Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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**Problem 6.39**

**Consider the truss shown in (Figure 1). Suppose that \( F_1 = 4 \, \text{kN} \) and \( F_2 = 5.5 \, \text{kN} \). After the truss is sectioned use a single equation of equilibrium for the calculation of each of the required forces.**

---

**Diagram Explanation:**

The diagram shows a truss with various members labeled from A to H. It has five vertical forces acting on it:

- A 2 kN force at point A.
- Two 4 kN forces labeled \( F_1 \) between points B and C.
- A 5.5 kN force labeled \( F_2 \) at point D.
- A 3 kN force at point E.

The truss is supported horizontally from points A to E, with horizontal distances of 5 m between each subsequent support (A-B, B-C, etc.).

Additionally, there are vertical measurements marked on the right side for the height of the truss, indicating 3 m and 2 m in different sections.

---

**Part B**

**Determine the force in member \( HC \). State if this member is in tension or compression.**

Express your answer to three significant figures and include the appropriate units. Use a negative value in the case of compression and positive value in the case of tension.

\[ F_{HC} = 1.70 \, \text{kN} \]

Status: Incorrect, try again; 3 attempts remaining.

---

This problem involves analyzing the forces on a truss, determining equilibrium, and calculating the forces within individual members.
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Transcribed Image Text:**Problem 6.39** **Consider the truss shown in (Figure 1). Suppose that \( F_1 = 4 \, \text{kN} \) and \( F_2 = 5.5 \, \text{kN} \). After the truss is sectioned use a single equation of equilibrium for the calculation of each of the required forces.** --- **Diagram Explanation:** The diagram shows a truss with various members labeled from A to H. It has five vertical forces acting on it: - A 2 kN force at point A. - Two 4 kN forces labeled \( F_1 \) between points B and C. - A 5.5 kN force labeled \( F_2 \) at point D. - A 3 kN force at point E. The truss is supported horizontally from points A to E, with horizontal distances of 5 m between each subsequent support (A-B, B-C, etc.). Additionally, there are vertical measurements marked on the right side for the height of the truss, indicating 3 m and 2 m in different sections. --- **Part B** **Determine the force in member \( HC \). State if this member is in tension or compression.** Express your answer to three significant figures and include the appropriate units. Use a negative value in the case of compression and positive value in the case of tension. \[ F_{HC} = 1.70 \, \text{kN} \] Status: Incorrect, try again; 3 attempts remaining. --- This problem involves analyzing the forces on a truss, determining equilibrium, and calculating the forces within individual members.
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