17934x
001491
2017-11-07

Determining Force Coefficient of Resulting Member Loads for Plane Lattice Structures from Wind Load

This article presents a simple example of a lattice structure to explain how to determine wind loading as a function of the lattice solidity.

Wind Perpendicular to Structure

Basic velocity vb = 25.0 m/s
Basic velocity pressure qb = 0.39 kN/m²
Peak velocity pressure

Force coefficient cf for lattice structures:

Determination of Force Coefficient cf,0 for Lattice Structures Without End-Effect Using Solidity Ratio φ

Solidity ratio:


where
A is the sum of the projected areas of members,
AC = l ⋅ b is the enclosed area of the considered face,

Area ratio of the lattice:

Solidity ratio:

After the solidity ratio is obtained, the force coefficient cf,0 of 1.6 can be read off the standard EN 1991‑1‑4, Figure 7.33 [1], for example.

It is also necessary to define the effective slenderness of the structural component in order to determine the end‑effect factor Ψλ.

Effective Slenderness λ (Table 7.16 → BS EN 1991‑1‑4 [2])

Using the previously calculated values, the end-effect factor Ψλ of 0.95 can be read off the diagram in Figure 7.36 of the standard.

Using this factor, the following force coefficient is obtained:

Calculation of Resulting Wind Load of Lattice Structure

Option 1: Equivalent Static Load Fw


where
Aref is the projected area


Option 2: Load as Member Loads from Area Load

In order to distribute this area load in RFEM/RSTAB to the members only, it is necessary to select the "Empty, on members only" option under Area of Load Application. After entering the load and clicking [OK], the sum of the load to be applied is displayed again in an information window.


Author

Mr. Baumgärtel provides technical support for Dlubal Software customers.

Links
References
  1. Eurocode 1: Actions on Structures - Part 1-4: General actions, Wind loads; BS EN 1991-1-4:2010-12
  2. Nationaler Anhang - National festgelegte Parameter - Eurocode 1: Einwirkungen auf Tragwerke - Teil 1-4: Allgemeine Einwirkungen - Windlasten; DIN EN 1991-1-4/NA:2010-12
Downloads