Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
Using: Conjugate beam method and Considering the beam provided. If EI = 200000 kNm^2? Determine the difference in elevation between the highest and lowest point of the loaded beam.

Using: Conjugate beam method and Considering the beam provided. If EI = 200000 kNm^2? Determine the difference in elevation between the highest and lowest point of the loaded beam.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Using: Conjugate beam method and Considering the beam provided. If EI = 200000 kNm^2? Determine the difference in elevation between the highest and lowest point of the loaded beam.
### Structural Analysis Diagram The diagram above represents a structural beam subjected to various loads and support conditions. This illustration is essential for understanding how forces and moments are distributed throughout the beam. **Description of the Diagram:** 1. **Supports and Hinges:** - **Point A:** Fixed support providing both vertical and horizontal reactions. - **Points C and E:** Hinges, allowing rotation but not translation. - **Point F and G:** Simple supports, each providing a vertical reaction only. 2. **Loads:** - **Point Loads:** - At point B: a downward force of 6 kN. - At point C: a downward force of 2 kN. - At point D: a downward force of 6 kN. - **Distributed Load:** - Between points F and G: a uniformly distributed load of 2 kN/m over a length of 6 m. 3. **Dimensions:** - Distance from A to B: 2 meters. - Distance from B to C: 2 meters. - Distance from C to D: 1 meter. - Distance from D to E: 1 meter. - Distance from E to F: 2 meters. - Distance from F to G: 6 meters. ### Analysis Considerations #### Support Reactions: - The fixed support at A will have both vertical and horizontal reactions, as well as a moment reaction due to its ability to restrain rotation. - Hinges at points C and E will resist forces perpendicular to the beam but will allow rotational movement. - Simple supports at points F and G will provide vertical reactions only. #### Load Effects: - The point loads at B, C, and D create concentrated forces resulting in shear forces and bending moments at those points. - The distributed load between F and G creates a consistent influence over that section, contributing to the internal shear and moment along its length. ### Application: This type of structural analysis is pertinent for civil and structural engineering students and professionals to understand: - How different types of loads affect a beam. - How support reactions are calculated. - How moments and shear forces are distributed along the beam's length. By analyzing this beam, engineers can ensure that the structural design is sound and capable of withstanding the expected loads without failure.
Transcribed Image Text:### Structural Analysis Diagram The diagram above represents a structural beam subjected to various loads and support conditions. This illustration is essential for understanding how forces and moments are distributed throughout the beam. **Description of the Diagram:** 1. **Supports and Hinges:** - **Point A:** Fixed support providing both vertical and horizontal reactions. - **Points C and E:** Hinges, allowing rotation but not translation. - **Point F and G:** Simple supports, each providing a vertical reaction only. 2. **Loads:** - **Point Loads:** - At point B: a downward force of 6 kN. - At point C: a downward force of 2 kN. - At point D: a downward force of 6 kN. - **Distributed Load:** - Between points F and G: a uniformly distributed load of 2 kN/m over a length of 6 m. 3. **Dimensions:** - Distance from A to B: 2 meters. - Distance from B to C: 2 meters. - Distance from C to D: 1 meter. - Distance from D to E: 1 meter. - Distance from E to F: 2 meters. - Distance from F to G: 6 meters. ### Analysis Considerations #### Support Reactions: - The fixed support at A will have both vertical and horizontal reactions, as well as a moment reaction due to its ability to restrain rotation. - Hinges at points C and E will resist forces perpendicular to the beam but will allow rotational movement. - Simple supports at points F and G will provide vertical reactions only. #### Load Effects: - The point loads at B, C, and D create concentrated forces resulting in shear forces and bending moments at those points. - The distributed load between F and G creates a consistent influence over that section, contributing to the internal shear and moment along its length. ### Application: This type of structural analysis is pertinent for civil and structural engineering students and professionals to understand: - How different types of loads affect a beam. - How support reactions are calculated. - How moments and shear forces are distributed along the beam's length. By analyzing this beam, engineers can ensure that the structural design is sound and capable of withstanding the expected loads without failure.
Expert Solution
steps

Step by step

Solved in 8 steps with 15 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Beams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
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
SEE MORE TEXTBOOKS