Cantilever Through Truss Bridge Final Proposal

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    Cantilever Through Truss Bridge

    Mario Nona, Merna Sana, Joseph Schmitz

    APEX

    Macomb Mathematics Science Technology Center

    Interdisciplinary Stdies and Physics !!A

    Cybls"i and McMillan

    !# $ebrary, %&!'

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    Table of Contents

    Smmary (

    Introdction )

    *ody '

    *ac"grond In+ormation '

    esign and e-elopment !)

    Challenges !'

    ata and Calclations !.

    Sa+ety %!

    Conclsion %%

    Ac"no/ledgments %(

    *ibliography %)

    Appendi0 A %1

    Appendi0 * %'

    Appendi0 C (!

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    Summary

    The "no/ledge learned abot bridges is more than 2st a +n competition3 *ridges are all

    o-er3 There are many types o+ di++erent bridges sed +or mltiple reasons3 They are important in

    many societies to transport people, goods, and moreo-er large spans or bodies o+ /ater3 4e

    learned throgh bilding a bridge and obser-ing many other grops bridge designs as /ell as all

    the di++erent bridge designs, ideas, and strggles that /ent into the constrction o+ the bridge3

    5r bridge is made almost entirely o+ e6ilateral triangles, made by the materials o+ gle

    and balsa /ood3 The thoght is that e6ilateral triangle has the best spport and strctre to

    e6ally distribte /eight3 The bridge design did a +air 2ob o+ e6al distribtion o+ tension and

    compression, obser-ed by noticing ho/ the bridge collapsed7 only brea"ing on a /ea"er gled

    and bilt side3

    Althogh a part o+ the bridge did brea", it held p /ell to or e0pectations3 Compared to

    other grop8s bridges that may ha-e completely collapsed, only a lo/er section o+ or bridge

     bro"e o++ +rom the rest /hen testing the strength3 I+ better bilt, it may ha-e been able to hold

    mch more3

    4e learned the compilation, time, and e++orts that go into constrcting a bridge3 It /as not

    a simple tas", bt /e did manage to do create it /ith the short /indo/ o+ time /e /ere gi-en to

    research, brainstorm, and actally ma"e a cantile-er throgh trss bridge3

    3

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    Introduction

    The team name +or or trio is Apex3 The name Ape0 /as chosen de to the strctre o+

    or bridge that contains many triangles7 the tip o+ a triangle is called an ape07 ths or team

    name /as created3

    The three members in the grop Apex are Mario Nona, Merna Sana, and Joseph Schmitz3

    All o+ the members o+ the grop are 2niors and attend a STEM program at the Macomb

    Mathematics Science Technology Center +or three periods o+ the school day3 Crrently, /e are all

    ta"ing a Physics and Interdisciplinary Stdies corse at the center3 4e all come +rom di++erent

     parts o+ Macomb conty3

    $irst o++, I am Mario Nona and I attend Sterling 9eights 9igh School as my home school3

    A+ter ta"ing physics and competing in this competition, I ha-e high hopes +or becoming an

    engineer3 Aside +rom academics, I participate in many acti-ities sch as the National 9onors

    Society and a -ariety o+ sports, inclding my +a-orite, soccer3 I also attend di++erent yoth grops

    at chrch to get in-ol-ed3

     Ne0t, I am Merna Sana and I attend 4arren Mott 9igh School as my home school3 I plan

    to become a doctor in the +tre becase I am interested in the +ield o+ medicine3 ring my

     pastime, I try to gi-e bac" to my commnity as mch as I possibly can3 I spend time -olnteering

    at places that I belie-e I can not only learn ne/ s"ills +rom bt, also, "no/ that I am a help to

    someone8s li+e3 Some places I committedly -olnteer at are St3 John Pro-idence 9ospital and

    5r :ady o+ Perpetal 9elp Chrch +ood pantry3

    :astly, I am Joe Schmitz and I attend :a"e Shore 9igh School as my home school3 I ha-e

    al/ays, e-en be+ore ta"ing physics and endring this competition, /anted to be an engineer3

    More speci+ically, I8d li"e to +ocs on compter engineering3 Compter programming is a hobby

