弹性力学课件三_第1页
弹性力学课件三_第2页
弹性力学课件三_第3页
弹性力学课件三_第4页
弹性力学课件三_第5页
已阅读5页,还剩48页未读 继续免费阅读

下载本文档

版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领

文档简介

2Theoryofplaneproblems2.1PlaneStressandPlaneStrain2.2DifferentialEquationsofEquilibrium2.3StressataPoint.PrincipalStresses2.4GeometricalEquations.Rigid-bodyDisplacements2.5StrainataPoint2.6PhysicalEquations2.7BoundaryConditions2.8Saint-Venant’sPrinciple2.9SolutionofPlaneProbleminTermsofDisplacements2.10SolutionofPlaneProbleminTermsofStresses

2.12Airy’sStressFunction.InverseMethodandSemi-InverseMethod2.11CaseofConstantBodyForces2.1.PLANESTRESSANDPLANESTRAINIfAbodyhasaparticularshape.

Theexternalforcesaredistributedinaparticularmanner.Thespatialproblem

PlanestressproblemPlanestrainproblemAplaneproblem

1)Planestress

a.Theshapeofthebody:Thinplate:thicknesstthelengthsoftheotherdimensionsxyozoytb.Mannerofexternalforces:Surfaceforces:loadontheedges,areparalleltothefacesand

distributeuniformlyoverthethickness.Bodyforces:areparalleltothefacesand

distributeuniformlyoverthethickness.xyozoytSincetheplateisverythinandtheexternalforcesareuniformlydistributedoverthethickness,thestresscomponents

z,

zxand

zy

maybeconsideredaszerowithinthewholeplate:

z=0

zx=0

zy=0

zx

z=+t/2=0

zy

z=+t/2=0

z

z=+t/2=0Notingtheabsenceofsurfaceforcesonthefacesoftheplate,wehave:Theremainingstresscomponents

x,

yand

xyforthesamereason,maybeconsideredtobefunctionsofx

and

y

only:

x=f1(x,y)

y=f2(x,y)

xy=f3(x,y)Suchaproblemiscalledaplanestressproblemandthethinplateistobeinaplanestresscondition.yzxa.Theshapeofthebody::Verylongcylindricalorprismaticalbodyb.Mannerofexternalforces:(1)beparalleltoacrosssection(2)don’tveryalongtheaxialdirection2)Pl合an蜻e购st碍ra抬in(2)Du最e追to袜s仪ym信me安tr缴y呢(e阅ve效ry泊c北ro烂ss肌s捉ec机ti恢on和b暑ei杜ng周a却p舱la滑ne交o灰f听sy圈mm塑et厨ry丹),缠t浙he适s剑he受ar封in辟g即st漂re刚ss动es

zxan倚d

zymu晌st世b钳e柔ze晴ro达:

zx=0

zy=0(1半)校If胳t稼he暂b蝇od区y众we昆re弃o废f愿in速fi消ni骗te右l况en鹊gt锻h,泄a骨ll恒c牲om民po染ne蚕nt贷s兰of猫s乌tr所es盏s,伞s助tr巧ai团n资an粥d虚di乓sp渴la映ce萝me彩nt俗w偶ou摧ldno冤t糊va顽ry宣i魄n续th绿e姓ax驼ia凤l它di做re苗ct缝io租n.Wi疏th禾a馋ny津c欺ro斥ss秆s疑ec修ti井on棒o偷f批th锄e群bo课dy草a成sxypl冬an红e,裁t凭he坏c愧om施po坟ne旋nt央s粗wi侨ll佛b拦e枕fu倍nc觉ti必on腰s美ofxan攀dyon医ly可.Fo乓r卫ex岸am堵pl逝e:

x=f1(x竖,y府)

y=f2(x呈,y捎)

xy=f3(x捎,y鸡)(3筹)Th扫er碎e老wi鸡ll告b拾e渔no润rm她al认s阀tr驳es受s

zon船a用c挑ro压ss闯s蛙ec州ti刻on抱d怀ue终t单o释th劫e爸mu蚂tu摩al来c萄on剪st护ra币in毫t故be见tw纱ee病n跃th缩慧e春ma登te技ri萌al傲s晚on盒t页wo限s像id像es额o畅f司th项e萝cr某os颗s泊se絮ct从io废n.(4疤)Al坛so枝d旧ue应t篇o唯sy识mm良et骗ry竖,雨an祥y羽po问in枕t争of呀t誓he饭b即od境y脾wi首ll晴n跳ot叔m侍ov咽e恢in议t窝he郊a满xi顺al料d吵ir片ec绑ti认on什,揭an旗d流we叉h夏av增ew=0.Su度ch餐p王ro撒bl搭em想s顺ho迎ul递d迫ha剃ve定b洋ee捐n晴ca体ll幼ed柔apl幕an赵e困di兆sp鼠la荐ce触me迹nt踪蝶p闯ro姿bl领em.制Bu剧t绢tr练ad她it啄io替na墙ll蒜y,怎i渠t袄ha往s丘be镇en价c踢al绕le赢d朴apl置an把e师st既ra洲in微p牙ro钞bl亿em.xyOIsolateanelementintheformofarectangular.

t=12.践2DI织FF含ER钩EN惜TI商AL耳E移QU眨AT婚IO宗NS怀O崇F扁EQ晒UI愁LI丑BR丛IU联M

y

yx

xy

xcXYCo雹ns谱id血er誓t录he酷e退qu属il汪ib喷ri观um猛.

y

yx

xy

xXYxyoXYc

MC=0(1)

xy=

yx

X=0(2)

Y=0(3)foraplaneproblemIn姜t贺he维se突t只wo盼e贼qu散at商io似ns屋,滩th那er涨e甜ar绢e蔬th已re谷e袜un糟kn狸ow钻n淹fu谊nc樱ti料on想s.咱H盐en酸ce孟,鉴th卵e汁el趁as肝ti路ci座ty议p脆ro驴bl毅em鸟i烛sst签at子ic遗al搏ly姜i柔nd疏et统er底mi糕na帐te.矛To欧s芝ol伐ve去f睛or照t则he窄u槐nk浮no起wn养s杰tr摩es芒se民s,警w晌e例ha恶ve尸t糕o金co披ns赤id绘er螺t袜he鹅s蛾tr问ai敏ns痒a馆nd抛d肚is番pl汗ac鸟em丙en贵ts过.In闯a翼p亩la所ne纸s侵tr界ai丈n获pr连ob锁le扛m,振t页he夹n抓or淡ma则l蓝st滚re咏ss杆es

zar接e谨in狡e竞qu肆il之ib专ri钻um狮t概he胁ms细el治ve网s档an苍d观do释n建ot嫩a络ff惠ec稻t后th凶e完fo兆rm毛ul战at腹io丧n恨of评a酷bo饰veEq谋s..Wh六en烈t芒he完s转tr被es凝s糕co痰mp想on闻en仇ts

x,y,xyat谨a叮c尼er冤ta石in棉p哈oi裁nt容P纵a银re磨k求no呼wn舰,侵we乡丰c废an委c洽om竹pu丽te扣t我he叨s云tr竞es改s钥ac教ti烦ng欣o危n州an咐y川pl市an喉e枯pa郊ss犹in院g客th伏ro溜ug串h素th业is对p冷oi慰nt猎,剧pa妙ra涨ll谊el稻t携o桥th风e当z问ax汽is邀b宵ut枪i锅nc风li干ne借d卷to抓t察he融x身a晌nd菜y箱a虏xe溉s.2.浙3ST台RE丹SS晕A亲T房诚A姜PO得IN化T.甲P当RI番NC崖IP缓AL煌S缩慧TR欲ES隆SE特S

y

yx

xy

xXYxyo

xy

x

y

yxTa循ke碗a巷p悬la呢ne屋A成B冬pa痒ra党ll优el改t兽o丈th店e郑in骄cl荐in评ed票p循la振ne恨c奖on干si绞de虎re妖d薪an非d四at爷a伞s阔ma梦ll竹d陪is查ta村nc辰e纱fr粱om注P铜.花t羞=1PA乐=dxPB润=dyAB肾=ds

y

yx

xy

xxyoBAPsYNXN

N

NNTh晶e茅co叔si势ne犯s券of葬t棚he仁a暂ng马le灶s弊be谈tw折ee芳n秀th老e弯ou看tw衬ar恐d屿no瞎rm暗al夏t脉o开th闹e梨pl飘an适e较AB旦a公re:co邮s(N共,x瓶)=lco病s(N乒,y造)=mSo治:PA银=m·dsPB篮=l·dsCo位ns检id要er庸t欣he钟e柜qu饭il莫ib拒ri盗um近c恭on坦di士ti拣on鼻s:

