Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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### K-Truss Analysis Using the Method of Sections

**Questions:**
1. **(a)** Establish whether the truss is statically determinate. Justify your answer mathematically.
2. **(b)** Determine the reactions at the supports A and K.
3. **(c)** Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP. State whether these members are in compression or tension.

**Diagram:**

The diagram is of a K-truss structure. Key features include:

- Multiple panels labeled C through I.
- Support reactions are located at points A and K.
- External loads applied: 1800 lb at C, 1000 lb at P, 1200 lb at O, and 2000 lb at M.
- The truss consists of six panels, each 4 feet wide.
- Points P and O are highlighted with red cuts labeled ① and ②.

---

### Problem 2: Antenna Support Truss Analysis

**Description:**
An antenna and its supporting structure weigh 300 lb with the mass center at point C. It's assumed that 1/4 of the weight is supported by pins at A and B, with the rest carried by an identical truss behind the one shown.

**Questions:**
1. **(a)** Establish whether the truss is statically determinate. Justify your answer mathematically.
2. **(b)** Compute the horizontal components of the pin reactions at A and B.
3. **(c)** Find the forces in members DF, DG, AH, and AB. Identify which force depends on the assumption about "1/4 of the weight".

**Diagram:**

Similar to the K-truss, featuring multiple triangles typically used for stability. Forces are distributed across its nodes.

---

**Note:** Detailed mathematical calculations are necessary to resolve the queries in both problems.
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Transcribed Image Text:### K-Truss Analysis Using the Method of Sections **Questions:** 1. **(a)** Establish whether the truss is statically determinate. Justify your answer mathematically. 2. **(b)** Determine the reactions at the supports A and K. 3. **(c)** Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP. State whether these members are in compression or tension. **Diagram:** The diagram is of a K-truss structure. Key features include: - Multiple panels labeled C through I. - Support reactions are located at points A and K. - External loads applied: 1800 lb at C, 1000 lb at P, 1200 lb at O, and 2000 lb at M. - The truss consists of six panels, each 4 feet wide. - Points P and O are highlighted with red cuts labeled ① and ②. --- ### Problem 2: Antenna Support Truss Analysis **Description:** An antenna and its supporting structure weigh 300 lb with the mass center at point C. It's assumed that 1/4 of the weight is supported by pins at A and B, with the rest carried by an identical truss behind the one shown. **Questions:** 1. **(a)** Establish whether the truss is statically determinate. Justify your answer mathematically. 2. **(b)** Compute the horizontal components of the pin reactions at A and B. 3. **(c)** Find the forces in members DF, DG, AH, and AB. Identify which force depends on the assumption about "1/4 of the weight". **Diagram:** Similar to the K-truss, featuring multiple triangles typically used for stability. Forces are distributed across its nodes. --- **Note:** Detailed mathematical calculations are necessary to resolve the queries in both problems.
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