Angelina TM Predesign Charts - ArcelorMittalsections.arcelormittal.com/fileadmin/redaction/ARTICLES/Design...Angelina TM Predesign Charts 27 May 2009 ... taken from Cellular Beams

Angelina TM Predesign Charts

27 May 2009Esch-sur-Alzette

R. ZanonO. VassartM. Braun Y.ConanM. Brasseur

Design Charts AngelinaEsch-sur-Alzette - 27 May 2009 1

Predesign charts Angelina

The aim of the predesign charts is to allow the designer to get a quick and easy answer concerning the possible Angelina sections to use in hisproject.

The Angelina section is obtained from cutting and re-welding of a common hot-rolled profile.

The length of the beam is usually set by the overall architectural layoutof the project, whereas the other geometrical parameters which defineuniquely the shape of the opening, are governed by functionalrequirements and are verified by the designer.


Geometrical parameters

Wend

Wend


Opening configuration used in the charts

Height of the opening a0: taken from Cellular Beams Abacs in order to have a direct comparison;

Length of the sinusoid ls: taken between 1 and 1.5 times a0 in order to optimise the resistance (exception for HD profiles in Cofradal configuration);

Hole shape ratio Lo/a0: results between 2 and 3 (exception for HD profiles in Cofradalconfiguration where it results about 3.9);

Web post width w: taken 200 mm for small profiles and 250 for larger sections.

Wend


Use of the predesign charts

a) Span known + Design load known � Identify the section

b) Span known + Section known � Identify the design load

c) Design load known + Section known � Identify the maximum span

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Span [m]

Tot

al lo

ad c

arry

ing

capa

city

[kN

/m]

IPE 300 S355 (a=315, b=315, m=200, H=457,5)

IPE 330 S355 (a=345, b=345, m=200, H=502,5)

IPE 360 S355 (a=380, b=380, m=200, H=550)

IPE 400 S355 (a=420, b=420, m=200, H=610)

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13


The design load, qdim, required in the project has to be compared with the ultimate load qu given in the charts. This ultimate load takes into account all criteria required for Ultimate Limit States (ULS) and deflection at Serviceability Limit States (SLS). As a consequence, the design load could be directly compared to the ultimate load.

The design load, qdim, expressed in kN/m in the charts, should be calculated using following ULS load combination:

Design load


Design charts available

Non-composite beams:

- IPE 300 … 750x147 in S355

- HEA 300 … 900 in S355 and HISTAR460

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Span [m]

Tot

al lo

ad c

arry

ing

capa

city

[kN

/m]

HEB 300 S355 (a=315, b=315, m=200, H=457,5)

HEB 320 S355 (a=335, b=335, m=200, H=487,5)

HEB 340 S355 (a=355, b=355, m=200, H=517,5)

HEB 360 S355 (a=380, b=380, m=250, H=550)

HEB 400 S355 (a=420, b=420, m=250, H=610)

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Span [m]

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al lo

ad c

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capa

city

[kN

/m]

HEB 300 S460 (a=315, b=315, m=200, H=457,5)

HEB 320 S460 (a=335, b=335, m=200, H=487,5)

HEB 340 S460 (a=355, b=355, m=200, H=517,5)

HEB 360 S460 (a=380, b=380, m=250, H=550)

HEB 400 S460 (a=420, b=420, m=250, H=610)



Composite beams with steel decking:

- IPE 270 … 600 in S355

- HEA 300 … 600 in S355 and HISTAR460

- HEB 300 … 600 in S355 and HISTAR460

- HD 260 … 400 in S355 and HISTAR460

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Span [m]

Tot

al lo

ad c

arry

ing

capa

city

[kN

/m]

HEB 300 S355 (a=315, b=315, m=200, H=457,5)

HEB 320 S355 (a=335, b=335, m=200, H=487,5)

HEB 340 S355 (a=355, b=355, m=200, H=517,5)

HEB 360 S355 (a=380, b=380, m=250, H=550)

HEB 400 S355 (a=420, b=420, m=250, H=610)

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Span [m]

Total lo

ad car

rying

capa

city [k

N/m

]

IPE 270 S355 (a=285, b=285, m=200, H=412,5)

IPE 300 S355 (a=315, b=315, m=200, H=457,5)

IPE 330 S355 (a=345, b=345, m=200, H=502,5)

IPE 360 S355 (a=380, b=380, m=250, H=550)

IPE 400 S355 (a=420, b=420, m=250, H=610)



Composite beams with Cofradal:

- HD 260x68.25 in S355

- HD 260x93 in S355 and HISTAR460




HD S355 Cofradal

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Span [m]

Tota

l loa

d ca

rryi

ng c

apac

ity [k

N/m

]

HD 400x216 (a=440, b=740, m=250, H=595)

HD 400x187 (a=440, b=740, m=250, H=588)

HD 320x127 (a=360, b=580, m=250, H=500)

HD 260x93 (a=250, b=390, m=200, H=385)

HD 260x68.25 (a=250, b=350, m=200, H=375)

HD S460 Cofradal

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4 6 8 10 12 14 16 18 20 22 24

Span [m]

Tota

l loa

d ca

rryi

ng c

apac

ity [k

N/m

]

HD 400x216 (a=440, b=740, m=250, H=595)

HD 400x187 (a=440, b=740, m=250, H=588)

HD 320x127 (a=360, b=580, m=250, H=500)

HD 260x93 (a=250, b=390, m=200, H=385)


Procedure followed to calculate the Predesign Charts


Initial Assumptions – Non composite Angelina

The initial assumptions are taken from the charts provided by CTICM for the Cellular Beams (Brochure ACB), in order to have a direct reference to well-known solutions.

Non-composite beams:

- Deflection limit of L / 250 applied only on the VARIABLE LOADS(it is assumed that the deflection due to dead loads can be compensated by the precambering)

- The openings proportions are fixed such that a0=ls

- The web post length w is set to 200 mm.


Initial Assumptions – Composite Angelina3000 mm

180 mm

Steel decking

Composite beams with trapezoidal steel decking:

- Composite slab of 120 mm (with shallow trapezoidal decking, max. rib height 60 mm; min. concrete class C25/30) with self weight of 2 kN/mq

- Permanent loading of 0.75 kN/mq

- Beam distance of 3 meters

- Full shear connection

- Deflection limit of L / 350 applied only on the VARIABLE LOADS(it is assumed that the deflection due to dead loads can be compensated by the precambering)

60 mm

60 mm


Initial Assumptions – Composite Angelina

Composite beams with Cofradal 200:

- Composite slab Cofradal 200 (min. concrete class C25/30) with self weight of 2 kN/mq

- Permanent loading of 0.75 kN/mq

- Beam distance of 6 meters

- Full shear connection

- Deflection limit of L / 350 only on the VARIABLE LOADS(it is assumed that the deflection due to dead loads can be compensated by the precambering)

1000 mm

600 mm

Cofradal 200

200 mm


Possibility of other Openings configuration

Example: IPE 400

Opening height a = 420 mm

Sinusoid length b = 420 mm

Shape ratio L / a = 2.48

Opening height a = 540 mm

Sinusoid length b = 920 mm

Shape ratio L / a = 3.87

Configuration chosen for the charts Configuration with bigger openings

The charts were realised only with a normal opening configuration. Nevertheless otheropenings configuration are possible; it should be however noticed that in general biggeropenings lead to a decrease of the beam resistance.



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Span [m]

Tot

al lo

ad c

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ing

capa

city

[kN

/m]

IPE 400 S355 (a=420, b=420, m=200, H=610)

IPE 400 S355 (a=540, b=920, m=250, H=670)

Shape ratio = 3.87

Shape ratio = 2.468

IPE 400 non-composite


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Span [m]

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al lo

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capa

city

[kN

/m]

HEB 400 S355 (a=420, b=420, m=250, H=610)

HEB 400 S355 (a=520, b=900, m=250, H=660)


Shape ratio = 3.94

Shape ratio = 2.6

HEB 400composite


Current design procedure of an Angelina beam

• Design of a cellular beam with the software ACB, checking ultimate and serviceability limit design criteria.

• « Transformation » of the cellular beam in the Angelina beam, taking the sameopening height.

• Check of the first sinusoidal opening with the Excel worksheet DesignAngelina.xls.

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Length [mm]

Ben

ding

mom

ent [

kNm

]

Bending resistance of the Tee (with classification according EN 1993-1-1

Bending theoretical resistance of the Tee without instability

Bending moment acting on the Tee

a


Future design procedure of an Angelina beam

A complete Angelina design software, equivalent to the one existing for cellular beams, is under preparation by CTICM.

It will be available internally in summer 2009.


Thanks for Your kind attention

Documents

Angelina TM Predesign Charts - ArcelorMittalsections.arcelormittal.com/fileadmin/redaction/ARTICLES/Design...Angelina TM Predesign Charts 27 May 2009 ... taken from Cellular Beams