X=财0

y

yx

xy

xxyoBAPsYNXN

N

NN-

x·l·ds·1益-xy·m·ds·1扫+XN·ds·1员=0Wh篇y坦th贷e贝bo冲dy适f芳or准ce衣c汗om伍po跪ne厅nt储s团ca酸n饭be脊n江eg激le巧ct凝ed染?XN=l

x+m

xy

Y=宪0YN=m

y+l

xy

y

yx

xy

xxyoBAPsYNXN

N

NNLe能t主th适e蚊no弓rm专al映s晨tr年es冬s寇an景d隔sh却ea距ri浇ng紧s勉tr明es情s碧on店A请B先be

Nan铸d

N,pr粱oj页ec蓬ti姐on脉o喝fXNan去dYNon牺a盏nd京p向er设pe堵nd西ic腿ul概ar阔t励o躺th校e愁no启rm帖alNwi恐ll桌g堤iv旬e

N=lXN+mYN

N=lYN-mXNTh年us胃,碰th幼e贝no惊rm萝al柏a节nd蚕s伞he樱ar领in精g姿st耗re洒ss仿o知n逐an剃y群pl痒an钻e枕de革fi桃ne瓶d蜂by似t犯he屈d蛮ir擦ec舍ti司on东c摸os纤in滤es罢c刮an品e肌as为il悦y劣be辈c营al圣cu时la选te首d,史p梅ro足vi断de佣d董th核at合t凶he挨s誉tr省es液s扬co剪mp勇on波en看ts

x,yan栏d暴

xyat变t但he犬p雅oi蹈nt靠P渠a驾re军k育no锦wn叙.Us袭in堤g略th怀e祥ex潜pr性es龙si嚷on咬s声of障XNan没d番YN,we屿o芒bt搅ai掩n

N=l2

x+m2

y+2lmxy

N=lm(y-x)+(l2-m2)xyxyoBAPYNXN

NXN=l

x+mxy=l

YN=m

y+lxy=m

Ifth岭e辞sh彻ea恼ri遍ng届s酬tr振es仪son屿a原c算er摩ta步in幕p普la义ne炼t后hr容ou维gh微Pva皱ni僚sh跑es,筛th衣at简p宽la躬ne斜i松s策ca搜ll令eda仪pr改in辣ci退pa持l遭pl屈an授eat见P张a众nd递t匹he择n糠or其ma得l怠st遮re塘ss鲁o测n承th郑e希pl枝an色e君is铺c打al即le曲da笔pr逢in薪ci寸pa扎l伤st哈re奋ssat榆P巷.Su鬼pp琴os只e躁AB淋i旋s算a串pr渐in郊ci摄pa伙l州pl庆an航e.

2-(x+y)+(x

y-xy2)=0Si脂nc嚷e析th寺e方ex两pr冰es佣si底on感w廉it旋hi难n慈ea昌ch桶s悼ig真n妇of茄s行qu网ar精e宁ro钓ot旁i启s镇al珍wa精ys稼p缝os当it效iv毛e,

1an嗓d崇

2mu皂st今b仆e蛙re毫al代q供ua胶nt益it别ie路s.呈Th猫is窗s捏ho具ws芳t顾ha破t球tw类o粪pr所in社ci旧pa吹l正st晶re毛ss化es敲e朽xi隙st跪a盲t爷th方e停po导in糟t顺PAn叔d:

1+2=米

x+yLe和t

1be妨t裤he寄a渴ng拖le痛b功et系we罗en

1an正dx.碌T棍he拔n,Si河mi妹la教rl害y,月w宜e逝ca激n迎ob集ta递ini.e.Be惨ca砖us刷e

1+2=士

x+y

2=x+y-

1ThenWecanobtainTh针at量e配xp恨re慢ss剩io删n踪蝶sh蜓ow爱s撑th脑at缩慧t傍he津t廊wo允p泉ri焦nc察ip态al趋s组tr派es溉se挖s灵ar贺e盟pe平rp信en惩di周cu尽la帜r雕to标e标ac鬼h热ot尤he感r.xyO

y

yx

xy

x

xy

x

y

xy

1

1

2

2Wh鉴en找t宋he棚p迅ri罩nc验ip挤al伴s定tr杯es消se削s拢at饮a熄p腹oi攀nt娃a郊re瘦k闻no仅wn锣,肃it逃i莲s缩慧ve罪ry肆e翻as衣y哨to梢d诊et嗓er装mi艺ne驱t目he资m常ax嫩im谈um静a爷nd斯m络in丧im砖um蒙s广tr独es蔽se隔s肯at伞t泡he钓p据oi忌nt减.Fo孝r而si够mp界li请ci甘ty籍o涨f皱an总al杜ys壮is摘,避th袄exan肃dyax饥es貌a担re撤p往la浪ce久d浅in油t坝he闹d初ir抓ec野ti革on县s替of

1an炼d

2,re俩sp稿ec蓝ti躲ve皂ly园.xyxy

1

1

2

2Th鹿us虫,良we国h尖av孝e

1=x

2=y

xy=0Th乘e胆no遣rm绑al扯s粮tr悔es乳s按on骆a遍ny蚂i色nc不li昼ne数d割pl呀an际e猛wi赚ll经b享e:xy

1

1

2

2

N=l2

x+m2

y+2lm

xy=l2

1+m2

2Th撕e纳re芳la极ti理on搬o宋flan透dmisl2+m2=1So滤,搏we孔c膏an壶o商bt林ai倘n

N=l2

1+(芳1-l2)2=l2(霉

1-筑

2)+桨

2Wh扯enl2=1,

Nis糟m肾ax脚im竞um菠.Wh盟enl2=0,

Nis弱m爽in率im炕um奸.Whenl2=1,

N=max=1Whenl2=0,

N=min=2Themaximumandminimumvaluesof

Nare

1and

2,respectively.Theshearingstressontheinclinedplaneis

N=lm(y-x)+(l2-m2)xy=

lm(2-1)=

NWhen,theshearingstress

Nreachesitsextremevalues.Th秃is握s拒ho体ws应t屈he探e滔xt芝re鸟me趁s肚he档ar皆in稳g平st贸re锯ss炉es垃a巩re劲a简ct广in息g户on柄p规la篮ne峡s迎in误cl瓶in草ed厅a吩t寄450wi握th炊t报hexzan永dyzpl嚼an片es洒.xy

1

1

2

2

N

N2.悟4GE领OM弄ET灶RI恳CA按L粱EQ散UA钟TI湿ON刮S.凉R括IG雪ID关-B兰OD竖Y禁DI码SP连LA掩CE犹ME炕NT探SA’B’P’Taketwolineelements:PABxyoPA垃=dxPB扮=dyuv

x:n届or缠ma丹l兔st舞ra俘in落o卸f奸PA

y:n灭or丛ma春l熔st帅ra云in堪o速f骆PB

xyor

yx:th筋e芝ch瓦an崖ge机o乖f吴th锋e妥ri粱gh为t票an呜gl踪蝶e英be显tw选ee便n贡PA杠a新nd池P虽B.姻T溜he轧c显ha还ng握e余is+泳.A’B’P’uvPABxyo

Th井en匀,丝式we农h婚av堆e贴th秤e窜fo鞭ll唤ow酸in膏g森th布re痰e贯ge旁om岩et姥ri耕ca似l师eq历ua深ti痰on呀s:Fo齿r岂a内gi尘ve万n裕se壳t晨of泡d峡is晕pl摆ac岩em调en峡t云co槐mp密on控en狂tsuan盼dv,挎as兵d粮ef恢in并it岭e楚fu午nc漂ti免on滨s倍ofxan改dy,蓬th违e蔬st绑ra细in斥c拆om央po职ne魄nt恐s象ar皂e搁de巾fi凝ne德d笨by撒t统he岔se是r页el喜at颈io劫ns袜.wh乓ic芽h蒜ex仓pr荒es嗽s银th客e魔re芦la续ti吸on织s间be箩tw玩ee丧n坛th烈e劫st副ra远in件c平om惯po笨ne索nt销s撕an闭d蛙th死e迷di财sp棚la蚀ce帅me氧nt校c刘om宫po沸ne滤nt仰s武in日a知p蜻la俭ne颈p悼ro李bl竞em睡.Fo治r朋a墓gi百ve颜n忍se悦t摩of嫩s怪tr揉ai都n风co趴mp报on佛en石ts劲,伪as否d把ef宵in泥it镇e谷fu耍nc棋ti阵on爬s妥ofxan鱼dy,葬ho捐we现ve削r,步t痒he宽d烟is偷pl餐ac黄em蜜en易t附co烂mp塞on敲en亲tsar孤e销no宜t猴wh遭ol锹ly舟d热et色er碌mi钱na知te.Le修t

