Show the zero force members on the figure (label them on the figure and list them on the side). Note: you don't have to solve the entire structure) D E 60 kips В F A M L K G H 180 kips 120 kips

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Diagram Analysis of Truss Structure

The image depicts a truss structure with various members and joints. The purpose is to identify and label the zero-force members. These members do not carry any force and are critical in analyzing the stability and efficiency of the structure.

#### Description of the Truss Structure:

- **Joints and Members:**
  - The structure consists of joints labeled from A to M.
  - The members connect these joints forming triangular and rectangular shapes typical in trusses.

- **External Forces:**
  - A downward force of 60 kips is applied at joint B.
  - There are upward reactions at the supports: 180 kips at joint I and 120 kips at joint H.

- **Primary Components:**
  - **Horizontal Members:** AM, DE, EF
  - **Vertical Members:** EJ, FG, HI
  - **Diagonal Members:** Connect various joints forming triangles.

#### Zero-Force Members:

To identify zero-force members in such structures, use the following rules common in truss analysis:

1. **At a Joint with No External Load or Support:**
   If two non-collinear members meet at a joint without any external load or support, these members are zero-force.

2. **At a Joint with Two Members:**
   If three members form a truss joint and two of them are collinear, the third member is a zero-force member.

### Application on the Structure:

- Identify joints where the above rules can be applied to determine zero-force members.
- Label these members on the diagram for clear distinction.

This analysis helps in simplifying the structure for further calculations related to forces and moments in the truss. Understanding which members do not contribute to the force distribution allows for optimizing the design and material use in construction projects.
Transcribed Image Text:### Diagram Analysis of Truss Structure The image depicts a truss structure with various members and joints. The purpose is to identify and label the zero-force members. These members do not carry any force and are critical in analyzing the stability and efficiency of the structure. #### Description of the Truss Structure: - **Joints and Members:** - The structure consists of joints labeled from A to M. - The members connect these joints forming triangular and rectangular shapes typical in trusses. - **External Forces:** - A downward force of 60 kips is applied at joint B. - There are upward reactions at the supports: 180 kips at joint I and 120 kips at joint H. - **Primary Components:** - **Horizontal Members:** AM, DE, EF - **Vertical Members:** EJ, FG, HI - **Diagonal Members:** Connect various joints forming triangles. #### Zero-Force Members: To identify zero-force members in such structures, use the following rules common in truss analysis: 1. **At a Joint with No External Load or Support:** If two non-collinear members meet at a joint without any external load or support, these members are zero-force. 2. **At a Joint with Two Members:** If three members form a truss joint and two of them are collinear, the third member is a zero-force member. ### Application on the Structure: - Identify joints where the above rules can be applied to determine zero-force members. - Label these members on the diagram for clear distinction. This analysis helps in simplifying the structure for further calculations related to forces and moments in the truss. Understanding which members do not contribute to the force distribution allows for optimizing the design and material use in construction projects.
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