fa9d8449-084e-45ee-9231-cd442270af38 4 4 5 decimal

&[DATE] - &[FILENAME]

b 1000 mm * :

f.c' 50 MPa * :

E.s 200 GPa * :

D 275 mm * :

f.sy 500 MPa * :

d.b 1600001661 mat 1 * mm * :

bar.n 500001061 mat :

dist.comp 78000019761 mat 1 * mm * :

i 1 : i d.b rows ≤ i i 1 + : A.reo i 1 el π d.b i el 2 / (2^* bar.n i el * : for

α.2 1 0.003 MPa / f.c' * - : 0.85

γ 1.05 0.007 MPa / f.c' * - : 0.7

Strength check

ε.cu 0.003 m m / * :

Based on clause 8.1.3(a)

f.uC 0.85 f.c' * : MPa 42.5

ε.sy f.sy E.s / : 0.0025

Yield in the reo

j 1 : j d.b rows ≤ j j 1 + : F.bar j el A.reo j el ε.cu k.udU / k.udU dist.comp j el - (* abs E.s * f.sy Min * ε.cu k.udU / k.udU dist.comp j el - (* sign * : for

k.udU F.conc 0.85 f.c' * b * γ k.udU * (* 11 line :

k.udU fn k.udU F.conc F.bar i el i 16 sum + 11 line :

47.0964 mm * fn 11.282 N *

1 mm * fn 1.4782 106^* N * -

1000000 mm * fn 2.9752 1010^* N *

x 1 * mm * fn N 1 -^* 0 ≡ x 4050 solve 47.0962

x ln 0.5 x sqrt * 2 1 sys

implicit solve x ln 0.5 x sqrt * - x 04 solve 2.0438

equality solve x ln 0.5 x sqrt * ≡ x 04 solve 2.0438

start 47.096 :

end 47.0964 :

step end start - (0.1 * :

start end start step + range 1 * mm * fn 1 N / * vectorize 9.1027 - 7.0642 - 5.0257 - 2.9872 - 0.9488 - 1.0897 3.1282 5.1666 7.2051 9.2435 11.282 111 mat