The L 80 × 60 × 10 -mm structural angle has the following cross-sectional properties: I x = 0.808 × 10 6 mm 4 , I y = 0.388 × 10 6 mm 4 , and I 2 = 0.213 × 10 6 mm 4 , where I 2 is a centroidal principal moment of inertia. Assuming that I x y is negative, compute (a) I 1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.
The L 80 × 60 × 10 -mm structural angle has the following cross-sectional properties: I x = 0.808 × 10 6 mm 4 , I y = 0.388 × 10 6 mm 4 , and I 2 = 0.213 × 10 6 mm 4 , where I 2 is a centroidal principal moment of inertia. Assuming that I x y is negative, compute (a) I 1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.
The
L
80
×
60
×
10
-mm
structural angle has the following cross-sectional properties:
I
x
=
0.808
×
10
6
mm
4
,
I
y
=
0.388
×
10
6
mm
4
,
and
I
2
=
0.213
×
10
6
mm
4
,
where
I
2
is a centroidal principal moment of inertia. Assuming that
I
x
y
is negative, compute (a)
I
1
(the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.
For a beam with the cross-section shown, calculate the moment of inertia about the z axis.
Assume the following dimensions:
by-83mm
h₂ = 15 mm
by 9 mm
b₂-72 mm
by-35 mm
h-24 mm
The centroid of the section is located 65 mm above the bottom surface of the beam.
M₂
H
Answer:
mm
by
An area is composed of the parabola y = x2 /200 and the line y = 200. Compute the moment of inertia about the horizontal axis that passes through the centroid of this area. (Centroidal x-axis) a. 914285714 u^4 b. 1682285714 u^4 c. 73142857 u^4 d. 146285714 u^4
Determine the centroid of the given figure.
120 mm
60 mm
40 mm
80 mm
60 mm
O x = 55.45 mm and y = 35.65 mm
%3D
O x = 53.70 mm and y = 37.70 mm
O x = 56.83 mm and y = 37.62 mm
O x =
= 54.10 mm and y = 36.30 mm
O x = 53.56 mm and y = 35.63 mm
O x = 56.80 mm and y = 37.10 mm
O x = 55.76 mm and y = 36.65 mm
O x = 54.80 mm and y = 36.60 mm
Chapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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