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Effective length of a braced column

Effective length from the relative flexibilities of the rotational restraints at both ends. Reference: EN 1992-1-1 5.8.3.2, expression 5.15.

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Effective length of a braced column: worked example sheet in Equation Pad with typeset equations and results.

Example only. This sheet shows one way to set out the check. It is not endorsed by the bodies that publish the design codes and does not reproduce them. Check every clause, value and assumption against your own copy of the current edition of Eurocode 2 and its national annex before you use it, and have the result checked by a competent person. See the disclaimer.

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# Inputs
l := 3.6 m
k_1 := 0.4
k_2 := 0.6
# k_1 and k_2 are the relative flexibilities of the end restraints (0 = fixed, infinity = pinned; at least 0.1).

# Effective length
l_0 := 0.5*l*sqrt((1 + k_1/(0.45 + k_1))*(1 + k_2/(0.45 + k_2))) =
l_0/l =

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