We are given the structure of Fig. 4a. a) Calculate the deflection at point B, using the unit load method. b) The owner of the structure wants to ensure that point B does not deflect at all (that is, the vertical displacement at B must be zero). To this end, engineers come up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such that the deflection at B is zero. Calculate the value that RB must have. HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the total deflection at B (which we want to be zero) is equal to the sum of the deflection at B due to the distributed load and of the deflection at B due to RB. 2 kip/ft 2 kip/ft В В A 10 ft 10 ft |RB EI = 5.0-107 kip-in? EI = 5.0-107 kip-in? %3D %3D (a) (b) Figure 4
We are given the structure of Fig. 4a. a) Calculate the deflection at point B, using the unit load method. b) The owner of the structure wants to ensure that point B does not deflect at all (that is, the vertical displacement at B must be zero). To this end, engineers come up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such that the deflection at B is zero. Calculate the value that RB must have. HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the total deflection at B (which we want to be zero) is equal to the sum of the deflection at B due to the distributed load and of the deflection at B due to RB. 2 kip/ft 2 kip/ft В В A 10 ft 10 ft |RB EI = 5.0-107 kip-in? EI = 5.0-107 kip-in? %3D %3D (a) (b) Figure 4
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please solve part B. Part a is solved on Bartleby for reference.
![We are given the structure of Fig. 4a.
a) Calculate the deflection at point B, using the unit load method.
b) The owner of the structure wants to ensure that point B does not deflect at all
(that is, the vertical displacement at B must be zero). To this end, engineers come
up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such
that the deflection at B is zero. Calculate the value that Rg must have.
HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the
total deflection at B (which we want to be zero) is equal to the sum of the deflection
at B due to the distributed load and of the deflection at B due to RB.
2 kip/ft
2 kip/ft
B
A
A
10 ft
10 ft
RB
EI = 5.0-107 kip-in?
EI = 5.0-107 kip•in?
(a)
(b)
Figure 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1fdaa1c-db9c-48f3-803b-226267595299%2F651e0520-08a0-4695-a079-14698bb23393%2F9lt57ss_processed.png&w=3840&q=75)
Transcribed Image Text:We are given the structure of Fig. 4a.
a) Calculate the deflection at point B, using the unit load method.
b) The owner of the structure wants to ensure that point B does not deflect at all
(that is, the vertical displacement at B must be zero). To this end, engineers come
up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such
that the deflection at B is zero. Calculate the value that Rg must have.
HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the
total deflection at B (which we want to be zero) is equal to the sum of the deflection
at B due to the distributed load and of the deflection at B due to RB.
2 kip/ft
2 kip/ft
B
A
A
10 ft
10 ft
RB
EI = 5.0-107 kip-in?
EI = 5.0-107 kip•in?
(a)
(b)
Figure 4
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 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