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Column Formulas

SELFLEARNINGRAHUL

4 Aug, 2025

Column Formulas

Chapter 3: Column Formulas

General Considerations

Columns must be designed considering material properties, slenderness ratio, load eccentricity, and end conditions.

Short Columns

P = σ_allow × A

Allowable Stress (σ in N/m²): Area (A in m²):

Eccentric Loads on Columns

σ = (P/A) ± (P*e*y/I)

Load (P in kN): Area (A in m²): Eccentricity (e in m): Distance (y in m): Moment of Inertia (I in m⁴):

Column Base Plate Design

Area Plate = P / σ_bearing

Load (P in kN): Bearing Stress (σ in N/m²):

Elastic Flexural Buckling

P_cr = (π² × E × I) / (K × L)²

Elastic Modulus (E in N/m²): Moment of Inertia (I in m⁴): Effective Length (L in m): K (Effective Length Factor):

Ultimate Strength (Concrete Columns)

P_u = 0.4f_ckA_c + 0.67f_yA_s

Concrete Strength (fck in MPa): Concrete Area (Ac in m²): Steel Yield (fy in MPa): Steel Area (As in m²):

Axially Loaded Steel Columns

P = σ_allow × A

Allowable Stress (σ in N/m²): Area (A in m²):

SELFLEARNINGRAHUL

SELFLEARNINGRAHUL

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