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300 lb./ft. 9 ft. 600 lb./ft. 5 ft. 200 lb./ft. B 7 ft. 1000 lb.

300 lb./ft. 9 ft. 600 lb./ft. 5 ft. 200 lb./ft. B 7 ft. 1000 lb.

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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Can someone please help me to solve this problem and show all work. Calculate the reactions at each support.
The diagram represents a beam supported at two points, A and B, illustrating various loads applied to it. ### Beam Details: - **Support Points:** - Point A is supported by a triangular support, indicating a pin or hinge. - Point B is indicated as a roller support by a small circle. ### Loads on the Beam: 1. **Distributed Load:** - From Point A to B, covering a 9 ft span, there is a triangularly distributed load ranging from 0 to 300 lb/ft. - From the end of the triangular distribution to Point B (5 ft span), there is a uniform distributed load of 600 lb/ft. - Beyond Point B, spanning 7 ft, a uniform distributed load of 200 lb/ft is present. 2. **Point Load:** - A vertical force of 1000 lbs is applied directly downward at the end of the beam, beyond Point B. ### Dimensions: - **Span from Point A to Point B:** 14 ft (9 ft + 5 ft) - **Span beyond Point B:** 7 ft This setup is commonly used for analyzing beam deflection, shear forces, and moments in structural engineering.
Transcribed Image Text:The diagram represents a beam supported at two points, A and B, illustrating various loads applied to it. ### Beam Details: - **Support Points:** - Point A is supported by a triangular support, indicating a pin or hinge. - Point B is indicated as a roller support by a small circle. ### Loads on the Beam: 1. **Distributed Load:** - From Point A to B, covering a 9 ft span, there is a triangularly distributed load ranging from 0 to 300 lb/ft. - From the end of the triangular distribution to Point B (5 ft span), there is a uniform distributed load of 600 lb/ft. - Beyond Point B, spanning 7 ft, a uniform distributed load of 200 lb/ft is present. 2. **Point Load:** - A vertical force of 1000 lbs is applied directly downward at the end of the beam, beyond Point B. ### Dimensions: - **Span from Point A to Point B:** 14 ft (9 ft + 5 ft) - **Span beyond Point B:** 7 ft This setup is commonly used for analyzing beam deflection, shear forces, and moments in structural engineering.
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