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Determine the reactions at the supports of the beam which is loaded as shown. Assume w₁660 N/m, w₂ = 400 N/m, a = 6.6 m, b = 1.2 m.

Determine the reactions at the supports of the beam which is loaded as shown. Assume w₁660 N/m, w₂ = 400 N/m, a = 6.6 m, b = 1.2 m.

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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8.2

**Beam Support Reaction Calculation** Determine the reactions at the supports of the beam which is loaded as shown. Assume \( w_1 = 660 \, \text{N/m} \), \( w_2 = 400 \, \text{N/m} \), \( a = 6.6 \, \text{m} \), \( b = 1.2 \, \text{m} \). ### Diagram Explanation The provided diagram represents a simply supported beam with point \( A \) at the left support and point \( B \) at the right support. The beam experiences a triangular distributed load starting with an intensity of \( w_1 \) at \( A \) and reducing linearly to \( w_2 \) over a distance \( a \). Beyond \( a \), a uniform load of intensity \( w_2 \) continues for an additional distance \( b \). - \( A \): Left support with vertical reaction \( A_y \). - \( B \): Right support with vertical reaction \( B_y \). ### Given Values: - \( w_1 = 660 \, \text{N/m} \) - \( w_2 = 400 \, \text{N/m} \) - \( a = 6.6 \, \text{m} \) - \( b = 1.2 \, \text{m} \) ### Required: Calculate the reactions at supports \( A \) and \( B \). ### Answers: - \( A_x = 0 \, \text{N} \) - \( A_y = 1897 \, \text{N} \) - \( B_y = 2560 \, \text{N} \)
Transcribed Image Text:**Beam Support Reaction Calculation** Determine the reactions at the supports of the beam which is loaded as shown. Assume \( w_1 = 660 \, \text{N/m} \), \( w_2 = 400 \, \text{N/m} \), \( a = 6.6 \, \text{m} \), \( b = 1.2 \, \text{m} \). ### Diagram Explanation The provided diagram represents a simply supported beam with point \( A \) at the left support and point \( B \) at the right support. The beam experiences a triangular distributed load starting with an intensity of \( w_1 \) at \( A \) and reducing linearly to \( w_2 \) over a distance \( a \). Beyond \( a \), a uniform load of intensity \( w_2 \) continues for an additional distance \( b \). - \( A \): Left support with vertical reaction \( A_y \). - \( B \): Right support with vertical reaction \( B_y \). ### Given Values: - \( w_1 = 660 \, \text{N/m} \) - \( w_2 = 400 \, \text{N/m} \) - \( a = 6.6 \, \text{m} \) - \( b = 1.2 \, \text{m} \) ### Required: Calculate the reactions at supports \( A \) and \( B \). ### Answers: - \( A_x = 0 \, \text{N} \) - \( A_y = 1897 \, \text{N} \) - \( B_y = 2560 \, \text{N} \)
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