(3) Identify all the zero-force members. Determine the force in members JK, JN, and CD. State if the members are in tension or compression. A M B 20 ft K C 2 k N 30 ft H DE -20 ft 2 k G 20 ft F

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Zero-Force Members in Truss Structures**

**Objective:** Identify all the zero-force members.

Determine the force in members JK, JN, and CD. State if the members are in tension or compression.

**Truss Diagram Description:**

The truss structure depicted is a symmetrical arrangement with a series of interconnected members forming triangular units. It spans horizontally with a total length of 70 feet and has a vertical height of 20 feet at its highest point.

**Key Features:**

- **Nodes:** Significant connection points labeled from A to J.
  
- **Members:** Bars or segments joining the nodes. Specific members of interest for force analysis are JK, JN, and CD.
  
- **Support:** 
  - At node A, there is a pin support allowing rotation but not translation.
  - At node F, there is a roller support, which allows horizontal movement.

- **Loads:**
  - There are two downward loads of 2 kips each applied at nodes C and D, both equal and separated by 30 feet longitudinally.

**Geometry:**

- The entire horizontal span is divided into three sections:
  - AB is 20 feet.
  - BC is 30 feet.
  - CD is 30 feet.
  
- The vertical measurements indicate the highest point of 20 feet from base point G to apex J. 

**Analysis Requirements:**

1. **Zero-Force Members:** Identify members in the system that do not carry any force under specific loading conditions, aiding in simplifying the truss analysis.
  
2. **Force Determination:**
   - Evaluate forces in specific members JK, JN, and CD.
   - Determine if these members exist in a state of tension (pulling apart) or compression (pushing together).
Transcribed Image Text:**Zero-Force Members in Truss Structures** **Objective:** Identify all the zero-force members. Determine the force in members JK, JN, and CD. State if the members are in tension or compression. **Truss Diagram Description:** The truss structure depicted is a symmetrical arrangement with a series of interconnected members forming triangular units. It spans horizontally with a total length of 70 feet and has a vertical height of 20 feet at its highest point. **Key Features:** - **Nodes:** Significant connection points labeled from A to J. - **Members:** Bars or segments joining the nodes. Specific members of interest for force analysis are JK, JN, and CD. - **Support:** - At node A, there is a pin support allowing rotation but not translation. - At node F, there is a roller support, which allows horizontal movement. - **Loads:** - There are two downward loads of 2 kips each applied at nodes C and D, both equal and separated by 30 feet longitudinally. **Geometry:** - The entire horizontal span is divided into three sections: - AB is 20 feet. - BC is 30 feet. - CD is 30 feet. - The vertical measurements indicate the highest point of 20 feet from base point G to apex J. **Analysis Requirements:** 1. **Zero-Force Members:** Identify members in the system that do not carry any force under specific loading conditions, aiding in simplifying the truss analysis. 2. **Force Determination:** - Evaluate forces in specific members JK, JN, and CD. - Determine if these members exist in a state of tension (pulling apart) or compression (pushing together).
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