prob_07_03_06 - Problem 7.3-6 Given: Let uniform pressure p...

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

View Full Document Right Arrow Icon
1 2 3 4 5 6 7 8 9 10 r, x s, y t, z Pressure p acts on the bottom (-z) face Problem 7.3-6 Given: Let uniform pressure p act normal to one face of a quadratic tetrahedron that has straight edges and midedge nodes. What are the consistent loads at the nodes on this face. Solution: Let us make the element aligned with the x-y-z axes so this can be as easy as possible. We will use area coordinates to obtain an exact solution. From Eq. 7.3-4, for a planar 2-D element N 1 ξ 1 2 ξ 1 1 () = N 2 ξ 2 2 ξ 2 1 = N 3 ξ 3 2 ξ 3 1 = N 4 4 ξ 1 ξ 2 = N 5 4 ξ 2 ξ 3 = N 6 4 ξ 3 ξ 1 = Adapt these for the bottom face of the 3-D element using N 5 4 ξ 1 ξ 2 = N 8 4 ξ 2 ξ 3 = N 6 4 ξ 3 ξ 1 = Nd N 1 0 0 0 N 1 0 0 0 N 1 N 2 0 0 0 N 2 0 0 0 N 2 .... .... .... N 10 0 0 0 N 10 0 0 0 N 10 u 1 v 1 w 1 u 2 v 2 w 2 .... u 10 v 10 w 10 = rA N T 0 0 p
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/11/2011 for the course MAE 5020 taught by Professor Folkman during the Fall '10 term at Utah State University.

Page1 / 2

prob_07_03_06 - Problem 7.3-6 Given: Let uniform pressure p...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online