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Sectional Properties. Rectangle - 4 hollows

SOM-SEC-EN

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For the given cross-section, determine the specified geometric properties.

Cross-section width: 68 cm; cross-section height: 16 cm; hole diameter: 12 cm. Arrange the holes uniformly so that the distances between adjacent holes and from the outer holes to the left and right edges are equal.
Cross-sectional area, cm2
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 rectangular cross-section containing four equally spaced circular holes. Students calculate the net cross-sectional area, centroidal moments of inertia about the horizontal and vertical axes, section moduli, and radii of gyration. The exercise reinforces the analysis of composite sections by combining the properties of simple geometric shapes and applying the parallel-axis theorem. It is suitable for strength of materials, engineering mechanics, and structural design courses where accurate evaluation of section properties is essential.