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A.s d x.e - (* x.e b.eff n / * x.e 2 / * ≡

Proprietés geometriques de la section transversale:

h.c 200 mm * :

A.s 39 cm 2^* :

b.eff L 4 / :

n E.s E.c / :

L 2 m * :

E.s 210 GPa * :

h.s 1500 mm * :

z.G 646.36 mm * :

b.eff 0.5 m *

E.c 30 GPa * :

d h.c h.s + z.G - : mm 1053.6

n 7

solve can't handle dimensions in the variable. Make an appropriate substitution

A.s d x.e_in_m m * - (* x.e_in_m m * (2^b.eff * 2 n * / ≡ x.e_in_m solve 0.398 - 0.289 21 mat

FindRoot finds a numeric solution, based on an initial guess of appropriate dimension

A.s d x.e - (* x.e 2^b.eff * 2 n * / ≡ x.e 1 m * ≡ FindRoot 0.315 m *

x.e Clear 1

FindRoot has embedded results assignment. Therefore clear x.e before demonstrating other solutions.

FindRoot has defaults for precision of function and variable, which might be inappropriate for the particular case. Here we have to adjust the functions precision

A.s d x.e - (* x.e 2^b.eff * 2 n * / ≡ x.e 1 m * ≡ 0.001 mm 3^* FindRoot 0.289 m *

x.e Clear 1

Solve() from the Maxima plugin produces symbolic solutions.

L A.s d x.e - (* x.e 2^b.eff * 2 n * / ≡ x.e Solve (: x.e 71505595 sqrt * 1365 + (m * 25000 / - ≡ x.e 71505595 sqrt * 1365 - (m * 25000 / ≡ 21 sys

fpprintprec 3 MaximaDefine 3

Use this to display floating point values Results formatting options aren't available for symbolic evaluation in SMath, therefore formatting im Maxima has to be used.

L float Maxima x.e 0.398 m * - ≡ x.e 0.289 m * ≡ 21 sys