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ction a) Find the force in member GF, CD, and CF. b) State whether each member is in tension or compression. 10 Kips 6 ft +3 Kips 3 ft 5 Kips. A H B G C 6 Kips F D E

ction a) Find the force in member GF, CD, and CF. b) State whether each member is in tension or compression. 10 Kips 6 ft +3 Kips 3 ft 5 Kips. A H B G C 6 Kips F D E

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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**Educational Exercise: Truss Analysis using the Method of Sections** **Q. 3) Using the Method of Sections:** a) **Find the force in members GF, CD, and CF.** b) **State whether each member is in tension or compression.** **Description of the Diagram:** The image presents a truss structure supported at two points: a pin support at point A and a roller support at point E. The truss is subjected to different external forces at various joints: 1. **At Joint H:** There is a horizontal force of 5 kips acting to the left. 2. **At Joint G:** A vertical force of 10 kips acts downward. 3. **At Joint F:** A vertical force of 6 kips acts downward. 4. **At Joint I:** There is a horizontal force of 3 kips acting to the left. **Dimensions:** - From A to B: 8 ft - From B to C: 8 ft - From C to D: 8 ft - From D to E: 8 ft - The vertical distance from A to I is 3 ft and from I to H is 3 ft more, totaling 6 ft. This truss is composed of several members connected at these joints, namely: - Horizontal members: AI, BI, CJ, DJ, and EK. - Vertical members: HI, GF, and CF. - Diagonal members creating triangular formations between joints. **Analysis Steps using Method of Sections:** 1. **Isolate a Section to Analyze:** - Cut through members GF, CD, and CF to solve for the internal forces in these members. 2. **Apply Equilibrium Equations:** - For the section to be in equilibrium: the sum of forces in both horizontal and vertical directions, and the sum of moments about any point must be zero. Use these equations to solve for unknown forces. 3. **Determine Nature of Forces:** - After calculating forces, determine if they are causing members to be in tension or compression. **Hints for Calculation and Analysis:** - Take moments about points where multiple unknowns can be eliminated, simplifying calculations. - Use trigonometric relations if necessary, especially when dealing with forces at angles. **Outcome:** Upon completing these calculations, you will be able to state: - The magnitude of forces in members GF, CD, and CF. - Whether each
Transcribed Image Text:**Educational Exercise: Truss Analysis using the Method of Sections** **Q. 3) Using the Method of Sections:** a) **Find the force in members GF, CD, and CF.** b) **State whether each member is in tension or compression.** **Description of the Diagram:** The image presents a truss structure supported at two points: a pin support at point A and a roller support at point E. The truss is subjected to different external forces at various joints: 1. **At Joint H:** There is a horizontal force of 5 kips acting to the left. 2. **At Joint G:** A vertical force of 10 kips acts downward. 3. **At Joint F:** A vertical force of 6 kips acts downward. 4. **At Joint I:** There is a horizontal force of 3 kips acting to the left. **Dimensions:** - From A to B: 8 ft - From B to C: 8 ft - From C to D: 8 ft - From D to E: 8 ft - The vertical distance from A to I is 3 ft and from I to H is 3 ft more, totaling 6 ft. This truss is composed of several members connected at these joints, namely: - Horizontal members: AI, BI, CJ, DJ, and EK. - Vertical members: HI, GF, and CF. - Diagonal members creating triangular formations between joints. **Analysis Steps using Method of Sections:** 1. **Isolate a Section to Analyze:** - Cut through members GF, CD, and CF to solve for the internal forces in these members. 2. **Apply Equilibrium Equations:** - For the section to be in equilibrium: the sum of forces in both horizontal and vertical directions, and the sum of moments about any point must be zero. Use these equations to solve for unknown forces. 3. **Determine Nature of Forces:** - After calculating forces, determine if they are causing members to be in tension or compression. **Hints for Calculation and Analysis:** - Take moments about points where multiple unknowns can be eliminated, simplifying calculations. - Use trigonometric relations if necessary, especially when dealing with forces at angles. **Outcome:** Upon completing these calculations, you will be able to state: - The magnitude of forces in members GF, CD, and CF. - Whether each
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