1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

Figure- 1.1-a

_images/Object_2.svg

Figure- 1.1-b

\(1m\) length straight beam.

inclination \(20°\) with respect to \(x\) (trigonometric direction).

Section features:

\(S\mathrm{=}\pi \mathrm{\times }{0.01}^{2}{m}^{2}\)

1.2. Material properties#

Young’s module

\(E\mathrm{=}2.{10}^{11}\mathit{Pa}\)

Poisson’s Ratio

\(\nu =\mathrm{0,3}\)

Density

\(\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}\)

1.3. Boundary conditions and loading#

Boundary condition:

  • For distributed loading []

Embedded \(A\) and \(B\) nodes: \(\mathit{DX},\mathit{DY},\mathit{DZ},\mathit{DRX},\mathit{DRY},\mathit{DRZ}\) blocked

  • For one-time loading []

Knot \(A\) embedded: \(\mathit{DX},\mathit{DY},\mathit{DZ},\mathit{DRX},\mathit{DRY},\mathit{DRZ}\) blocked

Loads:

  • \(f(t)\mathrm{=}1000\mathrm{\times }\mathrm{cos}(t)\) following the \(\mathrm{AB}\) direction

either spread out or applied to the \(B\) end

  • \({M}_{T}(t)\mathrm{=}1000\mathrm{\times }\mathrm{cos}(t)\) applied to the \(B\) end