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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

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

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning