e5185f5a-2edd-468c-95f4-118a4d413c45 34 Andro 4 5 false false 0 7 decimal

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

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 * :

CONDITION / CONSTRAINT

h 43 / b * : mm 160

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 * : 221.76 N *

EQN - STRESS DUE TO BENDING

σ M W / ≡ (σ.a ≤

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

W b h 2^* 6 / :

solving eqn fails

σ.a G Q.m + (L.1 2 / * b 3^6 / 169 / * / ≡

σ.a γ 43 / * L.1 * b 2^* Q.m + (L.1 2 / * b 3^6 / 169 / * / ≡

b f γ 43 / * L.1 * b 2^* Q.m + (L.1 2 / * b 3^6 / 169 / * / σ.a - :

b f 0 ≡

b f b solve #

b f b 150 mm * roots #

b Clear 1

b f.1 γ 43 / * L.1 * b 2^* mm 2^* Q.m + (L.1 2 / * b 3^mm 3^* 6 / 169 / * / σ.a - :

b f.1 b 01000 solve 151.752

b f.1 b 100 roots 151.752

b f b solve maple mm 151.752 74.0569 - 130.3539 i * + 74.0569 - 130.3539 i * - 31 mat

epsilon 105 -^:

guess 1011 mat :

step 0 :

v g v 1 el mm * f :

S guess step epsilon X g al_nleqsolve mm * :

S mm 151.752 11 mat

guess 10 mm * :

S guess FindRoot :

b f γ 43 / * L.1 * b 2^* Q.m + (L.1 2 / * b 3^6 / 169 / * / σ.a - :

S mm 151.752

b f b 10 mm * ≡ FindRoot mm 151.752