**Problem Statement:**A prismatic bar has a cross-section of \(25 \, \text{mm} \times 50 \, \text{mm}\) and a length of \(2000 \, \text{mm}\). Under an axial load of \(100 \, \text{kN}\), the measured elongation of the bar is \(2 \, \text{mm}\). The tensile stress and percentage strain in the bar are required to be calculated.**Solution:**1. **Calculate the Tensile Stress:** - **Formula:** Tensile stress \( \sigma = \frac{F}{A} \) - **Given:** - Axial load \( F = 100 \, \text{kN} = 100,000 \, \text{N} \) - Cross-sectional area \( A = 25 \, \text{mm} \times 50 \, \text{mm} = 1250 \, \text{mm}^2 \) - **Convert \( A \) to \( \text{m}^2\) for consistency:** \( 1250 \, \text{mm}^2 = 1250 \times 10^{-6} \, \text{m}^2 \) - **Calculation:** \[ \sigma = \frac{100,000 \, \text{N}}{1250 \times 10^{-6} \, \text{m}^2} = 80 \, \text{MPa} \]2. **Calculate the Percentage Strain:** - **Formula:** Percentage strain \( \epsilon \% = \left(\frac{\Delta L}{L_0}\right) \times 100 \) - **Given:** - Elongation \( \Delta L = 2 \, \text{mm} \) - Original length \( L_0 = 2000 \, \text{mm} \) - **Calculation:** \[ \epsilon \% = \left(\frac{2 \, \text{mm}}{2000 \, \text{mm}}\right) \times 100 = 0.1\% \]**Results:**- **Tensile Stress:** 80 MPa- **Percentage Strain:** 0.

Cross section = 25 mm x 50 mmLength = 2000 mmAxial load = 100 kNTo Find :The tensile stress and %…

Answered: A prismatic bar has a cross-section of…

A prismatic bar has a cross-section of 25 mm x 50 mm and a length of 2000 mm. Under an axial load of 100 kN, the measured elongation of the bar is 2 mm. The tensile stress and % strain in the bar

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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