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A machine component is subjected to a load of P = 3,800 N. Which stress element represents the state of stress at point H? 25 mm 3.800 N 18 mm 50 mm 5 mm 12 mm 5 mm

A machine component is subjected to a load of P = 3,800 N. Which stress element represents the state of stress at point H? 25 mm 3.800 N 18 mm 50 mm 5 mm 12 mm 5 mm

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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### Stress Analysis of a Machine Component #### Problem Statement: A machine component is subjected to a load of \( P = 3,800 \, \text{N} \). Which stress element represents the state of stress at point H? #### Diagrams & Dimensions: 1. **Diagram of the Machine Component:** - The machine component has an L-shaped arm that is anchored at the base. - The load \( P \) of 3,800 N is applied horizontally at the end of the arm. - The arm has the following dimensions: - 25 mm from the base to the first bend vertically. - 50 mm horizontally to the point where the load is applied. - Cross-section: - Height: 12 mm - Width: 18 mm - Thickness: 5 mm 2. **Cross-Sectional View:** - The cross-sectional view is shown, highlighting the dimensions and the point \( H \), which is 5 mm from the bottom of the cross-section and in the middle along the width. #### Stress Element Candidates: Five different stress elements are presented, depicted as small squares with arrows indicating different types of stresses: - **Option 1:** Exhibits both normal and shear stresses on all faces. - **Option 2:** Shows primarily shear stresses. - **Option 3:** Has normal stresses on vertical and horizontal faces, with no shear stress. - **Option 4:** Displays shear stresses in opposite directions on each face. - **Option 5:** Exhibits normal stresses on horizontal faces and shear stresses on vertical faces. #### Explaination: Given that point H is subjected to a load \( P \) of 3,800 N, we need to analyze the state of stress induced at that point. The different types of stresses that can occur are: - **Normal Stress (σ):** Perpendicular to the face. - **Shear Stress (τ):** Parallel to the face. #### Conclusion: Determine which stress element correctly represents the state of stress at point H considering the direction and nature of the load \( P \). --- This problem helps understand the different types of stress elements and their implications in mechanical structures subjected to specific loads. It is crucial for solving real-world engineering problems, ensuring the reliability and safety of structural components.
Transcribed Image Text:### Stress Analysis of a Machine Component #### Problem Statement: A machine component is subjected to a load of \( P = 3,800 \, \text{N} \). Which stress element represents the state of stress at point H? #### Diagrams & Dimensions: 1. **Diagram of the Machine Component:** - The machine component has an L-shaped arm that is anchored at the base. - The load \( P \) of 3,800 N is applied horizontally at the end of the arm. - The arm has the following dimensions: - 25 mm from the base to the first bend vertically. - 50 mm horizontally to the point where the load is applied. - Cross-section: - Height: 12 mm - Width: 18 mm - Thickness: 5 mm 2. **Cross-Sectional View:** - The cross-sectional view is shown, highlighting the dimensions and the point \( H \), which is 5 mm from the bottom of the cross-section and in the middle along the width. #### Stress Element Candidates: Five different stress elements are presented, depicted as small squares with arrows indicating different types of stresses: - **Option 1:** Exhibits both normal and shear stresses on all faces. - **Option 2:** Shows primarily shear stresses. - **Option 3:** Has normal stresses on vertical and horizontal faces, with no shear stress. - **Option 4:** Displays shear stresses in opposite directions on each face. - **Option 5:** Exhibits normal stresses on horizontal faces and shear stresses on vertical faces. #### Explaination: Given that point H is subjected to a load \( P \) of 3,800 N, we need to analyze the state of stress induced at that point. The different types of stresses that can occur are: - **Normal Stress (σ):** Perpendicular to the face. - **Shear Stress (τ):** Parallel to the face. #### Conclusion: Determine which stress element correctly represents the state of stress at point H considering the direction and nature of the load \( P \). --- This problem helps understand the different types of stress elements and their implications in mechanical structures subjected to specific loads. It is crucial for solving real-world engineering problems, ensuring the reliability and safety of structural components.
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