CVEN9820: Computational Structural Mechanic - Engineering Assignment Help

Assignment Task:

Task:

2. Verify the following properties of the shape functions
(a) N1(x1, y1) = 1; N1(x2, y2) = 0; N1(x3, y3) = 0
(b) N1(x, y) + N2(x, y) + N3(x, y) = 1.
3. Determine the entries of the [B]-matrix related to Node 3
4. Determine the 2 × 2 diagonal block of the element stiffness matrix related to Node 3
5. Solve the displacements at node 3
6. Evaluate the element stresses

The global stiffness matrix [K] of the mesh is to be stored as a full matrix. The degrees of freedomm are the nodal displacements u and v numbered sequentially starting from u at node 1 (i.e. u1, v1, u2, v2, . . . ).

In the element connectivity table as below, indicate the entries of element 1 + s1 + s2 + s3 (according to your student ID) Element Local Node 1 Local Node 2 Local Node 3 Local Node 4

According to your element connectivity table,
1. Indicate the positions (row and column numbers) of the stiffness coefficients k11, k61 and k57 of this element
2. Assuming that the origin of the coordinates is placed at the centre of the element, Calculate the [B]-matrix needed to evaluate the strains at the centre of this element.

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