5.26 Members CD, BH, and HG. Problem 5.26 20'-0" A B 20 kips C H 8 kips D G 3 bays @ 20'-0" = 60'-0" 12 kips E F 10'-0"
5.26 Members CD, BH, and HG. Problem 5.26 20'-0" A B 20 kips C H 8 kips D G 3 bays @ 20'-0" = 60'-0" 12 kips E F 10'-0"
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Solve using method of sections. Find Members CD, BH, and HG.
Solve the most effective way, only solve for what you are asked for.
![### Problem 5.26: Truss Analysis
**Objective:**
Analyze the truss structure to determine the forces in members CD, BH, and HG.
**Description:**
This problem involves a truss structure subjected to three external loads. The truss spans three bays, with each bay measuring 20 feet, for a total span of 60 feet. The height from point A to point B is 20 feet, and the height between the top and lower nodes of the truss is 10 feet.
**Loading:**
- A downward force of 20 kips is applied at point C.
- A downward force of 8 kips is applied at point D.
- A downward force of 12 kips is applied at point E.
**Support Reactions:**
- Point A is supported by a pin (triangle symbol), allowing it to provide reaction forces in both horizontal and vertical directions.
- Point G is supported by a roller (circle symbol), allowing it to provide a reaction force only in the vertical direction.
**Truss Members:**
- The truss consists of several members connecting nodes: A, B, C, D, E, F, G, and H.
- Important members for analysis include CD, BH, and HG.
**Steps for Analysis:**
1. Use equilibrium equations to find the reaction forces at the supports (A and G).
2. Apply methods such as the joint method or section method to solve for the forces in members CD, BH, and HG.
3. Ensure equilibrium at each joint to validate the calculations.
This problem is a part of structural engineering exercises aimed at understanding force distribution in truss structures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39ec5177-5e72-4fde-aa28-d3ee9502d23b%2F47ab5ba8-df22-4e30-89b7-a4402ec86b51%2F5ztvzkp_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 5.26: Truss Analysis
**Objective:**
Analyze the truss structure to determine the forces in members CD, BH, and HG.
**Description:**
This problem involves a truss structure subjected to three external loads. The truss spans three bays, with each bay measuring 20 feet, for a total span of 60 feet. The height from point A to point B is 20 feet, and the height between the top and lower nodes of the truss is 10 feet.
**Loading:**
- A downward force of 20 kips is applied at point C.
- A downward force of 8 kips is applied at point D.
- A downward force of 12 kips is applied at point E.
**Support Reactions:**
- Point A is supported by a pin (triangle symbol), allowing it to provide reaction forces in both horizontal and vertical directions.
- Point G is supported by a roller (circle symbol), allowing it to provide a reaction force only in the vertical direction.
**Truss Members:**
- The truss consists of several members connecting nodes: A, B, C, D, E, F, G, and H.
- Important members for analysis include CD, BH, and HG.
**Steps for Analysis:**
1. Use equilibrium equations to find the reaction forces at the supports (A and G).
2. Apply methods such as the joint method or section method to solve for the forces in members CD, BH, and HG.
3. Ensure equilibrium at each joint to validate the calculations.
This problem is a part of structural engineering exercises aimed at understanding force distribution in truss structures.
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