ll*;' lr *l \ -{ t,"r" '' c

q

I ^l | ,,I (9 ] ','t T- "*':lo \ cl,D 'u- lD /.-r @ , ,o.6

rIrti\7 . ,,,'

^ (, f(rlR-"1| @ f r !'o .l' ,,'+ q

I t', ,.."

i q* d ::::::::: i' j"*ra r:r:- .9L ,?,,t." ' f' ,r' -l*-2 r','-l t-*'

a.], j9ll

-rPr-ob. 6.2 Prob. 6.4 prob. 6.fl

ll + taJ !1e.11g, :*

A- Method of ioints:Problem 6.2 &6.4 & 6.8Using the method of .joints. cleter-nine the force in each menrber of the truss shownState whether each member is in tension or compr-ession.

A:

An+CJ:o Ax=-c,A1 - 5,6 : o At= S.( rcijs

C:* tq -f .S{ b,6 =c).Ql =J,r.ifs -: Ax=-jnips

?gb e ,1

? ?Fx =o

=FJ =t''

tl-10- o

-i o,-{ -rJor,t t3

-= b,6rri?.

€F3=o

SlCoSo t SZ colo =o

H\ *o,cSz =-() _>qo

-5.( - SzSrtna + Sr Sin S :L,.

frar= 6.6+g.Gs2. u(b

/5, = 3.q l4"ip s (-.. rion)

(Utt " /=r=-5

tti? s Ccr* pr?sgsie 1

(s'

f.5

A+ Torn! C

?-b G,tl

--- L(3 =o33 LSz(inrl-=a

Fe = -SzSfncr = - */'

(uc

oo0 2 Fx:o By + l,X :o R{= _l,g *Mt {:j -r} Be + c1 = ?,A (N?l-lG=o (g*\,S,*,?,( itj,C t \,.AtL=o

-5r q

3= 4 niPs. Te"$rcrn

Al doin+ o

q+ Tcr,rn+ c

St

s{ *-t3 r,

L.LrwN

C^J= 2.36 r,rr..u

-: lFx =o

a(-j =o A2 \v ot = 2-,lo

\z 2 =2.\?-5

-'l - ---St = 3.4? -T eu \rin'C XOr - ':==::::':-\ ' ,.2\t = - j. \t x 2t ::Z,Sz urw.(

1 \P' T5V - - Comtvc \l r.,^

., !b"/

,Sq =. S\ : 7,5L .t( N c.owe..w$,fr,or^

la = -% ; - l.!6 ,nnr Cow,?ws!r-,v,/

i

1vu

A{ Jo,r,rt A

t.8wN €r.u oi'f\s,

S3

-t 2Fx= o

i rol.l\g$n C ,,5

1,5

?,(ft.1r Zt -t,X = a * o, 6-1e

(6 : \.a h rJ Tgn!1oyl

(ug

Ex -l-t-\=" -f*=c(r(i1sEr + Fy =()

--, -A* 6.15+ _qX t3.S t 6s*3=uF3= 9 tu?r

* Ei=-3Ki?s.

o

?llrl'o /

i Sz\rrn b - Sa Sin

-: f.Ft=o E1 = S 2

tf9;"o €y=-S1

KI

o'C

:1.8

08 ZFN. =o

tfj :u-i lte =o

dovn* E

Sr

tf"*-b---+, 5 zEx -fgn srov\

Tgn h1'*

at d",tn+ fjt.s=

.-='J t t'52

tt.LS ,/1

-.€a--l t'=t

ef+

. <(-- ar-X sO

Sq Cots { 52 =<-:

Sv1 -- - .&* l\.tt3 = -\o Kif \

CawrPYtr' 55*;

trg+ S:+ S\tr-* =c)s3= -3 (-ro1 C,arl

- tfg=e

o+ lonn[ c(s

,lr- | ?tttr' ofr*> Ss

J\s,n5r

t7y. u

2(3 =u

S5+Sncoi* +q :o55 -- -t,+ tr:*9, =

S( = SnSus + Sr

S6

\ vtipt -TeinS;6y,

3 = 3 w\ps-1-(n Siun

A+ -&inl G

S\",Cr-

Sg

7*tN o €(t<vx^_\ t*rA AU

*- 2 R =_e-'

L€,7 = c,

s4 =t'Sg = c-r

L+ lotnl

Sg EF 1=t Sr,

\].Lf = - 5 Wif t Covntr.tiSr.r.5

{x

D

\t**?uS:

:g co ss

St=

Problem 6.10Determine the force in each member of the Howe roof truss shown. State whethereach member is in tension or comoression.

.-- /le)(9D I

i

r 4H'rt-

- H{.

!orn{ S, yro (XtvyoJ ?ov&

et^J b1 Z_svo rvr.e,$^btv

lunl Go.tso rk*ber

o C* ' t^rg hoAJ s jwL**d\"krr

v\^tl ,vrs./v, b( " tf3 i s Z€.o.r /yu,,tr^ b( r

GF i! T*-*-* rr(t. .: F.B: [c.t

T*? in

rf\

o{){., 1,fu=o

?rv -:o

=HA. o

H1=o.

ArtHj =

fl9 + i2

R1 : tt

(r ?+

6+

KM

3ta = ?t{

t4 -64.A,j=

rt r.J

16 - ({

1? hN,

*: o-[ Toi,,r4 A

&',4t"Y8,t3

(-:*j2-cr

-:. sr

r-'-Sr

- Se corcu

\t W^l T€rnSrbr"

SzzSr ', t6x=<, St+ SzC-oEe.=L'

?f9=c, SZSrnu:3-AA

fna r Sz = F \S tv 'fonn3ns\ran

Fa.

ft+ troinf c_

sr *-=3

Al- fofn4 H

s<

\T3a-el5

sru ? !1,

A+ Tor n-l G

S e a--e-------+ Sy,

At -6or nt F

3 0-' vtN CoWWY S J ir,"'-'Sg= Sq

/

:- Sq,/'

(tt'

Sin

s5

(.s

€F*=o Sro + Sr

a Fp 3 SoIrne*

(oo y'tt r

,u*j'" =

CO6O=Q

1 - 3 -\-\=

-\S Kt/'

- Ss ccfd =

C,oVn,Qr''Htf r^". "

t?- t,r-M T(n Ston

* s't

"hSe "/"f*\II

C

- \ o, t11ut

_ 5KN1-\( :(*

= Sto = tlnt/

a[x=o Sg Sunu Sq o( - SnCoJd =\; -

.1 ro,ASe + 5"{ oA -154 of

€rr =o S5 CoSor + SqCosu *G - S,4 S&re=c

'.S6*o.C - S,,\{o.C = lS*o.(-<

C,o*tvt; Sf ls"-

C,crrT\(SSl"D.

(st

A+ Toiaf 6

=!o " tt .n\- | -,-

s*-*Je----->LF1 =(l

7-€3=o

Tlre\2

5s

Sb

n| 7-oint _o

5cnu

Sz 191=o -

.- sn s.y(

iS'S.{{/

Fqo (Ya(

-- Sg - St + E, coio - Slrdsss = o

Sr C,of.r = tL :-- lL - a+o'?

- -...-Sr, -- -5 K nJ covnevtssfo,^.

kqL

'- S1 + S\r <in g + Se sf n\d =t''-

51 = - Srr lt Sr*o, - 5t {'.^"*

51 = - 5Xo.(r gsvru'6

)r= CnN. TcnSion-y'Lo€

s3 Si/o(

= - \o VtV CoYv\Q re SSWVr

B- Determination of zero members:Problem 6.29For the given loading, determine the zero-force members in the truss shown

{)B5n5

. 2-fr:l q o

. il :..i',

t'; ,1'oo{IT T,o/.. t a*t?fttfia

-\, I ' Z \2-oo ?oT e()L' 7I ..:,-,.r -

t\ rtl ..:..;...:.,:.::.:....

o% fr* 'J-ur,ats g.:ifrn nq t(tq"i*{ ?"f, qr^d

OhAru$ro1 Z vwanr4{.lev \ not un Sorr"Sg

(,-. '\-/ vtAilrrs 3 t)

tv^; ;'*"sr i t ?*.-* rvw,tdn b(;

-Z!,ro tn4arvr[oqvf on'e, k O BCbtoG-' Nrt

*D r-(Lo rdQ TL.

I

[*^. ? yn&v.rbqirf ANv 4nnh*b(,tryrVx

Dvta I ovr-< |,,t W r-tru pt* q_2tn t0.rr,4{ fu'-

Problem 6.34For the given loading, determine the zero-force members in the truss shown.

t: i E" n \/r'iLr-A.t c ,-. c ,:,,t1ro i.)

\o ; 1', o 3 0 o u Eli:., (r F, o .l l. \ t,,..

I lr

. t-r-r lt#r,rl in3 Sun""r yi."l"c,: in ?rg viu,,k") ?ruhka"" .

-T.a^co rv\Qr{rWr( Dnrg O RC

@13€

Q>€o

0) u"(, qe

tq r-rfuf\+ \

&" HT

C- Method of Section:Problem 6.42A Warren bridge truss is loaded as shown. Determine the force in members CE, DE,and DF.

cg.-.1

€I

3W

4.t d 4,5 f 3* 2'S

C€= ul nrv

+ C€+ 6 =0'

T(nSiorn itq ,wr.brr

ae(*tu^\tnq i(nnr

CE

(9 ? Ho=o

|trt =u. -A1{26 +941'0 + 1'*tS =o'

A? * t\.L ruN

- tca halrty,g \tpt sechni" tu \\w0y

OF

q,W- /.9f AE

1 6,"'

A t----._"1sv1

\r.t* to + j{5

- t{,f ruM

=O

Cnvwjy.gsfroh h wrc,vta$e" OF

@ q \ts=o J - DF

oe x Itj L,s

D e = 1,3 ttM T('n (r,rv. *: w\tn4o( t At i s inTq,,,\Sib*

Problem 6.48A pitched flat roof truss is loaded as shownand DF.

Ax "-- Atl

Determine the folce in rnembers CE. DE.

t -' (t$rin \iwr

"-li,-r it

i( nYf

-: Ar*.

o 8s -Ag*zq+?*?q +4+U*tr*tLtf 4+4=q'

Ag. % Kils'

bg trut*fu er$ sectr,ovt \.,Icb.,v\r- t^r ts[L s€g5rr5

l{(ril

ob;Zt\Ifi(\

J,s1,5?+t

io,. - -t{1

,---,-€lPr

+?{1'+Ce { 3=o1

cE'-- l'( ru3s r(^!ror^-,

tE Vn Atn $fi:yr

I

tg Str,'"inri{-,-

-i,:l

T,Ac' tniTl

b-' ? t{o

I

-i f'51,5

h=

--

'l-q,

&t"h

1P+

_x_7'S

s Ltl

35-{=3P+

* br corrriJtnp qloot \\^rrr" g"ravigit borlgy

L(r=o

.LJftowurnf wl - l\T' =

T

v1t--- -.k?+ r

Wro,,rnr"b fu

qo" tl,

*-

=Q.

-6{ lL{ -tt{l\,1

+ D[ Srno {

-ue

*ct{? F

7 =o'

=DF L

= -{L.12

OF Colsr 3

1-l- '{r

?Y6:?-,..

(ipsDt

'1 ?(-'r+ _*:_Vtsg?oi

E-Ca*'?rtttio."

-'rta

.t

Yv\"L,vn b(r n F

1.5

if in com?ws-tic,n

qFg =u --

'-: 3-z -X -Y)L

1)t* 3 = zw

GS* * D€ \nrat =-u

11,12{ 7,(I]G'

De=,'L

- l,GX% e ri?r @n?"V St,u^ 0( istncavvTrlvrr.u

\

vnt*--Vt,

35