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3x

001527

2024-09-03

Spring Constants – Semi-Rigid Column Head, Semi-Rigid Column Base, Elastic Nodal Support, Neglecting Shear Stiffness

These formulas are used to calculate the spring constants of the stiffness of an elastic nodal support. In this case, a column with a semi-rigid column head and a semi-rigid column base is analyzed on the basis of modeling with a fictitious column, without considering the shear stiffness.

C_{u, X} = \frac{3 \cdot E I_{z}}{h^{3}} + \frac{X}{100} \cdot \frac{9 \cdot E I_{z}}{h^{3}}

C_{u, Y} = \frac{3 \cdot E I_{y}}{h^{3}} + \frac{X}{100} \cdot \frac{9 \cdot E I_{y}}{h^{3}}

C_{u, Z} = \frac{E A}{h}

C_{φ, X} = \frac{3 \cdot E I_{y}}{h} + \frac{X}{100} \cdot \frac{E I_{y}}{h}

C_{φ, Y} = \frac{3 \cdot E I_{z}}{h} + \frac{X}{100} \cdot \frac{E I_{z}}{h}

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