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  • 7/26/2019 Design Exam (1)shfhsdhsdh

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    PREBOARDDESIGN AND CONSTRUCTIONTOLENTINO AND ASSOCIATES

    (Note There are few questions whose answers are not in the choices !ustAnswer E "

    S -1Given the fgure shown.

    1. Reaction at A isa #$$N % ##& N c #&' N #') N* The Reaction at B isa +) N % ,$$ N c ,,$ N ,,# N- The tan.entia/ e0iation of B with res1ect to a tan.ent rawn at Aa ,2'*3EI % ,)2'3EI c *$,,3EI *-,,3EI# The s/o1e at B isa +)&+3EI % +'--3EI c +&*-3EI +*&&3EI

    S 4 *

    The %ea5 shown wei.hs -$ N35

    & The 0ertica/ reaction at A

    a #** N % -** N c *$, N *#2 N2 The tension at Ba -$+ N % -&* N c ##* N &++ N' The 6ori7onta/ Reaction at Aa #$)** N% -)$## Nc -'*#, N -#&,, N+ The Resu/tant reaction at Aa #*'#, N % #''#' Nc #+)** N &$*#, N) The an./e that Reaction at A 5a8es with the hori7onta/a -,$,$ % -#**$ c -'#,$ -''$

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    S 4 -

    Gi0en the %ea5 shown The ,$$ 8N /oa acts on the centroi of the crosssection

    ,$ The 9e:u/ar stress at Aa 2#)& ;1a % 22-, ;1a c 2+** ;1a '$$- ;1a,, The a:ia/ stress at Aa - ;1a % & ;1a c ' ;1a ) ;1a,* The tota/ nor5a/ stress at Aa &&*- ;1a % &'*, ;1a c 2))& ;1a '-&& ;1a,- The shearin. stress at Aa )'#-;1a % ,,#,* ;1a c ,*#&& ;1a ,-,,, ;1a,# The 1rinci1a/ stress at Aa 2'#, ;1a % ',-- ;1a c '2** ;1a ')*+ ;1a,& The an./e that the 1rinci1a/ stress 5a8es with the hori7onta/a &2' e. % ''+ e. c +), e. )+) e.

    S 4 #The - hin.e arc shown is su%

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    a '-,*8N % 2*-# 8N c &*-, 8N #-#+ 8N,' The hori7onta/ reaction at C isa - 8N % # 8N c & 8N 28N,+ The reaction at Ba ,2,* 8N % ,+-- 8N c *### 8N *',, 8N

    S 4 &A truc8 an a trai/er co5%ination crossin. a ,* 5 s1an has a:/e /oas as.i0en

    ,) The istance of the resu/tant /oa fro5 the ,$ =n /oa isa * 5 % - 5 c # 5 & 5*$ The 5a:i5u5 shear e0e/o1e in the %ea5a -$ 8N % -- 8N c -) 8N #& 8N*, The 5a:i5u5 5o5ent in the %ea5 isa '+** 8N5 % +*-2 8N5 c )2,* 8N5 ,$#,' 8N5

    S 4 2The ,$ 5eter /aer wei.hin. -& 8. is restin. on a hori7onta/ 9oor at Aan on the wa// at B 5a8in. an an./e of 2$ e. fro5 the hori7onta/ Thecoe>cient of friction %etween the /aer an the wa// ( an the .rounan the /aer " is $*& A 5an of 5ass '* 8. c/i5%s the /aer

    ** Deter5ine the Nor5a/ reaction at the wa//a *&,'2 8G % *'##, 8G c *)#,' 8G -*,,# 8G*- Deter5ine the resu/tant reaction at the wa//a *--#, N % *&+ N c *22*) N *+',, N*# Deter5ine the nor5a/ reaction at the .rouna +)*2' 8G % ,$$'$2 8G c ,,&*#, 8G ,-***, 8G*& Deter5ine the resu/tant reaction at the .rouna ,$,+-- N % ,*--'& N c ,-#*#, N ,22,** N*2 Deter5ine the istance : fro5 the fro5 the %otto5 of the /aer towhich the 5an ca/ c/i5% without causin. the /aer to s/i1 at its /ower enAa #& 5 % &* 5 c &+ 5 2 5

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    S 4 'A si51/? su11orte %ea5 ,$ 5 /on. has an o0erhan. of * 5 at the /eftsu11ort If a hi.hwa? unifor5 /oa of )-& 8N35 an a concentrate /oaof ,,2 8N 1asses trou.h the %ea5@ co51ute the fo//owin. %ase on thein9uence /ine on the 5a:i5u5 shear at 5is1an

    *' The orinate of the IL for 5a: shear at 5is1an # 5 fro5 Aa 4$* % 4,' c *# -,*+ The /en.th of the %ea5 where unifor5 /oa can 1rouce 5a:i5u51ositi0e shear in the %ea5 at the 5is1ana # % ' c + ,,*) The 5a:i5u5 1ositi0e shear at the 5is1ana ',&2 8N % 2,** 8N c &+*, 8N #*++ 8N

    -$ The orinate of the in9uence /ine for the 5a:i5u5 %enin. 5o5entat the 5is1an # 5 fro5 Aa 2 % # c - ,-, The 0a/ue of the 5a:i5u5 1ositi0e %enin. 5o5ent at the 5is1ana -+)*,* 8N 5 % #$2+'& 8N 5 c #,*##, 8N 5 #**#,* 8N 5

    S 4 +A ) 5eter hi.h retainin. wa// is /atera//? su11orte at the to1 an :e atthe %ase The wa// resists acti0e earth 1ressure increasin. fro5 $ at theto1 to &* 8N35 at the %ase 1er 5eter /en.th a/on. the /on.ituina/ a:is

    -* The esi.n 5o5ent at the %ase is

    a #&&& 8N5 % #*-, 8N5 c -$,* 8N5 *+$+ 8N5-- The /atera/ su11ort fro5 the to1a #2+8N % #)* 8N c &,) 8N &+, 8N-# If the /atera/ su11ort at the to1 is re5o0e@ the esi.n 5o5ent isa 2** 8N5 % 2++ 8N5 c '$* 8N5 ',$ 8N5

    The entrance of a warehouse has a roof that su11orts a roof /oa of +8N35 The su11orts B an C are consiere si51/? su11orte

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    -& The 0ertica/ reaction at the co/u5n is

    a -'& 8N % -))+ 8N c #,*2 8N ##,, 8N-2 The 0ertica/ reaction at C isa ,)# 8N % **& 8N c *&, 8N -$, 8N-' ;a:i5u5 ne.ati0e 5o5ent at ACa ' 8N5 % ) 8N5 c ,, 8N 5 ,- 8N5-+ ;a:i5u5 1ositi0e 5o5ent at ACa *&&+ 8N5 % -,2# 8N5 c --$, 8N 5 -2** 8N5-) Location of the 1oint of in9ection at AC fro5 Aa ,$)* 5 %,&2' 5 c ,+'* 5 ,)+' 5

    S 4 )

    A water tan8 - 5eter in ia5eter an 2 5eter hi.h is 5ae of stee/ha0in. a thic8eness of ,* 55#$ hen the tan8 is //e with water@ eter5ine the circu5ferentia/stressa '-2 ;1a % )+* ;1a c ,,*- ;1a ,*22 ;1a#, Deter5ine the /on.ituina/ stress when it is //e with watera *#, ;1a % -2+ ;1a c #'2 ;1a &1a

    S4 ,$A ho//ow circu/ar 1o/e 2 55 thic8 with a -$$ 55 ousie ia5eter an a

    hei.ht of - 5eter wei.hs ,&$ N35 The 1o/e is su%

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    #* The 5a:i5u5 co51ressi0e stress at the %ase ue to the 0ertica/ /oa1/us the wei.ht of the 1o/ea #** ;1a % -22 ;1a c *$) ;1a ,-' ;1a#- The 5a:i5u5 tensi/e stress at the %ase ue to /atera/ an 0ertica/

    /oas an the wei.ht of the 1o/ea *#,;1a % -&, ;1a c #+) ;1a &'' ;1a## BONUS44444If the ho//ow 1o/e is re1/ace %? a so/i woo 1o/e of *&$55 ia5eter@ eter5ine the 5a:i5u5 shear stress in the 1o/ea-$), ;1a % ,'+, ;1a c $$,* ;1a $$$$

    S 4,,A %ar.e shown ia.ra5atica//? su11orts a /oa of , an * for e0er?one 5eter stri1 a/on. the /on.ituina/ section

    ##Bonus444 in tota/ /e.th L so that the u1war 1ressure is unifor5 anthat the %ar.e re5ains hori7onta/a L + 5 % L - 5 c L ,& 5 L ,' 5

    #& The shear at - 5eter fro5 the /eft en when u1war 1ressure q '*8N35a ,$- 8N % ,2' 8N c *,) 8N *#, 8N#2 Distance fro5 the /eft en where Shear $ when q +' 8N35a - 5 % # 5 c & 5 25

    S 4,*

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    The tensi/e 5e5%er shown is &$ 55 %? '& 55 an su%

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    A si51/? renforce concrete %ea5 reinforce for tension has a with of-$$ 55 an a tota/ e1th of 2$$ 55 It is su%

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    #*$ 55

    &) The actua/ unifor5 /oa carrie %? the %ea5 ( inc/ue its wei.ht "a *&+-#8N35 % *2+'+ 8N35 c *'#&, 8N35 *+**,8N352$ The 5a:i5u5 5o5ent carrie %? the %ea5

    a -,*,, 8N 5 % *+)&2 8N 5 c *22'' 8N 5 *,& *+ 8N 52, The 5a:i5u5 %enin. stressa *##,, ;1a % *,-#, ;1a c ,)),* ;1a ,#&+# ;1a2* The 5a:i5u5 we% shear stress f0 K3( tw"a *')2 ;1a % -,** ;1a c -#,, ;1a -'** ;1a2-The 5a:i5u5 hori7onta/ shear stressa -$** ;1a % --$) ;1a c -&-* ;1a -+** ;1a

    S 4,'Gi0en the .ure shown

    2# The tensi/e stress in the %o? of the %o/ta 2*,, ;1a % 2'** ;1a c '$2# ;1a ''#, ;1a

    2& The Tensi/e stress at the root of the threasa),**;1a % )#,, ;1a c ))#' ;1a,$2** ;1a

    22 in the co51ressi0e stress at the hea as the %o/t %ears on thesurface to resist the tensi/e /oaa -2*, ;1a % #$-- ;1a c #-&, ;1a #'*- ;1a

    S 4,+

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    The 1in cient C ,*

    2' The resu/tant win /oa isa ,-+*# 8N % ,&*,# 8N c ,'**2 8N c*$,,* 8N2+ The a:ia/ force at AB isa ,*#, 8N % ,#*, 8N c ,2$* 8N ,+*, 8N2) The a:ia/ force at BC isa *+,* 8N % -,)+ 8N c -#*, 8N -''' 8N'$ The 0ertica/ reaction at A isa '*, 8N % +$, 8N c )+, 8N ,,-, 8N', The hori7onta/ reaction at C isa *'' 8N % --, 8N c -'* 8N -), 8N'* If the strut AB is re1/ace %? ,2 55 ia5eter ca%/e@ eter5ine the

    nor5a/ stress in the ca%/ea 22,* ;1a % 2)-# ;1a c '*,, ;1a ')2+ ;1a

    S4,)The .ure shows a se5icircu/ar arc with the .i0en /oa

    '- The shear at D isa $$- 8N % $+# 8N c ,## 8N *#* 8N'# The 5o5ent at D is

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    a #'' 8N 5 % -,* 8N 5 c *,# 8N 5 ,,* 8N 5'& The a:ia/ force at D isa ,,* 8N % *## 8N c #,* 8N #)+ 8N

    S4*$

    hen the co/u5ns at E an 6 of the 9oor fra5in. 1/an are e/ete@ .irerBE6= %eco5es a one s1an :e ene %ea5 su11ortin. DE an %ea5G6I at 6 The fo//owin. /oas on .irer BE6= are as fo//owsConcentrate /oa at E *22 8NConcentrate /oa at 6 *22 =nUnifor5 /oa throu.hout its /en.th &=n356intJ Consier B= as %ea5 :e at B an = with the .i0en /oas

    '2 Co51ute the reacti0e 5o5ent at Ba #222' 8N 5 % #+),* 8N 5 c &**,, 8N 5 &-#*) 8N 5

    '' Co51ute the reacti0e 5o5ent at =a -'+#+ 8N 5 % #222' 8N 5 c &**,, 8N 5 &-,++ 8N 5'+ The 5a:i5u5 shear in the %ea5a *$,#)8N % *+#'& 8N c -$#++ 8N -+',, 8N') The 5a:i5u5 1ositi0e %enin. 5o5ent in the %ea5a 2$# 8N 5 % 2'*++ 8N 5 c '$$,2 8N 5 '#,#, 8N 5

    S 4*,

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    P, ,+ 8N P* $) 8N P- $#& 8N -$$ #&$

    +$ The 5a.nitue of the resu/tant of the - forcesa *#&& 8N % -#,* 8N c #'), 8N &$,* 8N+, The an./e that the resu/tant 5a8es with the hori7onta/

    a &2,*$

    % &)2&$

    c 2',,$

    ',#,$

    +* The 0ertica/ reaction at Ba ,$2 8N % *#, 8N c -$, 8N -'+ 8N+- The hori7onta/ co51onent of the reaction at Ba & % - c , $

    S4**The sus1ene .irer shown is su11orte %? a series of han.ers unifor5/?s1ace a/on. the 1ara%o/ic ca%/e

    +# The 5ini5u5 tension isa ,2$ 8N % ,'$ 8N c ,+$ 8N ,)$ 8N+& The 5a:i5u5 tension isa ,$,#,* 8N % ,-#*,, 8N c ,'+++& 8N

    ,+)#,* 8N+2 The safe unifor5 /oa that the ca%/e can su11ort if 5a:i5u5 tensionis *&$8Na ,-)'28N35 % ,2**, 8N35 c ,+#,* 8N35 ,)22,8N35+' The /en.th of the ca%/e isa ,,*-* 5 % ,-##, 5 c ,22## 5 ,+#,* 5

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    S4*-A concrete 5i:ture has a ratio of ,J*J# %? 5ass The water require5entsis *# /iters 1er %a. of ce5entei.ht of Ce5ent #$ 8.3%a.

    ;ateria/s SGce5ent ---san *&.ra0e/ *2'

    ++ The 0o/u5e of ce5ent 1er %a.a $$,* 5- % ,##, 5- c *#&& 5- -$,, 5-

    +) The 0o/u5e of san for , %a. of ce5enta -#&, 5- % *#,, 5- c ,##* 5- $$-* 5-

    )$ The 0o/u5e of .ra0e/ for , %a. of ce5ent isa *## 5- % *$# 5- c ,## 5- $$2 5-

    ), The tota/ 0o/u5e of concrete is

    a $,*+ 5- % ,--, 5- c *#,* 5- ---, 5-

    S 4*#A & 8. %/oc8 is at rest at ti5e t $ an is acte u1on %? a hori7onta/ forceP that 0aries with ti5e as shown

    )* The initia/ acce/eration of the %/oc8 isa +-' 53s* % -#, 53s* c ### 53s* #+)53s*

    )- The 0e/ocit? of the %/oc8 after & seconsa **##, 53s % -#),' 53s c -2#*+ 53s

    #,**, 53s)# The istance tra0e//e after & sec isa )'#-+ 5 % ,$-##* 5 c ,$&-*, 5 ,,$**+ 5

    S4*&The rectan.u/ar reinforce concrete %ea5 with a with of *$$ 55 an aneecti0e e1th of &$$ 55 is su%

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    )& The istance fro5 the neutra/ a:is fro5 the to1 of the %ea5a #2,#&* 55 % -#*,*- 55 c-$,#,, 55 *,*&$' 55)2 The 5a:i5u5 stress in concrete isa ,-&,+ ;1a %,&**, ;1a c *,#,* ;1a **++, ;1a

