THESIS THE DESIGN OF A CONCRETE ARCH OO a (ols LCL ee : THES!> C \ tort . ; } \ $ ‘ (/71L DE SIGWV Foy Mo GO Ei a a a ta AC a ae DV i- M alee wae la Z d DYE Tle OT mM a hee MMe Vale Ray ey or Ene, Veh hi | ey ome)! he hb, yr AIL ae Vy mm hea ME EE ta| A aay ! MOM Eee and ee Vzzeed Ne CLL gk oF LIT LOE of SCIENCE. pe, ey Rie se THESIS COP. Aas aoe SC | ae la ae eum Le (ahha whith Ahh be 4077 AS G7 Nal seta, Yo the rneéw abhletic an aes orer the (Ped Cécer iver a7 rhe sve sae ofd WhrITe £, Gee ROMA POKING OULCHIASOY ay tae Lor rLhak Vg aeeeF Gd PCCE SSQP: Yo use a soak oF foo#K ahd G rise OF 07 frore Shan lott, ave fo The rarure of *e rrver VN OM aoe Fee Lae ae te Las So & jor, Fhe Last one ving an elevatiorr of CO78 € Fe VY Ae LA EW hela Verde Ae lagelee et MMA. LAE La 14g a Te eee MCE oka J? SOP UDG? Py PCL A Yoke eA ae ee Ate ale Me TM ete had bly the Graphic S7a71e merhog assuming *e 1117eQr orch asa mean Lefween ar e//1pseQnWa C17ecle. Sa was Found PAGE since Phe Siresses were sma/4 7a. ML hls hed Phickness could be PeCreased, /7 revision was pep rade wilha ser/n Te thickness of $0" and Phis firsh revision analysed © ala eax Vee heh Llastic Theory, neglec/ing 7 pe Pak ME A es Mae dg Ae aed Pats PFC ISUrE, ANAS 7emperarvre. from THE stresses Found Ly 7/218 ae Oe A that rhe section covk’ 2 SAH i ea TM ToL onorher revision with acrown thickness oF C0" ANS RY ahs ee thickness of 50% was rade. 7: RM el Teed OTe Mak eed hk bhp pee YAEL analytical merhog clastic Fheory (2CMA/NG the effec? of Jemperaiuré and rib shor Fening, a5 Fe Lineal analgss. THe maximum stresses were obFained From AAA nes for extreme rope and Loi7om L1Lre STrESSES. ea mb hgh iy Ker method elastic Theor y,and ThE aes) y eae AT clostic arch, will be Found inthe se” val el aay FO Lhe 79/2 POW on £1le tn Fhe Crus / Engineering ly ase Te, OPC OMT EMTS. (2 Aaa Nts i = im SO i PSE gts ea eg a COR in VN la ad the g axa Vole la cred Aa ans hhh hha 7 Mea a ak aa ee ee 8 eae OF AG 3+ —— = = 534-5 3S 5-5 ++ 7G Coordinales of Lrnear/irch----- —------ —/0 bl Wai YN eek ee eet tee eee 1 Tr eee aa ee el ag lirch / Properties ave ol sak ks, eaten al teamed os ye Lee mba Vag ah ET ee aed) “79 -— --/6 OT hn eae ft tte /7 Ce he co a Ses ai an Oa a eee 18 CompvTa7ion oF ff ----------—----------- 7 ae ae ae LLL a Le eo ey VL aa mt he a i aan 20 Oni? stress dee 70 load oF 1000" 17 *oer 5g./n.----2l tle: LINES — = ~~~ — + —-- - ------- Fad ia tne aE eee ae ae OF eRe eee Va Na Ie Leh ee Va A ea eo» ress Wve Fo Jempera’ i oi ek 4 teeta Fa] Vee te Ma ahhh 30 Waa hy ee ae ae ee o #) OM LALO, Meee Meher A er clei a Moda As springing and lal dal da bao MEE SO Ee nN ee eae eS GELS Fe ee Fe ee 3 Draw LLC, CL U Po4G, EA DOL LE ELAN eo ee Lee 4Llocale/ on BC produced so that B/=8C. 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Dvé *o the fact That rhe Ss cy uae gah ro ohe ae on dene the Firsh, the werifrers Aid plo? hare Yrme 7oOrmake @ nls § of the s’7e, Ses:gn The abutments, porinvestivgate rhe stresses Sve fo @ concent raved lve /oad”, According 7o Taylor.and Thompson and Vel NPL CA AE P is TOO ea Cr a ee aa Tae mad hn Ae Mead Le VE Ae Tos VL EEE LEG Ce) Oe a 7 D /, Bae Ad a of s/7é Sho WING Proposed loca Aion. é Center line protile levels € protilesta) smal// scale: Pee Bie 210° showing ee aol -foMe gc sey #) ee patural! scale: /'=/0 show'ng grade of Stream bed banks - proposed pa okt ber tbe RY ted aA SAPS 3. Selection oF hha ese walk widths - reasons for. 4 Desqné estimare oF pie Sey E es of pavement Pg MW hae aap Bak /k3 € cbrbs, FogeTher with The gesian Ees7t/malre of reinforced concreéle Floor For Svp- 00 F771 roadway & Sidé las 5. Design bbls ra Va pach kdhe ECSimare Ch ee ¢ gvan a Ae OY LEO noing Thick eee B fale golly AIS ti og Ski A SA sa Sipe SERIA Wan CMe sae 2 Airala ze 7/@ PA a Le he eek Ce a he Me tebee tO ae Figures. CW aT RM MAM ld exphining how & wh 53 Craw new sec with (% oF Crown pss YO"? 2 fuk ah; pry wiles of new sectiong investigate by Yop. a7 LEA 4 A VW ae Ma ht arch thick- ness, explaining howé wh Edrawup new OY Tes hh ha re/ntorcermen*? percent saad desire ble. Scale/=F0: oa a ehfe ey ee Vay Ee Lab ; Pe TA ta LAs AG ta ae shat ge Wa erties of soringing &crowh sections € Those way mille oF the 70 Sec70r7s a aes Je. Scale valves es for @ach centra/ porn’ EE FOAL Lh le sia len TO SIME ay oes 19, Os on, Va Uae pe 4 ot Fhe /0 Otel eel ok a MEL 2 elas ial a thot ae tion, rerntorcing ntcosPreral/ secvions. » | EMAL Vea akg ENT ead Ovtti ne. (Contd) 2) lA ear gee progerl s ot pli de al MA alg LIK Bey F Ft ae alah A a of Cach Secrron. ew A ae Properties a3 tollows: 5 ee Bs a teh : £7 ,% FX FI*I Pd he a Ca a Ree pee eae ade fees ne ea ‘ V6. Calevlase the arch consiants deperdent on loadin alg Veewe ee) ey ah Ta ta eh Ade Ag Fae 4 AAR Ae Pe I Nee ae) af UA TAA arch Va Aha) lL Th x MA RA VO LER sa oT ae Panne ne 19,Lay off a load, “ne on Cag a wae mz Ald Meee oe) el @sca/e aspossible | Phe valves of Aérrvyonta/, Tat Oe ahi hibit oe RATA eg lb Sa cel AAT eels | ala 2 ela hed Ry ah - one, / ( Le 3 | fe 1 , P - . g0.Constroct on arch Siagram 7/e teem chal loading § check 24 =a thal had OY Aha akhee 2 Scale From Force 014g 0 M5, & Arbvlate The thrust € yn a) Lag) mde ie od crown €g righ? edge a Ry a tle oe For aft Toad ings. . : | 3 Pat oad Ry tae ke eal 4 mee Pe PT Peak bhbeth Fa al ems ae hea Lor al/ loads vse § a/50 TAG Lh! pov ee Ea hahah PT TaD hed ee 23. Tabholate the values ot 4, t & Eke For The Fe Oy) he PP OT Ae A On a s¢ole Te a Re ce hed Vel Lad tte ae la en th EA the pornrs COrresponaing ema Va Jp sakiated Seals re Sop whieh hile ts. ee ae aabdah la wt maces alle Lojes of 4, ky Bite For We Te hss hho four Wagrans. 25 Lsitimale acival PP Ln aa OMe le PS ala seh Ve Lae hee); eames aC Td ee etal laeh “Vi Le GML aad (33) MLO LL MALAI OA MOMMA a ha VA alrse ky Ay Se Se t,t, #, Fs curves for logan a arch Gib fs Valeloh aa aM ete hee abode Via hee Fo? hate 4 live log Joas 7o g/ve raximen S7Tresses oF £074 kindl’s f- €%. Som tp rhese Stresses ee the *ora/ mak stresses OF L374 kinds. lartime#rer may be used For unitorrm live loads. Moh aroun! € pos/ Pron oF sve load giving 17ak, STresses. C? for arise of 50¥% ¢€afall of 07% compv72 The aaa CO cm ee Mme A tabvilate the valves of Phe Thrust KadialSheok € lo SVomen? at the Fae spectre ae ah A: WY ee ALL a ER ad de SoecjKred wth akey Wagram Showin ba ahha pao He (a oe Ae ip iaek iri Moka LA ks CB Tabviate Phe valves of 4 hi, for phe lemperatvre changes 1 27 € craw wntlwence lines tor 7he same. atta) TAL OLE a bbb heli ‘Point prowvcing “he (77ak ee A Adee dae Oy er On aL we/g? lt Lh Ame aMeed Lae ae ol RTE WV. DUM a Ke (WF a mana esMons aS lA a ala Wneqr @rch should Ze Sag sete, or arch Fhickne@ss changed or reinforcement /ncreas7ed aa ympFove *Thearch Fes147 Ve WeGhKNESS. KOOM USE ONLY MICHIGAN STATE UNIVERSITY LIBRARIES iia 9016