Upload File

pylon vector solution.pdf

5
 7/27/2015 pyl onvectorsol uti on htt p://design -tech nology-in-stem.x10.mx/02%20structu res/St ructu resDesignProblems/Pylon Prob lem/p ylonso lution s/pylonvectorsolution.html 1/ 5 Follow Up Solutions to Pylon Problem The following space diagrams and vector diagrams offer some alternative solutions to this design problem. Design A  Because the framework and the loading are both symmetrical, it is possible to assume that the support reactions are 10  N each. The angles between the members are either at 90,60 or 30 degrees, which enables to use of standard drawing  board triangles (‘set squares’). The vector diagram can be drawn as follows. ( refer to stepladders  for an explan ation of Bows Notation method of vector analysis) Draw ‘a’ to ‘b’; ‘b’ to ‘c’; ‘c’ to ‘d’, ‘d’ to ‘a’; (use a suitable scale say 5mm (or 2/10 th  of an inch) repr esents 1  Newton) Looking at the left hand end of the space diagram A and B have been established as ‘a’ and ‘b’ on the vector diagram, H is between A and B so the vector position of ‘h’ can be determined by triangulation. Hence draw a line from ‘b’  parallel to HB to intersect with a line drawn from ‘a’ parallel to AH. The position of ‘e’ can be determined in the same way as ‘h’ (ae parallel to AE and de parallel to DE) Determine ‘f’ by drawing from ‘a’ to ‘f’ parallel to AF and intersect with a line, from ‘e’ parallel to EF. The position of ‘g’; can be determined in the same way as ‘f’. ‘f’ and ‘g’ are both at the same location which indicates that the member FG is technically redundant, however as the framework is assumed to be pin jointed, FG is required to maintain rigidity in the framework. The nature and magnitude for each member can be measured from the vector diagram.  Member Nature of reaction Magnitude  AE tension 20 N  AF tension 17.32 N  AH tension 20 N  BH compression 17.32 N CG compression 17.32 N  DE compression 17.32 N  EF compression 20 N  FG redundant 0  GH compression 20 N

Upload: 2011kumar

Post on 02-Nov-2015

215 views

Category:

Documents


0 download

Report

TRANSCRIPT

  • 7/27/2015 pylonvectorsolution

    http://designtechnologyinstem.x10.mx/02%20structures/StructuresDesignProblems/PylonProblem/pylonsolutions/pylonvectorsolution.html 1/5

    FollowUpSolutionstoPylonProblem

    Thefollowingspacediagramsandvectordiagramsoffersomealternativesolutionstothisdesignproblem.DesignA

    Becausetheframeworkandtheloadingarebothsymmetrical,itispossibletoassumethatthesupportreactionsare10Neach.Theanglesbetweenthemembersareeitherat90,60or30degrees,whichenablestouseofstandarddrawingboardtriangles(setsquares).

    Thevectordiagramcanbedrawnasfollows.(refertostepladdersforanexplanationofBowsNotationmethodofvectoranalysis)

    Drawatobbtocctod,dtoa(useasuitablescalesay5mm(or2/10thofaninch)represents1Newton)

    LookingatthelefthandendofthespacediagramAandBhavebeenestablishedasaandbonthevectordiagram,HisbetweenAandBsothevectorpositionofhcanbedeterminedbytriangulation.HencedrawalinefrombparalleltoHBtointersectwithalinedrawnfromaparalleltoAH.

    Thepositionofecanbedeterminedinthesamewayash(aeparalleltoAEanddeparalleltoDE)

    DeterminefbydrawingfromatofparalleltoAFandintersectwithaline,fromeparalleltoEF.

    Thepositionofgcanbedeterminedinthesamewayasf.

    fandgarebothatthesamelocationwhichindicatesthatthememberFGistechnicallyredundant,howeverastheframeworkisassumedtobepinjointed,FGisrequiredtomaintainrigidityintheframework.

    Thenatureandmagnitudeforeachmembercanbemeasuredfromthevectordiagram.

    MemberNatureofreactionMagnitudeAEtension20NAFtension17.32NAHtension20NBHcompression17.32NCGcompression17.32NDEcompression17.32NEFcompression20NFGredundant0GHcompression20N

  • 7/27/2015 pylonvectorsolution

    http://designtechnologyinstem.x10.mx/02%20structures/StructuresDesignProblems/PylonProblem/pylonsolutions/pylonvectorsolution.html 2/5

    ThevectordiagramforDesignBcanbedrawnisasimilarmanner.ThereisanobviousdifferenceinEFandGHastheyareredundantinthissolution.FGremainsredundantbutallthreeredundantmemberswillberequiredtomaintainrigidity.

    DesignB

    Thenatureandmagnitudeofthereactionsinmembersareshownbelow.

    MemberNatureofreactionMagnitudeAEtension17.32NAFtension17.32NAHtension17.32NBHcompression20NCGcompression17.32NDEcompression20NEFredundant0FGredundant0GHredundant0

    Itisalsopossibletousetrigonometrytoobtainaccuratevalues..

    Inbothvectordiagramsabis5Nsoahandbhcanbedeterminedasfollows

    x=10x=10Sin30Tan30=20N=17.32N

    IfthearmsareextendedandtheanglesbetweenthearmsarereducedasintheDesignCtheinternalreactionsinmembersareincreased,ascanbeseeninthediagramsbelow.

    ThevectordiagramfordesignCisdrawninasimilarmanner.

    WhenthisdesigniscomparedwithdesignAyouwillseethatthemagnitudeoftheforcesinseveralmembersisincreasedbecauseofthechangeinanglebetweenthemembers.

