الانحناء المستوي البسيط.pdf

: 1

.

: .

www.beziou.co.vuwww.fb.com/lyceeaindfla

2

:

I

II :

III :

IV ) ( V


3:1

.

: ) ( . :

:

: 2:

. .

.

.)BERNOULLI ( .

:1


4

: 3: : 13

. .) (

. 2/1 ) 1( ) 2(

: : 2 3.

. 2/1 ). ( ) (

1/ 21

2

3

:4

2/1


:: 2 53).2( ) 1(

: 2/1

:

.

: 4

.

). (

3+ 2+ 1+ = ): (

3+ 21+ -=

1

2

2/1

:5

1

2

3

:6


: 65

). ( :

3+2+ 1+ = :

:

: 7

.

.

:

/ -=

) . / = (


72/[ : [..] . [ :

.]4[) ( : .] [ :

:.0= ) 0= ( 1. = 2)= ( 3

= =/ = ( . (

)/ / ( = = 4.]3[ ) / (

: 8

.) (

: :

/ = / = : : : : .


: 8

).= (

/ = ( . (

: 9:" "

). ( = : . :

. : E : ( YOUNGModule de.(

:. " " " "

.3000= " " 4= . 1. 2. 3

)E. ( / -=


9

: 1. 0= + + :

0= + + ): (

)1............... (0= + :

1500= 2/ 3000= 2/ = . = 2/. ) :1(

1500= 15003000= =

: 2.

. ): (

0 2/ :

= 1: :

1500-= -= 1

1500= =

2/ 2/


) : ( 10 2/

+ = 2:

1500= 3000+ 1500-= + -= 2

: 3.

): ( 0 2/ :

. = 1 0= 1 0=

.1500x2=3000= 1 2= 2/ ) : (

2/

)2/ . ( . = 2 .1500x2 =3000= 2 2/= 1500x4 -3000x2 =0= 2 =

1500= 2

2/

2/


: 113

: 4

/ = ( .(. 3000= =80/2 =40

. 450x803 / (12 =2.13x106= ( 3000= ( x103 /2.13x106 . (40 =28.162/

2/ 2/

. 3000

50

80


: 12 =5 2/ 355= 355S

: .2/ =355 /5 =71/ = 2/ 71=

132. " "

E 3.


14

: -1

) ( ) (= ) (

= : = :

: 1-1

) (

x= : : / ) ( : :

x= : 1-2 -) VARIGNON ( -: 1-3

: . = . = ) . (=

) : ( 2)/2= (2/. =

) (=

x=

x=


: 151-4

:

E =21x4102 /

2 / 240= =1.5 ) ( =23 4 10825= 4=

: -1 -2

: 0= 0=

0= . + + 0= x + 2/2x+ x0:

. = + 0= x -2/2x+ x0

. = + x = 2/2x1............... . = + 2.................. = 2)/x(

1 2 . + 2)/x(-= . + -=

2)/x= ( 2)/x= (

x=

-

+

+


: 16: ) ( 0= .x+ 2)/x(-= x+ -=

: 2)/x(- x=

0= 2)/x(-=

= 2)/x= (2)/x(-x= 2)/x= (0= 2)/x(- x0= 2/=

: 0=

2)/2x( x = 2/x) x( x = 2x)/x+(2)/2x(= 0= 0= 0= 0=

: 0) = ) / ( (

0= 2)/x) + ( x() = ) / ( ( 2/ =

x=

2)/x(-= 0= 2)/x= ( = 2/= 0=

0= 0= 0= =

2/=


2/= 17 0=

2x)/x+(2)/2x(= 4)/2x+(8)/2x(=

8)/2x= (8/ x) x= (8)/ x = (

: ) xE / ( - =

) E ( ) / 2)/x+(2)/2x((-= )E ( 2x\) 2( =

A =2\x ) E ( A2A= C1) + 2\2 A( )3\3A= ( C2+ C1) + 6\3A( )12\4A(=

C2 =0 0= 0= 12\4A= C1 0= =

C1 =A 12\3A =2\x ) E ( )) E ( 24\3= (

C1 :

