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001526

2024-09-03

Spring Constants – Semi-Rigid Column Head, Hinged Column Base, Elastic Nodal Support, Considering 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 hinged column base is analyzed on the basis of modeling with a fictitious column, considering the shear stiffness.

C_{u, X} = \frac{12 \cdot E I_{z}}{h^{3} \cdot (4 + k_{z})}

C_{u, Y} = \frac{12 \cdot E I_{y}}{h^{3} (4 + k_{y})}

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

C_{φ, X} = \frac{3 + k_{y}}{1 + k_{y}} \cdot \frac{E I_{y}}{h}

C_{φ, Y} = \frac{3 + k_{z}}{1 + k_{z}} \cdot \frac{3 \cdot E I_{z}}{h}

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