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The solution must include the correct equation(s), the procedure(s), the final calculated support reaction(s) at A and D, and the unit(s). draw the shear the moment diagrams.

The solution must include the correct equation(s), the procedure(s), the final calculated support reaction(s) at A and D, and the unit(s). draw the shear the moment diagrams.

Structural Analysis
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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The solution must include the correct equation(s), the procedure(s), the final calculated support reaction(s) at A and D, and the unit(s). draw the shear the moment diagrams.

 

 

The image illustrates a mechanical system consisting of a horizontally oriented beam subjected to a load. Here is a detailed explanation: - **Beam**: The beam is supported at two points: a hinge support at point A and a roller support at point D. - **Supports**: - **Hinge Support (A)**: Positioned on the left side, this type of support allows rotation but prevents translation in any direction. - **Roller Support (D)**: Located on the right side, this support permits horizontal movement but restricts vertical movement. - **Loads**: - A downward vertical load of 10 kN is applied at point B, which is located 5 feet from the hinge support at point A. - **Dimensions**: - The beam is divided into three equal segments, each segment measuring 5 feet in length, resulting in a total beam length of 15 feet from A to D. This setup is a classic example of a statically determinate beam, allowing for the analysis of internal reactions and moments using static equilibrium equations.
Transcribed Image Text:The image illustrates a mechanical system consisting of a horizontally oriented beam subjected to a load. Here is a detailed explanation: - **Beam**: The beam is supported at two points: a hinge support at point A and a roller support at point D. - **Supports**: - **Hinge Support (A)**: Positioned on the left side, this type of support allows rotation but prevents translation in any direction. - **Roller Support (D)**: Located on the right side, this support permits horizontal movement but restricts vertical movement. - **Loads**: - A downward vertical load of 10 kN is applied at point B, which is located 5 feet from the hinge support at point A. - **Dimensions**: - The beam is divided into three equal segments, each segment measuring 5 feet in length, resulting in a total beam length of 15 feet from A to D. This setup is a classic example of a statically determinate beam, allowing for the analysis of internal reactions and moments using static equilibrium equations.
Expert Solution
Step 1

Reactions:Take moment about the point D∑ MD=0RA15-1010=0RA=6.667kEquilibrium about y∑ Fy=0RA+RD-10=0RD=3.333k

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