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)).