and the radius of gyration of the shaded
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Problem -09Moment of InertiaDetermine the moment of inertia and the radius of gyration of the shaded area (Fig -9) with respect to the x-axis.
Transcribed Image Text:### Figure 9: Detailed Diagram of an I-Beam Section
The image above is a detailed diagram of an I-beam section with various dimensions labeled.
- The I-beam is symmetrical about both the \( x \)-axis and \( y \)-axis, with the origin point \( O \) located at the intersection of these axes.
- The outer width of the top and bottom flanges of the I-beam is 48 mm, consisting of two segments of 24 mm each side from the centerline.
- The height of both the top and bottom flanges is 6 mm.
- The height of the web (the vertical section connecting the flanges) from the bottom of the flange to the centerline is 24 mm, making the total web height 48 mm from the bottom of the bottom flange to the top of the top flange.
- The width of the web is 8 mm.
- Each flange extends 12 mm outward from the 8 mm wide vertical web.
This diagram helps in understanding the geometric properties of an I-beam, which is crucial for structural analysis purposes such as calculating moments of inertia, stress distribution, and overall stability in construction and engineering fields.
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