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Retaining wall: design of the stem

Factored moment at the base of a cantilever stem and its vertical steel. Reference: IS 456:2000 Cl. 38.1.

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Retaining wall: design of the stem: worked example sheet in Equation Pad with typeset equations and results.

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# Data
h := 4.0 m
gamma_s := 18 kN/m^3
k_a := 0.333
D := 300 mm
d := D - 50 mm =
f_ck := 25 MPa
f_y := 415 MPa
b := 1000 mm

# Moment
M_u := 1.5*k_a*gamma_s*h^3/6*b = kN*m

# Steel
M_u <= 0.138*f_ck*b*d^2 =
A_st := 0.5*f_ck/f_y*(1 - sqrt(1 - 4.6*M_u/(f_ck*b*d^2)))*b*d = mm^2
A_st.min := 0.0012*b*D = mm^2
s := 1000 mm*pi/4*(16 mm)^2/max(A_st, A_st.min) = mm

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More IS 456 sheets on stairs and walls

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