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Determine the reactions at A for the cantilever beam subjected to the distributed and concentrated loads. 3.0 kN 6.0 kN/m L--x A -2.3 m -1.1 m 1.1 m

Determine the reactions at A for the cantilever beam subjected to the distributed and concentrated loads. 3.0 kN 6.0 kN/m L--x A -2.3 m -1.1 m 1.1 m

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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**Problem Statement:** Determine the reactions at A for the cantilever beam subjected to the distributed and concentrated loads. **Diagram Explanation:** 1. **Cantilever Beam Description:** - The beam is fixed at point A and extends horizontally. 2. **Loads Applied:** - There is a triangular distributed load starting from zero at the free end and increasing to \(6.0 \, \text{kN/m}\) at the fixed end A, over a length of \(2.3 \, \text{m}\). - A concentrated load of \(3.0 \, \text{kN}\) acts downward, \(2.3 \, \text{m}\) from the fixed support A, and \(1.1 \, \text{m}\) from the right edge of the beam. 3. **Dimensions:** - From A to the point where the concentrated load is applied is \(2.3 \, \text{m}\). - The remainder of the beam is divided into two equal segments of \(1.1 \, \text{m}\) each. 4. **Coordinate System:** - The positive x-axis extends horizontally along the beam from left to right. - The positive y-axis extends vertically upwards. The task is to calculate the reactions at the fixed support A, considering both the distributed and concentrated loads.
Transcribed Image Text:**Problem Statement:** Determine the reactions at A for the cantilever beam subjected to the distributed and concentrated loads. **Diagram Explanation:** 1. **Cantilever Beam Description:** - The beam is fixed at point A and extends horizontally. 2. **Loads Applied:** - There is a triangular distributed load starting from zero at the free end and increasing to \(6.0 \, \text{kN/m}\) at the fixed end A, over a length of \(2.3 \, \text{m}\). - A concentrated load of \(3.0 \, \text{kN}\) acts downward, \(2.3 \, \text{m}\) from the fixed support A, and \(1.1 \, \text{m}\) from the right edge of the beam. 3. **Dimensions:** - From A to the point where the concentrated load is applied is \(2.3 \, \text{m}\). - The remainder of the beam is divided into two equal segments of \(1.1 \, \text{m}\) each. 4. **Coordinate System:** - The positive x-axis extends horizontally along the beam from left to right. - The positive y-axis extends vertically upwards. The task is to calculate the reactions at the fixed support A, considering both the distributed and concentrated loads.
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