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calculate the magnitude of the shear stress at the point due to internal shear on the section. calculate the combined normal stress at the point due to internal normal force and the internal bending moment of the section

calculate the magnitude of the shear stress at the point due to internal shear on the section. calculate the combined normal stress at the point due to internal normal force and the internal bending moment of the section

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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Fig 1 and 2 pictured with part A

calculate the magnitude of the shear stress at the point due to internal shear on the section.

calculate the combined normal stress at the point due to internal normal force and the internal bending moment of the section. Answer should be stress

### Understanding Stresses in a Wide-Flange Column **Diagram Explanation:** The diagram shows a 3D model of a column with key dimensions and forces labeled. - **Axes:** The y, z axes are indicated for orientation. - **Forces:** - **N:** Tensile normal force along the z-axis. - **V:** Shear force along the y-axis. - **M:** Bending moment shown as a curved arrow around the y-axis. **Problem Statement:** A column with a wide-flange section is characterized by: - Flange width (\(b\)) = 200 mm - Height (\(h\)) = 200 mm - Web thickness (\(t_w\)) = 8 mm - Flange thickness (\(t_f\)) = 12 mm **Objective:** Calculate the stresses at a point 50 mm above the neutral axis if the section supports the following forces: - Tensile normal force (\(N\)) = 2.9 kN at the centroid. - Shear force (\(V\)) = 4.2 kN. - Bending moment (\(M\)) = 3.8 kN·m. Refer to Figure 1 for dimensions and Figure 2 for force directions.
Transcribed Image Text:### Understanding Stresses in a Wide-Flange Column **Diagram Explanation:** The diagram shows a 3D model of a column with key dimensions and forces labeled. - **Axes:** The y, z axes are indicated for orientation. - **Forces:** - **N:** Tensile normal force along the z-axis. - **V:** Shear force along the y-axis. - **M:** Bending moment shown as a curved arrow around the y-axis. **Problem Statement:** A column with a wide-flange section is characterized by: - Flange width (\(b\)) = 200 mm - Height (\(h\)) = 200 mm - Web thickness (\(t_w\)) = 8 mm - Flange thickness (\(t_f\)) = 12 mm **Objective:** Calculate the stresses at a point 50 mm above the neutral axis if the section supports the following forces: - Tensile normal force (\(N\)) = 2.9 kN at the centroid. - Shear force (\(V\)) = 4.2 kN. - Bending moment (\(M\)) = 3.8 kN·m. Refer to Figure 1 for dimensions and Figure 2 for force directions.
### Transcription for Educational Website **Understanding Stress in a Wide-Flange Section** #### Diagram Description The diagram presents an I-shaped column with the following specifications: - **Flange Width (b):** 200 mm - **Height (h):** 200 mm - **Web Thickness (tw):** 8 mm - **Flange Thickness (tf):** 12 mm **Axes details:** - The vertical axis is labeled as 'y'. - The horizontal axis below the top flange is labeled as 'z'. #### Problem Description You are given a column with a wide-flange section. **Task:** Calculate the stresses at a point 50 mm above the neutral axis. This calculation assumes the section supports: - **Tensile Normal Force (N):** 2.9 kN at the centroid - **Shear Force (V):** 4.2 kN - **Bending Moment (M):** 3.8 kN·m Refer to the diagram for further understanding of the section's geometry. #### Part A - Normal Stress Calculation Calculate the normal stress at the specified point due to the internal normal force on the section. **Note:** Express your answer using appropriate units to three significant figures. *Additional resources or hints are available to aid in solving this problem.* --- This page is intended for educational purposes, providing a detailed explanation and visualization for engineering students studying stress analysis.
Transcribed Image Text:### Transcription for Educational Website **Understanding Stress in a Wide-Flange Section** #### Diagram Description The diagram presents an I-shaped column with the following specifications: - **Flange Width (b):** 200 mm - **Height (h):** 200 mm - **Web Thickness (tw):** 8 mm - **Flange Thickness (tf):** 12 mm **Axes details:** - The vertical axis is labeled as 'y'. - The horizontal axis below the top flange is labeled as 'z'. #### Problem Description You are given a column with a wide-flange section. **Task:** Calculate the stresses at a point 50 mm above the neutral axis. This calculation assumes the section supports: - **Tensile Normal Force (N):** 2.9 kN at the centroid - **Shear Force (V):** 4.2 kN - **Bending Moment (M):** 3.8 kN·m Refer to the diagram for further understanding of the section's geometry. #### Part A - Normal Stress Calculation Calculate the normal stress at the specified point due to the internal normal force on the section. **Note:** Express your answer using appropriate units to three significant figures. *Additional resources or hints are available to aid in solving this problem.* --- This page is intended for educational purposes, providing a detailed explanation and visualization for engineering students studying stress analysis.
Expert Solution
Step 1: Introduction

To calculate the normal stress, internal bending moment and shear stress

the following data is

tensile normal force, N equals 2.9 space k N

shear force, v equals 4.2 k N

bending moment M subscript 1 equals 3.8 space k N

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