75t 1) ve1ERMINEe dRoss.SECTIOMN ARE, A-T244 4. 2) DETERMiale THE ANERAAE TEASsILE 5TRES, GANE 3) OETERMILIE THE ELoieeA TION Of THE SOLIO PIPE AL- PL, es 29 000 ka E 4) Oe TERMING THE AXIAL TEAIN, E =

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Analysis of a Solid Pipe Under Tension

**Diagram Description:**
The diagram shows a 3/4 inch solid pipe subjected to a tensile force of 75 kips on both ends. The pipe's length is denoted as \( L = 96.5 \, \text{inches} \).

**Calculations:**

1. **Determine Cross-sectional Area, \( A \):**
   - Formula: \( A = \frac{\pi d^2}{4} \)
   - This calculates the area of the cross-section of the pipe using its diameter.

2. **Determine the Average Tensile Stress, \( \sigma_{\text{ave}} \):**
   - Use the relation of force over area to find the stress.

3. **Determine the Elongation of the Solid Pipe:**
   - Use the formula \( \Delta L = \frac{PL}{AE} \)
   - \( E = 29,000 \, \text{ksi} \) (Elasticity modulus of the material)

4. **Determine the Axial Strain, \( \epsilon \):**
   - Formula: \( \epsilon = \frac{\Delta L}{L} \)
   - This represents the deformation per unit length of the pipe.

**Table of Dimensions:**

- \( d \)
- \(\frac{d}{4}\)
- \(\frac{d}{4}\)
- \(\frac{d}{16}\)

These notes are a guide for determining critical mechanical properties and behaviors of materials under tension, specifically for a solid cylindrical pipe.
Transcribed Image Text:### Analysis of a Solid Pipe Under Tension **Diagram Description:** The diagram shows a 3/4 inch solid pipe subjected to a tensile force of 75 kips on both ends. The pipe's length is denoted as \( L = 96.5 \, \text{inches} \). **Calculations:** 1. **Determine Cross-sectional Area, \( A \):** - Formula: \( A = \frac{\pi d^2}{4} \) - This calculates the area of the cross-section of the pipe using its diameter. 2. **Determine the Average Tensile Stress, \( \sigma_{\text{ave}} \):** - Use the relation of force over area to find the stress. 3. **Determine the Elongation of the Solid Pipe:** - Use the formula \( \Delta L = \frac{PL}{AE} \) - \( E = 29,000 \, \text{ksi} \) (Elasticity modulus of the material) 4. **Determine the Axial Strain, \( \epsilon \):** - Formula: \( \epsilon = \frac{\Delta L}{L} \) - This represents the deformation per unit length of the pipe. **Table of Dimensions:** - \( d \) - \(\frac{d}{4}\) - \(\frac{d}{4}\) - \(\frac{d}{16}\) These notes are a guide for determining critical mechanical properties and behaviors of materials under tension, specifically for a solid cylindrical pipe.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Matrix algebra for structural analysis
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning