Design for the Lower Flange of Suspension Cranes According to DIN EN 1993-6

  • Knowledge Base

Technical Article

For suspension cranes, the bottom chord of the runway girder is subjected to local flange bending due to the wheel loads in addition to the main load bearing capacity. The bottom chord behaves like a slab due to these local bending stresses and has a biaxial stress condition [1].

Ultimate Limit State

It has to be verified that the wheel loads can be absorbed by the bottom chord. In [2], Chapter 6.7, Equation 6.2 the following formula is given:

Formula 1

Ff,Rd = leff · tf2 · fyγM04 · m · 1 - σf,EdfyγM02

where
leff = effective length according to [2], Table 6.2
m = lever arm of wheel load at the transition flange-web according to [2], Equation 6.3
σf,Ed = bending stress in the centroidal axis of the flange due to global loading

Image 01 - Loading of Lower Flange by Wheel Loads

The following condition has to be met:
Fz,Ed ≤ Ff,Rd

Particularly for the calculation of the effective length according to [2], Table 6.2, the location to design in the runway girder as well as the axle base of the wheel loads have to be considered.

Image 02 - Influence Parameters for the Calculation of the Effective Length According to [2], Tab. 6.2

Serviceability Limit State/Fatigue

For the design of suspension cranes in the serviceability limit state according to [2], it is necessary to determine the local bending stresses in the lower flange due to wheel loads according to [2], Chapter 5.8. The calculation of the necessary coefficients is carried out according to [2], Table 5.2. Furthermore, you have to superimpose the respective global stresses with the local stresses due to wheel loads in the structural analysis.


According to NCI (Germany) on Chapter 5.8 of EN 1993-6, it is allowed to reduce the local stresses to 75 % for this superposition. This design verifies the elastic behavior of the lower flange.

Local Stresses in Lower Flange

There are different methods to determine the local stresses in the lower flange which are also shown in [3]. In [2], the calculation according to the FEM guideline 9.341 "Local girder stresses" has been taken over. The stresses are calculated here at the local points 0, 1 and 2 as shown in Figure 01.

The stresses are taken from the following formulas:

Longitudinal direction of the beam:

Formula 2

σox,Ed,ser,i = cx,i · Fz,Edtf2

Transversal direction of the beam:

Formula 3

σoy,Ed,ser,i = cy,i · Fz,Edtf2

where
cx,i and cy,i according to [2], Table 5.2
$\mathrm\mu\;=\;\frac{2\;\cdot\;\mathrm n}{\left(\mathrm b\;-\;{\mathrm t}_\mathrm w\right)}$ according to [2], Chapter 5.8 (4), Equation 5.7

It must be noted that the stresses of the individual wheels should be superpositioned in case of small axle bases xw ≤ 1,5 b (see Figure 02). See [2], Chapter 5.8 (8)

Superposition with Global Stresses

According to [2], Chapter 7.5, the local stresses in the longer flange have to be superimposed with the global stresses from the structural analysis:

Formula 5

σv,Ed,ser = σΣx,Ed,ser2  σΣy,Ed,ser2 - σΣx,Ed,ser · σΣy,Ed,ser  3 · τEd,ser2  fyγm,ser

where

Formula 6

σΣx,Ed,ser = σx,Ed,ser  0.75 · σox,Ed,ser


Formula 7

σΣy,Ed,ser = 0.75 · σoy,Ed,ser

Summary

Several factors have to be considered for the design of the lower flange. The designed location in the runway girder plays especially an important role for the determination of the effective length. Furthermore, the axle base of the wheels is important because the wheel loads and their local stresses may be superpositioned in case of small distances.

Literature

[1] Seeßelberg, C. Kranbahnen: Bemessung und konstruktive Gestaltung nach Eurocode, 5th edition. Berlin: Bauwerk, 2016
[2] Eurocode 3: Design of steel structures - Part 6: Crane supporting structures; EN 1993-6:2007 + AC:2009
[3] Petersen, C.: Stahlbau, 4th edition. Wiesbaden: Springer Vieweg, 2013

Downloads

Links

Write Comment...

Write Comment...

  • Views 1746x
  • Updated 16 December 2020

Contact us

Do you have questions or need advice?
Contact our free e-mail, chat, or forum support or find various suggested solutions and useful tips on our FAQ page.

+49 9673 9203 0

info@dlubal.com

Stand-Alone Steel Structures
CRANEWAY 8.xx

Stand-Alone Program

Design of crane runway girders according to EN 1993-6 and DIN 4132

Price of First License
1,480.00 USD