    4

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    o+ mine, and general compter "no/ledge has aided the team in analyzing bridge designs /ith

    -arios so+t/are3 5ther nrelated interests o+ mine inclde msic composition, prodction, and

     playing o+ msical instrments3

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    Body

    Background Information

    A cantile-er throgh trss bridge is a bridge that is +ormed by t/o or more cantile-ers

     placed bac" to bac"3 $irst o+ all, a bridge is a strctre bilt to span across a distance to connect

    t/o physical +eatres, sch as7 land, -alley, body o+ /ater, railroad3 A span is the horizontal

    sector bet/een the t/o spporting strctres o+ the bridge3 A cantile-er is a strctre that

     pro2ects +rom a spporting colmn3 The cantile-er is conterbalanced and;or spported at one

    end only3 The cantile-ers are spported in the center o+ the bridge at the piers3 The cantile-er

    throgh trss bridge contains a sspended span bet/een the set o+ cantile-ers3 The sspended

    span in the center is a trss, more speci+ically, it is a throgh trss so the strctre is abo-e the

    tra-el sr+ace3 The

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    e-enly distribte /eight o-er an area3 This techni6e eliminates the need to ha-e more solid

     bodies than necessary, redcing the /eight as /ell as the cost o+ the bild3

    $igre %3 $orce iagram

    The +igre abo-e displays the +orce diagram o+ a cantile-er throgh trss bridge3 It

    illstrates the tension and compression that the bridge enconters3 The red arro/s represent

    tension /hile the green arro/s represent compression3 In the diagram, the normal +orce and +orce

    o+ /eight are also indicated by the ble arro/s3

    The cantile-er throgh trss bridge has many ad-antages, bt also a +e/ disad-antages in

    the ses o+ it3 This bridge is sed mainly +or spanning large ranges3 Althogh, they do not stand

    /ell in harsh /eather conditions3 Another hge ad-antage o+ the strctre is that spport is

    re6ired only on one side o+ each cantile-er, bt an incon-enience to the strctre is its

    comple0ity and the togh procedre o+ maintenance3 espite that the cantile-er throgh trss

     bridge has a cople o+ dra/bac"s, it is e0ceptionally se+l throghot the /orld3

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    $igre (3 The >ebec *ridge

    The >ebec *ridge, displayed in +igre (, is in >ebec, Canada3 It is the largest

    cantile-er throgh trss bridge in the /orld3 It has a total length o+ #.? meters, and its longest

    cantile-er span is 1)# meters3 espite the bridge +ailing mltiple times, it /as +inally completed

    in !#!# by the Canadian National @ail/ay3

    $igre )3 The $orth *ridge

    The ne0t bridge is the $orth *ridge, sho/n in +igre )3 It is a rail/ay cantile-er throgh

    trss bridge, is it sed solely by trains and not cars3 It is the second largest cantile-er trss

    strctre created3 It is located in Scotland, nited Bingdom and althogh its total length is %,)'?

    meters, the cantile-er span is 1)& meters3 It /as opened in !.#& and /as the longest cantile-er

    trss bridge ntil the >ebec *ridge3

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    $igre 13 The Minato *ridge

    The Minato *ridge, in Japan, is the third largest cantile-er bridge in the /orld3 Arch and

    sspension type strctres cold not be spported by the poor soil le-els /hich inclding clay

    and gra-el3 It is a dobledec"ed bridge that /as bilt in !#?)3 As sho/n in the +igre, the bridge

    has a sbstrctre cantile-er style3 espite ha-ing a total length o+ #.( meters, the longest

    cantile-er span it has is 1!& meters3

    The three bridges abo-e are some o+ the largest in the /orld3 They are sed in these

    locations that do not ha-e inclement or se-ere /eather conditions3 Also, the cantile-er trss

     bridges are sed +or large spans3 As sho/n in the +igres abo-e, all three e0amples o+ the

    cantile-er bridge /ere sed o-er large bodies o+ /ater3 These strctres ha-e greatly increased

    the ability to transport people and goods, throgh trains, cars, and more3

    ndobtedly, the cantile-er throgh trss bridge is not the only type o+ bridge3 There are

    +or main +actors into deciphering the type o+ a bridge3 These +actors inclde the type o+ span,

    the materials sed, the tra-el sr+ace placement, and the bridges +orm3 The simplest and most

    common bridge o+ all is the beam bridge3 The bridge has an ncomplicated constrction that

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    comprises o+ the horizontal strctre and t/o spports on the ends3 These components directly

    spport the do/n/ard /eight o+ the bridge and any tra++ic tra-eling o-er it3 These beam bridges

    are sally made o+ /ood, concrete, or a combination o+ both laid across the ends3 An e0ample

    o+ an ordinary beam bridge is in +igre ' belo/3

    $igre '3 *eam *ridge

    The +igre abo-e displays an image o+ an a-erage beam bridge that can be seen mainly

    near +ree/ays3 The strength o+ the bridge comes +rom the t/o beams spporting it and the t/o

    ends o+ the bridge /here it is connected to the grond3

    Another common type o+ bridge is the arch bridge3 nli"e beam bridges, the abtments at

    the ends are cr-ed shaped, li"e an arch3 Abtments are the components o+ the bridge that

    directly ta"es on the pressre3 A longer arch bridge may be composed o+ many arches to increase

    the length3 Arch bridges contain nmeros semicircles that elegantly distribte compression

    throgh its entire +orm3 Also, it /or"s by trans+erring its /eight to the abtments on the di++erent

    ends3

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    $igre ?3 Arch *ridge

    The +igre abo-e displays an image o+ an arch bridge located in Spain called the

    AlcDntara bridge3 It /as bilt in stone by the @omans, o-er the Tags @i-er3 The bridge has an

    interesting history3 It is belie-ed to ha-e been completed bet/een !&) to !&' A, althogh, it has

     been destroyed and rebilt mltiple times3 The bridge span is abot !.% meters3

    The last type o+ bridge is a sspension bridge3 A sspension is /here the dec" o+ the

     bridge is held belo/ by -ertical sspenders3 These bridges mst contain three main parts to it3

    The parts o+ the sspension bridges are the to/ers to hold the cables that sspend the bridge to

    carry its /eight, the cable itsel+, and dec" strctre3 Each sspension bridge is speci+ically

    designed +or each ni6e bridge ta"ing on accont o+ a cople o+ a++ecting +actors3 Some o+ those

    +actors are the geology o+ the area /here the bridge is hoped to be bilt and i+ it may be

    ssceptible to natral disasters, sch as earth6a"es3 The image in +igre . belo/ demonstrates a

    tremendosly bilt bridge in San $rancisco, Cali+ornia that is a sperb e0ample o+ a sspension

     bridge3

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    $igre .3 Sspension *ridge

    This +igre abo-e displays a /onder+l model +or the sspension bridge detailed abo-e3

    Sspension bridges ha-e cables that are connected to t/o tall to/ers3 The displayed +igre abo-e

    is o+ the olden ate *ridge3 It has t/o main to/ers that spport the t/o main cables3 These

    cables recei-e the tension +orces o+ the bridge3 The olden ate bridge in San $rancisco is abot

    %,?(? meters3

    $igre #3 $orce iagram o+ 5ther *ridges

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    The +igre abo-e sho/s a +orce diagram o+ the three other types o+ bridges discssed3 In

    the image, red represents compression /hile ble represents tension3 The beam bridge is the

    simplest o+ all bridges and can be easily nderstood3 The beam bridge consists o+ compression on

    all parts o+ the strctre and tension on the horizontal sector o+ the bridge3 The arch bridge is the

    only bridge in the diagram that does not sho/ any +orces o+ tension, and this is de to its ni6e

    strctre, bt the bridge comprises o+ compression rnning throgh the semicirclar strctre3

    The sspension bridge, /hich comprises o+ cables, has mch tension to its strctre and also

    compression on the horizontal sector and the poles /here the cables are sspended +rom3

