Top Banner

of 8

Rigid Column Theory Examples

Oct 15, 2015

Download

Documents

Steven Goddard

Examples of Problems relating to Rigid Column Theory from the Thermofluids Module at The University of the West of England
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
  • 5/26/2018 Rigid Column Theory Examples

    1/8

    ( J u e o : : , , { ; r . f \ ( .( ( e - o ; f ,

    - ~( \ \r:IA CollI n 10 I hQacur \oJ- ~ I I --r1n n o . , J.lp~ \ /nhr , - (1( \ 0.. 2 5N \ 0 D2_ tll\ lt- is. Clc setl_ _ , I I- 7 ~ ...,.. ...~S \ ~ ia\l-\c..~ \ c c \ ~ , ~o ~.-

    nil \ 8mls C ,\c~l~k -ku_ f S5U... ns-e (pu\s-e.II V < \p l ih z d r ) \ 10.\ ,,- C\o:SO~ .. Mel Column .~-IF assl)ml~~r C _ w ; _ J r u d c r tS M l dtzce{e~~ -h.a: ~ SP~c f - Muoel ,..0 \ ~o.\.er j.s 4-50 m ls ~ ~hC d Q} D ~MC:> o C C~ .....-.n o :::tka..-Va\ve 7 '7 ? F FOOd..

    -e, coo k - a . l K \ @ , = - g BI M s ~I -._l Ir-- r tu:R 1 5 ~ Ap -pL ~ : Ic3X2.5X8 5 N~--t- , X \0- - -c .. 2

    I~~ osot Q._ , ; e. , , o rD;~ [b;.~A 21 --- I0.. ~

  • 5/26/2018 Rigid Column Theory Examples

    2/8

    ~ o P t[

    II - \O I~C -~ ~ , ,

    r>

    --~ - 6- 82~ t - . - t / . s~

    ~: ..t \ .. l.. 1 1 ~? a. ~ IIV >

    ::;. 1 \0 - 0 * + Se(onJs- IctoQ~I- - I~ J r - \ - -- \t . , - ,/0- ,~~ ~ .H ~~

    ~~j// / /

    i-~/ / / / / / ,

    t b v ; ) IS nn. .... . . . .. . . . h ..... . . . r t . D l0 . . \ 9.Ito0ll0.30 10 fu ; : :mQ,d~, V u~~, IAlbiA a : i M -l- Q .fu_ ~la\~f IS ~kl~ : Q\l~0'1 ~,.A * 5 5 , < > C ,\ / ' \ I \ A S f 2 . . M . . . c t, ~ c . \ - ' II1 0{2~SU~ ~\ S ~ ~?..51. e...,.... * ~ ~o.\~ .i~ :: ~ t C6u~IAc . < t ' ' ' ' : ' ' '' 1> ( . . . . . . .. . , ((0C\ kl) t ~ c e \ e ( l : l K Q n o f ~ ~~I~ C Q \ I . I M I \ . J T . .H= \0 \ - t ~ 2M D =- 0\ -:::\00 1 . . .00 2....5 , - - . . . _0 : : : . 1000 k a /M J ~- q-81 , 1 < 1, _ , .

  • 5/26/2018 Rigid Column Theory Examples

    3/8

    V f L -e, \ 00 5 ) 100 ~-l. 1 1 t L ~~~~~ ~V ~~ I ~~ ~M~

    L A : : 2 .. x \.8\ x 10

    J

    p ~ u r 4 . _ p ,s 1 b J ~ f ~ C . \ ~ ~no i 5 egl\AQ \;OOe.5 pIllt\ r ~ f . .1 1 ) . . . i . . . . ito ?rL_~l~ l:; (A L , - - - - - - - - _ _ , - - - = ~ = _ - - - - _

    f;/

    .

    / \

    J -~

  • 5/26/2018 Rigid Column Theory Examples

    4/8

    ~ o . < tMo. , \u~t~ r>t : I > N 2 ..

    ~j~- 1~ X .~, ~ 1Q - g\oo t-.J 1 m~ f L \ , / o- 02. 5 )(\00 _ \ 2 ..\- . . . . . . ? 1lf i1) T I 2 . \ lAc : : : 1 + - 1 ) X , : ; ; ) U U ~\ o , - 1 ,x Soo X. 2 14-,~ - q IOO ~~~ tp~

    G~J. \ )ce. .s 1~ ~ ~A ~p u; IOCO )(It \oX i~rI ~ - 55000 N / r n 7 . . . 'Pvl~5 --

    r. I ( \ - - 1T { r ~ . . . . . , / v l 5 e -. . . . .~ -: ./ I J~. . . . . M~. . . .~ . . . . ,. . . .

    ~ 1 o p v s e . _,

    a . 1 . lOI , I Ik. ~~M~

    r----~ 5 \ \-l ?\~i- .1-2o~g ~ ,- ~~t-- - - . . . . . .. 1 -f - .~(t\

    f l - ~ \OCOfV1 .j 1 \ I : \ - I -:. . . . . . . . . . c;. I

    ~~~.,/ ...L_ f . . . . . . . . . - ., . .. .. . . ,. -: , . . I V : ,,. -~+ - ~ o2. tn' ,,n,,1 flG~( ,).3, rt \J

    w ,de. ~)J \ .1 ; ~ \ v:\11(> Con~ k.. = - 0 02-Ka/M 5 IP \cooI 0

    ~ d ;AtI\r1.tY 1 rA\.- ~ ~~~.o.. ~~ \_L. J\ 4 ~\t\ C, . c . l . . . . . \ - r>, . , . _U \I -f)..g

  • 5/26/2018 Rigid Column Theory Examples

    5/8

    . Q ~< j0 (1rJl.. n Q . \ d a n A \ocompN.S S\ ~\g,_ c u A ~ ~ e o ~ 0 I \ c A . ~A~- -J( ( se.r \)o\r _ I f . > _ u d s . ~o:..r\ C~n s\-(;\/\=

    As~o~C l . l , \ c i . \ r . . , . . _ r\ ~6\iot\ o R 14- B u , J C d I c,..\c~~,,\-~ --\...Jn__.a.D n < > p _ ,0.\' ..\ , 0 - t l a . _ ucd\Je . . lrl~ . t = s ; . - : \ r u i 5, ~)~,~\ --> e > frl m dAtA ~,-,.Ll : \ - < R . . \ ,b ,O HOJ) r . S S O ~ c M - _ _ _ _ : : bM ~ p : > ~ i 0(\( k ~ 1 A . - \ t , , _ C n m o U t . - \ - Q _ C OS~Ml C b : v AJ

    \n ,.k~ J..\, ~~ k_t:~U o - Pls .~e . . . 1 \0 ,( O \osses.r>; ~

    - I llP . = = - 1 : t :- Ip , Z. t - I 2+ - T \ u, -+ ~\J .-: ;- tA o/l

    P . - ~ - t L ~ ~ p ~ U 2 _ [ e _ - )- \l> J l ~ n/~\~ f Dl A o : ; . 2 . K(Zo-lO )XfO;:)\, (O O l.X1OOOl ~ SIt-8 r r ~OCO x. ~ -t - o 02 .

    \~, /

    r R . . , _ _ . . . . oL:> R\~- . . .1h.L~a.1; ';L~ f . - ~ P y -~~ = p + t / o . . \ 1 . - ~~ u.. l .. /< o JSo~ D . + O o .H . - J_~u~ - % - 1 - ~ L r v = - f ? - L ~.\ I 2.. ~

    I \i ) . . , = - P . + - p \ . \ . - It 1 )ipl.\~ - - t- ( ) L - 2 -I , _ , I --.;;(._\

    r>. S k ~ c _- o . { - ( ) , , ~ 0)(\05 -t-'18\0)(5 - 2 0 1 _n ,~ v..... - 2n.LLg b o r\ ....1 I

  • 5/26/2018 Rigid Column Theory Examples

    6/8

    ----t----_l_~~)Gi~-{A -~~~~-0---~6-- -7-( ) - 6 - 7 : x - X - 1 : > l s - o o : : ~ ) ( ~ ~ - 5 0 _ _ - '4 - ~ a ~ l t ~ - : ~ l _ Q I - o 1 J I - ~ t 6 _ - 6 . ' l i _ b _ 4 f 2 ~ = =- 10 I ~ h r

    l

    1

    : r t . . . . __ 1 -

    . . . .

  • 5/26/2018 Rigid Column Theory Examples

    7/8

    l ,l..~ 4n ~ b ~ -b, I - fuR_. VaI - cl , t t : : 3 o v ____ +--___.o..~~ r ~ ~e.. Jk ~;jh'= io - f 1 , . . g , . kh~ f____ __~ 'O~',A~~. ~ c::;...__~~~QOu.:;s_b ~:l_ciuo.n~-~se o c A : T N ? _ A h : t u Jecr io

    - . A . { J../ .. \ CoMyt-t.S~\lsL ColuMo Co.. \culoJe. . u pre.SS.U1 4.. ~_ t O

  • 5/26/2018 Rigid Column Theory Examples

    8/8