y the method of sections to the analysis of the K-truss depicted in the figure below. stions: Establish whether the truss is statically determinate. Justify your answer mathematically. Determine the reactions at the supports A and K. Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP and state whether these bers are in compression or tension. 1800 lb B A C 1000 lb D I E R O F N 1200 lb Six panels @ 4 ft G S M 2000 lb H T L K 3 ft 1+ O 3 ft oblem 2 ntenna on a testing range, together with its supporting structure, weighs 300lb with a mass center
y the method of sections to the analysis of the K-truss depicted in the figure below. stions: Establish whether the truss is statically determinate. Justify your answer mathematically. Determine the reactions at the supports A and K. Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP and state whether these bers are in compression or tension. 1800 lb B A C 1000 lb D I E R O F N 1200 lb Six panels @ 4 ft G S M 2000 lb H T L K 3 ft 1+ O 3 ft oblem 2 ntenna on a testing range, together with its supporting structure, weighs 300lb with a mass center
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question

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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