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50 N +d+ -450 mm SOLUTION 100 N -450 mm 150 N B 50N PROBLEM 4.13 The maximum allowable value of each of the reactions is 180 N. Neglecting the weight of the beam, determine the range of the distance d for which the beam is safe. et dd 100N 0.45'm 0.45m ΣF = 0; B = 0 315, -

50 N +d+ -450 mm SOLUTION 100 N -450 mm 150 N B 50N PROBLEM 4.13 The maximum allowable value of each of the reactions is 180 N. Neglecting the weight of the beam, determine the range of the distance d for which the beam is safe. et dd 100N 0.45'm 0.45m ΣF = 0; B = 0 315, -

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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**Problem 4.13** The problem involves a beam subjected to three forces (50 N, 100 N, and 150 N) at specified points. The objective is to determine the range for the distance \( d \) that ensures the beam remains safe. The maximum allowable reaction at the supports is 180 N. The weight of the beam is neglected in this calculation. **Problem Statement:** - A beam is supported at two points, A and B. - Harsh forces are applied downward at particular distances: - 50 N force at point A - 100 N force at 450 mm from point A - 150 N force at 900 mm from point A - The distance \( d \) is the variable distance from the leftmost edge of the beam to point A. **Diagram Explanation:** - The beam is shown horizontally with point A on a roller and point B on a hinge. - The distances from the forces to point A are marked. - Diagram notes the structure and constraints: - \(\Sigma F_x = 0 : Bx = 0\) **Solution:** - The solution sketch indicates equilibrium equations for summing forces and moments. **Note:** The detailed calculations and results for determining \( d \) would involve setting up equilibrium equations for forces and moments, considering the reactions at supports A and B, and ensuring they do not exceed 180 N.
Transcribed Image Text:**Problem 4.13** The problem involves a beam subjected to three forces (50 N, 100 N, and 150 N) at specified points. The objective is to determine the range for the distance \( d \) that ensures the beam remains safe. The maximum allowable reaction at the supports is 180 N. The weight of the beam is neglected in this calculation. **Problem Statement:** - A beam is supported at two points, A and B. - Harsh forces are applied downward at particular distances: - 50 N force at point A - 100 N force at 450 mm from point A - 150 N force at 900 mm from point A - The distance \( d \) is the variable distance from the leftmost edge of the beam to point A. **Diagram Explanation:** - The beam is shown horizontally with point A on a roller and point B on a hinge. - The distances from the forces to point A are marked. - Diagram notes the structure and constraints: - \(\Sigma F_x = 0 : Bx = 0\) **Solution:** - The solution sketch indicates equilibrium equations for summing forces and moments. **Note:** The detailed calculations and results for determining \( d \) would involve setting up equilibrium equations for forces and moments, considering the reactions at supports A and B, and ensuring they do not exceed 180 N.
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Step 1: Determine the given data

Maximum space value space of space reaction space forces space can space be space taken space as minus straight A equals 180 space straight N straight B subscript straight y equals 180 space straight N

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The range of the distance d

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