Fig Q3 shows a uniform cantilever beam of length L which is loaded by a linearly varying load: w(x)= wo where w is the load per unit length at the fixed end (x =0). w(x) Fig Q3: A uniform cantilever beam (a) Using Ritz method, derive a two-term polynomial function to approximate the transverse displacement (u) of the beam. Total potential energy (TPE) for a beam under bending load is: TPE= EI du 2 dr² -w(x)udx where E is Young's modulus and I is second moment of area.
Fig Q3 shows a uniform cantilever beam of length L which is loaded by a linearly varying load: w(x)= wo where w is the load per unit length at the fixed end (x =0). w(x) Fig Q3: A uniform cantilever beam (a) Using Ritz method, derive a two-term polynomial function to approximate the transverse displacement (u) of the beam. Total potential energy (TPE) for a beam under bending load is: TPE= EI du 2 dr² -w(x)udx where E is Young's modulus and I is second moment of area.
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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Question
![Fig Q3 shows a uniform cantilever beam of length L which is loaded
by a linearly varying load:
w(x)= wo
where w is the load per unit length at the fixed end (x =0).
w(x)
Fig Q3: A uniform cantilever beam
(a) Using Ritz method, derive a two-term polynomial function to
approximate the transverse displacement (u) of the beam.
Total potential energy (TPE) for a beam under bending load is:
TPE=
EI du
2 dr²
-w(x)udx
where E is Young's modulus and I is second moment of area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7419f2cc-aeda-4dec-9d87-b880641fc307%2F61b39bed-3cf4-4904-88ba-c8ab5c70e78a%2Fhwug6b_processed.png&w=3840&q=75)
Transcribed Image Text:Fig Q3 shows a uniform cantilever beam of length L which is loaded
by a linearly varying load:
w(x)= wo
where w is the load per unit length at the fixed end (x =0).
w(x)
Fig Q3: A uniform cantilever beam
(a) Using Ritz method, derive a two-term polynomial function to
approximate the transverse displacement (u) of the beam.
Total potential energy (TPE) for a beam under bending load is:
TPE=
EI du
2 dr²
-w(x)udx
where E is Young's modulus and I is second moment of area.
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