x=0伟,锹

y=0,xy=0u=f1(y)

v=f2(x)

u=f1(y)=u0-

y

v=f2(x)=v0+

x

Th贡es捕e重ar辣e坐th德e无di问sp渣la版ce浸me领nt油c捏om姻po钩ne对nt透s愤co燃rr例es分po旱nd农in移g扑to笑z轧er不o柏st苍ra仓in然s醉an谣d刃be刘t望he客r野ig蛙id唤-b周od稿y贯di迷sp报la补ce乘me疤nt燃s.u0an其dv0ar跟e举th赛e疮ri严gi裁d-深bo师dy界t律ra旱ns赖la速ti秤on背s怀in系t册hexan勾dydi饿re乡丰ct袍io爬ns夜.

is非t勾he饰r接ig目id栋-b壤od崖y逗ro醉ta晌ti尖on塘.渐Th嗓is滩c瘦an礼b懂e劈燕il价lu壶st济ra之te杰d笋as旨f枣ol淹lo剩ws极.TheresultantdisplacementisWhenonly

isdifferentfromzero,thedisplacementcomponentsofanypointofthebodyare:u=-yv=x

Pxxyyr

roLe帅t点th句e签an现gl停e苦be都tw客ee畜n久th乌e欠di老re府ct驼io难n欠of体t馋hi你s胖re冰su辱lt艰an蛾t目di贱sp舅la弯ce饱me挥nt窑a驶nd积t秆he亲y迟a摘xi乌s兴be,从t姓he介n占we弓h遍av蚂eTh碑is辣s许ho饿ws星t坊ha掏t遭th纠e狐re捐su帐lt许an耍t横di煎sp活la浸ce跑me词nt或o蝇f雄P恩is将p家er系pe幕nd绕ic掏ul殃ar旋t赠o罪th庆e贞ra腊di坛al与l兴in悟e妇OP宾a庄nd毕c引on民se掉qu斩en纸tl萍y率al茶on煮g违th谱e虫ta速ng动en等ti骡al腔d鸣ir细ec蝇ti温on状a纵t沉P.Th峰e院co轻ns皮ta织nt

停is郑t夹he途r皆ig择id越-b烧od会y僻ro澡ta急ti乓on板o鸟f答th结e冬bo丈dy瓦a侵bo非ut斜t蛛he派z哈a沙xi捎s.Pxxyyr

ru=

yv=

yoNo夕wWe丹s换ee虎t寺ha惜t饥an演e伴la筛st淋ic含b柄od刃y锦ca辣nha立ve藏a醒ny丽r蜜ig每id吸-b仅od堡y清di削sp忘la阶ce孩me妄nt途sfo绳r敢ze肺ro转s郑tr超ai检ns叉.He壮nc倾e,蔑a槽t叙a座gi符ve也n球st昌at铸e爷of逮s进tr坊ai抓n,秤t后he四b买od回y祖ma搂y撑ha死ve疲d谢if得fe仔re啊nt裕r锈ig蝇id筒-b芽od则y敬di去sp益la犹ce跨me带nt竞s丙un灭de坝r斧di勉ff腰er塘en馅t密co禁nd但it乳io胳ns裙o潜f答co赖ns悲tr攀ai锻nt北,贸re嚼fl围ec寨te燃d可by毒t袄he庭d筛if坡fe爽re滨nt常v愚al裳ue但s松of粪t更he睛c仙on撕st袖an驻ts毙u0,舅v0an衫d.In绵o后rd诞er瞧t养o所de滥te糖rm戏in蒸e鸽th孝e熟ac紧tu疤al仁d参is拜pl庭ac庄em漆en延t狗of亚t拾he滔b弓od符y,斤t秋he在re渣m学us硬t咳be占t允hr并eepr扒op扒er柳c厘on麻di京ti酒on苦s路of际c越on疲st饭ra陵in局tfo扛r骂th吨e躁de修te年rm嫂in还at劣io拒n贿of抽t销he狗t丘hr夺ee漏c搁on昼st邻an李ts勤.2.忠5ST捎RA毒IN旬A环T馆A宜PO恳IN驻TWh艘en究t快he纱s裳tr转ai裙n社co冤mp艇on括en孟ts

x,

y,

xyat醋a且c陵er头ta沿in夫p折oi妹ntPar易e捆kn妨ow粮n,犯w迅e稻ca吨n摔ca昌lc祥ul服at尘e尾th宰e车no敞rm封al展s涨tr璃ai钳n宏of队a俯ny示l侦in肾e尚el岭em餐en予tPNpa兔ra蔽ll津el诊t风oxypl积an炊e纠an疮d亚al统so酱t钞he点c灭ha政ng昂e批of藏t防he客a河ng运le惰b厕et鞠we轧en钩t霜wo篇l偷in悟e内el汇em镰en键tsPNan得dPN牧’pa摧ra火ll钟el团t馆oxypl昏an息e.xoPNN’uvyP1N1N1’

1

1

1Le竞tth辆e职co户or鸽di辨na蒜te富sP:定(x,y)N:氏(x+dx,y+dy)th家e戒le映ng绿th妨o灯fPN:drth端e早di蛾re寄ct胖io独n吹co督si岛ne咳s匙ofPN:lan渐dmSo皇t扁ha劲t诵pr柜oj罪ec赏ti洗on帽s费ofPNon修t权hexan脆dyar债edx=ld唤r,dy=md哄rxoPNN’uvyP1N1N1’

1

1

1Displacementcomponents:P:uandvN:He膏nc闻e,袖a鸟ft顿er蒜d尼ef慢or牢ma疤ti惧on饰,饺wh悠enPNis块d捡is文pl革ac虽ed锄t停o阿so展me爬p筋os止it行io虹n,P1N1,顿th揉e苹pr筛oj质ec饼ti盲on付s狸ofP1N1on炭t各hexan战dyax捡es异a边reIf焰w车e香de堡no斜te叙t男he亿n谣or赴ma肯l饱st职ra陶in后o轿fPNby

N,诵th纠e赚le鸽ng抓th杆o罢fPNaf源te打r堆de酷fo这rm蹲at溪io容n王wi压ll恼b岸eP1N1=dr+上

Ndran墨d垄we倾h扰av杆e蛙th辛e盛ge另om这et逮ri盘ca距l杯re刘la草ti肾on(dr)2=(dx)2+(dy)2Si凭nc植e

Nan锻d哄t喉he退d薪er克iv承at赴iv求e哈te主rm来s割ar赤e常ve旋ry陈s嫩ma边ll成i滚n姐co期mp赌ar席is肥on欧w扒it矮h市un肉it逼,洞th语ei穷r欧sq捎ua豆re赢s净an轨d犹pr轨od衡uc爱ts谋m吼ay绞b口e鞋ne遥gl摄ec极te挤d坚an俗d检th魔e截ab桥ov矮e典eq盈ua页ti英on纽奉r野ed词uc蜡es咐t合oSolvingitfor

N,andreplacingthederivativetermsbystraincomponents,weobtainNo丛w叮we秩p垒ro线ce稼ed胜t歉o守fi北nd非t青he芬c萄ha蜘ng淘e镇of她t近he踪蝶a辞ng削le浓b皱et做we雕enPNan衡dPN偿’.Af物te塑r枕de至fo妈rm宾at柔io耐n,PNbe抽co放me粥sP1N1,形wh蔬ic叼h奔ha任s值di打re闯ct特io昨n拨co拴si奏ne习sBecause

N

isverysmallincomparisonwithunit,wehaveWe梨o适bt逝ai葵nSimilarly,thedirectioncosinesofP1N1’willbe

温馨提示

  • 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
  • 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
  • 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
  • 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
  • 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
  • 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
  • 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。

评论

0/150

提交评论