For an unsymmetrical angle section, the principal axes of inertia pass through which point?
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A.
The midpoint of the shorter leg
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B.
The intersection of the legs
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C.
The centroid of the section
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D.
The midpoint of the longer leg
Correct Answer:
C. The centroid of the section
Explanation:
The correct answer is The centroid of the section.
For any unsymmetrical angle section, the principal axes of inertia are the orthogonal axes that pass through the centroid of the cross-section. These specific axes represent the directions where the product of inertia is zero, and they correspond to the maximum and minimum moments of inertia for the shape. Since the centroid serves as the geometric center where the entire area of the section is balanced, it acts as the origin for these fundamental structural axes. Identifying these axes is essential in structural engineering to accurately calculate bending stresses and determine the orientation of the strongest and weakest planes of the member.
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