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Consider the given beam and loading, where P=1.6 kips. Take the section modulus as 1.67 in 3. ܝܐ ܐ ܝܐ A 10.8 kips a C P kips D 1.5 ft 1.2 kips E 1.2 ft 0.9 ft B I S3 X 5.7

Consider the given beam and loading, where P=1.6 kips. Take the section modulus as 1.67 in 3. ܝܐ ܐ ܝܐ A 10.8 kips a C P kips D 1.5 ft 1.2 kips E 1.2 ft 0.9 ft B I S3 X 5.7

Elements Of Electromagnetics
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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Determine (a) the distance a for which the absolute value of the bending moment in the beam is as small as possible, (b) the corresponding moximum normal stress due to bending.

### Beam Loading Analysis **Introduction:** Consider the given beam and loading configuration, where the applied load \( P = 1.6 \) kips. For this analysis, the section modulus is given as \( 1.67 \, \text{in}^3 \). **Diagram Explanation:** - The diagram shows a horizontal beam supported by two supports: one is a triangular support (at C) on the left and the other is a roller support (at E) on the right. - There are three vertical loads acting on the beam at points A, D, and E: - \( 0.8 \) kips at point A. - \( P \) kips (which is \( 1.6 \) kips) at point D. - \( 1.2 \) kips at point E. - The distances between points on the beam are as follows: - Distance \( a \) from A to C. - \( 1.5 \) ft between points C and D. - \( 1.2 \) ft between points D and E. - \( 0.9 \) ft between points E and B. - The cross-section of the beam is represented as "S3 x 5.7", indicating the specific size and weight of the I-beam used. **Key Points:** - **Section Modulus:** An important factor in determining the strength and performance of the beam under loading. - **Support Reactions:** Calculate the reactions at supports C and E to ensure static equilibrium of the beam. - **Analysis Objective:** Understanding how the beam will behave under the given load to ensure safe design and support placement. This explanation and diagram can be used as a reference for structural analysis and design of beams in building construction or mechanical systems.
Transcribed Image Text:### Beam Loading Analysis **Introduction:** Consider the given beam and loading configuration, where the applied load \( P = 1.6 \) kips. For this analysis, the section modulus is given as \( 1.67 \, \text{in}^3 \). **Diagram Explanation:** - The diagram shows a horizontal beam supported by two supports: one is a triangular support (at C) on the left and the other is a roller support (at E) on the right. - There are three vertical loads acting on the beam at points A, D, and E: - \( 0.8 \) kips at point A. - \( P \) kips (which is \( 1.6 \) kips) at point D. - \( 1.2 \) kips at point E. - The distances between points on the beam are as follows: - Distance \( a \) from A to C. - \( 1.5 \) ft between points C and D. - \( 1.2 \) ft between points D and E. - \( 0.9 \) ft between points E and B. - The cross-section of the beam is represented as "S3 x 5.7", indicating the specific size and weight of the I-beam used. **Key Points:** - **Section Modulus:** An important factor in determining the strength and performance of the beam under loading. - **Support Reactions:** Calculate the reactions at supports C and E to ensure static equilibrium of the beam. - **Analysis Objective:** Understanding how the beam will behave under the given load to ensure safe design and support placement. This explanation and diagram can be used as a reference for structural analysis and design of beams in building construction or mechanical systems.
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