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Problem 1 Calculate the forces in struts BC and DE Draw Shear and Moment Diagrams Given that, Ibeam = 600 in4, A strut 3 in², E = 29000 ksi B C 4 kip/ft 10'- E D -4→→→→ F

Problem 1 Calculate the forces in struts BC and DE Draw Shear and Moment Diagrams Given that, Ibeam = 600 in4, A strut 3 in², E = 29000 ksi B C 4 kip/ft 10'- E D -4→→→→ F

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 1 - **Objective**: - Calculate the forces in struts BC and DE. - Draw Shear and Moment Diagrams. - **Given**: - \( I_{\text{beam}} = 600 \, \text{in}^4 \) - \( A_{\text{strut}} = 3 \, \text{in}^2 \) - \( E = 29000 \, \text{ksi} \) --- ### Diagram Explanation The diagram presents a structural beam setup with the following details: 1. **Loads and Supports**: - The beam is subjected to a uniform distributed load of 4 kip/ft. - It is supported by a pinned support at point A on the left and a roller support at point F on the right. 2. **Struts and Geometry**: - Strut AC with a vertical height of 3 units. - Strut BC and DE span horizontally. - Strut DE is positioned symmetrically on the right side. 3. **Span Details**: - The beam spans a total length of 22 feet, divided as follows: - 4 feet from A to C - 10 feet between C and D - 4 feet from D to F - Vertical supports exist at points C and D. --- This setup is typically examined to determine internal forces and moments, utilizing the given beam area moment of inertia, cross-sectional area of struts, and modulus of elasticity. The challenge involves analyzing how the applied loads distribute across the structure, influencing force in the struts and moments along the beam.
Transcribed Image Text:### Problem 1 - **Objective**: - Calculate the forces in struts BC and DE. - Draw Shear and Moment Diagrams. - **Given**: - \( I_{\text{beam}} = 600 \, \text{in}^4 \) - \( A_{\text{strut}} = 3 \, \text{in}^2 \) - \( E = 29000 \, \text{ksi} \) --- ### Diagram Explanation The diagram presents a structural beam setup with the following details: 1. **Loads and Supports**: - The beam is subjected to a uniform distributed load of 4 kip/ft. - It is supported by a pinned support at point A on the left and a roller support at point F on the right. 2. **Struts and Geometry**: - Strut AC with a vertical height of 3 units. - Strut BC and DE span horizontally. - Strut DE is positioned symmetrically on the right side. 3. **Span Details**: - The beam spans a total length of 22 feet, divided as follows: - 4 feet from A to C - 10 feet between C and D - 4 feet from D to F - Vertical supports exist at points C and D. --- This setup is typically examined to determine internal forces and moments, utilizing the given beam area moment of inertia, cross-sectional area of struts, and modulus of elasticity. The challenge involves analyzing how the applied loads distribute across the structure, influencing force in the struts and moments along the beam.
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