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INPUT

L.1 2.1 m * :

q 5.5 kPa * :

L.2 2.5 m * :

γ 5.5 kN m 3^/ * :

σ.a 15 MPa * :

INITIAL GUESS:

b 120 mm * :

Let b undefined.

CONDITION / CONSTRAINT

h 43 / b * :

CALC

Area L.1 L.2 * : 5.25 m 2^*

Q q Area * : 28875 N *

Q.m Q 2 / : 14437.5 N *

middle cantilever load

G γ h * b * L.1 * :

EQN - STRESS DUE TO BENDING

σ M W / ≡ (σ.a ≤

M G Q.m + (L.1 2 / * :

W b h 2^* 6 / :

solving eqn

b f M W / σ.a - :

bo m b m * f Pa / b 0 0.2 solve * : mm 151.7519

bo m b m * f Pa / b 0.2 roots * : mm 151.752

Now this four variables are defined too

b bo :

h mm 202.3359

G 354.6413 N *

M 15531.7484 J *

W 0.001 m 3^*