Suppose that F = 11 kN. Determine the force in member HIHI of the truss. Determine the force in member FI of the truss. Determine the force in member EF of the truss.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Suppose that F = 11 kN.

Determine the force in member HIHI of the truss.

Determine the force in member FI of the truss.

Determine the force in member EF of the truss.

The image illustrates a truss bridge structure with supports, joints, and external loads. The truss is composed of interconnected members forming triangular units.

**Description:**

1. **Supports:**
   - Left support at point A: A pin support, allowing rotation and vertical/horizontal reactions.
   - Right support at point G: A roller support, permitting vertical movement and a vertical reaction force.

2. **Truss Members and Joints:**
   - The truss consists of horizontal members (AB, BC, CD, DE, EF, FG), vertical members (BK, DJ, FL, HI), and diagonal members (LB, KC, KJ, JI, IH).
   - Key joints include points A, B, C, D, E, F, G, H, I, J, K, and L.
   - The top joints (K, J, I) form the apex of the triangular sections.

3. **Loads:**
   - A 4 kN downward force is applied at joint B.
   - A 5 kN downward force is applied at joint C.
   - A 6 kN downward force is applied at joint F.

4. **Dimensions:**
   - The horizontal distance between adjacent joints (A to B, B to C, C to D, etc.) is 2 meters.
   - Vertical height from the base line to the apex of the truss (points K, J, I) is 3 meters.

**Functionality:**

The truss is designed to distribute loads efficiently across its members, ensuring structural integrity while supporting external forces. The triangular configuration helps to stabilize the structure by effectively managing tension and compression within the members.
Transcribed Image Text:The image illustrates a truss bridge structure with supports, joints, and external loads. The truss is composed of interconnected members forming triangular units. **Description:** 1. **Supports:** - Left support at point A: A pin support, allowing rotation and vertical/horizontal reactions. - Right support at point G: A roller support, permitting vertical movement and a vertical reaction force. 2. **Truss Members and Joints:** - The truss consists of horizontal members (AB, BC, CD, DE, EF, FG), vertical members (BK, DJ, FL, HI), and diagonal members (LB, KC, KJ, JI, IH). - Key joints include points A, B, C, D, E, F, G, H, I, J, K, and L. - The top joints (K, J, I) form the apex of the triangular sections. 3. **Loads:** - A 4 kN downward force is applied at joint B. - A 5 kN downward force is applied at joint C. - A 6 kN downward force is applied at joint F. 4. **Dimensions:** - The horizontal distance between adjacent joints (A to B, B to C, C to D, etc.) is 2 meters. - Vertical height from the base line to the apex of the truss (points K, J, I) is 3 meters. **Functionality:** The truss is designed to distribute loads efficiently across its members, ensuring structural integrity while supporting external forces. The triangular configuration helps to stabilize the structure by effectively managing tension and compression within the members.
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