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Problem 6 4-5. The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in member BC becomes 1500 N. Determine the largest load w it can support. -4 m- D -4 m- -4 m- 3 m

Problem 6 4-5. The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in member BC becomes 1500 N. Determine the largest load w it can support. -4 m- D -4 m- -4 m- 3 m

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 6** **4-5.** The beam \( AB \) will fail if the maximum internal moment at \( D \) reaches \( 800 \, \text{N} \cdot \text{m} \) or the normal force in member \( BC \) becomes \( 1500 \, \text{N} \). Determine the largest load \( w \) it can support. **Diagram Explanation:** The diagram shows a structural system consisting of a beam \( AB \), which is horizontal and 8 meters long from point \( A \) to point \( B \). At point \( B \), there is a joint connecting to a slanted member \( BC \) that extends diagonally downward and to the right over a horizontal distance of 4 meters and a vertical distance of 3 meters, ending at point \( C \). The beam \( AB \) is supported at point \( A \) and subjected to distributed loads represented by downward arrows labeled \( w \). The distance from point \( A \) to point \( D \) is 4 meters. The points \( A \), \( B \), and \( C \) indicate support or connection locations, with \( A \) and \( C \) being grounded supports. Your task is to determine the maximum uniformly distributed load \( w \) that the system can sustain without exceeding the given failure conditions: - Internal moment at point \( D \): \( 800 \, \text{N} \cdot \text{m} \) - Normal force in member \( BC \): \( 1500 \, \text{N} \)
Transcribed Image Text:**Problem 6** **4-5.** The beam \( AB \) will fail if the maximum internal moment at \( D \) reaches \( 800 \, \text{N} \cdot \text{m} \) or the normal force in member \( BC \) becomes \( 1500 \, \text{N} \). Determine the largest load \( w \) it can support. **Diagram Explanation:** The diagram shows a structural system consisting of a beam \( AB \), which is horizontal and 8 meters long from point \( A \) to point \( B \). At point \( B \), there is a joint connecting to a slanted member \( BC \) that extends diagonally downward and to the right over a horizontal distance of 4 meters and a vertical distance of 3 meters, ending at point \( C \). The beam \( AB \) is supported at point \( A \) and subjected to distributed loads represented by downward arrows labeled \( w \). The distance from point \( A \) to point \( D \) is 4 meters. The points \( A \), \( B \), and \( C \) indicate support or connection locations, with \( A \) and \( C \) being grounded supports. Your task is to determine the maximum uniformly distributed load \( w \) that the system can sustain without exceeding the given failure conditions: - Internal moment at point \( D \): \( 800 \, \text{N} \cdot \text{m} \) - Normal force in member \( BC \): \( 1500 \, \text{N} \)
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