Flexible Element

The flexible element is a two-node component for modeling expansion bellows and flexible hoses. Unlike single-node expansion joints (zero-length), this element has finite length with beam properties. Specify bending stiffness four times greater than for zero-length expansion joints.

General Properties

 

Property

Description

Name

Element identifier. Sort and select elements by name in the project tree

Coordinate Input Method1

Projections: Input dimensions as projections on global coordinate axes DX, DY, DZ
Spherical: Input element length L and three angles to global coordinate axes jX, jY, jZ
Cylindrical: Input projection on XY plane, Z-axis projection, and two angles to X and Y axes

Stiffness Properties
(Ka, Kl, Kt, Kr)

Shear stiffness (Kl) and bending stiffness (Kr) are automatically calculated using:

Kl = Kr × 3/L² and Kr = Kl × L²/3

Where:

Kr = Bending Stiffness (N·m/rad)

Kl = Shear Stiffness (N/m)

L = Bellows length (m)

Important: Two-node flexible elements require bending stiffness four times greater than zero-length expansion joints.

Comparison of flexible element types:

  • Two-node element: Allows deflection (δ)
  • Zero-length element: No deflection (δ=0)

For identical applied moment M, rotation angle θ₂ = 4 × θ₁, requiring KR(two-node) = 4 × KR(zero-length)

Multiply manufacturer's bending stiffness values by 4 for two-node flexible elements

Thrust Area

Models pressure thrust forces in flexible piping. Set to zero for pressure-balanced expansion joints

Total Weight

Total element weight

Uniform Weight

Distributed weight along element length

Menu and Toolbar Access

To insert a flexible element:

  1. Select the desired node

  2. Use menu: Insert > Flexible Element

To view element properties: