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For the truss shown below, determine the reactions at B and J. determine the internal force in members FG and FH. B I C 12 kN D E 12 kN G F H 4 panels @ 2.4 m = 9.6 m 1.8 m

For the truss shown below, determine the reactions at B and J. determine the internal force in members FG and FH. B I C 12 kN D E 12 kN G F H 4 panels @ 2.4 m = 9.6 m 1.8 m

Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter1: Introduction
Section: Chapter Questions
Problem 3CQ
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### Determining Reactions in a Truss Structure This instructional guide will help you disassemble a particular type of truss structure and determine specific reactions and internal forces. #### Problem: **For the truss shown below,** 1. **Determine the reactions at B and J.** 2. **Determine the internal force in members FG and FH.** ### Diagram: The provided diagram represents a truss schematic with the following components and properties: - **Points:** A, B, C, D, E, F, G, H, I, and J. - **Loads:** - A 12 kN force acts vertically downward at point E. - A 12 kN force acts vertically downward at point G. - **Support Reactions:** - There is a pin support at point B. - There is a roller support at point J. - **Dimensions:** - The truss is horizontally divided into 4 equal panels, each 2.4 meters in length, for a total span of 9.6 meters. - The vertical height from point I to J is 1.8 meters. ### Steps to Solve: 1. **Determine Reactions at Supports:** - Calculate vertical and horizontal reactions at point B (pin support) and point J (roller support). - Use equilibrium equations (sum of forces and moments). 2. **Internal Forces in Members:** - Conduct a method of joints or sections to find internal force in members, particularly for FG and FH. - Apply equilibrium analysis to smaller sections or nodes of the truss. By following these guidelines and utilizing structural analysis principles, you will be able to understand the reaction forces and internal member forces in the truss structure comprehensively. ### Detailed Diagram Description: The diagram of the truss consists of a series of interconnected triangles and quadrilaterals which form the framework of the truss. The bottom chord of the truss extends horizontally between B and J, with four vertical members connecting each bottom node to the top chord which is similarly segmented between A and I. Forces are applied at specific top chord nodes, and supports are located at each end of the bottom chord. This example serves as an excellent practical application of static equilibrium in structural analysis, and reinforces the concept of force distribution within a truss.
Transcribed Image Text:### Determining Reactions in a Truss Structure This instructional guide will help you disassemble a particular type of truss structure and determine specific reactions and internal forces. #### Problem: **For the truss shown below,** 1. **Determine the reactions at B and J.** 2. **Determine the internal force in members FG and FH.** ### Diagram: The provided diagram represents a truss schematic with the following components and properties: - **Points:** A, B, C, D, E, F, G, H, I, and J. - **Loads:** - A 12 kN force acts vertically downward at point E. - A 12 kN force acts vertically downward at point G. - **Support Reactions:** - There is a pin support at point B. - There is a roller support at point J. - **Dimensions:** - The truss is horizontally divided into 4 equal panels, each 2.4 meters in length, for a total span of 9.6 meters. - The vertical height from point I to J is 1.8 meters. ### Steps to Solve: 1. **Determine Reactions at Supports:** - Calculate vertical and horizontal reactions at point B (pin support) and point J (roller support). - Use equilibrium equations (sum of forces and moments). 2. **Internal Forces in Members:** - Conduct a method of joints or sections to find internal force in members, particularly for FG and FH. - Apply equilibrium analysis to smaller sections or nodes of the truss. By following these guidelines and utilizing structural analysis principles, you will be able to understand the reaction forces and internal member forces in the truss structure comprehensively. ### Detailed Diagram Description: The diagram of the truss consists of a series of interconnected triangles and quadrilaterals which form the framework of the truss. The bottom chord of the truss extends horizontally between B and J, with four vertical members connecting each bottom node to the top chord which is similarly segmented between A and I. Forces are applied at specific top chord nodes, and supports are located at each end of the bottom chord. This example serves as an excellent practical application of static equilibrium in structural analysis, and reinforces the concept of force distribution within a truss.
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