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Geometric imperfections: the inclination θi

Eurocode 2 part 1-1: Design of concrete structures  5.2 (5)

Imperfections may be represented by an inclination, θi, given by:

θi = θ0αhαm (5.1)

where:

θ0
is the basic value, see § 5.2 (5)
αh
is the reduction factor for length or height: αh = 2/√l ; 2/3 ≤ αh ≤ 1
αm
is the reduction factor for number of members: αm = √0,5(1 + 1/m)
l
is the length or height [m], see § 5.2 (6)
m
is the number of vertical members contributing to the total effect, see § 5.2 (6).

This application calculates the inclination θi from your inputs. Intermediate results will also be given.

Input
rad
m
Output
αh
αm
the inclination θi
rad (5.1)