exercice rdm.pdf
Transcript of exercice rdm.pdf
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SERIE D’EXERCICES
Exercice 1.1 Exercice 1.2
Rép. : VA = 4.5 t, VB = 1.5 t Rép. : VA = 9 t, VB = 3 t
Exercice 1.3 Exercice 1.4
Rép. : VA = 3.34 t, VB= 4.66 t Rép. : VA= 8 t, VB = 16 t
Exercice 1.5 Exercice 1.6
Rép. : VA=qL/6, VB=qL/3 Rép. : VA= 1.7 t, VB= 5.8 t
F 1=9t F 3=3t
F 2=6t
B A
3m 3.5m 2.5m 1m
q=3t/m
B A
4m 4m
q=3t/m
2m6m
B
A F 1=6t F 2=2t
4m 2m2m
A B
q
A B
L
q=2t/m
F=33t B A
4.5m 2.5m 2m
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Exercice 1.7 Exercice 1.8
Rép.(ex1.7) : VA=-0.83 t, VB=2.83 t, HA=-1 t
Rép.(ex1.8) : VA=-C/(a+b), VB=C/(a+b)
Exercice 1.9 Exercice 1.10
Rép. : VA=2.6 t, VB=2.4 t Rép. : CA=-21 tm, VA=6 t
Exercice 1.11 Exercice 1.12
Rép. (ex1.11): CA=-7.5 tm, VA=5 t, HA=-1 t
Rép.(ex1.12) : VA=5.33 t, VB=0.67 t
B A
F 2=2t F 1=1t
2m 2m4m
1m A BC
ba
q=2t/m
B AC=2tm F=5t
2m 1.5m3m
A
3m 3m3m
C=6tm
F=1t
q=1t/m
5m
A
5m
4
q1=4t/m
4m
q2=2t/m
C=16tm
q=3t/m
B A
4m
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Exercice 1.13 Exercice 1.14
Rép. : VA=-3 t, VB=3 t Rép. : VA=3P/7, VB=4P/7
Exercice 1.15 Exercice 1.16
Rép.(ex.1.15) : VA=2.83 t, VB=4.67 t
Rép.(ex.1.16): VA=3.17 t, VB=3.83 t
C=6tm C=6tm
B A
l=4m
A B
2aa2a2a
P
2t/m1.5t/m1t/m
A
4m 2m2m
B
1.5t
aa=2m a/2 a/2
B A
2t
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Tracer les diagrammes de M, T et N des systèmes
représentés ci-après.
Exercice 1.17 Exercice 1.18
Exercice 1. 19 Exercice 1.20
Exercice 1.21 Exercice 1.22
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Exercice 1.23 Exercice 1.24
aa a
B A
P P
aa 2a
B A
P
P
C D
D
C
a2a=4m
B A
q=3t/m
a b
B AC
C D
A
2m2m 4m
B2t6t
1m3m 3.5m
B A9t
2.5m
6tC D
3t
EC
D
q=3t/m
2m6m
B
Aq=3t/m
5m3m
B A
6t
CC
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Exercice 1.25 Exercice 1.26
Exercice 1. 27 Exercice 1.28
Exercice 1.29
C=2tm B
3m
A
1.5m2m
5t q=2t/m
A
3m 3m3m
C=5tm
B D E E
D
q
A
a 2a
Articulation
B
a 2a
B
a
A
P
C DC
B A
F 1=10t F 2=6tq1=5t/m q2=2t/m
1 1 1 12m2m
1 2 43 5 6C=2 tm
1
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Exercice 1.30
Exercice 1.31
A
B
q1=2t/m
q2=1t/m
10t
1m
4m
4m
3m
D E
C
q2=20KN/m
q1=10KN/m
P 1=40 2 KN P 2=30KN
p=10KN/m
q4=30KN/m
M o=15KNm
B
A
q3=12KN/m
45°
5m
1.5m 3m 1m 1m
3m
F
G
E D C
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