Determine the deflection in inches of a .75" diameter steel shaft 13" long subject to an axial force of 1600-N (E = 205-GPa) A/
Determine the deflection in inches of a .75" diameter steel shaft 13" long subject to an axial force of 1600-N (E = 205-GPa) 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
Related questions
Question
please help
![**Exercise: Calculating Deflection in a Steel Shaft under Axial Load**
**Objective:**
Determine the deflection in inches of a 0.75" diameter steel shaft that is 13" long, subject to an axial force of 1600 N. The modulus of elasticity (E) for the steel is given as 205 GPa.
**Details:**
- **Shaft Diameter (d):** 0.75 inches
- **Shaft Length (L):** 13 inches
- **Axial Force (P):** 1600 N
- **Modulus of Elasticity (E):** 205 GPa (Gigapascals)
**Procedure:**
- To find the deflection (Δ) of the steel shaft, we will use the formula for axial deformation:
\[
\Delta = \frac{{P \cdot L}}{{A \cdot E}}
\]
Where:
- \( P \) is the axial force.
- \( L \) is the length of the shaft.
- \( A \) is the cross-sectional area of the shaft.
- \( E \) is the modulus of elasticity.
- First, we need to convert all measurements to consistent units (preferably calculating the area in square meters if the force is in Newtons and modulus of elasticity in Pascals).
- Calculate the cross-sectional area (A) of the shaft:
\[
A = \pi \left( \frac{d}{2} \right)^2
\]
Convert d to meters first if required for consistent units with E in Pascals.
Box for calculations:
\[ \Delta = \frac{PL}{AE} \]
By following the outlined steps, the user should be able to accurately determine the deflection of the shaft in response to the given force.
(Note: The figure box for calculation is meant for students to input their answers or for an image showing the calculation steps if this is part of an online educational tool).
---
No diagrams or graphs are present in the provided image which would require additional explanation. This transcription can be used as a part of an educational exercise on calculating deflection in materials under load.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a28b893-91ec-4064-8fee-f9f0d1fd8200%2F297f37e0-29a0-4244-a268-d668a9a6211e%2F71jo9ki_processed.png&w=3840&q=75)
Transcribed Image Text:**Exercise: Calculating Deflection in a Steel Shaft under Axial Load**
**Objective:**
Determine the deflection in inches of a 0.75" diameter steel shaft that is 13" long, subject to an axial force of 1600 N. The modulus of elasticity (E) for the steel is given as 205 GPa.
**Details:**
- **Shaft Diameter (d):** 0.75 inches
- **Shaft Length (L):** 13 inches
- **Axial Force (P):** 1600 N
- **Modulus of Elasticity (E):** 205 GPa (Gigapascals)
**Procedure:**
- To find the deflection (Δ) of the steel shaft, we will use the formula for axial deformation:
\[
\Delta = \frac{{P \cdot L}}{{A \cdot E}}
\]
Where:
- \( P \) is the axial force.
- \( L \) is the length of the shaft.
- \( A \) is the cross-sectional area of the shaft.
- \( E \) is the modulus of elasticity.
- First, we need to convert all measurements to consistent units (preferably calculating the area in square meters if the force is in Newtons and modulus of elasticity in Pascals).
- Calculate the cross-sectional area (A) of the shaft:
\[
A = \pi \left( \frac{d}{2} \right)^2
\]
Convert d to meters first if required for consistent units with E in Pascals.
Box for calculations:
\[ \Delta = \frac{PL}{AE} \]
By following the outlined steps, the user should be able to accurately determine the deflection of the shaft in response to the given force.
(Note: The figure box for calculation is meant for students to input their answers or for an image showing the calculation steps if this is part of an online educational tool).
---
No diagrams or graphs are present in the provided image which would require additional explanation. This transcription can be used as a part of an educational exercise on calculating deflection in materials under load.
Expert Solution
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 3 steps with 1 images
Knowledge Booster
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.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY