mods.buckling

Module Contents

Functions

max_stress(P, A, e, c, r, L, E)	Calculates the maximum stress experienced by a column using the secant formula.
critical_load(E, I, L, support)	Calculates the critical load on an ideal column using Euler's formula.
critical_stress(E_t, L, r, support)	Calculates the critical stress on an ideal column using Engesser's equation with tangent modulus.

mods.buckling.max_stress(P, A, e, c, r, L, E)

Calculates the maximum stress experienced by a column using the secant formula.

Parameters:

• P (float) – Applied load

• A (float) – Cross-sectional area of the column

• e (float) – Eccentricity of the load

• c (float) – Distance from the centroid of the cross-section to the extreme fiber

• r (float) – Radius of gyration of the cross-section

• L (float) – Length of the column

• E (float) – Modulus of elasticity of the material

Returns:

Maximum stress experienced by the column

Return type:

float

mods.buckling.critical_load(E, I, L, support)

Calculates the critical load on an ideal column using Euler’s formula. This is the maximum axial load that a member can carry before buckling.

Parameters:

• E (float) – Modulus of elasticity of the material

• I (float) – Moment of inertia of the cross-section of the column

• L (float) – Length of the column

• support (str) – Type of support, can be ‘pin’, ‘fixed’, ‘pin-fixed’, or ‘fixed-free’

Returns:

Critical load on the column

Return type:

float

mods.buckling.critical_stress(E_t, L, r, support)

Calculates the critical stress on an ideal column using Engesser’s equation with tangent modulus.

Parameters:

• E_t (float) – Tangent modulus of elasticity of the material

• L (float) – Length of the column

• r (float) – Radius of gyration of the cross-section of the column

• support (str) – Type of support, can be ‘pin’, ‘fixed’, ‘pin-fixed’, or ‘fixed-free’

Returns:

Critical stress on the column

Return type:

float