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For the truss shown in Figure 3, members AC and BC have cross sectional area of 2 in.² while members AB and BD have cross sectional area of 4 in.2. E for all members is 11,000 ksi, and a for all members is 13 x 10-6 in./in./°F. • Compute the vertical deflection of joint B due to the applied 9 k load. Be sure to show both magnitude and direction. If member BC is heated by 150° F, what would be the resulting vertical deflection of joint A? 9 kips 8 ft. B Figure 3 8 ft. 12 ft.

For the truss shown in Figure 3, members AC and BC have cross sectional area of 2 in.² while members AB and BD have cross sectional area of 4 in.2. E for all members is 11,000 ksi, and a for all members is 13 x 10-6 in./in./°F. • Compute the vertical deflection of joint B due to the applied 9 k load. Be sure to show both magnitude and direction. If member BC is heated by 150° F, what would be the resulting vertical deflection of joint A? 9 kips 8 ft. B Figure 3 8 ft. 12 ft.

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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**Truss Analysis and Thermal Expansion** For the truss shown in Figure 3, members AC and BC have a cross-sectional area of 2 in², while members AB and BD have a cross-sectional area of 4 in². The modulus of elasticity (E) for all members is 11,000 ksi, and the coefficient of thermal expansion (α) for all members is 13 x 10⁻⁶ in./in./°F. ### Tasks: 1. **Compute the vertical deflection of joint B due to the applied 9 kip load.** - Be sure to show both magnitude and direction. 2. **If member BC is heated by 150°F, what would be the resulting vertical deflection of joint A?** ### Detailed Diagram Explanation: - **Figure 3**: A truss diagram showing points A, B, C, and D with designated supports. - **Point A**: Location at the top left where a vertical load of 9 kips is applied directly downward. - **Point B**: A joint located 8 feet horizontally from point A. - **Point C**: Located 12 feet vertically above point B, forming a diagonal member BC. - **Point D**: Positioned 8 feet horizontally from point B, connecting directly below point C. Connections: - Member AC: Joins points A and C. - Member AB: Joins points A and B. - Member BD: Joins points B and D. - Member BC: Joins points B and C. Areas: - Members AC and BC: 2 in² cross-sectional area. - Members AB and BD: 4 in² cross-sectional area. Material Properties: - Modulus of Elasticity (E): 11,000 ksi for all members. - Coefficient of Thermal Expansion (α): 13 x 10⁻⁶ in./in./°F for all members. ### Analysis: The given data and diagram are used to solve for the deflections caused by mechanical loading and thermal expansion. Detailed calculations involving structural analysis principles, such as the method of joints or sections, along with temperature-induced strain calculations will be performed. For educational purposes, the significance of these computations lies in understanding how forces and temperature changes influence structural elements, helping to ensure safe and effective design practices in engineering.
Transcribed Image Text:**Truss Analysis and Thermal Expansion** For the truss shown in Figure 3, members AC and BC have a cross-sectional area of 2 in², while members AB and BD have a cross-sectional area of 4 in². The modulus of elasticity (E) for all members is 11,000 ksi, and the coefficient of thermal expansion (α) for all members is 13 x 10⁻⁶ in./in./°F. ### Tasks: 1. **Compute the vertical deflection of joint B due to the applied 9 kip load.** - Be sure to show both magnitude and direction. 2. **If member BC is heated by 150°F, what would be the resulting vertical deflection of joint A?** ### Detailed Diagram Explanation: - **Figure 3**: A truss diagram showing points A, B, C, and D with designated supports. - **Point A**: Location at the top left where a vertical load of 9 kips is applied directly downward. - **Point B**: A joint located 8 feet horizontally from point A. - **Point C**: Located 12 feet vertically above point B, forming a diagonal member BC. - **Point D**: Positioned 8 feet horizontally from point B, connecting directly below point C. Connections: - Member AC: Joins points A and C. - Member AB: Joins points A and B. - Member BD: Joins points B and D. - Member BC: Joins points B and C. Areas: - Members AC and BC: 2 in² cross-sectional area. - Members AB and BD: 4 in² cross-sectional area. Material Properties: - Modulus of Elasticity (E): 11,000 ksi for all members. - Coefficient of Thermal Expansion (α): 13 x 10⁻⁶ in./in./°F for all members. ### Analysis: The given data and diagram are used to solve for the deflections caused by mechanical loading and thermal expansion. Detailed calculations involving structural analysis principles, such as the method of joints or sections, along with temperature-induced strain calculations will be performed. For educational purposes, the significance of these computations lies in understanding how forces and temperature changes influence structural elements, helping to ensure safe and effective design practices in engineering.
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