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5-22. If the intensity of the distributed load acting on the beam is w=3 kN/m, determine the reactions at the roller A and pin B. 5-23. If the roller at A and the pin at B can support a load up to 4 kN and 8 kN, respectively, determine the maximum intensity of the distributed load w, measured in kN/m, so that failure of the supports does not occur.

5-22. If the intensity of the distributed load acting on the beam is w=3 kN/m, determine the reactions at the roller A and pin B. 5-23. If the roller at A and the pin at B can support a load up to 4 kN and 8 kN, respectively, determine the maximum intensity of the distributed load w, measured in kN/m, so that failure of the supports does not occur.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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5-22

### Problems 5-22/23 **5-22.** If the intensity of the distributed load acting on the beam is \( w = 3 \, \text{kN/m} \), determine the reactions at the roller \( A \) and pin \( B \). **5-23.** If the roller at \( A \) and the pin at \( B \) can support a load up to \( 4 \, \text{kN} \) and \( 8 \, \text{kN} \), respectively, determine the maximum intensity of the distributed load \( w \), measured in \( \text{kN/m} \), so that failure of the supports does not occur. ### Diagram Description The diagram shows a beam with two sections and a distributed load across part of it. The beam is supported at point \( A \) by a roller and at point \( B \) by a pin. The beam forms a \( 30^\circ \) angle at one section, with the following dimensions: - The horizontal section connecting the roller \( A \) to the elbow is \( 3 \, \text{m} \) long. - The slanted section connecting \( B \) to the elbow is \( 4 \, \text{m} \) long. - The distributed load, denoted by \( w \), is applied on the slanted section ending at pin \( B \). Arrows representing the distributed load point downward, indicating the direction of the load's force.
Transcribed Image Text:### Problems 5-22/23 **5-22.** If the intensity of the distributed load acting on the beam is \( w = 3 \, \text{kN/m} \), determine the reactions at the roller \( A \) and pin \( B \). **5-23.** If the roller at \( A \) and the pin at \( B \) can support a load up to \( 4 \, \text{kN} \) and \( 8 \, \text{kN} \), respectively, determine the maximum intensity of the distributed load \( w \), measured in \( \text{kN/m} \), so that failure of the supports does not occur. ### Diagram Description The diagram shows a beam with two sections and a distributed load across part of it. The beam is supported at point \( A \) by a roller and at point \( B \) by a pin. The beam forms a \( 30^\circ \) angle at one section, with the following dimensions: - The horizontal section connecting the roller \( A \) to the elbow is \( 3 \, \text{m} \) long. - The slanted section connecting \( B \) to the elbow is \( 4 \, \text{m} \) long. - The distributed load, denoted by \( w \), is applied on the slanted section ending at pin \( B \). Arrows representing the distributed load point downward, indicating the direction of the load's force.
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