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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
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Using Castigliano's theorem, determine the deflection of point \( B \) in the direction of the force \( F = 15 \) lbf for the steel bar shown in the figure where \( a = 20 \) in, \( b = 7 \) in, and the diameter is \( d = 0.75 \) in. [Diagram Description] - The figure illustrates a steel bar fixed at one end to a wall, labeled as point \( O \). - The bar extends horizontally from \( O \), then bends vertically downward at point \( A \). - The horizontal section of the bar is labeled as length \( a \), measuring 20 inches. - The vertical section of the bar is labeled as length \( b \), measuring 7 inches. - The diameter of the bar is given as \( d = 0.75 \) inches. - A downward force \( F \) of 15 lbf is applied at point \( B \), which is located at the end of the vertical section. - Points and lengths are dimensioned with arrows indicating direction. The deflection of point \( B \) in the direction of force is \(\_\_\_\_) in.
Transcribed Image Text:Using Castigliano's theorem, determine the deflection of point \( B \) in the direction of the force \( F = 15 \) lbf for the steel bar shown in the figure where \( a = 20 \) in, \( b = 7 \) in, and the diameter is \( d = 0.75 \) in. [Diagram Description] - The figure illustrates a steel bar fixed at one end to a wall, labeled as point \( O \). - The bar extends horizontally from \( O \), then bends vertically downward at point \( A \). - The horizontal section of the bar is labeled as length \( a \), measuring 20 inches. - The vertical section of the bar is labeled as length \( b \), measuring 7 inches. - The diameter of the bar is given as \( d = 0.75 \) inches. - A downward force \( F \) of 15 lbf is applied at point \( B \), which is located at the end of the vertical section. - Points and lengths are dimensioned with arrows indicating direction. The deflection of point \( B \) in the direction of force is \(\_\_\_\_) in.
Expert Solution
Step 1: Introduction

To find the deflection at point B by Castigliano's theorem

the length a = 20 in 

 the length b = 7 in

diameter, d= 0.75 in 

force, F =15 lbf 


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