# 3-18 - 202 Finite Element Analysis and Design 18. The...

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

202 Finite Element Analysis and Design 18. The stepped bar shown in the figure is subjected to a force at the center. Use FEM to determine the displacement field u ( x ), axial force distribution P ( x ), and reactions R L and R R . Assume: E = 100GPa, area of cross sections of the three portions shown are, respectively, 10 −4 m 2 , 2×10 −4 m 2 and 10 −4 m 2 , and F = 10,000 N. Solution: Define elements from left to right: Element 1: 0(left side)-0.3m Element 2: 0.3-0.5m(center position) Element 3: 0.5-0.7m Element 4: 0.7-1m(right side) (1) 8 1 1 1 10 3 EA k L , (2) 8 2 2 10 EA k L  , (3) 8 3 3 10 EA k L , (4) 8 4 4 1 10 3 EA k L Assembly: 1 2 8 4 3 4 5 11 0 0 0 33 0 14 1 0 0 0 0 1 2 1 0 10 10 41 0 0 0 1 0 0 0 0 L R R u u u F u u R         Applying boundary conditions: 2 84 3 4 4 10 0 3 10 1 2 1 10 40 01 3 u u u  

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

3-18 - 202 Finite Element Analysis and Design 18. The...

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

View Full Document
Ask a homework question - tutors are online