In this assignment, you are assigned to analyze and solve the questions in a group. [CO3] Select suitable coordinates for each corner of tetrahedral element shown in Figure 1 in the unit of mm and determine its stiffness matrix (each group should have different coordinates). Let Elasticity of Modulus as 6 GPa and Poisson’s Number as 0.30.

1)      State out steps of the derivation of element equation for three-dimensional elasticity problem. [16 marks]

Given Data:

1)      Draw tetrahedral element on a graph paper with proper coordinates for each corner.

3) Evaluate the element stiffness matrix.

a) Determine element volume V. 

b) Calculate determinant for each α, β, γ, and δ

4. Determine shape function

a) Formulate Shape Function for N1, N2, N3, and N4.

b) Determine each element B and D.