Evaluate the stiffness matrix for the four-noded bar of Problem 10.4 using three-point G...

Evaluate the stiffness matrix for the four-noded bar of Problem 10.4 using three-point Gaussian quadrature.

Problem 10.4

For the four-noded bar element in Figure P10–4, show that the Jacobian determinate is . Also determine the shape functions N₁ - N₄ and the strain/displacement matrix [B]. Assume .