Using the equilibrium method (write equations), draw the influence lines for the following response functions for the beam shown below. (a) the vertical reaction at B (b) the shear just to the right of the rocker at A (c) the moment at C 6 ft 6 ft 6 ft
Using the equilibrium method (write equations), draw the influence lines for the following response functions for the beam shown below. (a) the vertical reaction at B (b) the shear just to the right of the rocker at A (c) the moment at C 6 ft 6 ft 6 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Problem 5**
Using the **equilibrium method** (write equations), draw the influence lines for the following response functions for the beam shown below.
(a) the vertical reaction at B
(b) the shear just to the right of the rocker at A
(c) the moment at C
**Diagram:**
- The diagram shows a simply supported beam with length divided into three equal sections of 6 feet each.
- Supports:
- There is a pin support at point A (left end).
- There is a rocker support at point B (right end).
- The points on the beam are labeled as follows:
- Point A is at the left end of the beam.
- Point B is at the right end of the beam.
- Point C is located in the middle of the beam, 6 feet from either support (A and B).
**Dimensions:**
- The beam is divided into segments of equal lengths of 6 feet each.
- The distance between supports A and B is 12 feet, with point C located at the midpoint.
**Tasks:**
- **(a) Vertical reaction at B:** Determine the influence line for the vertical reaction at support B.
- **(b) Shear just to the right of the rocker at A:** Determine the influence line for the shear force just to the right of point A.
- **(c) Moment at C:** Determine the influence line for the moment at the midpoint (C) of the beam.
The aim is to plot the graphical representation of the influence lines for the vertical reaction at B, the shear just to the right of the rocker at A, and the moment at C, based on equilibrium equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf5aa2e5-f0b0-4839-a4ef-6f98d6dc8551%2F38729d6b-654a-4156-aea9-a4d07e4a1b39%2Fq7vc58_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5**
Using the **equilibrium method** (write equations), draw the influence lines for the following response functions for the beam shown below.
(a) the vertical reaction at B
(b) the shear just to the right of the rocker at A
(c) the moment at C
**Diagram:**
- The diagram shows a simply supported beam with length divided into three equal sections of 6 feet each.
- Supports:
- There is a pin support at point A (left end).
- There is a rocker support at point B (right end).
- The points on the beam are labeled as follows:
- Point A is at the left end of the beam.
- Point B is at the right end of the beam.
- Point C is located in the middle of the beam, 6 feet from either support (A and B).
**Dimensions:**
- The beam is divided into segments of equal lengths of 6 feet each.
- The distance between supports A and B is 12 feet, with point C located at the midpoint.
**Tasks:**
- **(a) Vertical reaction at B:** Determine the influence line for the vertical reaction at support B.
- **(b) Shear just to the right of the rocker at A:** Determine the influence line for the shear force just to the right of point A.
- **(c) Moment at C:** Determine the influence line for the moment at the midpoint (C) of the beam.
The aim is to plot the graphical representation of the influence lines for the vertical reaction at B, the shear just to the right of the rocker at A, and the moment at C, based on equilibrium equations.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning