### Problem Description1. **Problem Statement:** If the built-up beam is subjected to an internal moment of \( M = 50 \, \text{kN} \cdot \text{m} \), determine the maximum tensile and compressive stress acting in the beam.### Diagram Explanation- **Beam Structure**: The diagram illustrates a built-up beam with various dimensions clearly marked.- **Dimensions**: - The overall height of the beam is composed of a top flange, a web, and a bottom flange. - The top and bottom flanges each have: - Width: \(150 \, \text{mm}\) - Thickness: \(10 \, \text{mm}\) - The web has: - Height: \(300 \, \text{mm}\) - Thickness: \(20 \, \text{mm}\)- **Moment (M)**: The internal moment \( M \) is indicated by the circular arrow at point M. The diagram shows that the moment is applied such that it will induce tensile and compressive stresses in the beam.### AnalysisTo determine the maximum tensile and compressive stresses, calculations considering the geometry and loading conditions will be needed. This involves computing the moment of inertia and applying the flexural formula:\[ \sigma = \frac{M \cdot c}{I} \]Where:- \( \sigma \) is the stress,- \( M \) is the applied moment (\(50 \, \text{kN} \cdot \text{m}\)),- \( c \) is the distance from the neutral axis to the outermost fiber,- \( I \) is the moment of inertia of the beam cross-section.Apply these principles to calculate the stresses accurately.

*The internal moment acting on the structure is M=50 kNm.*The total length of the T section is L=320…

Answered: 1. If the built-up beam is subjected to…

1. If the built-up beam is subjected to an internal moment of M = 50 kN.m, determine the maximum tensile and compressive stress acting in the beam. 150 mm 20 mm- 150 mm 300 mm M 10 mm 10 mm 150 mm

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

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Question

### Problem Description

1. **Problem Statement:** If the built-up beam is subjected to an internal moment of \( M = 50 \, \text{kN} \cdot \text{m} \), determine the maximum tensile and compressive stress acting in the beam.

### Diagram Explanation

- **Beam Structure**: The diagram illustrates a built-up beam with various dimensions clearly marked.
- **Dimensions**:
- The overall height of the beam is composed of a top flange, a web, and a bottom flange.
- The top and bottom flanges each have:
- Width: \(150 \, \text{mm}\)
- Thickness: \(10 \, \text{mm}\)
- The web has:
- Height: \(300 \, \text{mm}\)
- Thickness: \(20 \, \text{mm}\)

- **Moment (M)**: The internal moment \( M \) is indicated by the circular arrow at point M. The diagram shows that the moment is applied such that it will induce tensile and compressive stresses in the beam.

### Analysis

To determine the maximum tensile and compressive stresses, calculations considering the geometry and loading conditions will be needed. This involves computing the moment of inertia and applying the flexural formula:

\[ \sigma = \frac{M \cdot c}{I} \]

Where:
- \( \sigma \) is the stress,
- \( M \) is the applied moment (\(50 \, \text{kN} \cdot \text{m}\)),
- \( c \) is the distance from the neutral axis to the outermost fiber,
- \( I \) is the moment of inertia of the beam cross-section.

Apply these principles to calculate the stresses accurately.

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