/
-t) ;EM" = O: V I (7 .. L . f f t)ú:6 t)ú:6 IX -t-(L5 01b XIVft) ú)) o : - (Suou U ,)(7 H)+ 2D (IZH)= O
S O C ú r.b
1 0 /- [ - ~
] ) = ' /"f':lB.3
I
- 7 fi;
4 l$ rtL"r = 7
L r ; =
(12S9)+2 2 (12S9)+2
=0
("c.hcc.1= ) C .D e pni"t of ihtcr.sccJion o
Ld
(t1.-
{S:5"1, {S:5"1,.).)-1/, 1/,77-1 77-11f. 1f.s-3 s-3
W
,'H, S,ound. f r - , ; n , B + u
)j
-
c r' s
:'0°_ (iOin (iOin.) .)Co~ Co~
~i~
.w) .w) 18in.
p=
; G J : ~ I ' Z
OJ)JJ~~!f
j\-)
V/'h~r,
30
0
l(~ 3
.~i~
45kN 45kN
I
(b) ~
rú
.'Replcu:...i n : s
'ZM
-;;.o
-+
+
_ (lf-5' 1 : N)( 2 rn)+ F.
2
(27.lfb)+
2
~
?:=
B
11
c ..p
.(.J)
2 0 0 . N
13h=0
37 3 y
-
=
'f 8 k,f'>
,,~ ,,~
e', /'
~
(I) (I)
fé)-(6k',p;)( lf ft-)=o lf
d 30
2.Um
+ ) 2 : N ..D -=0:
P ~ 'fZ kt"
Gl:lJ:: p ~ SI k0 ;, S ;v;11 Ix: ,C\f~ ;,S
k,.ps :5 f'5 LtZk"r> < $1 6 k,.ps
~I -/ 0.75".1
1.
=
r ; (2.25m )
- L2 0.5' I..N f' 0.7')-7;
(3 f::N 0.5 m ) -IQ
(z)
I:
J
fB
h-r~
+) Z!"IEl:= o:
(3 m )
= () (I)
(3 ktJX z . 7 5 ....,) - Te ( 2 . 25",) - o . (0.7S m) = c)
(2 ) ~ :::: ~ Cl,)d frtJrn (2), Q::: I I kN. 7;;::0)0'1' 7;;::0)0'1'-.1 - .1 from (1 1 Q ~ O.5h\
Q:=Jlki'l-3!ê
Q
hr'
E=61f.b*;I~ c :o
2:::: /0(;.6
T
D,5m
(J.{- 1 )
Ú 'b le
nO!-!D ~e " i/i/ a Li Li ( )
cabl"" a.f a.f j) noi- f o be (D f' cabl
s/t1.c~
F o, ne.i1he ne.i1herr ca.ble ca.ble fo Ix - sltltk;
B; -;20 -2-1.0- b'+. b B ). ' - = = + /06. (f . I'! /06 . 6 (f.
,~
I A r
3 kH
(a.)+~LMB=D: (20 }çN)(2.b",)+ (2 k!1){ O.bm) -(20kf/)( O.lfrn)- f(O.7rn)
l
5;a.""pl,,; ?rcb. ?rcb. 11.2., 11.2., I
6,
-A(CfU) f P({,ft)-(6 k k..p p s X 2
4-.6
f~f3 c
O ,
.
52:' M e, :=0:
K=6.0ljf:t/1~
8oCY'r]
]):: ])::..
E . (I) (I)
P;'1 e;vd,o.,~ ohfc.-iM,.J
P - = 1.5' fi T 6 k'f-n S/me 1 3 J \~ 3 O k.;~. Ôj,(I) l/di.:, P :::. J(3 J( 3 0 )-'r8 )-' r8 Si",,,; ó::: A ::-30 k'fJ, Er (2 ) jicldJ
(Lkt-iXo.Clrn) 2 K (1 . S r Y I ) :::0
NI!c.. NI!c.. '8D<Ój: '8D<Ój:
-}
"''' "''''v 'v~~ lI:: lI::,, ,."
{;{=62.D·
~,'f' p/
15
=0:
(t.otr)-2 0-2:l.f 5"= o (Chd~.s)
1'J'Í~o"
,,(,,(- c1.(I): (I)
clcrJ clcrJv, v,d, d,OI OI
ft ) -I - 8 :/ (q F t)· - ((; k'r~)(iI ir) -( G k'rr)(13 .ft) = O A - P (3 ft)
~
o:=78.3Ibt ~J1' (a.)+J Z"Mk:-=O:
(Z O f::.r< )('Z ,3Y ")
.,,!,,-]t) t t : Z 7 = :
Ih)- (h-ú Ib) Ib ) -(Som 16)", Q
w (,
3000
0+ b ~ P ~ /.5(30) + - 6) f/:::+27.!f{,) .jj =27.,u!t~ vJJ.,;c4 bea", R.A "S ~ ~-f valv-c.s f",. vJJ.,;c4 (b),t)' L Mft::: o :
K=-I- 6,OIf
10 .
c=H~6~ 960 Ib t .. '= 960
tip,
vJ:=
D= 00..>0'(
11:1 11:1 Solurio lurioVl
(20k, (20k,tJ tJ)( )(s' s'4m) 4m)+(2 +(2kt ktl) l)(3 (3.L .Ltm) tm) +(LfSkH)(o.5m)- 2 H (2.5m)::: O
~<,i~
r.
is 460";1'
trvck'
!"\a.K",''''3
Ib -15 -150 If:,= If:,=
~ q D
-
b o L r. 5 f u y Sc.e Saiu"';'" o f P roro bo
ft-.7
P = 2 3 .4 Ib j'
+2.3.~jb
B=+ B=+7.8. 7.8.33 I h. h.
~.; ~.;i,.i9 .. ~
5ft
D:::-ILf5'8.J-(Wi-/Olf.J7)i.osC<
o
'F:: 'F:: O .: 2B+2 2B+23. 3.lt lt
E r
_ ()lO Li Ib
2.:e])
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W d - P C 18in.) - : = o (Iso 11)( Z.Slfo iY J.) - P (IBill.)
j;j.}
"dl~
4.6
+~LMB':::D:
'"'*',,:\) c••
r
1%5""/6
d,·,frtnce
Hoori-1:onro..!
d.-=(22i")SiY) ::::- 2.3 2.3"+0 "+0 ln. ln.
f=
(o)
f6k,"'S W =600 Ib and c(", 1+5'" in (I):
D
(600 2C + - 2(Cf6().1f. Ih) - (600
O:
IO 'f.1 7 )W e x:
(I)
B1 1 '
C 1 C.
-(v/+-
4 -.9
Wc
s h •• 1 f lJh' 5js..(i) cmd
ktJr
~./.f k.N )
::: ::: Q:: Q:: í l k N
~
o.hro.,.Y).d ,.,) 'Rab. 4.r'3· (2) o.hro.,.Y).d
C1-
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os kiY
o'
< :J . ( ) ':: : 3.~ 3.~ k;J. Q :: 0.5 + - {),75 ( l f . ) 71,( 1 0 a .1 ,·" . 1'0 Ix. .54 fi: eabk "'VIr al,o nD/-6e slaef:. COY>1cin(tJ,j' '> 'r,'I'" C O > 1 d lfl' w J ~ c b r a r n d il1 P r e l,o lf.8: O . S k ; J : : Q ~ 3.5 k N ~
39
T
3 ~ 1 1 : 1 / ~ N •L Io.~':' I ().75~
Q.
T
-D
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1.71t1
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1
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Q= = k.NXZ.7 S-,.,,)+
(i <1'1)(1.:;"")-75
(2.2:)M)-Q((). 7 5'5'" ,),) =
,'1-1,:: foa.d"~'S
-fufj-ddíc.<-.obln
'; " " " " " 0 "
r Y 'v r r ' 1 01 01 - ·xcuJ
/1 ,d 'í " " :r
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f'lo f'lok" k"/t/tlS' lS'
( '- I ) /kN
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~ /3
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13
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ha.ve
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kiJ
k/ v 0::0::- TJ) ~ 4- k/v
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Er
0.2 0.2.5 klJ ~ Q
s
3.25'"
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5,'l1éC/ !Y1t'4imvM fY\v,
núl:-bd!oc.I\"..:..d,
q.(J q.(J...) ...),, ~
;"
Cu-mb .."',·",s (3)ar0.(lf):
VI(
M vtr
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Q
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fM -
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v",", ,",
(1+)
leH.
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h" v '< '
r~';oJ/fJ
ob~;,
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I we
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\ ~
'0.75,.,
+ ') '2 M ", =0 : (3 kN X O ,'Jn,)-(J -1-) Lf'IJ)'" o: (;
tE
r
C-<)vIc../C)(/'t'
6<
rClik'd
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200
ti
1 n c. IO!J..;'''rl~ 0 1 - r,,~ p l.< ..1-e ií <:')VI'I/"-}-(Y'f Cv < . I r k of TY\0",<,-, r (800w)( : 3 , . " - ' 05" .m ) :: 20 o rJ· ~ íO'" f,·I>1!. Cl {f1~..,..{ B / 1h-("r~ fur",/ r" vJr
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p,::::::D
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116.2. N
LF;..-=O:
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sh.ovJ..,
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N ' "'1
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D_
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DO
ê
'lo?>rL::f.30·;, D
C
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c B1 ·
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75 ,.,..,
4,20
ª ::: B O O N
.
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tJ.rn::o
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fh"
B(o.'{m)-200rV .m::()
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A
IV.H:
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8::-500 N ri ~ j E - = - SOCJ ri
o( ::-
-+ ~ 2 : H
a l i: . ( )
SCI'1C~.
r.J::2H;l =0;
t~
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a=o
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20~"
f'''-r't. /I~I
ótrl)),'f(
(a:)
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bc.
r-;'Ar- '\
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w -=
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t-J-
+f'2'r; = =
11..(7.1< ;; O'.
P =2SD N:
(1)-1')
(IS ..Q j)( Q.8 / mJs')
vV :::
P(d+37 5)
= ()
4 !t,25
(a ..)T h e
'SOIV/hJ'
S'e<
s~fvr •.v..,
t ó6()u/-
! : J
o~
ar..,{
f7X
:= =
O
(I)
(:~ §.==/8T2f)------·~0~
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of : s Fr1V1Ct" YlJo)/,((n
t1n,{
37~)
P(37S- r f \M):::O fr;r At::
1 \,J 7 5 'r n m )-
Y/-(c:=D:
. r . t - = -
P -11.f7.J'5tJ-=U
+
B =7.3b7(Z SO Al)
/1 ", 1 \/, ,: :; p ~ 2:;0 N
N
fI=-I'-f7.2Nt
8h-
B(5'7.'t5) - p(lfB.ZI B-=7.3b7P
=O
f: -:=73. b
,;
(tt)+J L.Mfl=O:
O~t\ ~S;i~
12)-Ot-lYLf(/'
.~'"
Probo /.r.2Y fuI" P.8 d"~It,~t:J- *riv"" 1-,'0>1 O F - ~ ,.;. (I) t 1 . n / ~ 1 ( ! l
C a f- /),<
force
'! 3 é
C ,i"'C r ,ctJ
G N l i.
f1,-< sl,,,,.f t~ tf..c S'fA rlf1
t1J75"mm),l'Ifo
+ '2 F :::: O
-"";>t.
:
TA-f) - 1o s : . 1
rj = O
T ;.D ::: 10:;' /1'1
+ 5 L Me:::: o:
Cr(2),W(
7S,,; 10;' i'/.m"1 P=200f'(
htlLl-r
-
•
P(J 7S-rnm)=O P=-2ooN~
Ôh ~';I"
<<:.