    *rides can be constrcted in nmeros ni6e /ays that all ha-e ad-antages and disad-antages

    to their ses3 Each bridge design distribtes the /eight o+ its load in distinct /ays3 The bridges

    that /ere researched and described /ere cantile-er throgh trss, beam, arch, and sspension

     bridges3 These are the top strctral components o+ most bridges in the /orld3

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    Design and Development

    All the team members came together to discss the design o+ the bridge, each /ith their

    o/n ideas3 A+ter sharing all the possibilities, the grop decided that the se o+ triangles /old be

    the best design3 E6ilateral triangles are the best spporting strctre de to their e6al

    distribtion o+ /eight3 E6ilateral triangles contain three '& degree angles and all the sides are o+ 

    e6al length3

    $igre !&3 Completed Preliminary *ridge

    In the +igre abo-e, the +lly completed preliminary bridge is photographed3 The image

    displays ho/ the se o+ e6ilateral triangles /as incorporated into the basis o+ Ape08s bridge3

    Althogh the t/o sides /ere strdy de to its strctre and se o+ shape, pieces o+ balsa /ood

    /ere laid perpendiclar to both bridges to connect them3

    To recreate the preliminary and +inal designs +or the bridge, /e sed *entley

    Microstation Po/erdra+t so+t/are to dra/ them FAppendix CG3 A+ter analyzing the preliminary

    design, some strctral /ea"nesses /ere e-ident, leading s to re-ise the dra/ing3 The +inal

    design has signi+icant ad-antages o-er the pre-ios one3 The +irst isse /ith the preliminary

    design deals /ith the cantile-ers being too tall, pro-iding nnecessary /eight as /ell as

    e0ceeding t/ice the -ertical height o+ the sspended span3 The other isse is seen in the middle

    section connecting the t/o side -ie/ constrctions to gi-e the bridge /idth3 Analysis has sho/n

    that the /eight is improperly directed to the cantile-ers, de to neglecting to add an ade6ate

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    amont o+ spport on the sr+ace /here /eight is applied3 This is re-ised in the +inal design, and

    can be seen in the top -ie/3

    $igre !!3 $orce iagram

    $igre !! displays an image +rom Model Smart % that simlates the constrction and

    +orce on a bridge created3 The program sho/s the predicted strctre /eight and brea"ing load

    o+ the bridge3 The arro/s represent /eight being added in the do/n/ard direction, to act as the

    /ooden bloc" that /old e-entally be slid into the bridge +or testing prposes3 The colors on

    the simlation stand +or tension le-els the dar"er the color, the greater the amont o+ tension or

    compressi-e +orces on that member o+ the bridge3 It is e-ident that the members, that are directly

    nder the area /here the /ooden bloc" is placed on top o+, /ill pro-ide more compressi-e +orces

    /hile the otside parts pro-ide less3

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    Challenges

    Each team member created their o/n design and the designs /ere compared to identi+y

    /hich /old ha-e the greatest strctre3 sing the Model Smart % program, each design /as

    created and -irtally tested3 Srprisingly, the initial design chosen did not compete /ith the

    design that /as pigeonholed3 The design /ith the best -irtal strength to /eight ratio /as the

     basis +or actal constrction o+ the bridge3

    There /ere mltiple complications that occrred dring the designing o+ the bridge3

    These isses inclded not "no/ing /here e0actly to place each piece o+ balsa /ood3 Also, /hen

     placing the /ood, the o-erlapping pieces /ere not acconted +or /hich reslted in loosely

    appro0imating the angle at /hich they /old need to be ct at the ends3 oing along /ith this,

    the angle measrements /ere not precisely calclated and plotted, /hich led to inaccracy3

    Another complication +aced /as that /hen pins /ere placed into the /ood to hold them in place

    /hile the gle dried, they o+ten hardened /ith the gle into the /ood3 This reslted in di++iclty

    remo-ing the pins /hich led to minor brea"s in the /ood3 These brea"s /ere acconted +or and

    replaced bt it cold ha-e /orn the integrity o+ the bridge3

    $igre !%3 $ront Hie/

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    The +igre abo-e sho/s a +ront -ie/ o+ the completed cantile-er throgh trss bridge3

    Each side o+ the bridge /as created separately and independent o+ the other e0cept +or design

    /hich reslted in an ne0pected sitation3 5ne side /as slightly taller than the other, most

