The assembly shown in the figure consists of an aluminum tube AB and a steel rod BC. The rod is attached to the tube through the rigid collar at B and passes through the tube. The cross-sectional area of the rod is 75 mm2 and the cross-sectional area of the tube is 400 + UV in mm2, where UV is 99. A tensile load of 80 kN is applied to the rod. Take Est = 200 GPa for the steel rod, Eal = 70 GPa for the aluminum tube. Determine: (a) the displacement of end C with respect to end B (i.e., the elongation of the steel rod), (b) the displacement of end B with respect to the fixed end A (i.e., the shrink of the aluminum tube), (c) the displacement of the end C of the rod (i.e., (a) + (b)
The assembly shown in the figure consists of an aluminum tube AB and a steel rod BC. The rod is attached to the tube through the rigid collar at B and passes through the tube. The cross-sectional area of the rod is 75 mm2 and the cross-sectional area of the tube is 400 + UV in mm2, where UV is 99. A tensile load of 80 kN is applied to the rod. Take Est = 200 GPa for the steel rod, Eal = 70 GPa for the aluminum tube. Determine: (a) the displacement of end C with respect to end B (i.e., the elongation of the steel rod), (b) the displacement of end B with respect to the fixed end A (i.e., the shrink of the aluminum tube), (c) the displacement of the end C of the rod (i.e., (a) + (b)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
The assembly shown in the figure consists of an aluminum tube AB and a steel rod BC. The rod is attached to the tube through the rigid collar at B and passes through the tube. The cross-sectional area of the rod is 75 mm2 and the cross-sectional area of the tube is 400 + UV in mm2, where UV is 99. A tensile load of 80 kN is applied to the rod. Take Est = 200 GPa for the steel rod, Eal = 70 GPa for the aluminum tube. Determine: (a) the displacement of end C with respect to end B (i.e., the elongation of the steel rod), (b) the displacement of end B with respect to the fixed end A (i.e., the shrink of the aluminum tube), (c) the displacement of the end C of the rod (i.e., (a) + (b)).
![B
400 mm
600 mm-
A
C
80 kN]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4a3acae-9f45-4bb1-bbe7-e78aee69ae01%2Fbc332351-ab93-43fa-ba2e-dc6728876d87%2Fqv2qwpu_processed.png&w=3840&q=75)
Transcribed Image Text:B
400 mm
600 mm-
A
C
80 kN]
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 4 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