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Minimum and maximum longitudinal reinforcement of beams

Minimum tension steel from expression 9.1N and the maximum steel area. Reference: EN 1992-1-1 9.2.1.1.

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Minimum and maximum longitudinal reinforcement of beams: 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
f_ck := 30 MPa
f_yk := 500 MPa
b_t := 300 mm
h := 600 mm
d := 545 mm

# Limits
f_ctm := 0.30*(f_ck/(1 MPa))^(2/3)*1 MPa =
A_s.min := max(0.26*f_ctm/f_yk, 0.0013)*b_t*d = mm^2
A_s.max := 0.04*b_t*h = mm^2

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