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4/4 Calculate the forces in members BE and BD of the loaded truss. B C A 3 m 2 3 m

4/4 Calculate the forces in members BE and BD of the loaded truss. B C A 3 m 2 3 m

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 4/4 **Objective: Calculate the forces in members BE and BD of the loaded truss.** #### Diagram Description: The diagram depicts a loaded truss with several joints and members. Key elements are as follows: - **Joints:** The truss has joints labeled A, B, C, D, and E. - **Members:** Structural members connect the joints: BE, BD, AD, DE, AE, AB, BC, and CD. - **Loads:** A downward force of 4 kN is applied at joint A. - **Dimensions:** The truss spans horizontally and vertically with members of equal lengths of 3 meters between the joints, indicating a symmetric structure. #### Detailed Analysis: 1. **The truss is comprised of triangles and rectangles, providing stability and load distribution.** 2. **Forces:** - An external load of 4 kN acts vertically downward on joint A. - Internal forces in members BE and BD are to be determined. 3. **Support and Reaction Forces:** - Joint D appears to be supported by a wall, indicating it is a fixed or restrained support. - The triangles formed by members (ABE, ABD, BCD, etc.) are crucial for force distribution analysis. 4. **Method of Sections or Joints:** - To solve for forces in members BE and BD, we can use methods such as the method of joints or the method of sections. 5. **Geometry:** - A 45-degree right triangle is indicated in the diagram near joint D, with dimensions marked as 2 and 2, ensuring equal distribution of forces. #### Calculation Steps: 1. **Free-Body Diagram:** - Draw the free-body diagram for each joint. - Resolve forces horizontally and vertically to maintain equilibrium. 2. **Equilibrium Equations:** - Sum of horizontal forces (ΣFx = 0). - Sum of vertical forces (ΣFy = 0). - Sum of moments (ΣM = 0) around a point. 3. **Solve for Desired Member Forces:** - Use equilibrium equations to find the internal forces in the truss members BE and BD. By systematically applying static equilibrium conditions and properly utilizing the symmetry and geometry of the truss, one can solve for the internal forces in the specified members BE and BD. **End of Problem 4/4.**
Transcribed Image Text:### Problem 4/4 **Objective: Calculate the forces in members BE and BD of the loaded truss.** #### Diagram Description: The diagram depicts a loaded truss with several joints and members. Key elements are as follows: - **Joints:** The truss has joints labeled A, B, C, D, and E. - **Members:** Structural members connect the joints: BE, BD, AD, DE, AE, AB, BC, and CD. - **Loads:** A downward force of 4 kN is applied at joint A. - **Dimensions:** The truss spans horizontally and vertically with members of equal lengths of 3 meters between the joints, indicating a symmetric structure. #### Detailed Analysis: 1. **The truss is comprised of triangles and rectangles, providing stability and load distribution.** 2. **Forces:** - An external load of 4 kN acts vertically downward on joint A. - Internal forces in members BE and BD are to be determined. 3. **Support and Reaction Forces:** - Joint D appears to be supported by a wall, indicating it is a fixed or restrained support. - The triangles formed by members (ABE, ABD, BCD, etc.) are crucial for force distribution analysis. 4. **Method of Sections or Joints:** - To solve for forces in members BE and BD, we can use methods such as the method of joints or the method of sections. 5. **Geometry:** - A 45-degree right triangle is indicated in the diagram near joint D, with dimensions marked as 2 and 2, ensuring equal distribution of forces. #### Calculation Steps: 1. **Free-Body Diagram:** - Draw the free-body diagram for each joint. - Resolve forces horizontally and vertically to maintain equilibrium. 2. **Equilibrium Equations:** - Sum of horizontal forces (ΣFx = 0). - Sum of vertical forces (ΣFy = 0). - Sum of moments (ΣM = 0) around a point. 3. **Solve for Desired Member Forces:** - Use equilibrium equations to find the internal forces in the truss members BE and BD. By systematically applying static equilibrium conditions and properly utilizing the symmetry and geometry of the truss, one can solve for the internal forces in the specified members BE and BD. **End of Problem 4/4.**
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