Consider the plane structure below which represents a wellbo

Consider the plane structure below which represents a well-bonded copper connect in an electronic curcuit. One corner is constrained such that a force is applied outwards, along the diagonal of the connect. Assuming plane stress, determine the displacements at the load point, using:

A) Triangular elements

B) Rectangular element

Solution

displacement approximation

triangular method

= N.d

N=(a+bx+cy)/2A

A= Area

1/2 det matrix 1 x1 y1

1 x2 y2

1 x3 y3

displacement

u = N d

N = 1

d = 2

u = 2

Dispalcement by rectangular element method