C2ic"d5m nim ngang.
Trang 1DAN( I HANH TAN
A
THUYET
'rp H6
- 2007
Trang 2DANG THANH TAN
T1-IUYET
Tp H5 Chi Minh 03 -
2007
Trang 4L? TuuYï¬
TAN f TRU’
Umg
dung 1
mbn
hQcI1121011
tao : Dai hqc 1 Chuorng
cAu BANG CDA HE u, rc 1 Céc nbi
chu-ovng 1 a - N65 dung '
n
két va phﬕ n luc ﬕén két
• a luc dé lvéri diém vé
dbi
vdi truc
'
' - Thu 11¢
Biéukié ncanbinqcia mï¬
•
' - B$il$8ï¬
‚ fhUm¢ !h¢ | l, rc:
'
Tim
vector chinh vé vecto momen
Thu
v-é
dang té i gié n - Bé
luc
té
var I - 2 Cé c muc tiéu
dang
cé
u hdijggi 9 chuwng
u KTra NQI dung 1
Dgnggiu
9
" 01 1
momen
•n:Q
mi hé we can bang chinh (
I_-_ O 1 _- Cé
C_é
uomg trinh cén b- 0
l\ l¢
l\
awn;
vdi 1 ng§u
we (173 )~ M c-
M;= 0, 1?“
:0 H6: l| _!c c6 hqp
h_rc
(
1-‘
)~ k 4- Mo == 0
= 0
h_Icc6hqph_!
dig!
lai
OHé
l1_Iclhuv5hé
Trang 5
-1-g
I
TAN
luc
* F‘ ~ (F'.<P,
F"'>
>
17"
F’
A
trinh
cén - 1 béng dé
giéi bé i té
an
tinh hqc 1 - Céc
cï¬
•
a mi)!
hé
4
O
~
R,
=ZX, =0V
-~ ,
-12250 -M = Zm_(ï¬ •
,
(17",
'
= > Zm: _(F)= 'o Phén tich
Hé lug :
vé
bé
ng
Tim cé c phén luc lién két?
4
O "
c
lucJié
cé c phu'crng trinh cén
bï¬
• ng twang Ong V o Giéi plworng
Tim
aaé
ré
n
_ bing 5 Tﬕ ng
hqp
"
SO’
dung phu'o'ng trinh cén béng momen ‘1 6 So sé
0
gem céc l1_rc 1> ,,1>,,1> ,.13 lic dung lé
n hinh lap phudng
c6
canh la u
10
kN-
P» : 4 kN; P, = 4 kN; _P, =
n
=30» -m =O.3m l Thu gqn hf:h_r¢lré n vé A ~
,
L . ,
Hé
l1_! c niy thu
vé
ddqc
hqp
lyre
hay
hé
xoin
Z E f
~
F
u
Trang 6Ngin hang aé ma; cd LY TuuYi: 'T ~
é
n bé
vé
R -XX
P
° ‘/5 X- K:
,+P,c0s45 = 4+
Il—
.=
ZYK.=P,= 10kN , R2‘: Z2, =-P, -gsan45°=
-4-u€ 3=-11,16
R R,
=,
/ { (1 1,76)‘ +10’
i
=\ 9,4 KN MI:-aP2= -[,2 ,
"-1?
-}=0,3[4+l I-‘ ii]= A I M,=2-m,(1-‘
)= -a1> ,=-0,3.4=-1,2 kNm _ _
= R, M, +,R, _M, , +
RIM:
1,761-1,2)+
10.3,52 +(-11,76 R;.M,, # 0
dudcfxé
0
Hé 31q¢(P,
,
a3 aié m A,
Va
cé
chiéq mm hinh vé OA=
OB=OC=a _ ’
»
- '
' =1
1»
nm
kié
n
<
16
hé luc
thu
vé
- F _
ié
't
s Bé
pé n R béiz XX=(F:_F1)“€
&
—1~3>
?
<
B -F.>_7+ <
F§
-F1)/F] ; Zrr1‘(Fl)=
F,
§
Trang 7i
X -
"
' a Bieu kien de he luc thu ve ‘
mot
ngé u Iuc Chi cén dua thém dié u kiéh: »
1'é,
hé
kié
ri: E10
F11!
