To form a reinforced box section, two rolled \( W \) sections and two plates are welded together. Determine the moments of inertia and the radii of gyration of the combined section with respect to the centroidal axes shown. Consider \( w = 6.25 \, \text{mm} \).### Diagram DescriptionThe diagram shows a reinforced box section comprising two rolled \( W \) sections with a notation of \( W200 \times 46.1 \). A vertical axis \( y \) and a horizontal axis \( x \) are shown intersecting at the centroid \( C \). The width of the section is labeled as \( 203 \, \text{mm} \). The thickness \( w \) of the welded plates is noted to be \( 6.25 \, \text{mm} \).### Calculations#### Moment of Inertia- The moment of inertia \( \bar{I}_x \) with respect to the \( x \)-axis: \[ \bar{I}_x = \boxed{} \times 10^6 \, \text{mm}^4 \]- The moment of inertia \( \bar{I}_y \) with respect to the \( y \)-axis: \[ \bar{I}_y = \boxed{} \times 10^6 \, \text{mm}^4 \]#### Radii of Gyration- The radii of gyration \( \bar{k}_x \) with respect to the \( x \)-axis: \[ \bar{k}_x = \boxed{} \, \text{mm} \]- The radii of gyration \( \bar{k}_y \) with respect to the \( y \)-axis: \[ \bar{k}_y = \boxed{} \, \text{mm} \]

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To form a reinforced box section, two rolled W sections and two plates are welded together. Determine the moments of inertia and the radii of gyration of the combined section with respect to the centroidal axes shown. Consider w= 6.25 mm. W200 × 46.1 203 mm- The moment of inertia I, is 106 mm4. The radii of gyration kx is mm. The moment of inertia I, is 106 mmª. The radii of gyration ky is mm.

To form a reinforced box section, two rolled W sections and two plates are welded together. Determine the moments of inertia and the radii of gyration of the combined section with respect to the centroidal axes shown. Consider w= 6.25 mm. W200 × 46.1 203 mm- The moment of inertia I, is 106 mm4. The radii of gyration kx is mm. The moment of inertia I, is 106 mmª. The radii of gyration ky is mm.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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