    -isible at the acme o+ the bridge3 This may ha-e cased the bridge or its distribtion o+ /eight to

     be ne-en3

    Most o+ the isses /ere ta"en care o+ and their e++ects /ere minimized3 Althogh ha-ing

    not started /ith a method, a process /as created to ha-e, in theory, e6ally sized and angled

     pieces o+ balsa /ood to bild the bridge ot o+3 4e also created a process o+ /hich grop

    member /old do /hat 2ob to increase e++iciency and sol-e the problems that dealt /ith

    materials and time3

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    Data and Calculations

    A+ter the +e/ days o+ designing, bilding, and +inalizing or preliminary bridge, the day

    to test or otstanding bridge +inally came3 To test the model bridge, the physics teacher at the

    STEM center created a contraption to simlate the +orce on the bridge3 The bridge /as to be laid

    on top o+ this stimlation and a F!) in long 0 % in /ide 0 ! in highG bloc" o+ /ood /old slide

    throgh the inside o+ the bridge to rest in the center3 This bloc" o+ /ood is attached to a bc"et

    that /ill be the basis +or calclating the strength o+ the bridge3 The bc"et is +illed /ith sand +or

    an accrate measrement that slo/ly and steadily can increase /eight on the bridge7 compared to

    tossing in measred /eights, sch as !&& grams at a time3

    $igre !(3 Testing Simlation

    This +igre displays the simlation described be+ore3 9ere yo can see the physics teacher 

    is adding in the measring tensil o+ sand into the bc"et attached to the bloc" o+ /ood inside

    or bridge3

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    $igre !)3 A+termath o+ *ridge Strength Testing

    In this +igre abo-e, the preliminary bridge is photographed a+ter it had 2st gone throgh

    the testing portion o+ this research3 As yo can see in the photo, most o+ the actal bridge

    sstained the simlation, ho/e-er, the lo/er part o+ the le+t side, /hich /as "no/n to be a /ea"

    spot +rom bilding di++iclties, /as destrcted3 Another +la/ is that the middle section that

    spports the /eight o+ the /ood did not distribte the /eight to the cantile-ers properly, leading

    the sspended span to +ail /hile the cantile-ers remained intact3 Strengthening the middle section

    that connects the t/o side sections /old ha-e yielded more desirable reslts3

    4eight o+ Sand *loc" o+ 4ood 4eight o+ *c"et Strength o+ *ridge

    '&%#3. %)# !1. '!%&3. grams

    $igre !13 Strength o+ *ridge Calclation

    In the +igre abo-e, there is a -isal o+ the calclations /e had made /hile actally

    testing the bridge8s strength3 These calclations /ere all ta"en in grams3

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    Table !

    @atio o+ *ridge Calclations

    Strength o+ *ridge FgramsG 4eight o+ *ridge FgramsG @atio

    '!%&3. ('3' !'?3%

    Table ! displays the calclations o+ the /ay /e got the ratio o+ the strength o+ bridge to

    the /eight o+ the bridge3 To get the ratio, /e too" the strength o+ the bridge and di-ided it by the

    /eight o+ the bridge to get or ratio3

    4eight That *ridge 9olds FgramsG4eight o+ *ridge FgramsG @atio

    '!%&3.('3'!'?3%

    $igre !'3 Calclations +or @atio

    In the +igre abo-e, /e ha-e pro-ided a -isal o+ the process to get or strength to /eight

    ratio3

    Safety

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    Sa+ety is nmber one priority3 Althogh the only materials the bridge cold be compiled

    o+ are /ood and gle7 many other items /ere needed +or its constrction3 @lers, scissors, pliers,

     blades, needles, pins, and more /ere all sed to complete the bridge3 Althogh some o+ these

    may be harmless, a +e/ may case damage i+ sed improperly3 Sa+ety goggles, proper se, and

    cation, and a series o+ steps /ere inclded +or sa+e handling3 Accidents, sch as getting stabbed

     by pins, may occr i+ the tas" is not ta"en seriosly3

    $igre !?3 4or"ing 9ard $igre !.3 Team 4or"  

