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The bar is subjected to a uniform temperature decrease, a 7 kN load at B, and an applied displacement of the support at C. Determine the reaction at A rounded to the nearest N. Section A-B: E 200 GPa A = 200 mm² a = 12 x 10-6 Section B-C: /°C E 180 GPa A = 120 mm² a = 21 x 10-6 /°C RA= ? A AT-12 °C (uniform) 300 mm 7 kN B 200 mm Ue = 0.02 mm YZ₂

The bar is subjected to a uniform temperature decrease, a 7 kN load at B, and an applied displacement of the support at C. Determine the reaction at A rounded to the nearest N. Section A-B: E 200 GPa A = 200 mm² a = 12 x 10-6 Section B-C: /°C E 180 GPa A = 120 mm² a = 21 x 10-6 /°C RA= ? A AT-12 °C (uniform) 300 mm 7 kN B 200 mm Ue = 0.02 mm YZ₂

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 Description The bar is subjected to a uniform temperature decrease, a 7 kN load at B, and an applied displacement of the support at C. Determine the reaction at A rounded to the nearest N. ### Parameters for Section A-B: - **Elastic Modulus (E):** 200 GPa - **Cross-sectional Area (A):** 200 mm² - **Coefficient of Thermal Expansion (α):** 12 × 10⁻⁶ /°C ### Parameters for Section B-C: - **Elastic Modulus (E):** 180 GPa - **Cross-sectional Area (A):** 120 mm² - **Coefficient of Thermal Expansion (α):** 21 × 10⁻⁶ /°C ### Diagram The diagram illustrates a bar divided into two sections: A-B and B-C. The sections are under the influence of a uniform temperature decrease of ΔT = -12°C. - **Section A-B:** Length = 300 mm - **Section B-C:** Length = 200 mm - **Load at B:** 7 kN, directed towards point A - **Reaction at A (R_A):** Unknown force to be determined - **Displacement at C (u_c):** 0.02 mm #### Axes - Y-axis is vertical. - Z-axis is horizontal. The diagram includes annotations highlighting the unknown reaction at A and indicates the uniform temperature change affecting the entire bar. ### Objective Calculate the reaction force at A taking into account thermal effects, mechanical loads, and specified displacements.
Transcribed Image Text:### Problem Description The bar is subjected to a uniform temperature decrease, a 7 kN load at B, and an applied displacement of the support at C. Determine the reaction at A rounded to the nearest N. ### Parameters for Section A-B: - **Elastic Modulus (E):** 200 GPa - **Cross-sectional Area (A):** 200 mm² - **Coefficient of Thermal Expansion (α):** 12 × 10⁻⁶ /°C ### Parameters for Section B-C: - **Elastic Modulus (E):** 180 GPa - **Cross-sectional Area (A):** 120 mm² - **Coefficient of Thermal Expansion (α):** 21 × 10⁻⁶ /°C ### Diagram The diagram illustrates a bar divided into two sections: A-B and B-C. The sections are under the influence of a uniform temperature decrease of ΔT = -12°C. - **Section A-B:** Length = 300 mm - **Section B-C:** Length = 200 mm - **Load at B:** 7 kN, directed towards point A - **Reaction at A (R_A):** Unknown force to be determined - **Displacement at C (u_c):** 0.02 mm #### Axes - Y-axis is vertical. - Z-axis is horizontal. The diagram includes annotations highlighting the unknown reaction at A and indicates the uniform temperature change affecting the entire bar. ### Objective Calculate the reaction force at A taking into account thermal effects, mechanical loads, and specified displacements.
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