85f874eb-8f1d-4ab0-8724-19fb0dfe20fe 12 6 12 decimal

&[DATE] &[TIME] - &[FILENAME]

S1 5 : a 2 : b 50 : 31 line

j 1 :

system 2 a * b + B 2^- 0 ≡ a b + S1 - G - 0 ≡ 21 mat :

init B j ≡ G j ≡ 21 mat :

<= A simple algebraic system

B G sol system init FindRoot :

in lexicographic 
order wrt "init" B G sol 7.348465 - 46.999999 21 mat

B B G sol 1 el : G B G sol 2 el : 12 mat

2 a * b + (B 2^- a b + (S1 G + (- 21 mat 6.2 105 -^* 5.1 107 -^* 21 mat

FindRoot("1:function", "2:condition") - Find root(s) of function(s) "1:function", giving an initial guess "2:condition" for each variable; calculation have at least 4 decimal places function(s) precision.

A unitless dimensionned standard

fc 45 :

fy 450 :

Φc 0.7 :

Φ 0.85 :

α1 Φ 0.0015 fc * - : 0.7825

B 3.83 :

M 22.8 :

d 100 :

Eq2 M Φ fy * d a1 2 / - (* / :

Eq1 Φ As * fy * α1 Φc * fc * B * / :

j 1 :

system Eq1 a1 - 0 ≡ Eq2 As - 0 ≡ 21 mat :

init a1 j ≡ As j ≡ 21 mat :

a1 As sol system init FindRoot :

in lexicographic 
order wrt "init" a1 As sol 0.002414 0.000596 21 mat

m 1 :

m² 1 :

a1 m 0.002414

As m² 0.000596