨加換附薪加鏈約定束糟。買（D色E桿辦是結(jié)剪捉力稀靜棍定勒桿搖）鐵。③漆結(jié)晉構(gòu)答帶櫻無砌限朽剛貫性豎梁蹤蝶時(shí)碼，遲梁似端更結(jié)泊點(diǎn)削轉(zhuǎn)缺動(dòng)凡不塘是汁獨(dú)嚇立折的子結(jié)酒點(diǎn)位嗽移魄。維若低柱縱子漿平碰行宵，納則憂梁藏端蒼結(jié)泛點(diǎn)繪轉(zhuǎn)巖角=充0，若斬柱吵子念不局平性行燦，崖則梁宋端蝴結(jié)嗽點(diǎn)崗轉(zhuǎn)汪角日可洋由伸柱夜頂臣側(cè)此移殲表唯示星出檢來重。aΔ④幕對(duì)軌于滑平殺行稅柱她剛?cè)艏軅簧嫡撳憴M兇梁誘是獎(jiǎng)平扣的冠，總還衫是萍斜戚的占，位柱仗子版等粘高徹或逆不閱等命高昆，萬柱擺頂綱線俱位塌移觀都氧相致等事。ΔΔΔ1Δ1Δ2Δ1Δ1Δ2F1F2F1=理0F2=扛0F1PF2Pk21Δ1=1Δ1×Δ1×Δ2k11Δ2=1k22k12位也移駝法基躺本董體刺系F1=昂0F2=司0F1乳1、F2房誠(chéng)1(k1昨1、k2璃1)─羞─基滾本窯體掩系族在Δ1(喉=剖1晝)單已獨(dú)隸作用樸時(shí)存，雷附比加本約險(xiǎn)束1、2中茄產(chǎn)稅生聚的倦約轎束沿力席矩屆和喘約松束見力將；F1悟2、F2掏2(k1笨2、k2葉2)─泳─基孔本第體滿系掌在Δ2(材=斯1窯)單頂獨(dú)徒作決用始時(shí)談，艙附揀加淺約襖束1、2中禽產(chǎn)稻生曠的骨約亂束絞力駕矩木和反約朽束養(yǎng)力鑼；F1口P、F2備P─臨─基猾本遣體侮系認(rèn)在姥荷免載學(xué)單步獨(dú)錄作弱用潑時(shí)低，爐附勸加錄約或束1、2中澆產(chǎn)匯生屈的告約形束津力荷矩妄和胃約鼠束娃力勻；位跑移侍法椅方煙程窗的烏含仿義誼：饒基詠本寸體曉系互在舍結(jié)眠點(diǎn)新位因移居和鍵荷潔載敵共絹同曠作跡用輩下緒，例產(chǎn)推生僑的沃附甘加泥約毛束那中悄的畢總礎(chǔ)約捷束圾力(矩)等高于糠零覽。息實(shí)麻質(zhì)賞上山是汪平探衡猴條腐件碎?！鞐?捧1凳-災(zāi)4位碑移羽法蹦典脖型伶方陶程n個(gè)蓮結(jié)怪點(diǎn)慶位封移儲(chǔ)的殖位府移智法押典吵型螺方截程主霧系喚數(shù)ki暖i─童─基貪本臂體裙系蠶在Δi=耀1單券獨(dú)塔作蠶用需時(shí)浪，粗在橋第i個(gè)激附紹加恨約束成中橡產(chǎn)盲生杠的咱約喂束蹄力錢矩密和藍(lán)約鉛束品力嚴(yán)，仙恒練為促正基；付豈系貴數(shù)ki悔j=kj幣i─歡─基攔本毀體夫系叔在Δj=鼓1單雀獨(dú)飼作摧用框時(shí)鍵，蹄在孫第i個(gè)慶附加峽約泉束憤中逐產(chǎn)謠生歉的答約爽束查力貓矩委和運(yùn)約濱束莖力變，蔑可俯正變、披可舉負(fù)銅、巨可蘇為沾零現(xiàn)；自德由材項(xiàng)Fi畝P─冠─基棍本訴體退系爬在荷輝載單瓣獨(dú)港作招用輪時(shí)圈，隙在器第i個(gè)槽附浸加噸約束獄中芽產(chǎn)帝生吸的備約積束堪力羨矩蒜和蛾約網(wǎng)束描力坡，購(gòu)可百正朱、趙可枯負(fù)營(yíng)、底可心為喚零酒；；嫌再捐由剪結(jié)旱點(diǎn)茂矩鵝平仔衡侄求瞇附模加侍剛哲臂茂中牌的灰約種束岡力戰(zhàn)矩娘，壞由杠截面牙投暈影斃平金衡菜求釣附藥加抽支患桿娃中濁的弓約揭束茫力酬?！?5kN/m48kN4m4m2m2miii↓↓↓↓↓↓↓↓15kN/m48kNΔ1Δ1基少本拐體坊系F1當(dāng)也F1=健0↓↓↓↓↓↓↓↓15kN/m48kN2花02036MPM120360F1P=－祖1辱62價(jià)i4揮i3際ii4i3iik1搖1=鹽8途i解些之:Δ1=－F1P/k1盛1=溫2冰/i利云用疊層加雁彎情矩可圖Δ1=11梯6283030482M圖(k瀉N伍.處m)k1躺1F1P+由旬已炭知信的辟?gòu)澑尉爻綀D冤求鋒剪訴力肚：↓↓↓↓↓↓↓↓15kN/m48kN4m4m2m2mii16283030482M圖(kN.m)ABCD3存327+31.5+16.5Q圖(k籍N)由種已遞知煙的Q圖濱結(jié)艷點(diǎn)何投格影夾平購(gòu)衡嘆求確軸窄力凡：031.533NBDNAB0B∑士X臭=惕0NA葵B=念0∑穴Y編=窯0NB葵D=煩－頌6進(jìn)4逢.族5校榴核企：B30228∑關(guān)MB=晚02764.516.5↓↓↓↓↓↓↓↓15kN/m48kN∑貪Y虹=謹(jǐn)2曲7惜+藝6竊4迅.貞5供+蠅1亞6拌.救5－1撈5×4示－慶4洽8=厲0位移法計(jì)算步驟可歸納如下：（P22）1）確定基本未知量；2）確定位移法基本體系；3）建立位移法典型方程；4）畫單位彎矩圖、荷載彎矩圖;5)由平衡求系數(shù)和自由項(xiàng)；6）解方程，求基本未知量；7）按M=∑Mi·Δi+MP疊加最后彎矩圖。8）利用平衡條件由彎矩圖求剪力；由剪力圖求軸力。9）校核平衡條件。20kN↓↓↓↓↓↓↓↓↓↓ABC3m3m6mii2kN/mABC16.7211.5792kN/m20kN↓↓↓↓↓↓↓↓↓↓ABC1）追確厘定屋基結(jié)本鄙未拍知沿量Δ1=θB；2）施確劣定鮮位跌移張法牧基民本只體稍系迫；3）項(xiàng)建勁立奧位偉移磁法訴典晉型毫方維程膽；4）畫M、MP;由平衡求系數(shù)和自由項(xiàng)；15159F1P159F1或P=斬1雪5碼－助9緣瑞=廟6Δ1=12勾i4免iABC3艙ik114i

3i

k1使1=4閃i蠅+士3俊i虛=臟7威i5）毛解帥方練程仗，遮求浸基襲本館未撕知抄量裳；6）按M=∑Mi·Δi+MP

疊加最后彎矩圖30M圖(k校N聞.食m)11.5711.577）愛?？澈藗淦教┖饫蕳l饞件∑兇MB=載0MPM1§鹿1乖1羞-全5位遍移則法沿計(jì)晝算鎮(zhèn)連姿續(xù)龜梁音及掉無昆側(cè)兵移起剛移架4I4I5I3I3Iiii0.75i0.5iiii0.75i0.5iABCDEF5m4m4m4m2m↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓20kN/m例因：挪作媽彎肅矩示圖1、吵基滅本勝未炮知殊量2、冶基懼本溜體重系BAqlm·==8420822mkN=.40BCqlm·-=-=125201222CBmkNm=.7.41mkN-=.7.41F1御P=掌4嚷0俱－枯4斜1聽.窗7共=童－貝1促.賣7ABCDEF↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓20kN/m3、率典特型倚方蓄程4）畫MP、Mi;由平衡求kij、FiP4041.741.7MPM1F2襪P=屠4炒1江.主7ABCDEF3i4i2i3i1.5ik1研1=4永i狠+營(yíng)3州i辜+鑼3尼i愿=煉1煤0淺ik2懷1=2廟iM2ABCDEF3i4i2i2iik2塌2=4四i爬+除3薯i覺+革2鼓i懼=籃9素ik2知1=2群i5）廁解燃方花程紫，此求月基焦本練未棉知笑量隆；M1ABCDEF3i4i2i3i1.5iABCDEF↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓20kN/m4041.741.7MPABCDEF5m4m4m4m2m43.54046.924.56漁2預(yù).聯(lián)514.79.84.93解.裳41.7M圖(k纖N綠.甚M)B46.943.53.4C14.724.59.8↓↓↓↓↓↓↓3kN/m8m4m2iiiΔ2Δ2Δ1↓↓↓↓↓↓↓3kN/mΔ2Δ1F1F2F1=意0F2=槽0↓↓↓↓↓↓↓3kN/mF1PF2Pk12k22乘Δ2k11k21乘Δ1Δ1=1Δ2=1F1Pk12k11F1Pk12k11F1Pk12k11F1Pk12k11F2Pk22k21F2Pk22k21F2Pk22k21F2Pk22k21F2Pk22k2144MPF1鑰P04F1P=棗4F2P=慢－仍60F2P4i2i6i6i4ik1未1k1深1=伴1勿0ik2千1=播－起1嘗.元5iM1k1窗201.5ik2拾1k2紀(jì)2M2k1翅2=括－芒1得.綿5ik2供1=區(qū)1椅5i帳/1殺61.5i1.5i0.75i解襖之:Δ1=刑0患.會(huì)7擋3愛7嘩/i，Δ2=飯7茫.劉5沫8欺/i利鐮用疊裹加姿彎倍矩坑圖1絲式3胳.澤6嘆24頁.澡4品25池.翠6筒9M圖(k剖N益.派m)§泛1倘1塘-盟6位脈移嫌法臨計(jì)銹算間有跨側(cè)嚴(yán)移套剛逝架與謎線聞位吃移事相紋應(yīng)園的漠位京移搖法紹方羅程醬是河沿村線柴位崇移良方壺向排的雙截塊面易投禮影比方商程翼。片方贏程族中矮的繼系豈數(shù)隙和明自盼由左項(xiàng)參是蹈基懂本增體額系煙附網(wǎng)加去支膽桿肚中饑的兩反峰力隊(duì)，猛由址截贊面?zhèn)韧都从棒[方房誠(chéng)程糾來哨求拍。θAABmABAB↓↓↓↓↓↓↓↓ΔAB1、郵轉(zhuǎn)窗角苗位努移譽(yù)方脖程：+mAB+mBAΔθAθBMABQABQBAMBAβ↓↓↓↓↓↓↓↓⑴逃兩煩端私剛帳結(jié)吸或眾固浙定幟的舅等桃直術(shù)桿⑵扁一冬端市鉸志結(jié)址或陶鉸寨支池的蛇等爹直呼桿⑶朋一識(shí)端蛙為叛滑揚(yáng)動(dòng)劈燕支霧承貢的持等毒直啞桿MABθAΔAB↓↓↓↓↓↓↓↓§緊1遠(yuǎn)1難-顛9用算直鑒接益平諸衡洞法焦建聽立栽位贊移它法嫂方院程MABABθAθBMBA↓↓↓↓↓↓↓↓(思4柳)已健知漢桿裝端建彎斥矩刷求晶剪既力位俘移蝴法體計(jì)喘算祖步留驟型可蠶歸脂納我如輩下砍：1）確踐定污基觸本員未先知彩量集；2）輛由占轉(zhuǎn)幅角抓位仆移鍛方錢程渾，逗寫簡(jiǎn)出沫各訪桿咐端舞力叉表贊達(dá)剩式偵；3）踢在西由捐結(jié)歪點(diǎn)迎角況位品移眠處輛，被建語立棋結(jié)吃點(diǎn)砌的劣力帽矩滋平傲衡劍方焰程隆，在壩由回結(jié)場(chǎng)點(diǎn)允線策位棗移序處順，龜建核立泊截世面餅的幸剪箏力聚平都衡補(bǔ)方前程散，得吹到棄位籃移搬法乎方誘程襪；4）喂解裝方配程盤，閑求脾基眉本零未挑知渣量趕；5示)將池已妖知吊的吼結(jié)偏點(diǎn)錦位灣移朗代康入挖各降桿戰(zhàn)端劫力指表怖達(dá)裕式剝，瀉得足到桿仰端濤力件；6）降按艇桿務(wù)端沈力僅作章彎祝矩夸圖發(fā)。4I4I5I3I3I1110.750.5i=1110.750.5ABCDEF5m4m4m4m2m↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓20kN/m例1賭1誘-服1作丙彎貴矩肆圖1、浮基蹤蝶本仔未也知賢量θB、θC2、嘆列偵桿接端漸力仇表旁達(dá)袋式令E逼I載=1BAqlm·==8420822mkN=.40BCqlm·-=-=125201222CBmkNm=.7.41mkN-=.7.41CCCFMqq=·=25.04BBEBMqq=·=5.175.02CBCBMqq++=7.4142CBBCMqq-+=7.4124BBAMq+=403CCFCMqq=·=5.02BBBEMqq=·=375.04CCDMq=33、總列池位乞移它法紅方齊程0=++=?CFCDCBCMMMM0=++=?BEBCBABMMMM07.1210=-+CBqq07.4192=++CBqq4、塔解身方置程θB=可1論.骨1跟5θC=沿－耳4優(yōu).沿8菌9=眼4盆3誦.頃5=－4黑6北.攜9=渾2蜘4錦.譯5=－1怕4均.贈(zèng)7=－9賽.雕7頌8=－4屠.嘆8秒9MCBMCDMCF=賄3汪.雕4=聾1椅.朋7ABCDEF5m4m4m4m2m43.54046.924.56豬2舟.貴514.79.84.93尋.鍛41.7M圖(k謊N洞.田M)位翼移郵不煙是勝真明值!抽!5、愁回者代6、純畫M圖MBAMBCMBEθB↓↓↓↓↓↓↓↓3kN/m8m4m2iiiABCDΔΔ)2(3=iMBBCq12434642·+D-=iiMBBAq12434622·-D-=iiMBABq0,0=+=?QQXCDBA0,0=+=?MMMBCBAB43D-=iMDC045.110=+D-iiBq1630D

=+-=ilMQDCCD0616155.1=-D+-iiBJ6435.10-D+-=++-=iiQlMMQBBABAABBAq解鑒之鏈：θ輛=俱0沿.尊7蛇4許/iΔ脖=半7酸.市5駐8呀/i=－1蔬3煉.振8妥9=－4破.婦4效2=染4毫.甚4繪4=－5.694子.犧4售24憑.才4關(guān)41惹3森.休8滿95方.燥6孫9M圖(k鞠N閉.皆m)1、牢基兄本健未特知憑量θB、Δ2、并列皮桿竹端現(xiàn)力兄表莖達(dá)儲(chǔ)式3、俯列瓣位念移啟法租方雙程4、樣解非方賢程5、誓回刺代6、涉畫M圖Ph1h2h3I1I2I3作耳圖宇示蟻剛指架己的胃彎睡矩悠圖儉。趣忽押略牽梁騰的告軸擴(kuò)向款變猛形妨。解惰：1）胸基范本而未齊知喇量作只店有ΔΔΔ2）懷各旋柱昌的漏桿捏端悉剪芒力側(cè)覺移錫剛系度J組=3桃i劑/印h2，則虎：Q1=求J1Δ，Q2=腳J2Δ，Q3=丈J3ΔQ1+壺Q2+拖Q3=讓PJ1Δ何+篇J2Δ檢+擔(dān)J3Δ輪=咳PPQ1Q2Q3iihJPJM=Qihi?=iiJPJQ?=P柱中頂惱剪蒙力度：柱介底羨彎山矩梨：?JhPJ11?JhPJ33?JhPJ223）位岸移漲法浪方進(jìn)程∑X歲=怕0M結(jié)鋼點(diǎn)悄集穿中積力蔑作隱為塊各洲柱逐總中剪蹤蝶力役，胖按各廳柱染的混側(cè)清移剃剛狡度狐分狹配輝給姥各籃柱這。態(tài)再由愉反課彎由點(diǎn)漠開歸始鋤即燃可贏作甜出仇彎川矩正圖丙。僅裕使最兩漠端掩發(fā)奏生已單簡(jiǎn)位給側(cè)姻移射時(shí)沃需慢在曲兩撇端州施衰加閥的若桿脅端肯剪荷力庭。Δ在待討鏡論犯結(jié)聽構(gòu)蝕上叨各肌結(jié)翻點(diǎn)條的扯線初位冒移禾的罪關(guān)弊系螞時(shí)裝可井用碌鉸碎結(jié)算剛?；w產(chǎn)系烈來背代畫替得原緞結(jié)彼構(gòu)配。窯其胸原仙因山是管兩圓者歐結(jié)授點(diǎn)陸間叨的并幾贈(zèng)何尺約端束響條件園是奴相妄同練的戒：鏈題桿天長(zhǎng)憐度肥不縱變焰。O瞬溉心栽在閱無袖窮介遠(yuǎn)ΔΔ結(jié)獻(xiàn)論較：平撫行用柱腫剛抱架砌不塊論肯橫習(xí)梁友是單平博的童還滔是置斜攻的璃，稿柱破子蹲等缺高褲不更等渣高峽，啊柱棗頂銳的顏線匹位爭(zhēng)移勉都脊相璃等溪。損柱懸子迷不仿平繳行茄時(shí)腿，喚柱模頂糕線那位下移稻不梨相浸等脂，狹但蠶也治不絡(luò)獨(dú)寫立贈(zèng)。如捕桿級(jí)件略兩刊端績(jī)線典位淘移淹平進(jìn)行爹，亂且綠不材垂度直該桿據(jù)軸血，乓則題為擦無界側(cè)逃移饅桿滴。iilPEI=∞ABCD122liJBD=32liJAC=54/12/3/12222PlililiPJPJQBDBD=+==?5/12/3/3222PlililiPJPJQACAC=+==?M圖PP/5P/5P/5P/54P/5l/2l/24P/54P/54P/5P旦l/濟(jì)52胡P鋼l/衰52鎮(zhèn)P陽l/步5122liJBD=32liJAC=54PJPJQBDBD==?5PJPJQACAC==?ii8mEI=∞ABCD↓↓↓↓↓↓↓↓↓10kN/miiEI=∞ABCD↓↓↓↓↓↓↓↓↓10kN/mR3q維l/寄8職=腦3射0間k頑NR爽=謙3宣0州k癢N=貪6可k閱N=憶2遍4仔k項(xiàng)N4m4mR3重0組k閘N806664啞82424249河69濁6M圖(k粗N弄.臺(tái)M)1憐2捕88096961、剪饒力睡靜統(tǒng)定枝桿茄的里應(yīng)給用：剪踩力簡(jiǎn)靜以定查桿費(fèi)的勤兩噴端辛相各對(duì)茅側(cè)螞移站可衫不盡作威為描位探移從法義基雁本謙未悶知肌量享。↓↓↓↓↓↓↓↓2kN/m↓↓↓↓↓↓↓↓2kN/m§扇1威1滾-石8位修移桐法狼計(jì)子算匪的瞞簡(jiǎn)支化先獅由鍛平袋衡臉條噴件診求課出棋桿避端勵(lì)剪遺力礎(chǔ)；將漫桿圾端儀剪嫂力嚴(yán)看克作岡桿燥端亂荷扶載順，絹該垮端氧滑借動(dòng)吵，晴另昌端鳳固賣定獄的抖桿跌計(jì)索算萄固較端級(jí)彎此矩需。剪饞力完靜遵定身?xiàng)U逐轉(zhuǎn)斑角脆位穗移重方勾程譯同渠一奮端漠剛坊結(jié)鴨一屆端暮定粘向火支振承嚇的暈梁剪推力掘靜部定落桿說的鋤固極端炮彎神矩堆計(jì)拐算例異題至用唇位州移巾法鼻計(jì)查算劑剛例架進(jìn)。解桐：1、蓋求播固原端郵彎恥矩美：2m2m4m1846M圖肆（k踐N攪.鋤m)2m2m4m↓↓↓↓↓↓↓↓↓↓3kN/m16kNABC10kN（EI=C）↓↓↓↓↓↓↓↓↓↓3kN/m10kN=寒1托8k麻N寫.杜m=－1砍8k服N攪.餡m=－4昏6k探N務(wù).礦m16ABCDABCDE↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓ABCDEF↓↓↓↓↓↓↓↓↓↓↓↓ABCDE↓↓↓↓↓↓↓↓↓↓↓llPqP+ql↓↓↓↓↓↓↓ql按蝴一蒙端優(yōu)固括定徐一眾端倚滑遣動(dòng)魚的崖桿燒處暈理也的煌剪算力五靜鈴定支桿逐，文并為不苗包夾括Q疲,質(zhì)M都筋靜和定哈的敬靜紐奉定洋桿載。坦如誘右樸圖火中憑的A斜B占,覽C白D桿惹。↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓24kN/m4m4m4mEIEIEI2EIEI24242472724208208M反蔬對(duì)除稱M對(duì)別稱921643252M圖(k炕N表.秧m)482、應(yīng)腹用姐對(duì)墾稱姓性英簡(jiǎn)失化寄計(jì)知算↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/mX1444M196MP↓↓↓↓↓↓↓↓12kN/mEIEIEI4m4m242472M反堆對(duì)息稱↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/m等費(fèi)代聲結(jié)奶構(gòu)2472=優(yōu)1↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/m↓↓↓↓↓↓↓↓12kN/mEIEI4m4m等代結(jié)構(gòu)ACBMMMACABA0=+=?iA2-=qiA0168=+qiMACA2=qiMAAC4=qiMAAB164+=qiMABA162-=q=－2愈0擁k賽N刮.插m=竊8克k云N仙.償m=－8涼k獲N隱.覽m=－4強(qiáng)k獅N夕.堆m2084208M對(duì)躲稱↓↓↓↓↓↓↓↓↓↓↓↓↓↓12kN/m4m3m4m4m4I4I5I4I5I4m↓↓↓↓↓↓↓12kN/mi=1i=1ACBACAM2q=AACMq=4ABAMq+=162Aq-=164AABMq×-=12412420=+=?ACABAMMM20168==-AAqqMABMACA=－8柄k崇N僚.經(jīng)m=仍2火0老k材N恥.圣m=靈8喜k逮N壓.汽m=井4蠅k賺N姐.業(yè)m482良024482024M圖(k險(xiǎn)N普.隱m)1）分斜贏梁乘（駛靜鍵定銹或鉤超爛靜熊定此）甩受屋豎暢向荷撤載孫作鬼用問時(shí)日，花其域彎優(yōu)矩槽圖滅與鳥同凳跨而度愧同德荷沸載擊的春水籠平黨梁源彎瀉矩沖圖亮相進(jìn)同達(dá)。2）瞧對(duì)襲稱察結(jié)芒構(gòu)竭在歉對(duì)僵稱融荷餓載嘉作敬用稀下襲，映與轎對(duì)縮慧稱屈軸師重富合剪的孕桿伐彎敞矩=理0，忍剪拼力=胞0。對(duì)糞圖門示缸無罰結(jié)詠點(diǎn)掉線榴位腐移禽的貞剛筋架夜和它剛勞結(jié)鵝桁壁架債，簽當(dāng)聯(lián)忽裁略陡桿揮軸懷向蛛變牲形鋸的森影滋響割時(shí)繁，械在旱結(jié)達(dá)點(diǎn)鞏荷其載奮作私用害下箱，腔各鵝桿焦的銅彎游矩未是妥否當(dāng)為俗零閉。PPWPPP基界本蔽體瞧系濤的卵荷鞋載喜彎廊矩筆圖孟為構(gòu)零蠻，界位替移寸法莫方踢程疏的份自究由封項(xiàng)區(qū)為極零千，搖故雙結(jié)崗點(diǎn)扮位框移培全察為炊零壁，剛掠結(jié)笛桁賺架倒，鎖當(dāng)吃忽潔略拒桿才軸從向業(yè)變戒形吧的幅影矮響悅時(shí)毒，俗結(jié)灰點(diǎn)歌無雨線眠位爸移腔，藥在巡壽結(jié)點(diǎn)盯荷賴載校