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Euler buckling load of a column
Elastic critical load of a strut for the four classic end conditions, with the effective length factor. Reference: Euler buckling theory.
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# Column
E_m := 210 GPa
I_min := 2003e4 mm^4
L_c := 4 m
# Effective length factor
# Pinned-pinned 1.0, fixed-free 2.0, fixed-pinned 0.7, fixed-fixed 0.5.
K_e := 1.0
# Critical load
P_cr := pi^2*E_m*I_min/(K_e*L_c)^2 = kN
P_cr.ff := pi^2*E_m*I_min/(0.5*L_c)^2 = kN
P_cr.ff/P_cr =
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