2. For the shaded area shown, determine a. The location of its centroid b. The moment of inertia and radius of gyration with respect to its centroidal x - axis c. The moment of inertia and radius of gyration with respect to its centroidal y - axis
2. For the shaded area shown, determine a. The location of its centroid b. The moment of inertia and radius of gyration with respect to its centroidal x - axis c. The moment of inertia and radius of gyration with respect to its centroidal y - axis
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Table 16.1
Moment of Inertia of Common Shapes
Shape
Moment of Inertia
Radius of Gyration
Rectangle
bh3
12
bh3
I,
12
h
k, =
V3
h
b
Triangle
bh
V18
h
kz
36
bh3
12
Circle
4
J =
2
Semicircle
I, =I,
k, - k, -5
%3D
%3D
8.
2
Ī, = 0.11r
= 0.264r
Quarter circle
I, = I,
k, =
%3D
16
Ī, =Ï,=0.055rª
k = ky = 0.264r

Transcribed Image Text:2. For the shaded area shown, determine
a. The location of its centroid
b. The moment of inertia and radius of gyration with
respect to its centroidal x - axis
c. The moment of inertia and radius of gyration with
respect to its centroidal y - axis
160
mm
| 40 mm
200
mm
40
mm
1 40 mm
120
mm
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