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Geometrical Properties of a Combined Section
SOM-455-EN
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For the given cross-section, determine the specified geometric properties and construct the ellipse of inertia.
Dimensions: a=13 cm; b=8 cm; B=25 cm; H=23 cm; D=16 cm.
Dimensions: a=13 cm; b=8 cm; B=25 cm; H=23 cm; D=16 cm.
Cross-sectional area, cm2
Coordinate of the centroid of the cross-section (distance from the left edge), cm
Moment of inertia about the centroidal horizontal axis Ix, cm4
Moment of inertia about the centroidal vertical axis Iy, cm4
Section modulus Wx, cm3
Section modulus Wy, cm3
Radius of gyration ix, cm
Radius of gyration iy, cm
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About this task
This task focuses on determining the geometric properties of a combined cross-section consisting of polygonal elements with a circular cut-out. Students calculate the cross-sectional area, locate the centroid, determine the centroidal moments of inertia, evaluate the section moduli and radii of gyration, and use the results to construct the ellipse of inertia. The exercise develops practical skills in composite area analysis, application of the parallel-axis theorem, and calculation of section properties required for strength of materials and structural design.