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5 • Systèmes hyperstatiques
Géométrie et Chargement Diagramme des moments
Moments
B
C
P
a
b
A
D
M(s)
M(s)
M(s)
M A =
Pab
l
×
1
2(2 + k)
−
2b/l − 1
2(1 + 6k)
M B = −
Pab
l
×
1
2 + k
+
2b/l − 1
2(1 + 6k)
M C = −
Pab
l
×
1
2 + k
−
2b/l − 1
2(1 + 6k)
M P =
Pab
l
×
1
2(2 + k)
+
2b/l − 1
2(1 + 6k)
P
A
B
C
D
M(s)
M(s)
M(s)
M A = −
Ph
2
1 + 3k
1 + 6k
M B =
Ph
2
3k
1 + 6k
M C = −M B
M D = −M A
P
a
b
A
B
C
D
M(s)
M(s)
M(s)
a 1 =
Pab
h
1 + b/h + kb/h
2(2 + k)
a 2 =
Pab
h
(1 − b/h)k
2(2 + k)
a 3 =
3Pa(1 − b/h)k
2(1 + 6k)
M A = −a 1 −
Pa
2
+ a 3
M B = −a 2 + a 3
M C = −a 2 − a 3
M D = −a 1 +
Pa
2
− a 3