1. Reference problem#

1.1. Geometry#

Piping bent in plane \(\mathrm{XY}\). The straight sections are \(L=1200\mathrm{mm}\) in length.

The radius of curvature of the elbow is: \(\mathrm{Rc}=\mathrm{305mm}\)

_images/Object_1.svg

The average radius of the tubular section is \(R=\mathrm{105.5mm}\) and the thickness is \(e=\mathrm{8.18mm}\).

1.2. Material properties#

\(E=200000\mathrm{MPa}\)

\(\nu =0.3\)

1.3. Boundary conditions and loads#

Embedding in \(A\)

2 load cases:

  1. Moment \(\mathrm{MZ}\) imposed in \(D\): \(\mathrm{MZ}=17000\mathrm{Nm}\) (plane bending).

  2. Off-plane bending: moment \(\mathrm{My}\) imposed in \(D\)

\(\mathrm{My}=17000\mathrm{Nm}\)

1.4. Initial conditions#

Not applicable.