5-42. The boom supports the two vertical loads. Neglect the size of the collars at D and B and the thickness of the boom, and compute the horizontal and vertical components of force at the pin A and the force in cable CB. Set 800 N and F2 = 350 N. F1

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Just 5-42

**Problem 5-42:**

The boom supports the two vertical loads. Neglect the size of the collars at \(D\) and \(B\) and the thickness of the boom, and compute the horizontal and vertical components of force at the pin \(A\) and the force in cable \(CB\). Set \(F_1 = 800 \, \text{N}\) and \(F_2 = 350 \, \text{N}\).

**Problem 5-43:**

The boom is intended to support two vertical loads, \(F_1\) and \(F_2\). If the cable \(CB\) can sustain a maximum load of 1500 N before it fails, determine the critical loads if \(F_1 = 2F_2\). Also, what is the magnitude of the maximum reaction at pin \(A\)?

**Diagram Explanation:**

The diagram shows a boom system with a wall at point \(C\) and a pin at point \(A\). The boom extends to point \(B\) and is supported by a cable \(CB\). The boom angles are labeled, with \(A\) connected to the horizontal axis at \(30^\circ\). Vertical loads \(F_1\) and \(F_2\) act downward at points \(D\) and \(B\), respectively. The distances along the boom are labeled as 1.5 m from \(A\) to \(D\) and 1 m from \(D\) to \(B\). The cable forms a right triangle with the boom, labeled with side ratios of 3:4:5. 

**Probs. 5–42/43**
Transcribed Image Text:**Problem 5-42:** The boom supports the two vertical loads. Neglect the size of the collars at \(D\) and \(B\) and the thickness of the boom, and compute the horizontal and vertical components of force at the pin \(A\) and the force in cable \(CB\). Set \(F_1 = 800 \, \text{N}\) and \(F_2 = 350 \, \text{N}\). **Problem 5-43:** The boom is intended to support two vertical loads, \(F_1\) and \(F_2\). If the cable \(CB\) can sustain a maximum load of 1500 N before it fails, determine the critical loads if \(F_1 = 2F_2\). Also, what is the magnitude of the maximum reaction at pin \(A\)? **Diagram Explanation:** The diagram shows a boom system with a wall at point \(C\) and a pin at point \(A\). The boom extends to point \(B\) and is supported by a cable \(CB\). The boom angles are labeled, with \(A\) connected to the horizontal axis at \(30^\circ\). Vertical loads \(F_1\) and \(F_2\) act downward at points \(D\) and \(B\), respectively. The distances along the boom are labeled as 1.5 m from \(A\) to \(D\) and 1 m from \(D\) to \(B\). The cable forms a right triangle with the boom, labeled with side ratios of 3:4:5. **Probs. 5–42/43**
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