    )'The 5a:i5u5 stress in stee/ isa ,$#**, ;1a % ,#*#$2 ;1a c ,''*-, ;1a ,)$*#,;1a

    S 4*2or the .i0en set of s?ste5 shownJ

    )+ The 5a.nitue of the resu/tant of the force s?ste5 showna '',# N % +,*, N c +#** N +'&& N)) The an./e that the resu/tant 5a8es with the : a:is isa ##**$ % #+#*$ c &***$ ''$

    ,$$ The 5o5ent of a// forces with res1ect to $

    a*$#,' N5 % *-,,, N5 c -2)2) N5 #,*#, N5BONUS4444 The : interce1t of the resu/tant force isa #**, 5 % &$)* 5 c 2$2- 5 '&&, 5BONUS44The ? interce1t of the resu/tant force isa 4'+*- 5 % '+*) 5 c 22,* 5 42#*, 5

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    S 4*2A %ea5 ,$$ 55 %? *$$ 55 has a si51/e s1an of & 5 It carries a unifor5/oa of& 8N35)* The shear force , 5 fro5 the /eft su11ort isa % '& 8N)- The shear stress at -$ 55 fro5 the to1 of the %ea5 at a section ,5eter fro5 the /eft su11ort

    a % $*+' ;1a)# The shear force carrie %? the section fro5 the to1 to -$ 55 %e/owthe to1 at a section where shear is 5a:i5u5a % c $'&)- 8N

    S 4*'The force actin. 1er 5eter /en.th of the a5 are shown

    '+ The %earin. 1ressure at A is

    a ,2-*',2=1a') The %earin. 1ressure at B isa % ,$+$*& 8Pa+$ The istance fro5 B where the resu/tant a11/ie forces intersect%ase ABa *++- 5+, actor of safet? a.ainst s/iin. if the coe>cient of friction at the %aseof the a5 is $*&

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    a % ,-+2

    S 4*+To 1re0ent e:cessi0e e9ection of a - 5 /on. canti/e0er %ea5 su%

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    ++ The 5a:i5u5 0a/ue of co51ressi0e force at BG ue to the .i0ena11/ie /oasa % *##& 8N

    S 4-$The %ea5 shown in the .ure carries a trian.u/ar /oa as shown

    +) The reaction at A isa ,'---8N)$ The reaction at B isa % -+22' 8N), The /ocation of the 7ero shear fro5 A isa ,2')& 5)* The 5a:i5u5 1ositi0e %enin. 5o5ent isa % ,-'22 8N 5)- The /ocation of the 1oint of in9ection fro5 1oint A isa -2,& 5)# The 5a:i5u5 ne.ati0e 5o5ent isa % #$ 8N 5

    S 4-,A rectan.u/ar footin. *& 5eter wie a/on. the ? a:is@ - 5 /on. a/on. the: a:is su11orts a circu/ar 1eesta/ $#& 5 in ia5eter The hori7onta/ forceactin. at the to1 of the 1eesta/ a/on. the : a:is of the footin. is ,## 8NThe tota/ a:ia/ /oa fro5 the 1eesta/ is ,*$$ 8N Thic8ness of the footin.is $' 5@ hei.ht of %ac8// on to1 of the footin. is ,& 5@ e1th fro5 theto1 1eesta/ to the %ase of the footin. is *& 5 Concrete unit wei.ht *#8N35- Unit wei.ht of soi/ ,' =n35-

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    )& The 5a:i5u5 soi/ 1ressure isa *&2 8Pa % *'2 8Pa c *)+ 8Pa -*, 8Pa)2 The 5ini5u5 soi/ 1ressure isa 2, 8Pa % 2# 8Pa c 2' 8Pa ', 8Pa)' The require soi/ %earin. ca1acit? isa *$,, 8Pa %*##, 8Pa c *)+- 8Pa -$+# 8Pa

    S4 -*ro5 the .i0en fra5e shown usin. CANTILEKER 5etho

    )+ The /ocation of the centroi fro5 the /eft5ost co/u5n isa 222' 5 % '#,, 5 c +'2, 5 )*-, 5)) The a:ia/ /oa at AD isa ,$## 8N % *&-# 8N c -,#* 8N #*-, 8N,$$ The 5o5ent at D isa ##, 8N % &** 8N 5 c 2*, 8N 5 '$2 8N5

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