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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 =

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
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### 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.
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