The cantilevered tube shown in the following figure is to be made of 2014 aluminum alloy and is acted upon by external forces F, P and torque T. The bending load is F= 1.75 kN, the axial tension is P= 9.0 kN, and the torque is T= 72 N.m. If the tube has an outer diameter of (OD) 40 mm and an inner diameter (ID) of 30 mm, find all the stresses due to external loads at point A.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
icon
Concept explainers
Question
The cantilevered tube shown in the figure is to be made of 2014 aluminum alloy and is acted upon by external forces \( F \), \( P \) and torque \( T \). The bending load is \( F = 1.75 \, \text{kN} \), the axial tension is \( P = 9.0 \, \text{kN} \), and the torque is \( T = 72 \, \text{N} \cdot \text{m} \). If the tube has an outer diameter of (\( OD \)) 40 mm and an inner diameter (\( ID \)) of 30 mm, find all the stresses due to external loads at point A.

### Diagram Explanation:

- **Description**: The image is a visual representation of a cantilevered tube fixed at one end and subjected to various external forces.
- **Diagram Details**:
  - The tube is horizontal and anchored at one end to a wall.
  - A bending force \( F \) is applied perpendicular to the length of the tube at its free end.
  - Axial tension \( P \) is shown as a force applied along the length of the tube.
  - Torque \( T \) is represented by an arrow in a circular motion around the axis of the tube.
  - The length of the tube from where it is fixed to the point of force application is given as 1000 mm.
  - The external and internal diameters are indicated, allowing calculations for stress analysis at point A.

This setup is used to determine and analyze the stresses on the material at the fixed end of the tube caused by these external loads.
Transcribed Image Text:The cantilevered tube shown in the figure is to be made of 2014 aluminum alloy and is acted upon by external forces \( F \), \( P \) and torque \( T \). The bending load is \( F = 1.75 \, \text{kN} \), the axial tension is \( P = 9.0 \, \text{kN} \), and the torque is \( T = 72 \, \text{N} \cdot \text{m} \). If the tube has an outer diameter of (\( OD \)) 40 mm and an inner diameter (\( ID \)) of 30 mm, find all the stresses due to external loads at point A. ### Diagram Explanation: - **Description**: The image is a visual representation of a cantilevered tube fixed at one end and subjected to various external forces. - **Diagram Details**: - The tube is horizontal and anchored at one end to a wall. - A bending force \( F \) is applied perpendicular to the length of the tube at its free end. - Axial tension \( P \) is shown as a force applied along the length of the tube. - Torque \( T \) is represented by an arrow in a circular motion around the axis of the tube. - The length of the tube from where it is fixed to the point of force application is given as 1000 mm. - The external and internal diameters are indicated, allowing calculations for stress analysis at point A. This setup is used to determine and analyze the stresses on the material at the fixed end of the tube caused by these external loads.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Combined Loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY