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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
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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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.
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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