@ç
B=
11(
73
tJ '--<'-
e f';;
L r.Z 9 _
~LF;=o:
f, 10
r
110lb
751b ")2.0 lb
18ft
l ~t A
,4x+(7':n6)ÚJs.2.0·-~'2..01b)c.oslD·=O
2JJ"
It ;<- =1.t7.7/b +-11: :::0:
5
M ----1'"' A - I r
'-1-) Ll-\A '" o.'
A =47.7/b_~
-)I..
fJ.d-32D/b-(/20I~,"n/o·_(7'5/J)s"fl2ú) '= ' O ~J = - 3 ó(, lI, ( i ç J ~ 3 (,h 1 1 0
Mí\
+ - (1 2 0 U,)c.o, 10'( J8k)-(75'
M A =--85'7lb,!!:
1 6 )C .I .S
~
1 ~
=O
2 .o "(ts F c -)
= 8H /b.ft) 4 M -ft ~
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Mr,=- /6.1/4 J ; . - /772..7 IM ,tlI::; 1co /6.f-(- W c .. >
or
-qoo ~ MA Sus,;-iM,v,~ -100 ,; /6. '1 /y .
8 7 2, 7
'1 00
~
e/Cfr<:l..S. ..o ••.. obfA"".-J
r;, -
~ / 6 , cri L r
fu . J'1,4:
177 Z . 7 ~ 900 z . 677.. 7
1. ::
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J!f
'F
1.13_/Jl....
c
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4. 5 >r>
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W X 7 .z ")+ c 2 N JJ ln ,,.,) I + (20/< .,))(3. óm )+ (2DkJJ)(i/J~) I (20
_.( "'~ T)( > t. c;"")1- M E = - ( ) 7 . ''''
Dr'"
-< ,:> < p rc > ss ,c .w '
-IO{)k/l/,1"A
= L
f= o .'
4,
B 2
'l2)m"1
.='
+ 1.;0.2
J/
I
= = 3.GT 5: !f60
T-: /2.7.8f:JJ
M ..D : : : ; . o:
p(3o.s;nB) - Q
3PS;r1 o .
tz u v ,.
o
+ Q(ú,wsV
(2 a ws e) = ()
=
Q Cose
e -:: Q /3 P
v:::+ -'(G/3 r) CWJ
)/'m
fi.•..- JOON+(JOCJN)c.ns 3S= A A -
= 0
c:
3 , b T - 3b o::; lO O
+):2.
1'1=(:300 tlXIBO-/63.
::t\_-:/CtJkN./fj
o b f-c;.,,,..,,/ fel" ME:
72.2kl'!.:::
+)'ZM A ~ o: M + (300 ;;)( jf,3.1Z m m )- (300N )(180.rlln)
íI
1 - " l é - = - ( 3 .b « I) T- 36 o t...tJ .fY 1
IOOkN.!'>1 i1J~
I
75ff'1
-I) LME; =0:
t
I~rt1é ~'\!
'Yr(bt=
~
1 6m 1.<\....la..
=/(Jr,
< l 'l J J
i
~]I -I
0.) TriA0'!J1<.
W " It
f ::-( f
I\V e.
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+) LMc= W( {UJ'o fi:) Scth'''3
is 1'$osc~l
ABC
o:
-
C-os
P (-{'~"nD )
5iY\e-=2..S"Y\~Cl>;f:
vlJ:.ú:,s
E'P~ s;" Il~
Q - 1-
T
W-l P5in
e :=
·LJ
i- =
or ~ "'" I b 5: '; 0
ti ::-
"" -
f. P
-= ()
- = 02.. . :; ,
1f'.JJ
tJ= 21,0'
lO n
35
1 + -,
2
Z Sin-' (v/lz"p)
/4,5~
.2,
c.,,,0:
=0
\F-VJ - -
S 'h.lLz
:=,,0
(disc.o.rd)
(tJ-) Iric.n~k Af:!:.
I~ iso~(~h"
ó"'"C-
Wc
CD =(BC)~., e : : . ( c.>~ ~
L
+)
1-
2 : : Me""' o: W(fur,n:::D
P({c."se)-
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-
(.,J~ '
f
I :
=
c)
J 8) V ~ 2 ~ ~ - '[ - i ; ( ~ ± V ; > B ) J
co s
Q Z
(vi"!: v; ! -f -
:=..!.. ~
P
P'
C
[.0'
-l
2 - : = : - 32.5"3 z. 8 := G).l"
2-
f
&-=-6'5'.1"
;r=(AB)
I
+ ~ 2 : M e :=
&=-
8
- (lt8)
t-
T (t úJS q
o,'
(d"! .t:M cI) ~
i
.
&=-60
cr
/co· (tr;vl"al)
) - P ( ts;" ()).= - ()
-Pf. (2 s; n ! c . D s ! - ) - c = . c J
. 21d(Si'J~-t)[c,)$t 2
o
= ') !s in 2t. s in 30· T-= + 7 .. = 2./ft(5i n Jf- i) -
'r
cosJ?:::o
= 25 ""2.. 8
f)
= t
íA~
t s,"" B
0, 51307 - = /2G.J8~
(6..) T ...•.o.r.'Jk !!-13C 1.5 Iso ':,ce/-o. W c - hÁv~ A 8 - = Z( AP) 2.( 5 in CD = f' C
4-.36
c .•. c -
t = = - -
..t!.
o
~
2(fI..-P):;>in.f!-
-1"i'{=:()
)
5/'1
L
fi:::::: j kt.
Z
JJ,f-p
& o= -2 5in -'[±-fd /(R f-P )J
fi =
4/.8° &=83.6°
~
3
(I)
r- o.q
rc.o..(...J-loV'\,; .
0-.
c.o""Fi<.rcl~
"1(\.J',)
c..on~rrn.ivHd.
5 \,0.7",,,,/ 1 1 Jel-"r",in~rc..
Retlc~,'"""
b.
Eq..,i\i\"r"'·~ TY\O.;nrc..;"""J
C.
6.b 7 k,'(l, AI"" /Ok/fJ 12.02 k"pÁ56..3j §=-6.67k.'fí
A ; x . ' : : '
.8 = (2 .) 0...
Trus~ iMf('0P-"'1
b.
Read,'"""
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";:~I
o·-Fral1c!
•..•
re~cJ;l,,)V1S.
a.Tr\Jt~ Cú,,",,?ldel'j c."",..,rrQ.;
\ ,01 5 x/r' t . e - = f "'-
C.
A :: c.::
;p. . z .
j~
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("eAch'vr;; (2J 3 non-cú"ú.)rr'< •.•r,J\on"~/kl 0... Purc Co""'rl-dc.\~ (o"d,..";"",,,(
D . Reo.( f-,'o-ú sff i+ ;eo..l1 '[
c\e f-am:>'\1r .••
c. .
.•...
k?~Cl.l h\,M\
é'4l.JLI;br'·uM
~ ==
5 l(;r 5
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(5) 3 ()lY\-CO,,\lVf'l'1"vl+,
J
Il~ I rc o L l-'C iA
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f
CoJnple~l'1 (O'o'l\i'rn,'","'; W\
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b.
Re,,~h'o""\ olà.'''''''~,.l-ft •...••.. d'1o'1Clfr\,'.c:>
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No e1u;U,,/u""\
(L.~ = f O)
rc c c c l-,,, ,,,sC + ;,rw :;t oD ) ~J'\,Ir""~"d 0... 'PG h- ·lvvo.P"-"P"'"l b. Reacf,'o"'l rI'z;r. ,r •., { e r . , . . " " " ';O" t e . , c. N o .('Cjvl\;l.;,r/uw. (2 :'I'-1j) 7 o)
I
ll,/('o { '("'r W.•..•
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~",ilc"'"'''-'''''
('1) Li ~u,,-c..)I\lVrrcl'\r,
( : ? : : . M.D 'lo) M V \-psrd ld r~et,O>1.s
(L. P IA re i, co""'rJ< +'/1 wv.tl
Ilel
c.. ~v:lib r;l.J""
-.~=
B -=D
-
rA:"''',), = 5i<'"r t ,..••.
(C +.Di'.
l
tc..;"J<,t( . 2lf::),N t
i\..1fIilill\
::- o)
i
i
_ _ _ __ _ _ _ __ _ _ _ __ _ _ _ __ _ _
I
b. RE'~'~ "Q"'~s hd-;(c.)~ d~ f-r••.•..; :'~+e ' m a,' n rtà ,·V /..-d §,= 36'5 t{ --; ?=bI3 N~5'3f
(7)3
C<)Mple!-e.[j (.j",rro.i~p.{ b . R e c < c h ;"..,> . :;f4/-.irv1cr.(ff\;n:../-t .fl
P\?k
0...
r,o"'-porõ
(6) Z "'~ o.,ho •...s
r=th"un~
LfV,c..=O:
4~~.S 1'1)
rarhú\ ~ I.DV\dra;VW'c{
c. = 7 v,'I,'br-,\)
eL. Trl.iC"
c.. 0ru;)'f,r;v•..•.VII"
= ]68 J.i-
C=D==21.1':;N\
t
~::5k'rd; r:;::b.C7kif>- 1 . lt
D
j
ú:>"Ç,
(7) 3 "" •..-c.oo'll,-",,,,,,rjJ\o CL . IflJU Lo,.." F '1 e* "l\ Ull"\sITa;y;d b. Reolh'"", c1áaM;",af", c. E C I',Jii ,b Y "L JW O MAiV\t-a..'h".1
CE?
irdcrq"":"a.f-c
M";•.... ~,·.,..• ;c (
b. R " " c !'\) n S da.hc.J1 1 det",,,,;,,,,,fe.. c. . ~l.Jil,' bc:"'W\ """,;.,t",·", ••d uv,der ".:t;v< '\ loc.d,""'.s
Ir ú ,V1d 6. R U lcf •." ",,~ A e i-c ,..,......,,,,,,,f-e c. &ju;[;ta,.;""" Y l"< ;o .< "\-o -,,,, •• J undcr S .,,~'" \0'" cl•.~':l
8 -=
Pla.fe
. C\.
r"~c.ho""s
fC ' (tla.l\i
- ( J
'(L i- ) 2 retJ.c. h-u,",s
r,'oY1J
('v\~
;."...,+o..;
E ? ' = = 2 '-15: N \
s r z - /:
6.
C i..
I
,....-(l
I
C,
A-.;
(t'''i'W'5''' A') 0.. Trul5 iTY\ f0'(Kíl'1 l-a'f'\ r "l ;n e J . b. 'R.e"d'IO~.S c1",t. i\\ile j~fMiM+e ' c. N o ~uj(ilar:v'M (í~ fO)
Q..
cC f •.• )l·ll'brl\,JY't\
A = 3b8 1'1-" (A J t'11 =
eu"'pld-e1i (o'" S,{-'n.iVl<'J ' 0u. t - _ i~ fC('l'l1:nc,te ]) c' [,u,[,l,r,l,/'" ""aiY1!u,l1ed .D - :; B =(;.b7k,k4- R ""r;,67 k"hl-"-)" ~ I, -~ 1 -' -~ I (A1 j-8~'" 1 0 k;F) (5)lf Conlv('T"Mr reo.â;o~s
Z.
t
lf nO "l-1.D",-vrrr"f,M''I- f"calkl rc""t,'olll 0.. ?lG.f-c ~plcftl'1 (o~.,ir()..,'vJ.,.,{
0.. Tr..,\(
(b )
245 N
('3)
111
f'"eú,C !-ro'n !>
b, R eo.r.
""";,,tc..i,,
.§-= 0, - º : ' "
(\()"-co,,c..urrrnr, M n - p c rA I/< I
L f
c.. E1v1iibriv •..
('LM/FO)
,'i,'bn'uW\
(3) 3 ~o~-(o»c.v,...,..ent,
(Ij 3 n''I'I'l"''leJl'Y,,,r,n'''''-f''ralki r~(h'o"r 0.. P.t..'h. """"'rl<\-(Ii' c.",,~tr"';n,
-J
D
C,ond,a;"",,-<, '.,.f-ú.r. in.hl-en ..,;,.",Je
c . N o e ,\v
(4 )
.•.....
lY 1
A- ~ ~ f A
r r~C
Con~urren
º
Lr.irl
nO~-for4.II<.I
non-c.o.--c.ur"'~nrJ
i '" _ t c : : " .!
(Prob.4.17c.) 5'Olb
.
] ) - 'r 1 1 .-1
61
S ino
-B
t I
h A
é'-=3CON~ B
B=
3CúN ~t1?7r
'.
=
A
=
3001\1
SJf\T.í5. .8=2230 (1),..7.7 3.
.
= Z2 10 N
2.2)0 N
B~ 221 0N """"
-
As ir is rv.i~~cl, Fn:e.-tod\ J)io.S'-o.YVI. f"c t
< =A
G
::: - -;;:;;-
{ } :: :±
-o . ./
ç-
-
N-:::60' V \
c < : : : 3 o' .,;,6 ').:.- 2'153 N ~V :::(250 -{e d X q.B r FofU'
Tr"6~,'\ le
T - = vJ ta., A:::
')0"
- = (21.f5'3 N)
fr..'1 30'
-i::!..- - =
T=!.1f!6kIV ~ 2832 rY 2lf'i]N
Co5030'
Co<; }<10
=
A= 2.83l
Free- bod~
F rc :c - bod '1
j}
io .
5(11
rY1
~/if)~-;:-;f c . c n ' " " , , ' /r,(-' 3 fv('~, i...,!«rccf t J .,f - J), /Un (Jow!
t1 = -
~
f-J,J
'f 5 '0)
.D ;DaI"-"'"
( 3• The
fo("( (: b od '1 ) o.e-riDn o F A rnvsr ".}'n<~< B -K,"'OI)~ h
I,"'e a r
Oa.'>'> I C1nd
w (
-.l)
D S O l b
B=P
ft:=
p {i
s"O-lb locul i"dns~,t-.
r J !s o
(-hA.r
r1or.:
flC - = V G 2r- O 13
C
=
L
lO in.
o. Triú-. ~. r~ Sn :e _ _ _ l
/lo fi,,!:; f-I,,,f f1,1~ tr,-c.ns I" (S 5itYi"!{l r
J 1 C.D
~6,~
;1 , ~:;
tJf
to fric""S /~
Ff3
~
B
dias(aM:
_ SO Ib
---;;;:;;-
Ir fDllcw>
{I, J ...f
h or;~o n+ ,,-I
ti- i c
-
Fr~e-bod1 . L/ne dc..r.nOh 0(-
c.)
A
J
T C1nJ
Wh<:r<
A J)== ~
15"0- ti loa:! infarcd.
EF
h.~}O·
L i-b D M M
tan ti. = ,.c r~::-
2 ./).0
.
==
~w ~;~
N,
J)'O
A
.i;';.~
d
ran IX
==
-=
Tr,a,,'::S/~
f s,vles:
F " , - c c.
150 H
= - si~ 7 ..7 5 ':;· = -
A 2'.4/
(3 ·-{iJYce.
j)/Ci~~
A
é\.f-
=-
C
5/",/5'0·
b04'1)
Ta,,)
BO-Ib loa.d
,'r.tcr~ccr ..
-n(AC)-::~(Gl-c)
])(j =
I
ft.5 I (Prob, 4-. f?)
- = 120: - = !'s'.f.I:
fel VI (Y
BOlb
J-.
A
/unl _
A&
·67f)
:= D C r _
1.5ft
2ft
EG -
A
fi
=
5'n5'3.1]' 82.5/b2t J4.0lf;
-=
T s/n7S.U'
c( ::: 1 4..{)li' 400 li
(1..= 36',87
--r--JOil1.---I
80 I};;
bod'j)
Ree.ch'onar C fY Ju sf po-!..<, fr,rÓ~\Qh k K!~(", F On'/ ~' -.PE 15ô -/6 far"CI!. in fusccr .
"'~{~ -
.;r/Í"~
fa M J =~ ~ =36.87' 3H = - j-C IO ,'''')::: /3.33 in.
"",()
tan
C(= CL-:::
KL
C01Â
'S;n So.9J'
Ó11hp
41r
f ·~"1l).;< ::: 16.70" 15D/b 180"-('>
Trlcd J , , ?
L.aUJ o F-
Fnt:
_
SirI 16.70"
~"V1
- si'I/'!?,!]'
(C l)
é n E =
=--f: D
=:f//Bo -120):::JO· D
.
CF ::-(395'" 30° = />'0 Si.., Ju~ = - 7S mW f F D =C D - CF = = 2()() '" 75'" = - IZ)'mll-t 5'''''''(1:' 4J)==.3c/: rru"1 Tr;aYl'f/~ EFD/ctnr;l f=F::: (F])) m n 30~= 12S-fa.., 30°-"", 72./7 tYI"-t F rd 'Y h fr1c."1!j / < . . E FC :
tem c< = -
CF
EF
-=
7Sm,;, 72.,J7"11lt
/~.~".JII1.+3i().
F ; . D S'-n
/e ..
_ 1 50 1 1 0 - s;" ZO.17'
lJ~
":~'il.3.I3· .
1- =-
_G_i~n.__
c-:.:
c
fv(tC.... ;r'ltr(!c'c.t.
fr lc
óJ1,u ho"d,f,.-{f'>Y\ fr,'a~'3 k BCt=:
c < =1.0,/7' PólCC
r~
boclj)
A -C .= - C.J)= 2 OO{1Wj ,
5iVl(C
{
T= 100/6
(3-force
K
l,BI.'f·
'ro o -I--!
0,-.0{
r zo O
I{-
j,( ~ -"-9 ~ 1 -(p -G -o -6 -, 4 - - .- '- 3 )----r;-0-cc---b-od-j-D-;Ct..-o..r-{>-m-.; ,, ;~ r i
6(,') N
Read'''on t(j- c ,.,.,,,, 1 - P"y;. j-1,'UVS " c,wn<.t':: fRJ:>
T"cu1o/e. !.LJ.v.; óf ~ine5 :
=
= .-
(3-fnnc
rurce 11
C =-66CJ N
H-~"-~ .1),'0.3
:: /.'j-ft
r-6Ft
.iF ;'G 1
~ j ::
~ ~ !,tB) iJ
200;-1 SinBS']"
0 1 - r"c,c/-,'ov>
Mu<.r P O - '~ /iorucx,:; h ]»
vJher~
::'iit~
SiY7<'5 ;
ft::: 1f8,,! /'I . L ',.,e'oF o.d-,o "
__ ~ .D E .
()f
_ 0 -
Sil]
",,'~~
~:\~
Tr,c
Lo,>,/
SI'n 85'.07'
'- '~ I ~l7E .J~. 'Fr~e-bodl
C( = 8.'5'7'
qq3
22.62"
.. ' c/O'-U.
~8 ~~~4.
173m,.,
'c:
Ec ::-.l.5Q.
DE
fJ1"'1
2 Lfr)",,,,,
T
S;" (,7.':0'
TanjO
EH = 100M>'.!
PI-/
(!J r
= - 4Com~ = 693,
PE--:: 6131300
fr1"J
0(= 62.115'·
h'1(;
~0
7he /;,.,< d{ o"d-ioY1 of 1k< n:A~ho'1 ,J-C IY1v:J p"s> H,n:v:sA D/ IV'Auc fi an,; I!t::...200-H lcad i",~T-·
f r-~c..{-;on
p'dS ~h
!Y1u,i
(3 -r-D r~
])/<:'3I'11m
12 S ; O / b
(6) {=26/ /bL 61.8"
~W ~
'I6.1u· -
!f;D:::300N) (á)
~=
C
_
S '0 60"
J,t o o N
- 5;" 7J.10"
C=-]6/;! jOO
11
(6) C::- 36/N.::Íl.f6,j"
~ -< @ .
Frce- bodJJ~jllS~(3The
roru ",r fi
"-coch'oY1
r:~'
bOdj)
mv~r
J -,
cl
W e r1vk 11·""r tr-,""n::)~ A-BD
t2rJ.
(S,r!L(. fie=- ec)
B
c D J. C.B
rCo-Lr(L1Y1
Fõrce
>v;H,
A.
A "--" cI -
~
C
FoIU.
A"j/c het'",·r:oY1ft:.!.
b~
3-~~
I
~rC "MI- f " " 5 ~ 1 i'r 't< f 1 12\
f« (A c J-, 'tJV 1 J
H -("",~
t A
{1-,
ic < wl'r~
f-riIJ.'" ~ /e.
S,'m,'/eu
fv
8c 1).'
fr'a.ns/<.
T _~-=_c_ / - - ; z ; ; , - '1,"11.
/5 (h,
C < V)I{/e
Thvs
verf-,ú,/,
( .< . f.rr '" "" ".", ~
C
-
/50"- (10"_ d.) -2(1\:: 90~-C( pcme tri,:,nc:k rç /CtL'cey>
'lO-ei.
C
c<
"'A ve
tAl<
rJ",j
fi = = -
-
/70 JI
c< = -
C=- 2 . {!7Dti)Sin
.
f=
.8:/70N~33.1~j
4-.5 2 >
G
Tn'CJ" ,o)c.
V/c no/'(
~
1 7 "-"" 5
{;
C;(-= 2.e.o7~
1 7 DN Y
L
~------lA
/V I U'C frrrc =- c<:::: 28.07"
$'-"'C(
I~'"
T
1:CAD
;fl:;u,
.
-I
300,.,""
i< . iSr/,u:!..-s
''i
ifl.j rnt<1.
-,..5
D wh"'c. f AY1 -< ,< : 17 () - N fu r'~ i fi I- e ($ {'cI- . f';:tn M = - 160m,.", c(::::28.07~
{iHUUj
~ j/ I~T t a ê J [~(7r:_~l !7ce - b r : : : 1 '] )
I
'7
(3 -6ne bJdj)
7 i
/bD!YL2!J,Ic
~
fi
1 Ib- O m",
I
H'u. -bod'1 J),4Q JOt!j
j60.0t!
-I ,
--rr I
150«lM
J
CI .
n IÇ O ""'" L s I7DN
lhe
r((/c fr'v'n aI f! fY1rr;;- f?D
c w -d /70-fllvrce J...
I tY>1
W <.
/10
r é ' f1,a f
fie.:- r-,c).
/11
Cí _ -
fhr""-'j h D/ 'V~"'"
fus<'c t - . o( ::::-2b'.
/bO«'ln XlO
fílén1:J
íhN<'h..-c.
J~
4t'.j
ff 4 ~
ç
7 ! { ( - c ; to ~ ( f v C ; ~ )
07"
rY1W1
le /t:D 8 ," i'Dra:!,,!, ( s r 'J . '" '- '411 = = - 4- B =- "1()~-0(
Th e ~d
Ir])o :::-2c < róYu:.. Tn' ú"',5 H . a.yH.r:/."
b~ rv< e
;4 ~trd:;;"miJsl- -Zc< - c < : : : : - c < Thus I
flffc..e
i~tJc;celps.
13~'
(f Ix :: C-Dn L-U,-r-JY1 t o. r.I). ;, TI , i Ç rn <"" S -j--hce f- r-"'-< .. (1 c,f,'cu 3 0'0'1""; C D o f r'V<' G '
If ~o ~ The
t..-frms ,;>./-,4 CU'd.. {H< W~'Sht' ,nuS/:-
ró:J,
( (1 :
((:c...~Qk
M
ir ia ~ .D /s . /f' ) CVY!cl
A: 170/'1 C.:;=-.2 (170N)COS cí ~ 300,0
li:
O" oA/'~
v r < .. .
fol/ü>v~ (f,1!.
fi-,A t-
Dfí,"r
IV ' /I c-
q: PCB
A",,.,d
b-<.
iS ejvC11 !1 C D ,- s r
li é:])
+
B ])
!! a.n-!. 8 G el f-o C < , _I vrr/-ica(.
ecrvA(
A
I
-+
r>1Vsf-
C.
