QUESTION 1 The following beam is simply supported, the support at A is a pin and B is a roller. The concentrated load of 40 N is located in the center of the beam. What are the boundary conditions you would use to determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Question 1**

The following beam is simply supported, with the support at A as a pin and B as a roller. The concentrated load of 40 N is located in the center of the beam. What are the boundary conditions you would use to determine the equation of the elastic curve for the beam using the x coordinate that is valid for \(0 \leq x \leq L\)? Provide the values you would use in the equations.

**Diagram Explanation:**

The diagram shows a horizontal beam labeled from point A to point B. 

- Point A has a support depicted as a triangle, indicating a pin support allowing rotation but not translation.
- Point B has a circular support, indicating a roller support allowing both rotation and horizontal translation.
- A concentrated downward force of 40 N is shown at the center of the beam.
- The length of the beam is marked as \(L\), and a variable \(x\) indicates a point along the beam's length from A.

The diagram serves to provide a visual representation of the beam configuration described in the question.
Transcribed Image Text:**Question 1** The following beam is simply supported, with the support at A as a pin and B as a roller. The concentrated load of 40 N is located in the center of the beam. What are the boundary conditions you would use to determine the equation of the elastic curve for the beam using the x coordinate that is valid for \(0 \leq x \leq L\)? Provide the values you would use in the equations. **Diagram Explanation:** The diagram shows a horizontal beam labeled from point A to point B. - Point A has a support depicted as a triangle, indicating a pin support allowing rotation but not translation. - Point B has a circular support, indicating a roller support allowing both rotation and horizontal translation. - A concentrated downward force of 40 N is shown at the center of the beam. - The length of the beam is marked as \(L\), and a variable \(x\) indicates a point along the beam's length from A. The diagram serves to provide a visual representation of the beam configuration described in the question.
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