Question: Verify the nodal displacement solution given by (16.4.5) in Example 16.1. Equation 16.4.5 Data from example 16.1 U V U3 V3 0.492 0.081 0.441 -0.030

Verify the nodal displacement solution given by (16.4.5) in Example 16.1.

Equation 16.4.5

U V U3 V3 0.492 0.081 0.441 -0.030 Tx 10- m

Data from example 16.1

Consider the plane stress problem of an isotropic elastic plate under uniform tension with zero body forces,

y 4 3 1 1 (2) 2 3 3 2 2 T -X

The element mesh is labeled as shown with local node numbers within each element and global node numbers

In similar fashion for element 2, 61 = 0, B2 = 1, B3 = 1, y1 = -1, Y2 = 0, Y3 = 1, A1 = 1/2, and the element

These individual element equations are to be assembled to model the plate, and this is carried out using the

K+K K+K2 KO KO K+K23 K(! +K() K!! K(!) K16 13 K +K K K K K 33 K34 (1) 44 K+K K +K(2) 35 (1) K56 (1) U1 V U V

where U, and V; are the global x and y nodal displacements, and K and Kare the local stiffness components for

U V U3 V3 0.492 0.081 0.441 -0.030 Tx 10- m

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