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17x

001513

2024-08-26

Spring Constants – Restrained Column Head, Elastic Surface Foundation, Considering Shear Stiffness

The formulas shown here result in the spring constants of the support conditions of the "Stiffness via Fictitious Column" function for a restrained column, considering the shear stiffness.

C_{u X} = \frac{12 \cdot E I_{z}}{h^{3} \cdot A_{head} \cdot (1 + k_{z})}

C_{u Y} = \frac{12 \cdot E I_{y}}{h^{3} \cdot A_{head} \cdot (1 + k_{y})}

C_{u Z} = \frac{E A}{h \cdot A_{head}}

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

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

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