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4.32 Calculate the reactions at each support for the beam shown. Neglect the weight of the beam. Problem 4.32 3 kN 4 m A 900 N/m 6 m B

4.32 Calculate the reactions at each support for the beam shown. Neglect the weight of the beam. Problem 4.32 3 kN 4 m A 900 N/m 6 m B

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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Answer is RA = 12.50 KN and RB = 0.50 KN
# Problem 4.32: Beam Reaction Calculation **Objective:** Calculate the reactions at each support for the beam shown. Neglect the weight of the beam. **Problem Description:** - A beam is subjected to a point load and a uniform distributed load. - A point load of \(3 \, \text{kN}\) is applied at the left end of the beam. - A uniform distributed load of \(900 \, \text{N/m}\) is applied over the entire length of the beam. **Beam Configuration:** - **Support A**: - Located 4 meters from the left end. - Shown as a triangular support. - **Support B**: - Located 10 meters from the left end (6 meters from Support A). - Shown as a circular support. **Dimensions:** - Distance from the left end to Support A is 4 meters. - Distance between Support A and Support B is 6 meters. ### Diagram Explanation - The beam is horizontal, with downward arrows indicating the applied loads. - The point load is represented by a single downward arrow labeled \(3 \, \text{kN}\). - The uniform distributed load is represented by multiple downward arrows evenly spaced along the beam. - Supports are indicated by symbols beneath the beam: a triangle for a fixed support at A and a circle for a roller support at B. Given this setup, determine the reactions at supports A and B.
Transcribed Image Text:# Problem 4.32: Beam Reaction Calculation **Objective:** Calculate the reactions at each support for the beam shown. Neglect the weight of the beam. **Problem Description:** - A beam is subjected to a point load and a uniform distributed load. - A point load of \(3 \, \text{kN}\) is applied at the left end of the beam. - A uniform distributed load of \(900 \, \text{N/m}\) is applied over the entire length of the beam. **Beam Configuration:** - **Support A**: - Located 4 meters from the left end. - Shown as a triangular support. - **Support B**: - Located 10 meters from the left end (6 meters from Support A). - Shown as a circular support. **Dimensions:** - Distance from the left end to Support A is 4 meters. - Distance between Support A and Support B is 6 meters. ### Diagram Explanation - The beam is horizontal, with downward arrows indicating the applied loads. - The point load is represented by a single downward arrow labeled \(3 \, \text{kN}\). - The uniform distributed load is represented by multiple downward arrows evenly spaced along the beam. - Supports are indicated by symbols beneath the beam: a triangle for a fixed support at A and a circle for a roller support at B. Given this setup, determine the reactions at supports A and B.
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