6-9. Determine the force in each member of the truss in terms of the external loading and state if the members are in tension or compression.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Can you please solve #9 , please draw free body diagrams and show your work in Pictures please. Thank you for your help and explain step by step please.

**Exercise 6-9**

Determine the force in each member of the truss in terms of the external loading and state if the members are in tension or compression.

**Exercise 6-10**

The maximum allowable tensile force in the members of the truss is \( (F_t)_{max} = 1500 \, \text{lb} \), and the maximum allowable compressive force is \( (F_c)_{max} = 800 \, \text{lb} \). Determine the maximum magnitude \( P \) of the two loads that can be applied to the truss. Take \( a = 8 \, \text{ft} \).

**Problem Diagram Description:**

The diagram depicts a truss structure with members forming a triangular shape, supported at points A and C. It includes the points:

- **A and C:** Base points of the truss with a horizontal distance \( a \) between them.
- **B:** Located at the top of the truss.
- **D:** Midpoint along the base, where a vertical load \( P \) is applied downward.

Two identical loads \( P \) are shown: one is applied horizontally at point B and the other vertically at point D. The vertical distance from B to the line AC is divided into sections: \(\frac{3}{4}a\) from B to line through C, and \(\frac{1}{4}a\) from line through C to C itself. Both loads act symmetrically with respect to the truss. 

The truss members form a series of interconnected triangles, influencing the internal forces within the structure.
Transcribed Image Text:**Exercise 6-9** Determine the force in each member of the truss in terms of the external loading and state if the members are in tension or compression. **Exercise 6-10** The maximum allowable tensile force in the members of the truss is \( (F_t)_{max} = 1500 \, \text{lb} \), and the maximum allowable compressive force is \( (F_c)_{max} = 800 \, \text{lb} \). Determine the maximum magnitude \( P \) of the two loads that can be applied to the truss. Take \( a = 8 \, \text{ft} \). **Problem Diagram Description:** The diagram depicts a truss structure with members forming a triangular shape, supported at points A and C. It includes the points: - **A and C:** Base points of the truss with a horizontal distance \( a \) between them. - **B:** Located at the top of the truss. - **D:** Midpoint along the base, where a vertical load \( P \) is applied downward. Two identical loads \( P \) are shown: one is applied horizontally at point B and the other vertically at point D. The vertical distance from B to the line AC is divided into sections: \(\frac{3}{4}a\) from B to line through C, and \(\frac{1}{4}a\) from line through C to C itself. Both loads act symmetrically with respect to the truss. The truss members form a series of interconnected triangles, influencing the internal forces within the structure.
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