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Slab base plate of a column

Bearing area on the concrete and thickness of a slab base under an axially loaded column. Reference: IS 800:2007 Cl. 7.4.3.1.

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# Inputs
P_u := 800 kN
f_ck := 25 MPa
f_y := 250 MPa
gamma_m0 := 1.10
b_c := 200 mm
B_p := 300 mm

# Bearing
f_b := 0.6*f_ck =
A_req := P_u/f_b = mm^2
A_p := B_p^2 = mm^2
A_p >= A_req =
w_b := P_u/A_p = MPa

# Thickness
a_p := (B_p - b_c)/2 = mm
b_p := a_p
t_s := sqrt(2.5*w_b*(a_p^2 - 0.3*b_p^2)*gamma_m0/f_y) = mm
# The base plate may not be thinner than the column flange.

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