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Page 5
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Page 6

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Page 7
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Page 9
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Page 11

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Page 12

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Page 13

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d q m mm
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Page 14

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Page 15
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*
G V* X* PG X*
M5 %  ]#& Q6_aC6#&
8G*
d0e
GT
b
B

8***+ -
cf
kn
T Nm=
6i 
/,1
c
d

8
d
0
D

8
l
0
l
P
l

8*** 8) l80 0W )* X0 0* PG 0
k3D!;z #D.= Q6_a
* P
0 0L8/0LTX0XW*
0/VP d e X
L L L )L8G*L8)LPG
d d
c
kT
MPa MPa
Z D d l
σ σ
= = = < =
Page 16

k3D!;z #D Q6 %
*
P P

8/0LTX0XW*LW0
V)/V) )*
*/8L L L */8L8) L8G*L)
u
c o
kTl
MPa MPa
d D Z
σ
= = = <

0
8
0*
X0 W0
0 0
o
l
l l= + = + =
_`abCbs
V">%<W(
9]aH%: 

'!
'68
'%0
'C8
'CLG*
'C
m

‹


'CL G*
'%8
'60
'C0
1.1 Chọn vật liệu:
7x%"=bXW @% &%;L
yK%#D
G**+ -
b
MPa
σ
=
yK%mn ="=
d e 8WLLLP*MPa
τ
=
1.2 Lực tác dụng lên trục:
  #B%CD%C> 5%% >:
Page 17

8 0
8 0
8 0
X)GX/V
8GG*
8)*0
a t

t a
r r
F F N
F F N
F F N
= =


= =


= =

  #B%CD6% >:%C> %[!s%`&=0
)P*+ -
r
F N=
  _%C!=
0
0LTX0XW*
88V)*/G+ -
8G*
t
t
o
T
F N
D
= = =
 !=% >:

*/0L */0L88V)*/G 0PWG
kn t
F F N= = =
1.3 Xác định sơ bộ đường kính trục:
[ %z 
8*LT
d8e
8))
%6 @
P
*/0Ld e
I
I
T
d
τ
≥
P
*/0Ld e
II
II
T
d
τ
≥
C@d
τ
ezK%mn ="=Lb\%C> ?
d e 8W+ -MPa
τ

=
C> ??
d e P*+ -MPa
τ
=

?
l1[mn%C%C> 5%L
?
()*GXX/X+,11-

??
l1[mn%C%C> #5%
??
(
0
(TX0XW*+,11-
.
P
P
)*GXX/X
0T/TW+ -
*/0Ld e */0L8W
I
I
T
d mm
τ
≥ = =
P

P
TX0XW*
WP/TW+ -
*/0Ld e */0LP*
II
II
T
d mm
τ
≥ = =
b\]#B
P*+ -
WW+ -
I
II
d mm
d mm
=
=
Page 18

1.4 Xác định khoảng cách giữa các gối đỡ và trục:
bDCBR:$#

%[#&
8*L0
d8e
8)T
%6 @
8T+ -

P*
WW 0T+ -
oI
I
II oII
b mm
d mm
d mm b mm
=
=


⇒
 
= =


 bD16#6
80
+8/0 8/W- +8/0 8/W-LP* +PG XW-+ -
m I
l d mm
= ÷ = ÷ = ÷
K
80
X*+ -
m
l mm=
 bDCB16#5%
00

+8/ 0 8/)-L +8/0 8/)-LWW G +)0/W -G
m II
l md m
= ÷ = ÷ = ÷
K
00
VW+ -
m
l mm=
 bDCB16]|6!= Q6_a
+8/ X 0/W-L +8/ X 0/W-LWW +VV 8PV/W-+ -
m II
l d mm
= ÷ = ÷ = ÷
K
0P
8**+ -
m
l mm=
[#&
8*LP
d8e
8)T
%6 @
M&  %Œ1H%•% Q6#5%s%%C Q6B=!
8
(8*
M&  %Œ1H%•%Rs%%C Q6B=!
0
(8*

M&  %Œ1H%•% Q6#5%s:n=R!
P
(8W
bD 6:n=R#:

(8W
 v"%%C> ?+C> 5%-L
[ ] [ ]
80 80 80 P
*/W+ - */W+X* 8T- 8W 8W WT/W+ -
c m oI n
l l l b k h mm= − = − + + + = − + + + = −
6 @
0 0
8/W X*W 8/WL80/W X0P/VW+ -
aM a
d d m mm≤ + = + =
/+71C[5%‚
8
(0-L
C6#&
VLT
d8e
8WW
B
b\
0
X0*+ -
aM
d mm=

Page 19

88 0
+*/T 8-L +*/T 8-LX0* +PV) X0*-
aM
l d
= ÷ = ÷ = ÷
K
88
X**+ -l mm
=
88
8P
X**
0**+ -
0 0
l
l mm= = =
 v"%%C> ??L
00 00 8 0
*/WL+ - */W+VW 0T- 8* 8* V0+ -
m oII
l l b k k mm
= + + + = + + + =
08 00
0L 0LV0 8XX+ -l l mm= = =
0P 08 0Pc
l l l
= +
b@

0P 0P P
*/W+ - */W+8** 0T- 8W 8W TX/W+ -
c m oII n
l l b k h mm
= + + + = + + + =
0P
8XX TX/W 0P)/W+ -l mm⇒ = + =
 S&%@1%n%: % >:%C> !5 %   <%C> L
 C> ? C> ??

