For the four-noded bar element in Figure P10-4, show that the Jacobian determinate is |[J]| = L

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For the four-noded bar element in Figure P10-4, show that the Jacobian determinate is |[J]| = L / 2. Also determine the shape functions N₁ - N₄ and the strain/displacement matrix [B]. Assume u = α₁ + α₂s + α₃s² + α₄s³.

Figure P10-4

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For the four-noded bar element in Figure P10-4, show that the Jacobian determinate is |[J]| = L

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1 u 1 2 s 3 s 2 4 s 3 A x a 1 a 2 s a 3 s 2 4 s 3 B x 1 a 1 a 2 1 a ...View the full answer

A First Course in the Finite Element Method

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