Navigation:  Static - Beam Element > A-01 (Simple 3d-Truss - Model Type 3D Truss)

Objective

To verify the behavior of the 3d truss element.

 

Problem Description

A simple 3d truss is supported and loaded as shown below.  Nodal X, Y, and Z coordinates are given in parenthesis.

 

Material properties: E = 200 KN/mm2, ν = 0.3

 

Section properties: A12 = 2e4 mm2, A13 = 3e4 mm2, A14 = 4e4 mm2, A15 = 3e4 mm2

 All members Iz = 1e10 mm4, Iy = 1e10 mm4 , J = 1e10 mm4

 

Nodal forces applied at node 1: Px = 200 KN, Py = 600 KN, Pz = -800 KN

 

 

Finite Element Model

4 beam elements

Model type: 3D Truss

 

Results

The displacements and support reactions are given in [Ref 1].

 

Units: displacement-mm; reaction-KN

 

Comments

The results given by ENERCALC 3D are very close to the referenced values.

 

The deflection diagram is shown below for illustration purposes.

 

Deflection Diagram

 

Reference

[1]. McGuire, Gallagher and Ziemian, “Matrix Structural Analysis” 2nd Edition, pp104, John Wiley & Sons, Inc., 2000