67
ddil1"J
ir<.
p ,-
lo
I
- - r IX.E = - - - r )i-C13 = 90
e o: = - 1L/ ..tI
-&-.
t,
~
ti"
I
{t:
« E :,I
f'i
F :c e -
b od'1 'D i 0.'< rar't1 (3-fDn;b~~
Th~
r ~
I'N'''Sh
Q"d fí
§0h1.,.(
~tJ.ct'·U>1S
rnvst be
~
.:D.
Conc.
8c =:(pc)
Trià"St. 8co:
BC =7.-ft1>1-t1
rá.>1éJ
CD = t btnl-é
B c.J) : CD::: (8c) r-Clt18 Tria>15lc GCD: GC::: (CD)tt1l1 r J
IO'M s!~
68= GC+&. =-?fZJ.T1~8++"1z:,n E ..j- 68 r s KT1oWY1 7u b~ c;~6.1 fu
Gc - =
iMJa
2.
e rad/us
1- fz u 1 3 f J + i.tz ,;.. [} - = % . t J . , . , . ? i 3 + tltn f 3 = {
501v ,'''::.
7 tri';(:
'0
'* ' 4-,61
ftJ ;; ();- o.{,Bllf
/ ,
LeI-
/
E b: +hc
?o(rJf ~f infrrftt- f/o "1 of ff,~
/ .J)/
rc tt cf/6f1,
11
~,S ;'n < ~
,:
ar.d ~ {"'''CS f.-. r0 h 0/ a.'1,( SiM"" !Ç ; is f1d,'« )lAr
Ii
"3
/iC E foin!-
t's
o. r:J},f
E ;.s
-4IXJ/7i~ -r-
(a.) rro:.. -boi'!]) ~WY~ /111
o(
!f- ICf) /f.,,'UlJsh
T
-;48
!;'C C_irck 4./1tX fi E=- ZR, Incccn/rtt! ansle =r«rf0r>dih';; TJ'l
< f J)ori .::: 26
ui
nxt"rrcrlYl
/
To 1',,< 1(l5Cribuf,
I
11~ -4 EO C=: 2B,
I
I
)
;Te,
·61ve.n:
f
E
:
(3- fer n:c b4
J) t'áBfV.iM
o ac.f-iolt f'1
tu frE) fr'A"éJh I (-l-1c e-;rc/c. T h O / ~ " ' 1
j"
0'1
Frcc- bodj
(3 - to•.u: b od ~D
Th c
!X A ,
ons lc
fr,'ú>1S!c /nseri/H)
.
-:=-'
I
3 R
I
r fc1J:'
I
W!,(r~
atjd vJ i•.• tcrs.(L -
Tl1r (,"C of Ci.<-h'oY; oF - !!! ro1VSI- F'H
t
)1
E.)
fhn:>v-:;h
wh~r!' fi - M'ld ~ ; Y\ te n a·, ThUJ
c
frlid fO IV1 r
G- Df
nxd l"Y 1u sf- b< o
~
v/c.
'= W fA., 30.8"
7;6 ::-0.596
V/f''/e Ihaf
p rOJ cc fioYl
W
T =-'!:L. c. D
QJ S
30. go
7 :: . D : :
I.!b lf
W
Sdtrn';] -<8rJ
S o Iv ,n :s
:
/fé. anl
(!tE)cns
2{)
CoS
=
(4G )~5
nor/'l:on lu!
lil~ 5'''' J1t'<'
{}
!
2R ces Z 8 = - 3t Coo:,8 Lt U/.5 2.e ::::3 .:.os ~ n"ve Coo. 215= 2~'L8 -{ J ~ fi = [J . 8co s ' - - o - 3 c .a , s
1
I
"
e-
lhe 7l-1ttdrafrc
w:,f) = (),c!l101t «
.46 !lAve
e = -
O.54I.fOCf
.
11,'
fDr Cos{):
& - 23 2 ° f) :; 123'.0·
~
f
(di.sCetrdj'! I
+ (-S8~-t,C)j
(4CSinbO'.-IOõCU,(,D')j
E(ftJ"/-i"::,, (J)
G)
L f- (5 i~
-5
cr- !~(_
c"....{fic.;,,,rJ
{I "
'õ -
-/00
B •. -4C =
@ SI!,'f -/00 =
úJ;
(,o. =
~ =
. (30.0 Ib)
11f. lf5lt-11
=-11.5"47 jb
B'I - = 20.0 Ib
O
2 .li-= = O: P 7 + B y -9] = LV~::0:
C -=
Ele, "'"- 0,B(I'f.43'f)
O
f"
u,,;/-vutv.!.
O
o
+ -{S B y-I C < J)j.::
O
f+l- rB.:<,.+C=O
.
A7 = - SO - 2v
Ir a 27 J b A •. =/I.')l.I7..,1!{,LtY/:::-2.g :="
30.0
i-(ZJ3 q Ib)! j 3= - (20.0 Ib)i-(JIS)j~!
-
-f =(!lf.Jif/!):.~
Wc
Iv'K
G
U" ç,.,oywrl(
B i:
L [j fi :=O : IJk hA 'IC 5 u,,,K,.,own.\ C1/Y1d 6 úJc o f CCjvr'!/"&;UrV1. ir -fm 1 "\1 ro ft"i( /Â h ':w r ;co.xi( I 6 u l--e1u /!, iJ /VlL1lnjC\,'f1d
Me
-
"'2.[::\/=0: (i gO i)1- (-I ço j) +(30 0 i ) x (- no ~) -I' (5'(0 i) x (D ~ d -1 D e t):: O - 2.7X/D~!! .,. '6/I-1O}' S4DI) f ; : E fli;] ÚJ( H. i)f-..i ",,,:f.-!!
fo ;!,erlJ"
0)
4=
ru ~
817/ 03-5/{0
-j
»2:=- o
o -Z7"f/ o J +S"l.fOD.y L Fx :: O : L F::::.o: o: í
t;:
-
)'T04
CD
.8= O ü O N J/+(i2 D N 2!!:.;
®
-1-(-
- 3 :') X
(,i + -
'f
(- P1:!)
. .i ) ::: D
(- /50
•
+/2Pj-I00+c;O~1!-I-bOOi:=r) O
+12(60):=0
6E j f900 ::::0
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+ !.:!J .!:! .) 2,8~
=0
Br=-ZZ1t1
E = (65lj/f)j +(981 !'{,~.-(221 N)-/!,) ~
t\ = -
(883
N .m )j + ( / D
"')1
'1 -6 fi,
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1.,21)
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= 2,8Y ) 1,8Lt\
ü
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f,l>
q;/
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te -
[:} A ::- ( 1158 I'i' m
j
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-'>
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CD =
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7)1
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-
+
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to "b:'('J ih<: CceH,'ci'"h !I'2 -I t::>lf = o 'T • .)
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ft.,e
of
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fi ~ - f1-!
=
+ o , 1.(8(/2.50) =
0.36 T.=
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:
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.
1
O
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or
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( '2 ..)
=-
(3)
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+tlr T
0
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C!fP Iir"'/ a
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ir:/-u
T = - 2.4 (1.2(,).::
rrÔ""(f;:
O):
==0
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D. 7681E,c:::- I.008(If,OO) t-O
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A - 'k : : : 2 '"_ _ O ~
w h e~ e
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10
O
O
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60
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(; -I';) O
o
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+
+
o
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O
4'5'00= O
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b'1
19
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la G -/5 7.5
(I)
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o
à
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B=+-!8!b
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=
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nvLJ
o
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L{'-i rtE = = - o:
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b o H -..
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T-:TêÊ
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=
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=
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26 ;n.
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2 pe,
C E
I =
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= = O
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Prob. 4.107, c:.)C~rr f'~ now
=
T
-
T DE
T - = T -
:DE
2'/J +30';-30~' W. 7 it1-
Ó f. (I) ir :;ft!J
vai/ti,
h t/ f E'f.(2) r;ow ro:h 12. -5
u
40
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Ilf)'-/DO liB.71./'-I
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O
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O
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T= 60·9/6
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r : : =0 :
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PC.O \ 60· - T w 56o°
O
T - = P (b) = r -, ~ M e = o: (T C-O) 30.)(20) - (B 5 i (1 3 o ') tt = = O 8= 2Tc.o/-30o::: 1Pif3
8==zIf3PL6o'
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o: -(CSi;-do")ú
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pif3
C=Tcot30-=
60. f ":f3 ::p 7
TM=o:'"
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xA
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t x
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O
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I t } - t B " / -
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c C f
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O
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J
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v/r
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c. t - = := -
(3)
f'
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:::.;.E.f..B;t.. C
o -
(8) ff".",f
(2 1 .-
C,=(h}1)!3 x cI
C~::-A)
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(7) (t):
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(8)
(It):
+ 3 ™ . B
F = - - k5
=0:
(JlD krJ)(8,-n)+(5'Dk,vX if ",)
F=*'í(f-e)
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)
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30·)(12. "") = o 7. 3 z .. P, - = o
-(f tC < J':. . !j-3
2..') -
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=
Ft
5"8,507
k!'l
A=S8,SkHtÍW' VVc no(-( lkd tr,,,,,S!-<:' 'ti C D ;5 i"Dsc.el~ anel -ií,.d.--8 E - = c.v~±:
e
F l.. - P t co~.P := o 2 jE /z. Oi - (j) t - P t Có~ f -;: - 8
. ~
= p.e _
~
+
Z~=O;
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B;>.+Sô's07Sin30°'-25=O E c'f
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T _
17 Pa.
-
()e t-6 C {)
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in F -i,"JC .
Tb<,t"""cI
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-tri,;f:
kH
(c"-) ?I'cb. I;.,ID) +)Lfi A =0:
o
7J-8 - /,25
b 'J
B;=-!;.2SJk;J o ~ = + J 9.3)/
B-;:~1.bkN},.8J,B
< J
=
~
ar~ t'm p""Op(r
15-a- 600
ccnc!
W;' c -;
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(b)
"'"Y>-:./-rAinf.s
H
<íL!J
CL=f(.0n1"'1
P '-0b. 4-. I o B
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13vr ~
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fV\vrt
c,lavo:] CD J i~ a. t,,·;.)-furiC
CD f.::r,-r.
S,"Y1(C
!r/clI'Ó Its 'OED tw.d J)FC ......E::-. \ II.fD
= ~/
CI"'C
01Cl<11
sim," /c< í: 0...:= 81(. m""
DI)
(c) Prob,
4 -, I 0 9
Con~rrl\l·"ts
tire
A
is.
f"'tO
im(!rorcr
l/c/ to .p
r;
iV'H
;f - w;rr ai .E
J
S'-o(<<
hw/<, f7,.rn Z j: D. íIJ,s' occ.ur..l whcn .
\'/ê
-
-
JJ
P
0(=60"
----;-p-
f- -..o ..
- t< -..ic -T éf, a. ~
D~;p
(CUf)'it'\=O: pC\. -( A
srn
16')2.0.. ::. o
·tA~ ::: P !j=O,707P;{lf.S" ~ + Xl' .::": Ae-os 'f\""- Ceu~ b~= o ~
~
c=-A u
f-=-O,7D7PYIf)
+~'I.~;;0:
-o
,A-5j'1l{S-~-c.s;"'íÇ)+DD-P==o D::. P SiN~ C:;;A) D:::
pf
~
~
P .= D
~,
~
1 I
