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ES S 2-34. Determine the horizontal and vertical components of force at the connections A, B, and C. Assume each of these connections is a pin. 400 lb/ft -4 ft- B Prob. 4 k 12 ft 6 ft- Prob. 2-34 3 k +3 ft C 150 C

ES S 2-34. Determine the horizontal and vertical components of force at the connections A, B, and C. Assume each of these connections is a pin. 400 lb/ft -4 ft- B Prob. 4 k 12 ft 6 ft- Prob. 2-34 3 k +3 ft C 150 C

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem 2-34:** Determine the horizontal and vertical components of force at the connections \( A \), \( B \), and \( C \). Assume each of these connections is a pin. ### Diagram Description: The diagram illustrates a structural beam supported by three connections labeled \( A \), \( B \), and \( C \). Connection \( A \) is at the ground level on the left side, and \( C \) is attached to a vertical wall on the right side. The beam spans horizontally from \( A \) to \( C \) with \( B \) positioned between them. - **Forces:** - A distributed load of \( 400 \, \text{lb/ft} \) is applied vertically downward across the entire length of the beam to the left. - Point loads are applied on top of the beam: - \( 4 \, \text{kips (k)} \) acting downward at a distance of \( 4 \, \text{ft} \) from the left end. - \( 3 \, \text{kips (k)} \) acting downward at a distance of \( 6 \, \text{ft} \) from the left end. - Another \( 3 \, \text{kips (k)} \) acting downward at a distance of \( 3 \, \text{ft} \) from the right end. - **Dimensions:** - The horizontal span between \( A \) and \( B \) is \( 4 \, \text{ft} \). - The horizontal span between \( B \) and \( C \) is \( 6 \, \text{ft} \). - The vertical distance from the ground (at \( A \)) to the horizontal beam is \( 12 \, \text{ft} \). The objective is to find the horizontal and vertical forces at each pin connection (\( A \), \( B \), and \( C \)).
Transcribed Image Text:**Problem 2-34:** Determine the horizontal and vertical components of force at the connections \( A \), \( B \), and \( C \). Assume each of these connections is a pin. ### Diagram Description: The diagram illustrates a structural beam supported by three connections labeled \( A \), \( B \), and \( C \). Connection \( A \) is at the ground level on the left side, and \( C \) is attached to a vertical wall on the right side. The beam spans horizontally from \( A \) to \( C \) with \( B \) positioned between them. - **Forces:** - A distributed load of \( 400 \, \text{lb/ft} \) is applied vertically downward across the entire length of the beam to the left. - Point loads are applied on top of the beam: - \( 4 \, \text{kips (k)} \) acting downward at a distance of \( 4 \, \text{ft} \) from the left end. - \( 3 \, \text{kips (k)} \) acting downward at a distance of \( 6 \, \text{ft} \) from the left end. - Another \( 3 \, \text{kips (k)} \) acting downward at a distance of \( 3 \, \text{ft} \) from the right end. - **Dimensions:** - The horizontal span between \( A \) and \( B \) is \( 4 \, \text{ft} \). - The horizontal span between \( B \) and \( C \) is \( 6 \, \text{ft} \). - The vertical distance from the ground (at \( A \)) to the horizontal beam is \( 12 \, \text{ft} \). The objective is to find the horizontal and vertical forces at each pin connection (\( A \), \( B \), and \( C \)).
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