) E ( 2x\) 12\3+ 6\3 -12\4( = 0=

E = (0 ( 2x\) 12\3+ 2\2 -3\3( = 2/=

8)/ x = (

)E 384(\45= www.beziou.co.vu

www.fb.com/lyceeaindfla

: 18: \\) . (

\ \ 8\)2x= (8\) x = (

) 2(/ 8

: /375.043

x 375.043x4x103

1.5x106:

E 4/3845= /375.043= 4x103=

4107525x104= 4107825=

E =21x4102 /

: 5.52=

)2 (/ ))8


: 19

) 2( ) 1( .

=20:

M = S = ha: 1.25M = t = hf:

M . = p) : ( e =p/2 ) =M / (2: M = t + s = h 2.25:

k = 10 ) M . k = l = b )6k >>12: :

F L x H BA -1 -2

12


e=H -203

. ) (

.)B ( h x F =M x F x 2.25=

/ = ( .( =H /2

l.H3(/12= ( 2.25=( )H . M . F (12 () /2 .l.H3(

=2.25M . F6/ )H l2(= e = H )M / (2

L =k .M 2.25=M . F6/ )2 .2M . K(

: 2.25 )M . F (6/)2 .2M . K(

:

M )2.25x24xF ) / (kx2x (

M2.34F ) /k. (F : .

: d/ F =2 F .d/2=

M3.31 ) /k .d . (

l

H


: 21

0.50.60.811.251.522.5345681012162025


1 22

b

h

bh3/12= =h/2

H

B

hb

BH3 -bh3 / (12= ( =H /2

d =d4 /64 =d/2

D

d

)D4d4 / (64= =D /2


2 23

Effort tranchantT Moment flchissantMf Contrainte de flexion

Rsistance pratiqueRp Rsistance lastiqueRe Rsistance) ( la ruptureRr Coefficient de scuritE Module dlasticitlongitudinaleEflcheyMoment quadratiqueIz Taux de charge , chargeunitairep

3

2/ :

: E

S185 )A33(290185190000S235 )E24(340235190000S275 )E28(410275190000S355 )E36(490355190000

: E

E295 )A50(470295200000E335 )A60(570335200000E360 )A70(670360200000


: 24E

C22 )XC18(410980255600210000C25 )XC25(460690285370210000C35 )XC38(570830335490210000C40 )XC42(620880355520210000C45 )XC48(660930375580210000C50 )XC50(700980395-600210000

: E

48Cr2 )38C2(600900350-550210000100Cr6 )100C6(850-1250550-850210000

13NiCr14 )14NC11(

8001450650-900210000

20NiCrMo7 )18NCD6(

8001500700-900210000

36NiCrMo )35NCD16(

10001750800-1250210000

34CrMo4 )35CD4(

700-1200500-850210000

E

X2CrNi19-11(Z3CN19-11)

440-640185

X6CrNi 19-11(Z6CNT 19-11)

490-960205

:E

EN GJL200 )FGL200(

200130100000

EN GJL400 )FGL 400(

400260140000

EN GJS 500-7 )FGS 500-7(

500320168000

EN GJS 900-2 )FGS 900-2(

900600170000

EN GJMW 400-10 )MB 400-10(

400220170000

EN GJMB 350-10 )MN 350-10(

350230170000

EN GJMB 650-3650430170000


4 25

:) . (

" " " " " "

: . " "

.

:

).2/ ( . /

:BERNOULLIJEAN ) 17481667(

.


26

:YOUGTHOMAS ) 18291773(

E .

5

- la mcanique par les problmes, rsistance des matriauxA.CAMPA , R.CHAPPERT , R.PICAND

- Mcanique , deuxime partieRENE BASQUIN


Documents

الانحناء المستوي البسيط.pdf