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Beam cross-section: 12 mm 30 mm Determine the Maximum Shear Stress in the beam. A/

Beam cross-section: 12 mm 30 mm Determine the Maximum Shear Stress in the beam. A/

Elements Of Electromagnetics
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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### Beam Loading Analysis **Beam loading:** - A horizontal beam is subjected to vertical point loads at various intervals. - The loads and their positions are as follows: - An 800 N load is applied 0.4 m from the left end. - A 400 N load is applied 0.8 m from the 800 N load. - A 600 N load is applied 0.3 m from the 400 N load. - A 200 N load is applied 0.3 m from the 600 N load. **Distances between supports:** - The distance from the left end of the beam to the first support \(R_1\) is 0.9 m. - The distance between the first support \(R_1\) and the second support \(R_2\) is 0.5 m. - The distance from the second support \(R_2\) to the right end of the beam is 0.2 m. **Reaction Forces:** - \(R_1\) and \(R_2\) are the reaction forces at the supports. **Beam cross-section:** - The cross-section of the beam is rectangular with the following dimensions: - Height: 30 mm - Width: 12 mm **Problem Statement:** Determine the Maximum Shear Stress in the beam. **Graphical Representation:** 1. **Diagram Analysis:** The point loads are depicted using downward arrows labeled with the respective forces in Newtons (N). The distances between the loads and supports are marked with horizontal arrows, and the dimensions are given in meters (m). 2. **Cross-Section Diagram:** The cross-section is shown as a shaded rectangular area with dimensions denoted. The height is labeled as 30 mm, and the width is labeled as 12 mm. **Calculation Slot:** An empty box is provided for the students to input their calculated value for the Maximum Shear Stress in the beam, with units indicated as \( \text{N}/{\text{m}}^2 \).
Transcribed Image Text:### Beam Loading Analysis **Beam loading:** - A horizontal beam is subjected to vertical point loads at various intervals. - The loads and their positions are as follows: - An 800 N load is applied 0.4 m from the left end. - A 400 N load is applied 0.8 m from the 800 N load. - A 600 N load is applied 0.3 m from the 400 N load. - A 200 N load is applied 0.3 m from the 600 N load. **Distances between supports:** - The distance from the left end of the beam to the first support \(R_1\) is 0.9 m. - The distance between the first support \(R_1\) and the second support \(R_2\) is 0.5 m. - The distance from the second support \(R_2\) to the right end of the beam is 0.2 m. **Reaction Forces:** - \(R_1\) and \(R_2\) are the reaction forces at the supports. **Beam cross-section:** - The cross-section of the beam is rectangular with the following dimensions: - Height: 30 mm - Width: 12 mm **Problem Statement:** Determine the Maximum Shear Stress in the beam. **Graphical Representation:** 1. **Diagram Analysis:** The point loads are depicted using downward arrows labeled with the respective forces in Newtons (N). The distances between the loads and supports are marked with horizontal arrows, and the dimensions are given in meters (m). 2. **Cross-Section Diagram:** The cross-section is shown as a shaded rectangular area with dimensions denoted. The height is labeled as 30 mm, and the width is labeled as 12 mm. **Calculation Slot:** An empty box is provided for the students to input their calculated value for the Maximum Shear Stress in the beam, with units indicated as \( \text{N}/{\text{m}}^2 \).
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