I
Ké
9 V
' ‘'
'u c6 lién xi-£
hinh
c dinh ¢ a¢
cé c
lié
n
ké
cm;
L
,
q
P -
M
' R q P M é
B
3a
, l_§ ,
}_’ , M
)=
O
EFy=
0: > R,
RB-P’
() .-= 1 RA=R+P+mRB=-— q;- CB:lAB;
DE= 155 3 3~~» _\ _L A
Q 4 Bé
2kN
;
lhanh
BE nï¬
ng P =
4kN
Tim
<1 =45“E »
Trang 8-4-Ngin himg aé mi: c0 LY
Bé p
é
VD
R
―
1‘
A
' E
P
XA
17,
' D3!AB
cé
' '
ZX=
O=>XA +Xg = 0 ZY= 0: :»
Q+
YA+Ya + N¢ =
0" ZmA= 0: : >- -;
Q'f
aYB +§ aN,=
0 ~Ta xé t sang lhanhQBE:( F-’
b Lip
phurdng
XX=0:> -X5-N|>Sina=0 ‘ ZY=
0= > -P-’
' 2 ,
aN,
, = 0 Chuy: XB=Xg- Y 5= YB- Kﬕlggé : ND = 2, l2KN, X3
-l,5'kN.Yg = - 2,5kN
Nq
KN.‘
O,7SKN
véo nén 6
diiu A va nghié ng
60
" vdi né n Dzim _CD iién ké i vdi e61 bï¬ • i bin lé B vb duqc d6 nﬕm ngang
dﬕu
B6 qua lrgng hrqng
'1a c6!,d5m, lhanh cho:AE
: ; - FD = a
Tam
phzin
czid
l\
_!
c
urong
lqi
B,
E-vi
F
C B
‘
D
,1
F !
>
Trang 9Ngin hing aé ma; co LY Tnuvii'r 9,5“; THAN“
p é n
bé
4,
"
D
.'
—
’
E
Y,
=
60°
.1 M, ‘X» r 0
lhgnh DC Héh_Ic léc dung g6m
( X8, 17,,§ £ ,
,I3)~ 0 ZI'ï¬
F= 03Yg.3+ P.23=-'0I>Y5=-2P‘ A ZmB=O : 2 SE|
()3XB=
:
-5!-iSEF :lg-56F: -3‘
Xé
Xj,,Y;,Sg,.,MA)~0 EmA(F) = 0 = MA
=
0
EX=
02X, \-X‘;
\=O,
-
KEigmi:;Xg
=
-3‘
/
51>
; YB = ~2P ;SEF=6P; MA =-*A_4Pa; xA= 0 ;
YA =
' P Ghi
chï¬
• :
phﬕp héa rs n ‘
- V ‘ s Baas ’ I ‘ v 1
K
' v
Hai thanh DE
vé
FC noi vc'ri nhau béng banle vé noi véi thanh AB bang ban le tai E_F
Thanh
AB c6 lién
ké
Xé
c
luc
tai
E
vé G'n'g'|
r'c trong
thanh
CF
" n , 1‘
Trang 104
TAN
Dé p
é
= > %-
5%
%
G
Q
X‘
_ MA ~ Hé
a rin (X,, Y,
= 20 ZY= 0
= YA - P= O ZmA= 0: >
MA-2lQ- 4lP=0 ED= (X',, ? ,,
P)=
0 fQmI~J§ 1
2x=
>
N.-éi-3| -4|
~ -i _—i»P ‘ Yd D \ Ké?gua":XA= -2P ;
YA=P ; MA=8Pl
Xg=
Yg= -P/3
l_88P 7 Béi 7 Hai thanh AB = 4a,AC=2a,trQng.1u'< _$ng khﬕng
ding
ké
' dd
cim séu vé o (ngim) wdng 6 C Biél
ngang Tai gifra viz
thing gé
c vdi AB lé
cadung
m6!
h_rc
l1,rc !
z_1iC
gé
c
A = 60"
AC
nlm
Trang 11'T 9,5“;THAN"
TAN Dé
p é n
bé
i
7
B Q
Y¢
:
60 E M, Xg C
' Hé a r5n: ( Xc,
Y(.,
Em¢ (F) =0
Q Q.2a.cos30“sin'60" —Q.a.si 0
+
.=
= Q.a - n3 ZX= 02 -Xc
Qco§ 30“
aXc=
< '9 ~ §
'g§N©N ZY
= 0 : >
=
'
Xé
l cï¬ •
0 s ,4:ZmA(F)
: >MA'+Q_2a =
0 ::
>MA =EX :
'Q—
- Ké
iguzi:
,
\
2'Q.a J5 Q ‘ X :— -‘Y =
— - A
cilng chiéu
dz‘1i’4a, cix ng lrqng luqng P,duqc 116i vdi nhau bhng ba lhanh
khé
ng lrcpng luqng nhu
hinh vé C2ic"d5m nim ngang Dﬕ u A
cï¬ • a
dim bi ngï¬
•
urdng
Tum
fl
_I<
viz
phin
h_1'c
m A 1E
A 1 B
-3- 1"’
Trang 12(
TAN
Dép é
n
i 8 -8-+
_-3-_
,
'
— 3— T— 6—
F77
\
F 0
B
' L
P S’ 1
/
‘ <
2*’ —
- H6ar5_n:(P,P,RA,,M,)~
0
ZY=0:>-2P+ RA=0=
'> RA=2P ZmA= 0:
:
xe1manhcD(§,,§,
,
2Z=
0:> S_1= -P-‘ Q2 Zmg=0:>
Xmp=
tgua:
R,
=
2P;
,MA= 6Pa;S|=
;
S;
=S; =-Pg 9 Bé i 9 Thanh ngang OC c6 lrong hrqng P =
1000 N ,
Luc Q =I00 N cénh my dim EF =20 cm Thanh auqc gifl nim ngang nhb bin lé
ciu
lai O vï¬ •
dﬕy AB \§ z‘\
CD Bié 'l: OB =
luc
mi O
vi
sfrc
cï¬
•ng cï¬
khi
lhanh
cim
bZing'
’
°
Y
C
0 /
‘X
/
/
Trang 131
TuANn"rAN
é
bé
i
9
Drz
Z0‘
_ ~T
0,
_7=EQ X _ ~ (X,,Y, ,,Zo,T,
T,,m,P)-0 _ ~ZX=0::.>
Tgsin30+
'2Y= 0 2-T| cos 30 -Tgcos
'O Zm‘ =0:T|
sin30.0C
¬ =0 ZZ=0:>
-P +T; sin30+ Z,=0 Zm,=0:
>
80N ;T| = P=l000N
, X,
,=-40N;Y0
;Z, = SOON 10 Béi 10 Tim d§ ng chit hinh chit nhét lrong htqng P =200N mic vé
lgtdng nhb g6i ciu A vi bzin lé lru B vi du’qc gifl cin hing 6
ngfhg
nghié
ng-30" vdi canh AB Tim phin l\
B vé
sic
cing
cï¬
• a
dï¬
y
-
t Y
,
_ ~ >4
Trang 14TAN
"Dé
é
n -
'bé
i1O
'§
°
.YA
B
Y
A (
>
D"J“
x, z,
, ,P)~0 ‘(X Lip céc
phu'dng
trinh
cé in bing: I
XX = 0 : > X5 +XA
O :> XA + “Haw XX/=0 => YA—
Tb_os30c0s30=
Tcos60-P=
ZA+
: : » Z52:
+ T.a.cos60 -
Pg = 0 = Zm,(F)=
0 =T=P ): m, _(F) =
-‘X3.a + Tcos30sin30 =0 Keigg .- xA = 50./
in
z, \
X5
~Tl/
42
2254-T— P=
='2o0N T ZOON; X3 = 0; Z3 =
0
Q = 1'5N duac gifr 6
vi tri n§ m ngang b§ng
ban
lb
A, bén sétru B va tn luc ngang
F =
30N_
Hï¬
y
xé
phé
luc
X U 19 k’ 0 anh KC Tém
chiu
dung
Cï¬
Trang 15Ngén
mg aéma;cd L»
TAN
11
Z in
4/
~
)7‘
Y
_ A '
—
—
"
D
Q
5 X c B
K
Y‘, Z‘
Z’
,
A-F+ Ssin30“sinB=0 ZY
-
Q+ ZA +25 +Scos30“=O Zm, =-5-4i€
.P+
=
52‘
Q=
diy
khéng giiri DK
song song vdi BA chiu '
vé
BE:
20cm, EC: CD
=40cm , P =
IOON, m|=
_rc
lai
A.E
va2
svfrc
c5ng_c1'1a
dé
DK
‘
I
.-
rnl
>
‘
-‘
‘
"
C