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2. In the structure below, the vertical bar A has a modulus of elasticity of 210 GPa, a length of 475 mm, and a cross-sectional area of 260 mm². The post B has a modulus of elasticity of 14 GPa, a length of 450 mm, and a cross-sectional area of 5300 mm². The rigid bar CDE is horizontal before the load P = 222 kN is applied. Determine a) b) The axial stress in the vertical bar A and post B; The deflection at point D. C Smooth A pins 480 mm D 870 mm P E B

2. In the structure below, the vertical bar A has a modulus of elasticity of 210 GPa, a length of 475 mm, and a cross-sectional area of 260 mm². The post B has a modulus of elasticity of 14 GPa, a length of 450 mm, and a cross-sectional area of 5300 mm². The rigid bar CDE is horizontal before the load P = 222 kN is applied. Determine a) b) The axial stress in the vertical bar A and post B; The deflection at point D. C Smooth A pins 480 mm D 870 mm P E B

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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### Problem Statement In the structure below, the vertical bar \( A \) has a modulus of elasticity of 210 GPa, a length of 475 mm, and a cross-sectional area of 260 mm². The post \( B \) has a modulus of elasticity of 14 GPa, a length of 450 mm, and a cross-sectional area of 5300 mm². The rigid bar \( CDE \) is horizontal before the load \( P = 222 \) kN is applied. Determine: a) The axial stress in the vertical bar \( A \) and post \( B \). b) The deflection at point \( D \). ### Diagram Explanation The given diagram illustrates a structure with the following components: - **Vertical bar \( A \)**: It extends vertically and is characterized by a modulus of elasticity, length, and cross-sectional area as specified in the problem statement. - **Post \( B \)**: Positioned vertically, this post is also defined by its modulus of elasticity, length, and cross-sectional area as given. - **Rigid bar \( CDE \)**: Initially horizontal, this bar connects to the top of bar \( A \) and post \( B \). It is acted upon by a load \( P \) applied at point \( E \). #### Key Dimensions - Distance from point \( C \) to point \( D \): 480 mm - Distance from point \( D \) to point \( E \): 870 mm ### To Determine 1. **Axial Stress Calculations**: - For vertical bar \( A \) - For post \( B \) 2. **Deflection at Point \( D \)**: This structure setup involves applying the principles of mechanics of materials, including stress-strain relationships and deflection formulas, to find the required quantities. --- Use appropriate formulas and relationships to find these values, considering both material and geometric properties.
Transcribed Image Text:### Problem Statement In the structure below, the vertical bar \( A \) has a modulus of elasticity of 210 GPa, a length of 475 mm, and a cross-sectional area of 260 mm². The post \( B \) has a modulus of elasticity of 14 GPa, a length of 450 mm, and a cross-sectional area of 5300 mm². The rigid bar \( CDE \) is horizontal before the load \( P = 222 \) kN is applied. Determine: a) The axial stress in the vertical bar \( A \) and post \( B \). b) The deflection at point \( D \). ### Diagram Explanation The given diagram illustrates a structure with the following components: - **Vertical bar \( A \)**: It extends vertically and is characterized by a modulus of elasticity, length, and cross-sectional area as specified in the problem statement. - **Post \( B \)**: Positioned vertically, this post is also defined by its modulus of elasticity, length, and cross-sectional area as given. - **Rigid bar \( CDE \)**: Initially horizontal, this bar connects to the top of bar \( A \) and post \( B \). It is acted upon by a load \( P \) applied at point \( E \). #### Key Dimensions - Distance from point \( C \) to point \( D \): 480 mm - Distance from point \( D \) to point \( E \): 870 mm ### To Determine 1. **Axial Stress Calculations**: - For vertical bar \( A \) - For post \( B \) 2. **Deflection at Point \( D \)**: This structure setup involves applying the principles of mechanics of materials, including stress-strain relationships and deflection formulas, to find the required quantities. --- Use appropriate formulas and relationships to find these values, considering both material and geometric properties.
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