    In the +igres abo-e, /e are all pictred throghot the process o+ bilding or

     preliminary model bridge3 This pro2ect /as a team/or" e++ort in not only helping bild the

     bridge together bt, also by "eeping each other sa+e3 4e all loo"ed a+ter each other to ma"e sre

    nothing seriosly dangeros /as e-er arond to hrt any other team member3

    Conclusion

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    All things considered, or +inal design is satis+actory3 The team had ma2or sccesses in

    coming to a consenss, and /e ha-e con+idence in or reslts3 The pro2ect has bene+ited s all in

    se-eral /ays, the +irst o+ /hich regarding or physics edcation3 The stdy o+ compression and

    tension +orces is rele-ant to topics learned in or physics class, and the real li+e e0ample created

     by bilding the bridge only strengthens or "no/ledge3 Aside +rom physics, the pro2ect has

    taght s many s"ills as /ell3 4ith a limited amont o+ time, the grop needed to manage their

    time /isely to ha-e the pro2ect completed properly and on time3 It also strengthened the ability to

    /or" throgh stress by dealing /ith a narro/ time /indo/ and cooperating /ith others3 4hile

    cooperating /ith others, /e strengthened or general team/or" s"ills7 de-elopment o+ grop

    s"ills also bene+its s in or annal research pro2ects3 4e are +ortnate to be a team that

    cooperated /ell and /or"ed to create a +inal prodct that is sre to challenge the competition3

    Acknowledgements

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    • reg McMillan

    o Physics teacher at the Macomb Mathematics Science Technology Center3 9e

    helped aid s /ith the bilding o+ the preliminary bridge by pro-iding s /ith

    correct in+ormation o+ the rles and restrictions o+ the competition3

    • @osemarie Cybls"i

    o Interdisciplinary Stdies FISG teacher at Macomb Mathematics Science

    Technology Center3 She helped s throgh this proposal procedre to get s

    in+ormed o+ the rles and reglations to +ollo/3

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    KThis Site @e6ires a Modern *ro/ser /ith Ja-ascript Enabled +or $ll $nctionality3K Most

    Stale S!ape" #riangle3 N3p3, n3d3 4eb3 %? Jan3 %&!'3

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    Appendix A Scheduling

    !3 *egin research on Cantile-er Throgh Trss *ridge on !anuary "#$ "%&'3

    %3 *egin s"etching model bridges on CA So+t/are on !anuary "($ "%&'3

    (3 *egin bilding preliminary model bridge on )ebruary *$ "%&'3

    )3 Test preliminary model bridge on )ebruary +$ "%&'3

    13 Proposals are de )ebruary &"$ "%&'3

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    Appendix B Daily !ournal

    Janary %1, %&!'

    • Mario I began to research di++erent types o+ bridges +or bac"grond in+ormation3 I

    +ocsed mainly on the Arch bridges3

    Merna I began to research di++erent types o+ bridges +or bac"grond in+ormation3 My

    +ocs today /as based arond the Sspension bridges3

    • Joe I began to research di++erent types o+ bridges +or bac"grond in+ormation3 I +ocsed

    on the beam bridge to research3

    Janary %', %&!'

    • Mario, Merna, and Joe 4e contined or research on the di++erent types o+ bridges3 4e

    gathered bac"grond in+ormation to prepare +or the cantile-er throgh trss bridge3

    Janary %?, %&!'

    • Mario, Merna, and Joe 4e all conclded or mini research on the di++erent types o+

     bridges and +inished or bac"grond paper abot the bridges to help /ith gathering

    conte0t in+ormation3

    Janary %., %&!'

    • 4e began s"etching +or or cantile-er throgh trss bridge3

    • Mario I created a s"etch consisted o+ many e6ilateral triangles3

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    • Merna I created a s"etch consisted o+ symmetrical tension and compression members to

    it3

    • Joe I created a similar design to that o+ Mario8s s"etch, bt he had only abo-e bridge

    cantile-ers, /hile my design contained the same bt /ith t/o cantile-ers3

    • The preliminary bridge /as chosen by combining all the great concepts +rom each bridge3

    The s"etch too" Mario8s many e6ilateral triangle /ith Joe8s similar strctre and added

    Merna8s great sense o+ bac"grond "no/ledge on tension and compression locations3

    Janary %#, %&!'

