2 SEZIONI COMPATTE
G
xG
yGy
x
h
b
A = bh, xG =12b, yG =
12h;
IxGxG=
112
bh3, IyGyG=
112
b3h, IxGyG= 0;
Ixx =13bh3, Iyy =
13b3h, Ixy =
14b2h2.
GxG
yG
xb
h
yA =
12bh, xG =
13b, yG =
13h;
IxGxG=
136
bh3, IyGyG=
136
b3h, IxGyG= − 1
72b2h2;
Ixx =112
bh3, Iyy =112
b3h, Ixy =124
b2h2.
Gx, xG
y, yG
2a
2b
x2
a2
y2
b21
A = πab, xG = 0, yG = 0;
IxGxG = Ixx =π
4ab3, IyGyG = Iyy =
π
4a3b, IxGyG = Ixy = 0.
xb
G
2a
xG
y, yGx2
a2
y2
b21 A =
π
2ab, xG = 0, yG =
43π
b;
IxGxG =(
π
8− 8
9π
)ab3, IyGyG =
π
8a3b, IxGyG = 0;
Ixx =π
8ab3, Iyy =
π
8a3b, Ixy = 0.
x2
a2
y2
b21
xG
a
xG
y
b
yG A =π
4ab, xG =
43π
a, yG =43π
b;
IxGxG=
(π
16− 4
9π
)ab3, IyGyG
=(
π
16− 4
9π
)a3b, IxGyG
= −(
49π
− 18
)a2b2;
Ixx =π
16ab3, Iyy =
π
16a3b, Ixy =
18a2b2.
G
xG
y, yG
2a
b
x
y b2 x2
a
A =43ab, xG = 0, yG =
35b;
IxGxG =16175
ab3, IyGyG =415
a3b, IxGyG = 0;
Ixx =47ab3, Iyy =
415
a3b, Ixy = 0.
2 R2
y
R1 x1
A =12(R2
2 −R21)(ϑ2 − ϑ1);
Sx =13(R3
2 −R31)(− cos ϑ2 + cosϑ1), Sy =
13(R3
2 −R31)(sinϑ2 − sin ϑ1);
Ixx =18(R4
2 −R41)(ϑ2 − ϑ1 − sinϑ2 cos ϑ2 + sin ϑ1 cosϑ1),
Iyy =18(R4
2 −R41)(ϑ2 − ϑ1 + sin ϑ2 cosϑ2 − sin ϑ1 cos ϑ1),
Ixy =116
(R42 −R4
1)(− cos(2ϑ2) + cos(2ϑ1)).
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