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DETERMINIE THE T AHP THE MOMEHT OF IN ERTIN oF THE COMPpooITE SECTION It A I"x 14" TEEL COVER PLNTE te WEL DED To THE BOTTOM OF THE I-BENM. FUR I. DEAM A-18.3 IN? Iyェ*1うろ。 IN+ „12 14

DETERMINIE THE T AHP THE MOMEHT OF IN ERTIN oF THE COMPpooITE SECTION It A I"x 14" TEEL COVER PLNTE te WEL DED To THE BOTTOM OF THE I-BENM. FUR I. DEAM A-18.3 IN? Iyェ*1うろ。 IN+ „12 14

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### Transcription with Diagram Explanation **Title**: Determining the Moment of Inertia for a Composite Section **Task**: Determine the \( \bar{y} \) and the moment of inertia (\( I \)) of the composite section if a \( 1'' \times 14'' \) steel cover plate is welded to the bottom of the I-beam. **Diagram Details**: - The diagram displays an I-beam with a steel cover plate attached to its bottom. - **Dimensions**: - The I-beam has a vertical height of 21 inches. - The cover plate has a thickness of 1 inch and a width of 14 inches. **For I-beam**: - Cross-sectional area (\( A \)) = \( 18.3 \, \text{in}^2 \) - Moment of inertia (\( I_{xx} \)) = \( 1330 \, \text{in}^4 \) This setup is a typical engineering problem involving composite sections, where the additional steel plate modifies the overall properties of the beam. Students would need to calculate the new centroid (\( \bar{y} \)) and the combined moment of inertia, considering the contribution of both the I-beam and the welded plate.
Transcribed Image Text:### Transcription with Diagram Explanation **Title**: Determining the Moment of Inertia for a Composite Section **Task**: Determine the \( \bar{y} \) and the moment of inertia (\( I \)) of the composite section if a \( 1'' \times 14'' \) steel cover plate is welded to the bottom of the I-beam. **Diagram Details**: - The diagram displays an I-beam with a steel cover plate attached to its bottom. - **Dimensions**: - The I-beam has a vertical height of 21 inches. - The cover plate has a thickness of 1 inch and a width of 14 inches. **For I-beam**: - Cross-sectional area (\( A \)) = \( 18.3 \, \text{in}^2 \) - Moment of inertia (\( I_{xx} \)) = \( 1330 \, \text{in}^4 \) This setup is a typical engineering problem involving composite sections, where the additional steel plate modifies the overall properties of the beam. Students would need to calculate the new centroid (\( \bar{y} \)) and the combined moment of inertia, considering the contribution of both the I-beam and the welded plate.
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