    Mario I assisted in helping disco-er ho/ to se the *entley So+t/are along /ith Joe and

    Merna3

    • Merna I also assisted in disco-ering the correct se o+ the *entley So+t/are /ith the

    other t/o members3 I personally /atched ttorial -ideos to ge the gist o+ ho/ to se the

    so+t/are correctly3

    • Joe I /as the main controller +or the *entley So+t/are, since I /as chosen to be the

    e0pert o+ the team on it3

    • 4e ran into design problems /hile sing the *entley So+t/are, sch as triangles not

     being as precise as e0pected3

    $ebrary !, %&!'

    • Mario I contined to s"etch in the *entley so+t/are pro-ided to s3

    Merna I contined to s"etch in the so+t/are, as /ell as aid in the start o+ the Model

    Smart % So+t/are3

    • Joe I began to sca-enger the so+t/are to +ind the best /ay to recreate or preliminary

     bridge3

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    $ebrary %, %&!'

    • Mario and Merna 4e sat beside Joe to help /ith creating a good simlation o+ the

     preliminary model bridge in the % so+t/are, then began on the Model Smart (

    So+t/are3

    • Joe I conclded the process o+ sing the % so+t/are and +inally began recreating the

     bridge on the ( So+t/are3

    $ebrary (, %&!'

    • 4e begin to bild the test model +or the cantile-er throgh trss bridge all together3

    Mario I /as in charge o+ inserting pins in the /ood to hold in place and gleing3

    • Merna I /as in charge o+ measring and ctting ot pieces to ma"e sre they +it in place

    o+ the bridge, /hile also +ollo/ing competition rles and gidelines3

    • Joe I /as in charge o+ ma"ing the li+e size model o+ the e6ilateral triangle to se as a

    model triangle +or the rest o+ the bridge3

    $ebrary ), %&!'

    • Mario, Merna, and Joe 4e all had the same 2obs as the day be+ore3

    • Team member Joe had an accident this day3 4hile sing an e0acto "ni+e, he managed to

    slip and hrt himsel+ slightly3

    • Mario A+ter seeing Joe, I realized ho/ mch more care+l /e all need to be /hile

    /or"ing on the pro2ect3

    Merna I had to contine /or"ing on or bridge to "eep p /ith or schedle3

    $ebrary 1, %&!'

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    • Mario 4hile plling ot the pins, that held the 2oints o+ the bridge together /hile drying,

    a +e/ pins /ere stc" inside the /ood and managed to brea" some /ood pieces in hal+3

    e to this problem, /e had to replace the pieces and /ea" spots /ere created3

    • Merna I too" charge and began on the second +ace o+ the bridge3

    • Joe I helped Merna begin the second +ace o+ the bridge by ctting p pieces to create the

    e6ilateral triangles3

    $ebrary ., %&!'

    • Mario, Merna, and Joe 4e all come together to assemble the bridge trans+orming it +rom

    % to (3

    • Merna Problems occrred /hile per+orming this assembly3 The di++iclties /ere that the

     pins /ere not properly laying by the 2oints casing them to create /ea" spots3

    • Joe It /as di++iclt to create t/o independent sides and connect them together3

    • Mario The gle and pins interacted together /ea"ened the bridge and also made the 2ob a

     bit sloppy3

    $ebrary #, %&!'

    • The grop tested the bridge in the simlation created by the physics teacher3

    • Joe I recorded the simlation /ith a slo/motion camera

    • Merna I recorded data and calclated the in+ormation +or the strength, /eight, and ratio

    o+ the bridge3

    Mario I helped setting p the simlation to ma"e sre e-erything /as as accrate as

     possible3

    $ebrary !&, %&!'

    • Mario I contined to /rite the +inal proposal3

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    • Merna I too" charge and di-ided the /or"load o+ the +inal bridge proposal in a schedle

    on /hen certain sections /ere to be done and proo+read3

    • Joe I contined to /or" on the *entley Microstation Po/erdra+t +or dra/ing3

    $ebrary !!, %&!'

    • Team members again ha-e the same 2obs as the day be+ore and contined to /or"

    diligently3

    $ebrary !%, %&!'

    • Team members conclded the +inal bridge proposal and send it in hopes o+ being

    accepted3

    30