(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
(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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
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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