The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
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Timoshenko Beam<br />
In a Timoshenko Beam, a plane normal to<br />
<strong>the</strong> beam axis be<strong>for</strong>e de<strong>for</strong>mation doesnt<br />
remain normal after de<strong>for</strong>mation (short <strong>and</strong><br />
thick beams, s<strong>and</strong>wich composite beams).<br />
i.e. θ ≠ dv<br />
dx :<br />
γ = −θ + dv Transverse Shear strain<br />
dx<br />
ε = −y dθ Normal strain<br />
dx<br />
<strong>The</strong> strain energy <strong>of</strong> an element may be written as<br />
G - shear modulus<br />
b - widthh<br />
µ - correction factor<br />
h - height<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 32
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