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
icon
Related questions
Question

Please don't provide handwritten solution ...... 

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 


steps

Step by step

Solved in 5 steps with 13 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY