FEnotes_part2

FEnotes_part2 - Truss Element o The first element we will...

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1 Truss Element o The first element we will consider is a 2D truss element. o Supports an axial load only. o Element Forces There are 2 element forces, one applied at each node.
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2 o Element Displacements There are 2 element displacements, one at each node, 1 u and 2 u . The finite element method is based on the stiffness method. It is also based on strain-energy. Therefore it is what we call a displacement based method .
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3 How? We will use the Rayleigh-Ritz method to approximate the element displacement field,   0 ux . Solve for constants o Element Equilibrium Use strain energy to calculate the stiffness matrix k   for the element.
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4 TIME OUT: NOTATION For the truss element, 2 ij ij U k uu 
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5 TIME OUT: STIFFNESS METHOD
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6 TIME OUT: STIFFNESS METHOD CONT. So now we can write 1 1 2 2 EA EA u S LL u EA EA S    o
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This note was uploaded on 05/19/2010 for the course MAE 472 taught by Professor Peters during the Spring '08 term at N.C. State.

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FEnotes_part2 - Truss Element o The first element we will...

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