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Draw the influence lines for the forces in members BC and CG of the truss shown below. Live loads are transmitted to the bottom chord of the truss. Indicate numerical values for the peaks. (hint: for the case of CG, first establish a relationship between forces in CG and FG.) A G B C D 4 panels at 16 ft = 64 ft- H E 16 ft

Draw the influence lines for the forces in members BC and CG of the truss shown below. Live loads are transmitted to the bottom chord of the truss. Indicate numerical values for the peaks. (hint: for the case of CG, first establish a relationship between forces in CG and FG.) A G B C D 4 panels at 16 ft = 64 ft- H E 16 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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### Problem 8 **Objective:** Draw the influence lines for the forces in members BC and CG of the truss shown below. Live loads are transmitted to the bottom chord of the truss. Indicate numerical values for the peaks. *(Hint: for the case of CG, first establish a relationship between forces in CG and FG.)* **Diagram Description:** The diagram displays a truss with a span of 64 feet, divided into 4 equal panels of 16 feet each. The truss is triangular in shape with the following details: - **Points/Nodes:** A, B, C, D, E, F, G, H - **Members:** FG, CG, BC, CD, DE, etc. - **Height of the truss:** 16 feet - **Support:** Point A is a pin support and Point E is a roller support The nodes and members are labeled in a way that facilitates the analysis of forces within the truss structure, specifically focusing on members BC and CG. 1. **Nodes:** - A: Leftmost end with pin support. - B, C, and D: Intermediate nodes aligned along the bottom chord. - E: Rightmost end with roller support. - F and H: Nodes along the inclined members. - G: Top node of the truss. 2. **Members:** - FG and FH: Top chord members sloping downwards from G to F and G to H respectively. - BC, CD, and DE: Bottom chord members. - Vertical and diagonal members connecting these chords (e.g., BF, GC, HD). ### Steps to Solve: 1. **Establish Influence Lines:** - For members BC and CG, calculate how forces change as a point load moves across the truss. 2. **Relationship Analysis:** - Understand and quantify the relationship between forces in member CG and adjacent members like FG. 3. **Focusing on Live Loads:** - Live loads are considered on the bottom chord, affecting the distribution of forces through BC and CG. ### Detailed Analysis: For detailed analysis, one would calculate the influence line ordinates using principles of structural analysis: - **Method of Sections:** This can be used to calculate forces in specific members by 'cutting' the truss and applying equilibrium equations. - **Virtual Work Method:** Engage this method to determine deflections and rotations, useful
Transcribed Image Text:### Problem 8 **Objective:** Draw the influence lines for the forces in members BC and CG of the truss shown below. Live loads are transmitted to the bottom chord of the truss. Indicate numerical values for the peaks. *(Hint: for the case of CG, first establish a relationship between forces in CG and FG.)* **Diagram Description:** The diagram displays a truss with a span of 64 feet, divided into 4 equal panels of 16 feet each. The truss is triangular in shape with the following details: - **Points/Nodes:** A, B, C, D, E, F, G, H - **Members:** FG, CG, BC, CD, DE, etc. - **Height of the truss:** 16 feet - **Support:** Point A is a pin support and Point E is a roller support The nodes and members are labeled in a way that facilitates the analysis of forces within the truss structure, specifically focusing on members BC and CG. 1. **Nodes:** - A: Leftmost end with pin support. - B, C, and D: Intermediate nodes aligned along the bottom chord. - E: Rightmost end with roller support. - F and H: Nodes along the inclined members. - G: Top node of the truss. 2. **Members:** - FG and FH: Top chord members sloping downwards from G to F and G to H respectively. - BC, CD, and DE: Bottom chord members. - Vertical and diagonal members connecting these chords (e.g., BF, GC, HD). ### Steps to Solve: 1. **Establish Influence Lines:** - For members BC and CG, calculate how forces change as a point load moves across the truss. 2. **Relationship Analysis:** - Understand and quantify the relationship between forces in member CG and adjacent members like FG. 3. **Focusing on Live Loads:** - Live loads are considered on the bottom chord, affecting the distribution of forces through BC and CG. ### Detailed Analysis: For detailed analysis, one would calculate the influence line ordinates using principles of structural analysis: - **Method of Sections:** This can be used to calculate forces in specific members by 'cutting' the truss and applying equilibrium equations. - **Virtual Work Method:** Engage this method to determine deflections and rotations, useful
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