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Deep beam: lever arm and tension steel

Lever arm of a simply supported deep beam and the tension steel it needs. Reference: IS 456:2000 Cl. 29.2.

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Deep beam: lever arm and tension steel: 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 IS 456 before you use it, and have the result checked by a competent person. See the disclaimer.

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# Data
l := 4 m
D := 2.5 m
f_y := 415 MPa
M_u := 1500 kN*m
l/D =

# Lever arm
z := l/D >= 1 ? 0.2*(l + 2*D) : 0.6*l =

# Steel
A_st := M_u/(0.87*f_y*z) = mm^2

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