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Problem 1. Determine the reactions present at the pin A and roller B required for equilibrium of the beam. (Final Answers should be  FBD: Ay = 2230 N, Ax = 0, B = 2170 N

Problem 1. Determine the reactions present at the pin A and roller B required for equilibrium of the beam. (Final Answers should be  FBD: Ay = 2230 N, Ax = 0, B = 2170 N

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
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Problem 1. Determine the reactions present at the pin A and roller B required for equilibrium of the beam.

(Final Answers should be  FBD: Ay = 2230 N, Ax = 0, B = 2170 N

 

**Problem 1**: Determine the reactions present at pin A and roller B required for the equilibrium of the beam. (Final Answers – signs depend on FBD: Ay = 2230 N, Ax = 0, B = 2170 N) --- ### Diagram Explanation: This is a simply supported beam with a length of 8 meters in total. It is supported by a pin at point A and a roller at point B. - **Pin at A**: Restrains movement in both horizontal and vertical directions. - **Roller at B**: Restrains movement only in the vertical direction. #### Load Distribution: - There is a uniformly distributed load (UDL) that starts at 800 N/m at point A and linearly decreases to 400 N/m near the right end. This load is applied over a span of 6 meters. - At the end, near point B, there is a horizontal segment of 2 meters without any load variation. #### Reaction Forces: - **Ay**: The vertical reaction at pin A, calculated to be 2230 N. - **Ax**: The horizontal reaction at pin A, which is 0 N since no horizontal loads are applied. - **B**: The vertical reaction at roller B, calculated to be 2170 N. This setup ensures that the beam is in equilibrium under the given load conditions.
Transcribed Image Text:**Problem 1**: Determine the reactions present at pin A and roller B required for the equilibrium of the beam. (Final Answers – signs depend on FBD: Ay = 2230 N, Ax = 0, B = 2170 N) --- ### Diagram Explanation: This is a simply supported beam with a length of 8 meters in total. It is supported by a pin at point A and a roller at point B. - **Pin at A**: Restrains movement in both horizontal and vertical directions. - **Roller at B**: Restrains movement only in the vertical direction. #### Load Distribution: - There is a uniformly distributed load (UDL) that starts at 800 N/m at point A and linearly decreases to 400 N/m near the right end. This load is applied over a span of 6 meters. - At the end, near point B, there is a horizontal segment of 2 meters without any load variation. #### Reaction Forces: - **Ay**: The vertical reaction at pin A, calculated to be 2230 N. - **Ax**: The horizontal reaction at pin A, which is 0 N since no horizontal loads are applied. - **B**: The vertical reaction at roller B, calculated to be 2170 N. This setup ensures that the beam is in equilibrium under the given load conditions.
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