Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the # and y axes shown in the figure and the z' and 3 axes with origin at the centroid. a b y y = a√bx с -C Values for dimensions on the figure are given in the following table. Note the figure may not be to scale Variable Value 4.5 in 1.2 in¹ (Note the -1 exponent only applies to the unit, not the number.) 9 in The coordinate of the centroid is in. The y coordinate of the centroid is The moment of inertia about the z axis is I₂ The moment of inertia about the y axis is Iy The moment of inertia about the z' axis going through the centroid is I The moment of inertia about the y' axis going through the centroid is Iy 030 BY NC SA 2016 Eric Davishahl in. (CC) + in*. in4. in*. in4.
Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the # and y axes shown in the figure and the z' and 3 axes with origin at the centroid. a b y y = a√bx с -C Values for dimensions on the figure are given in the following table. Note the figure may not be to scale Variable Value 4.5 in 1.2 in¹ (Note the -1 exponent only applies to the unit, not the number.) 9 in The coordinate of the centroid is in. The y coordinate of the centroid is The moment of inertia about the z axis is I₂ The moment of inertia about the y axis is Iy The moment of inertia about the z' axis going through the centroid is I The moment of inertia about the y' axis going through the centroid is Iy 030 BY NC SA 2016 Eric Davishahl in. (CC) + in*. in4. in*. in4.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of
intertia about the # and y axes shown in the figure and the z' and y' axes with origin at the centroid.
y
a
b
c
y = a√bx
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
4.5 in
1.2 in¹ (Note the -1 exponent only applies to the unit, not the number.)
9 in
coordinate of the centroid is
The
The y coordinate of the centroid is
The moment of inertia about the z axis is Iz
in4.
in4.
The moment of inertia about the y axis is Iy
The moment of inertia about the z' axis going through the centroid is IT'
The moment of inertia about the y' axis going through the centroid is ly
in.
Xx
in.
Cc+❀O
BY NC SA
2016 Eric Davishahl
in4.
in4.
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