)P*+ -
r
F N
=
0PWG+ -
kn
F N
=
8
8
8
X)GX/V+ -
8GG*+ -
8)*0+ -
a
t
r
F N
F N
F N

=


=


=

0
0
0
8GG*+ -
X)GX/V+ -
8)*0+ -
a
t
r
F N
F N
F N
=


=


=

l1[
8

)*GXX/X+ -T Nmm=
0
TX0XW*+ -T Nmm=
bD
16
80
X*+ -
m
l mm
=
00
VW+ -
m
l mm
=
0P
8**+ -
m
l mm=
bD
<%C>
80
WT/W+ -l mm= −
00
V0+ -l mm
=
88
X**+ -l mm=
08
8XX+ -l mm=

8P
0**+ -l mm
=
0P
0P)/W+ -l mm
=
Page 20

k9]am w!&  
-V(,fgNV(/(,Ue%<W(
2.1 Trục I
2.1.1 Tính phản lực
b\;%C> %\6B•Ž
Page 21

'68
'%8
'C8
'CLG*
'C
m
‹


'CL G*
':m88
':m8*
':8*
':88
WT/W

0** 0**
0
*
P
8
J]%C• A#ƒ
*
*
*
*
L G*
+ -
L G* + -
*
8* 8 88
L G* *
8* 8 88
N8
+8- LG* L L L *
80 88 8* 88 8 8 8P
0
+8- L L *
80 88 8* 88 8 8P
r
r
F F Fl Ft Fl
x
x x
F Fr Fl Fr Fl
y

y y
d
M Fr l l Fl l Fa Fr l
x
y
M F l l Fl l Ft l
y
x

+


+




+ − + +


+


= − + − =
∑
= − + − =
∑
= =
∑
= − + =

∑
)P*L G* 8GG*
L
*
8* 88
)P*G* 8)*0 *
8* 88
8**
+8- )P*G*L+WT/W X**- X** X)GX/VL 8)*0L0** *
8*
0
+8- )P* G*L+WT/W X**- LX** 8GG*L0** *
8*
F Fl Fl
x
x x
F Fl Fl
y
y y
M Fl
x
y
M Fl
y
x
− − +










= + =
∑
= − + − + =
∑
= + − + + =
∑
= + − + =
∑
Page 22

8P*G/V
8*
0PPX/)
8*
VG)/P
88
8)G
88
Fl
x
Fl
y
Fl
x
Fl

y









=
=
=
=
2.1.2 Vẽ biểu đồ momen
Page 23

'68
'%8
'C8
'CLG*
'C
'CL G*
':m88
':m8*
':8*
':88
WT/W
0** 0**
0

*
P
8
F
t
F
&
F
.
)*GXX/X
PV0**
0)*XP8/X
X0VG)/G
8WPGG*
0XGT0/W
•PW
V
!G
•X*!G
•XW
•XW
•X*!G
2.1.3 Tính momen uốn tổng và momen tương đương
Page 24

 <w%C50L
0 0
0 0 0
0 0 0
0 0

*
*/VW * */VWL)*GXX/X GT)X*
x y
td td I
M M M
M M T
= + =
= + = + =
 <w%C5*L
0 0 0 0
* * *
0XGT0/W X0VG)/G XTP)W+ -
x y
M M M Nmm= + = + =
0 0 0 0
* *
*/VW XTP)W */VWL)*GXX/X )WWPG/G+ -
td I
M M T Nmm= + = + =
 <w%C5PL

0 0 0 0
P P P
0 0 0 0
P P
8WPGG* 0)*XP8/X P8TVV*/W+ -
*/VW P8TVV*/W */VWL)*GXX/X P0VP*)/X+ -
x y
td I
M M M Nmm

M M T Nmm
= + = + =
= + = + =
 <w%C58L

8
8
*
*
td
M
M
=
=
2.1.4 Tính đường kính các đoạn trục
76#&d8*LW28TW8e
P*/ G**
I b
d
σ
= =
d e W*+ -MPa
σ
⇒ =
•=> %z 8*L8Vd8TX8e @
[ ]
0
P
P
0

*
P
P
*
P
P
P
P
8
GT)X*
0X/8+ -
*/8Ld e */8LW*
)WWPG/G
0W/)+ -
*/8Ld e */8LW*
P0VP*)/X
X*/P+ -
*/8L */8LW*
*
td
td
td
M
d mm
M
d mm
M
d mm
d
σ

σ
σ
= = =
= = =
= = =
=
2.1.5 Chọn đường kính các đoạn trục
 Œ   DB#D/:n="=/ ;%6 \4!5  
<%C> 
34!5%<w%C5%C> 5%
P
XW+ -d mm=
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