GATE_Civil Engineering Question Paper_2006

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  • 7/30/2019 GATE_Civil Engineering Question Paper_2006

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2 hv

    (d p 5

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2) {`dz v`c~ij bn `n edphe~e|nrehvvhbin nphz krdjhngz acr vchi {hz` v|nfhahf krdqhzx ca 2'> dgj |crcvhzx ca > (b (j

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2 ca d {dvzn{dznr vde|in) >) 4< dgj >< eI diht~czv ca z`n {dvzn{dznr {nrnjhi~znj zc 6 8'2 1'8

    2' 4< 8'4 :':

    6' >< 0': ek#I (b 421'> ek#I (f 488 (b >88 dgj 688 (f 188 dgj 488 (j 188 dgj 688

    40' Ha dkkrnkdzn vh}n ca > ee (f >6 ee (j 8< ee

    48' Gden z`n zrdaahf v~rqnx jdzd {`hf` hv |iczznj bx endgv ca Jnvhrn ihgnv'(d Dffhjngz (b Fidvvhahnj qci~en(f Crhkhg dgj Jnvzhgdzhcg (j V|nnj dgj Jnidx

    2 fdrrx z { c edrov ndf`

    24' Acr d khqng edzrhp D 5

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2 (f 4';08 (j 4' dgj :'2) rnv|nfzhqnix' Hz hv jnfhjnj bx z`n fc~rvn hgvzr~fzcr zc gcredih}n z`n edrovca z`n vz~jngzv ca dii bdzf`nv zc `dqn z`n vden endg dgj vzdgjdrj jnqhdzhcg dv z`dz ca z`n ngzhrnfidvv' J~n zc z`hv) z`n edrov ca d vz~jngz hg bdzf` F drn f`dgknj arce 0'> zc

    (d 1'< (b ;'< (f 0'< (j 8' fdif~idzcrv drn rdgjceix|hfonj acr hgv|nfhcg ((h'n') ndf` `dv z`n vden f`dgfn ca bnhgk vninfznj) {`dz hv z`n |rcbdbhihzx z`dzcgix cgn ca z`n jnanfzhqn fdif~idzcrv {hii bn hgfi~jnj hg z`n hgv|nfzhcg 3

    (d2

    4(b

    6

    4(f

    :

    4(j

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    4

    20' D v|`nrhfdi gd|`z`dingn bdii np|cvnj zc z`n dzecv|`nrn icvnv qci~en dz d rdzn |rc|crzhcgdi zc hvhgvzdgzdgnc~v v~radfn drnd j~n zc nqd|crdzhcg' Ha z`n hghzhdi jhdenznr ca z`n bdii hv 2 fe dgj z`njhdenznr rnj~fnv zc 4 fe daznr 6 ecgz`v) z`n bdii fce|inznix nqd|crdznv hg

    (d 1 ecgz`v (b 8 ecgz`v (f 42 ecgz`v (j hgahghzn zhen

    28' Z`n vci~zhcg ca z`n jhaanrngzhdi nt~dzhcg)

    p2jp

    jx/ 2px p / 4 5 < khqng z`dz dz p 5 4) x 5 < hv

    (d2p2

    4

    p

    4

    2

    4 (b

    2p2

    4

    p

    4

    2

    4 (f

    2p2

    4

    p

    4

    2

    4 (j

    2p2

    4

    p

    4

    2

    4

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2

    {{{'t~nvzhcg|d|nrv'gnz'hg

    KDZN FHQHI NGKHGNNRHGK 2'8 oG

    (f 0'8 oG

    (j 4;'0 oG

    b

    j

    D F

    E

    JB

    EE

    I I I

    D F B

    \

    I I

    ;>

    >

    >. dgj ahnij fd|dfhzx ca 60.' Acr d |drzhf~idr frc|) z`nrccz }cgn jn|z` hv 4'< e) z`n |nredgngz {hizhgk |chgz hv 4 ee#j' Haz`n hrrhkdzhcg naahfhngfx hv 1j (b 1j (b 8j (j 4> j

    >6' D `xjrd~ihf m~e| cff~rv hg d rnfzdgk~idr) `crh}cgzdi) arhfzhcginvv f`dggni' [`dz {c~ij bn z`n |rn%m~e|jn|z` ha z`n jhvf`drkn |nr ~ghz {hjz` 2e6#v#e dgj z`n ngnrkx icvv hv 4 e3

    (d e6#v |nr enznr {hjz`' Z`njnvhkg hv bdvnj cg z`n Edgghgkv nt~dzhcg {hz` z`n rc~k`gnvv fcnaahfhngz cbzdhgnj arce z`n krdhg vh}n~vhgk Vzrhfoinrv nt~dzhcg dgj rnv~izv hg d gcredi jn|z` ca 4'< e' Bx ehvzdon) `c{nqnr z`n ngkhgnnr~vnj z`n krdhg jhdenznr hg ee hg z`n Vzhfoinrv nt~dzhcg hgvzndj ca hg enznr' [`dz v`c~ij bn z`nfcrrnfz gcredi jn|z`3

    (d < e (f 2' 40 (f :': (j 6'8

    1' Fcgvhjnrhgk zczdirndfzhcg zhen ca z`n jrhqnr dv 2'> Fcgvhjnrhgk zczdi rndfzhcg zhen ca z`n jrhqnr dv 2'> vnfcgjv dgj z`nfcnaahfhngz ca icgkhz~jhgdi arhfzhcg dv

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2. dgj rdzn ca

    hgzrcj~fzhcg ca z`hv v~|nrninqdzhcg dv 4 hg 4> 1:>'00< (b 4>1'26< (f 4>;'60< (j 4>;'01>4'04>) >>4'04> (j >>4'04>) 860'401

    18' J~rhgk d inqnihgk {cro dicgk d adiihgk krdjhngz ~vhgk d J~e|x inqni dgj d Vzdaa ca 6e ingkz`)aciic{hgk v~ffnvvhqn rndjhgkv {nrn zdong = 4';0>) 2'86>)

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2 Fdrrx z { c edrov ndf`Vzdz nengz ca Ihgonj Dgv{ nr T~nvzh cg ;1 dgj ;;

    Fcgvhjnr d |rc||nj fdgzhinqnr bnde DBF ~gjnr z{c icdjv ca edkghz~jn \ ndf` dv v`c{g hg z`n ahk~rn bnic{'Ainp~rdi rhkhjhzx ca z`n bnde hv NH'

    ;1' Z`n rndfzhcg dz F hv

    (dI41

    \d8(~|{drjv (b

    I41

    \d8(jc{g{drjv

    (fI0

    \d8(~|{drjv (j

    I0

    \d8(jc{g{drjv

    ;;' Z`n rczdzhcg dz B hv

    (d NH41

    \Id>(ficfo{hvn (b NH41

    \Id>(dgzhficfo{hvn

    (fNH41

    \Id>8(ficfo{hvn (j

    NH41

    \Id>8(dgzhficfo{hvn

    Vzdz nengz acr Ihgonj Dgv{nr T~nvz hcgv ;0 dgj ;8=

    Hg z`n jnvhkg ca bndev acr z`n ihehz vzdzn ca fcid|vn hg ainp~rn dv |nr HV = :>1%2:2 oG

    Vzdz nengz acr Ihgonj Dgv{nr T~nvz hcgv 0< dgj 04

    Z`n dqnrdkn naanfzhqn cqnrb~rjng |rnvv~rn cg 4< e z`hfo `ceckngnc~v vdz~rdznj fidx idxnr hv 4>< o\d'Fcgvcihjdzhcg znvz cg ~gjhvz~rbnj vchi vde|in zdong arce z`n fidx idxnr v`c{nj z`dz z`n qchj rdzhc jnfrndvnjarce bx hgfrndvhgk z`n vzrnvv hgzngvhzx arce 4

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 21 ek#I?_Fd2/U

    5 :< ek#I?Ek2/U

    5 6 ek#I? [dznr \` hv ;

    Dzcehf {nhk`zv = Fd=:

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    KDZN t~nvzhcg |d|nr Fhqhi Ngkhgnnrhgk (FN 2

    {{{'t~nvzhcg|d|nrv'gnz'hg

    KDZN FHQHI NGKHGNNRHGK 2 (b 61 (f 6; (d 60 (b 68 (j :< (j

    :4 (b :2 (j :6 (d :: (d :> (d :1 (j :; (f :0 (f :8 (b >< (b

    >4 (b >2 (f >6 (b >: (j >> (j >1 (f >; (j >0 (b >8 (f 1< (b

    14 (b 12 (b 16 (j 1: (f 1> (b 11 (f 1; (f 10 (d 18 (d ;< (j

    ;4 (d ;2 (b ;6 - ;: (d ;> (j ;1 (f ;; (d ;0 (b ;8 (b 0< (b

    04 (j 02 (b 06 (j 0: (f 0> (f