e4d7e41b-9675-4d8c-92a1-5a51429bf4ab 73 4 5 decimal

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

Torsion and bending of a cantilever beam of rectangular section

N 20 :

n 20 :

Δx 0.25 :

Matrix transformation of a  3-dimensional image into a 2-dimensional γ 0.8232 - 0.4194 - 0.3827 0.5677 0.6187 - 0.543 0.009 0.6643 0.7474 33 mat :

u v Fz 0 u v 31 mat :

u v F0 u 0.5 v sin * v cos 31 mat :

Sz u v Fz 1.1 - 1.1 1.1 - 1.1 55 CreateMesh γ * :

k Element u v F0 k Δx * k 1 + (Δx * π 4 / - 74 / π * 14 CreateMesh :

Δθ π 180 N * / : k t Ω1 1000 Δθ t * k * cos Δθ t * k * sin - 0 Δθ t * k * sin Δθ t * k * cos 33 mat : k t Ω2 Δθ t * k * cos 0 Δθ t * k * sin 010 Δθ t * k * sin - 0 Δθ t * k * cos 33 mat : k 0 n range k 0 ≡ torsion k Element k t Ω1 * γ * : bend k Element k t Ω2 * γ * : 21 line torsion torsion k Element k t Ω1 * γ * stack : bend bend k Element k t Ω2 * γ * stack : 21 line if for 41 line

τ N - 3 N * (range :

t N > t 2 N * t - : 1 1 line t t : 1 1 line if bend 1 col bend 2 col augment 2 1 line Sz 1 col Sz 2 col augment 3 1 sys t N > t 2 N * t - : 1 1 line t t : 1 1 line if torsion 1 col torsion 2 col augment 2 1 line Sz 1 col Sz 2 col augment 3 1 sys