# 6-18 - CHAP 6 Finite Elements for Plane Solids 331 18 A...

This preview shows pages 1–2. Sign up to view the full content.

CHAP 6 Finite Elements for Plane Solids 331 18. A quadrilateral element in the figure is mapped into the parent element. (a) A point P has a coordinate ( x, y ) = (½, y ) in the physical element and ( s, t ) = (−½, t ) in the parent element. Find y and t coordinates of the point using isoparametric mapping. (b) Calculate the Jacobian matrix at the center of the element. (c) Is the mapping valid? Explain your answer. Solution: (a) Using isoparametric interpolation of point P , 1 1 1 2 4 4 11 44 (1 )(1 ) 1 ) 1 ) 1 ) 1 s t s t y s t s t     (1) Substitute s = 1/2 in the first equation 1 3 1 1 1 4 2 4 2 2 ) ) tt The above equation can be solved for t = 0. Now substitute s = 1/2 and t = 0 into second equation, 1 1 1 1 3 4 2 4 2 8 2 y   (b) From Eq. (1) with unknowns s and

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.

### Page1 / 2

6-18 - CHAP 6 Finite Elements for Plane Solids 331 18 A...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online