    DesignC

  • 7/27/2015 pylonvectorsolution

    http://designtechnologyinstem.x10.mx/02%20structures/StructuresDesignProblems/PylonProblem/pylonsolutions/pylonvectorsolution.html 3/5

    Athreedimensionaldesignsolution

    Alltheaboveanalysisassumesthatthestructureispurelytwodimensional,whichofcourseisnotthecase.

    Belowisasketchofapossible3dimensionalsolutiontotheproblem.Thisrequiresadditionalmemberstobeanalysed,whicharedrawninathickerline.

    Astherearenow4verticalsupportpositionsthereactionateachisnowonly5Newtons

    Threeseparateviewsareshownbelowofthe3dimensionaldesign.Thealtered/additionalmembersaredrawninathickerline.

  • 7/27/2015 pylonvectorsolution

    http://designtechnologyinstem.x10.mx/02%20structures/StructuresDesignProblems/PylonProblem/pylonsolutions/pylonvectorsolution.html 4/5

    Todeterminetheforcesinthenewhorizontalmembers,usetheprojectionviewfromP.Theoriginaltwodimensionalvectordiagramsolutiongaveacompressionforceof17.32Ninthesinglehorizontalmember.Thisforceof17.32NewtonsisnowopposedbytwonewmembersshowninthespacediagramKLJ.

    Fromthespacediagram,drawthevectordiagramklj,fromwhichthevaluesofljandjkare8.94N,bothinCompression.

    Thevaluesforthetwomembersontheoppositesideofthepylonwithhavethesamenatureandmagnitude.

    TodeterminetheforcesinthethreenewmembersformingthetrianglesatthetopofthetowerconsidertheviewfromEEanddrawthespaceandvectordiagrams..

    Remembertheanglesbetweenthetriangleframemembersare60degrees.

    Thenatureandmagnitudeofthereactionsinmembersareshownbelow.

  • 7/27/2015 pylonvectorsolution

    http://designtechnologyinstem.x10.mx/02%20structures/StructuresDesignProblems/PylonProblem/pylonsolutions/pylonvectorsolution.html 5/5

    MemberNatureofreactionMagnitudeNQcompression5.77NPQtension2.88N``MQcompression5.77N

    Alloftheabovedrawingshavebeencompletedusingacomputerdrawingprogram.Theaccuracyofthevectorvalueshavebeenconfirmedbytrigonometricalcalculations.

    LongSlendermembers

    Longslendermembersarelikelytobuckleundercompressionbeforethemembersundertensionfail.Itisadvantageoustobracetheframewithdiagonalsatanoptimalangleof45degrees.Asshownintheillustrationsshownbelow.

    GotoStructuresDesignProblemindexORGotoStructuresIndexORGotoMainIndex


Dec-12 Solution.pdf

Smart City Solution.pdf

Tutorial Chapter 2 solution.pdf

(NAP) PAVILION 1 · PAVILION 1 PAVILION 1 PAVILION 2 C o bb P PAVILION 3 l ace L n NW Maison Du Monarque Cobb Place kwy 75 PYLON PYLON PYLON PYLON PYLON Tenant Available Not A Part

Installation Guide - infocenter.sybase.cominfocenter.sybase.com/help/topic/com.sybase.dc20068_1251/pdf/... · Pylon Conduit, AvantGo Pylon PIM Server, AvantGo Pylon Pro, B ackup Server,

MRC Pylon Racer

“Active” Chapter PYLON

Chapter 2 Solution.pdf

TUCSON SPECTRUM - rvi-assets.s3.amazonaws.com · 105 79 116 487 19 1089 774 101 89 92 18 7 4 6 pylon pylon ... calle santa cruz calle santa cruz pylon pylon pylon ... 200 visionworks

sedra solution.pdf

levenspil solution.pdf

PYLON SIGN PYLON SIGN RESTAURANT 1,300 SF RETAIL 2,730 … · 2018. 7. 5. · pylon sign pylon sign restaurant 1,300 sf retail 2,730 sf o'reilly's (7,650 s.f.) 11th street loading

Pylon Suramadu

Oracle Warehousing Solution.pdf

HW1 solution.pdf

BOYLESTAD SOLUTION.pdf

Pictorial Information Homework 2 1 Question 1: Calibrating ...users.umiacs.umd.edu/~cteo/.../hw-data/...solution.pdf · 2. The rotation vector om is a non-normalized vector codirectional

Plumbing & Drainage Solution.pdf

Visual Dictionary - Pylon

RC PYLON | CL COMBAT | CL SCALE | CL NAVY CARRIERRC PYLON ...amablog.modelaircraft.org/nats/files/2018/07/070918.pdf · RC PYLON Electric Formula 1 (EF1), the third of fi ve RC Pylon

RC Pylon Racing

Scholar Update! PYLON

general_topology solution.pdf

Interfaces and Integration Solution.pdf

Erdbebenschaden am 5. Pylon in Karnak - Uni Kassel · Pylon in Karnak. Der unfertige 1. Pylon in Karnak. Reste des Lehmziegelgerüstes am 1. Pylon in Karnak. Der Pylon von Edfu: Das

MX Minifog press solution.pdf

BSC6000 Solution.pdf

Outdoor Solution.pdf

Energy Management Solution.pdf

PYLON TECHNOLOGIES - Philsolar

Pylon sign

Manufacturing Pylon Signs

Gases & Bonding Solution.pdf

ΤΙΜΟΚΑΤΑΛΟΓΟΣ - EasyComTech · 2018. 7. 2. · pylon hospitality 23 pylon restaurant 29 pylon business accounting 33 ΣΥΓΚΡΙΤΙΚΟΣ ΠΙΝΑΚΑΣ ΔΥΝΑΤΟΤΗΤΩΝ

Pylon Signs