Consider the two nodes' axial bar element (no bending), with u(x) being the displacement function. Why is it taken as a linear function of x, and not a polynomial of a higher degree, be very specific? Suppose instead of a linear two nodes' element, we have a 3-node linear axial element. What would be the assumed format of u(x) and why? In a 9-node plane stress isoparametric element with "parent" coordinates s, t, what is the value of the shape function N3 (Sg, tg)? Same with N7(Sa, tg)? Reasons?
Consider the two nodes' axial bar element (no bending), with u(x) being the displacement function. Why is it taken as a linear function of x, and not a polynomial of a higher degree, be very specific? Suppose instead of a linear two nodes' element, we have a 3-node linear axial element. What would be the assumed format of u(x) and why? In a 9-node plane stress isoparametric element with "parent" coordinates s, t, what is the value of the shape function N3 (Sg, tg)? Same with N7(Sa, tg)? Reasons?
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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Subject: FINITE ELEMENT ANALYSIS
Transcribed Image Text:a)
Consider the two nodes' axial bar element (no bending), with u(x) being the displacement
function. Why is it taken as a linear function of x, and not a polynomial of a higher degree,
be very specific?
b) Suppose instead of a linear two nodes' element, we have a 3-node linear axial element.
What would be the assumed format of u(x) and why?
c) In a 9-node plane stress isoparametric element with "parent" coordinates s, t, what is the
value of the shape function Ng(Sg, tg)?
d) Same with N-(S3, t3)? Reasons?
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