please use tables for superposition and what equations used **Transcription:**Consider the beams shown below. The fixed supported beam \( AB \) is strengthened using the simply supported beam \( CD \) and the roller at \( F \). The roller is set in place without slack just before the load \( P \) is applied to the middle of the beam. The flexural rigidity, \( EI \), is the same for the two beams and is constant along the length of each beam.Determine the reactions at the supports, \( A \) and \( C \), and the displacement in the middle of the beam.**Diagram Explanation:**The diagram illustrates a structural setup involving two beams. The upper beam \( AB \) is a fixed supported beam, meaning it is rigidly held at both ends. Below it is a simply supported beam \( CD \), with support points at \( C \) and \( D \).- The beam \( AB \) is parallel to beam \( CD \).- There is a vertical load \( P \) applied at the midpoint of beam \( AB \).- A roller is located at point \( F \) on beam \( CD \), positioned such that it can move along the upper surface of beam \( CD \). The roller allows for horizontal movement but restricts vertical displacement.- The length of the beam \( AB \) is divided into four equal segments labeled \( \frac{L}{4} \).The task involves calculating the support reactions at points \( A \) and \( C \), as well as the vertical displacement occurring at the midpoint of beam \( AB \). This setup is commonly analyzed in structural engineering to understand the distribution of forces and deformations in beam systems.

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Answered: Determine the reactions àal the beam.…

Engineering

Civil Engineering

Determine the reactions àal the beam. P. B D C

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

please use tables for superposition and what equations used

**Transcription:**

Consider the beams shown below. The fixed supported beam \( AB \) is strengthened using the simply supported beam \( CD \) and the roller at \( F \). The roller is set in place without slack just before the load \( P \) is applied to the middle of the beam. The flexural rigidity, \( EI \), is the same for the two beams and is constant along the length of each beam.

Determine the reactions at the supports, \( A \) and \( C \), and the displacement in the middle of the beam.

**Diagram Explanation:**

The diagram illustrates a structural setup involving two beams. The upper beam \( AB \) is a fixed supported beam, meaning it is rigidly held at both ends. Below it is a simply supported beam \( CD \), with support points at \( C \) and \( D \).

- The beam \( AB \) is parallel to beam \( CD \).
- There is a vertical load \( P \) applied at the midpoint of beam \( AB \).
- A roller is located at point \( F \) on beam \( CD \), positioned such that it can move along the upper surface of beam \( CD \). The roller allows for horizontal movement but restricts vertical displacement.
- The length of the beam \( AB \) is divided into four equal segments labeled \( \frac{L}{4} \).

The task involves calculating the support reactions at points \( A \) and \( C \), as well as the vertical displacement occurring at the midpoint of beam \( AB \). This setup is commonly analyzed in structural engineering to understand the distribution of forces and deformations in beam systems.

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