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001515

2024-08-26

Spring Constants for Stiffness Using Fictitious Column for "Semi-Rigidly" Supported Columns with Elastic Surface Foundation Without Considering Shear Stiffness

Using these formulas, you can calculate the spring constants for the stiffnesses using a fictitious column for a "semi-rigid" support and an elastic surface foundation without considering the shear stiffness.

C_{u X} = \frac{3 \cdot E I_{Z}}{H^{3} \cdot A_{h e a d}} + \frac{X}{100} \cdot \frac{9 \cdot E I_{Z}}{A_{h e a d} \cdot H^{3}}; C_{u Y} = \frac{3 \cdot E I_{Y}}{H^{3} \cdot A_{h e a d}} + \frac{X}{100} \cdot \frac{9 \cdot E I_{Y}}{A_{h e a d} \cdot H^{3}}; C_{u Z} = \frac{E \cdot A}{h \cdot A_{h e a d}}

C_{φ Y} = 2 \cdot \frac{E \cdot I_{Z}}{A_{h e a d} \cdot h} + \frac{X}{100} \cdot \frac{E I_{Z}}{A_{h e a d} \cdot H}; C_{φ X} = 2 \cdot \frac{E \cdot I_{Y}}{A_{h e a d} \cdot h} + \frac{X}{100} \cdot \frac{E I_{Y}}{A_{h e a d} \cdot H}

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