2. Method of Joints: Using the method of joints (no other method is acceptable), determine the reactions and the force in each member of the trusses shown below and indicate whether the member is in tension or compression. Must show the following a. Free-body diagram of each joint being analyzed. b. Calculations. c. Force summary diagram. 10 kN 20 kN 100 KN E 6 m 100 kN B 8 m 8 m Note: Support E is pinned and support F is a roller.
2. Method of Joints: Using the method of joints (no other method is acceptable), determine the reactions and the force in each member of the trusses shown below and indicate whether the member is in tension or compression. Must show the following a. Free-body diagram of each joint being analyzed. b. Calculations. c. Force summary diagram. 10 kN 20 kN 100 KN E 6 m 100 kN B 8 m 8 m Note: Support E is pinned and support F is a roller.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Can someone please help me to solve the following question showing all work and needed diagrams. Please and thank you!
Transcribed Image Text:### Method of Joints:
**Objective**: Using the method of joints (no other method is acceptable), determine the reactions and the force in each member of the trusses shown below. Indicate whether each member is in tension or compression.
**Requirements**:
- **a.** Free-body diagram of each joint being analyzed.
- **b.** Calculations.
- **c.** Force summary diagram.
---
**Diagram Explanation**:
The schematic illustrates a truss structure with support and forces applied:
- **Nodes**: Points are labeled from A to F.
- **Supports**: Point E is a pinned support, and point F is a roller support.
- **Forces**: Applied at various points.
- 100 kN forces are applied vertically downward at nodes A and B.
- A 10 kN force is applied horizontally to the right at node C.
- A 20 kN force is applied horizontally to the left at node C.
**Members and Dimensions**:
- The truss consists of horizontal and vertical members connecting the nodes.
- The height of each section is 8 m.
- The horizontal distance between supports E and F is 6 m.
The free-body diagram and calculations should include these details to find member forces and distinguish whether they are in tension or compression.
**Note**: Support E is pinned and support F is a roller.
To apply the method of joints, analyze each joint individually, calculate the forces, and ensure equilibrium at each point, considering both vertical and horizontal components.
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