Problem 4: (- ) For the given cross-sectional area (please consider the filled area with color); (a) Locate the centroid (x =?,y =?). (b) Determine the moment of inertia about the x-axis. (I = ?). (c) Determine the moment of inertia about the centroidal axis of the cross-sectional area (I = ?). Hint For a rectangular area, the moments of inertia about the centroidal axes u and v are: bh3 12 10 30 10 1 I, = 12 10 40 C: Centroid of the rectangle 50 All dimensions are in mm's.
Problem 4: (- ) For the given cross-sectional area (please consider the filled area with color); (a) Locate the centroid (x =?,y =?). (b) Determine the moment of inertia about the x-axis. (I = ?). (c) Determine the moment of inertia about the centroidal axis of the cross-sectional area (I = ?). Hint For a rectangular area, the moments of inertia about the centroidal axes u and v are: bh3 12 10 30 10 1 I, = 12 10 40 C: Centroid of the rectangle 50 All dimensions are in mm's.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![Problem 4: -
) For the given cross-sectional area (please consider the filled area with color);
(a) Locate the centroid (x =?,y =? ).
(b) Determine the moment of inertia about the x-axis. (I, = ?).
(c) Determine the moment of inertia about the centroidal axis of the cross-sectional area (I = ?).
Hint
y
For a rectangular area, the moments of inertia
about the centroidal axes u and v are:
1
I = bh?
12
10
30
10
1
hb3
12
10
y'
40
C: Centroid of the rectangle
50
y
All dimensions are in mm's.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F891aba94-685c-4618-861a-96f581abb888%2F16f5308b-f350-4dbf-9fb3-93f6876da13d%2Fqort4s6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4: -
) For the given cross-sectional area (please consider the filled area with color);
(a) Locate the centroid (x =?,y =? ).
(b) Determine the moment of inertia about the x-axis. (I, = ?).
(c) Determine the moment of inertia about the centroidal axis of the cross-sectional area (I = ?).
Hint
y
For a rectangular area, the moments of inertia
about the centroidal axes u and v are:
1
I = bh?
12
10
30
10
1
hb3
12
10
y'
40
C: Centroid of the rectangle
50
y
All dimensions are in mm's.
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