Example Design of a Cold-Formed Steel Lipped Channel Wall Stud in Compression
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Document Ref: SX024a-EN-EU Sheet 1 of 3 Title Example: Design of a cold-formed steel lipped channel wall stud in compression CALCULATION SHEET Eurocode Ref EN 1993-1-3 Made by V. Ungureanu, A. Ruff Date Jan 2006 Checked by D. Dubina Date Jan 2006 Example: Design of a cold-formed steel lipped channel wall stud in compression This example deals with the design of a pinned wall stud subjected to compression. The stud is composed of a cold-formed lipped channel section where boards are attached to both flanges and they prevent buckling in the weak direction and torsional buckling. For practical design of light gauge sections to EN1993, designers will normally use software or refer to manufacturers’ data. This example is presented for illustrative purposes Basic Data Height of stud m 75 , 2 = H Spacing between studs m 6 , 0 = S Span of floor m 5 = L Spacing between floor joists m 6 , 0 = S Distributed loads applied to the floor: dead load – lightweight slab 2 m kN 00 , 1 m kN 60 , 0 6 , 0 00 , 1 G = × = q imposed load 2 m kN 50 , 2 m kN 50 , 1 6 , 0 50 , 2 Q = × = q ULS Limit State concentrated load from upper level and roof: kN 0 , 10 = Q The dimensions of one cross-section and the material properties are: Total height mm 0 10 = h Total width of flange mm 40 = b Total width of edge fold mm 15 = c Internal radius mm 3 = r Nominal thickness mm 1 nom = t Steel core thickness mm 96 , 0 = t Basic yield strength 2 yb mm N 350 = f Modulus of elasticity 2 mm N 210000 = E Poisson’s ratio 3 , 0 = ν Shear modulus ( ) 2 mm N 81000 1 2 = + = ν E G Example: Design of a cold-formed steel lipped channel wall stud in compression Discuss me ... Created on 23 May 2013 This material is copyright - all rights reserved. Use of this document is subject to the terms and conditions of the Steelbiz Licence Agreement
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This example deals with the design of a pinned wall stud subjected to compression. The stud is composed of a cold-formed lipped channel section where boards are attached to both flanges and they prevent buckling in the weak direction and torsional buckling.
Transcript of Example Design of a Cold-Formed Steel Lipped Channel Wall Stud in Compression
Document Ref: SX024a-EN-EU Sheet 1 of 3 Title
Example: Design of a cold-formed steel lipped channel wall stud in compression
CALCULATION SHEET
Eurocode Ref EN 1993-1-3 Made by V. Ungureanu, A. Ruff Date Jan 2006
Checked by D. Dubina Date Jan 2006
Example: Design of a cold-formed steel lipped channel wall stud in compression This example deals with the design of a pinned wall stud subjected to compression. The stud is composed of a cold-formed lipped channel section where boards are attached to both flanges and they prevent buckling in the weak direction and torsional buckling.
For practical design of light gauge sections to EN1993, designers will normally use software or refer to manufacturers’ data. This example is presented for illustrative purposes
Basic Data
Height of stud m75,2=H Spacing between studs m6,0=S Span of floor m5=L Spacing between floor joists m6,0=S Distributed loads applied to the floor: dead load – lightweight slab 2mkN00,1
mkN60,06,000,1G =×=q
imposed load 2mkN50,2
mkN50,16,050,2Q =×=q
ULS Limit State concentrated load from upper level and roof: kN0,10=Q
The dimensions of one cross-section and the material properties are:
Total height mm010=h Total width of flange mm40=b Total width of edge fold mm15=c Internal radius mm3=r
Nominal thickness mm1nom =t
Steel core thickness mm96,0=t
Basic yield strength 2yb mmN350=f
Modulus of elasticity 2mmN210000=E Poisson’s ratio 3,0=ν
Shear modulus ( )2mmN81000
12=
+=
νEG
Example: Design of a cold-formed steel lipped channel wall stud in compression
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Document Ref: SX024a-EN-EU Sheet 2 of 3 Title
Example: Design of a cold-formed steel lipped channel wall stud in compression
CALCULATION SHEET
Eurocode Ref EN 1993-1-3 Made by V. Ungureanu, A. Ruff Date Jan 2006
Checked by D. Dubina Date Jan 2006
Partial factors 0,1M0 =γ
0,1M1 =γ
35,1G =γ – permanent loads
50,1Q =γ – variable loads
EN1993-1-3 §2(3) EN1990
Derived data (section properties and action effects) Properties of the gross cross-section
Gross cross-section area: 2mm198=A
Position of z-z axis of the gross cross section with respect to the web:
mm88,12c =y
Properties of the effective cross-section
Effective area of the cross-section in compression: 2eff mm118=A
Position of z-z axis of the effective cross-section with respect to the web:
mm92,15effc, =y
Effective section modulus for bending about weak axis:
3comz,eff, mm1274=W
3tenz,eff, mm2585=W
EN1993-1-3 §5.5.3.1§5.5.3.2EN1993-1-5 §4.4, and SX022, SX023
The applied concentrated load on the stud (only compression)
( ) ( ) kN3,2510550,150,16,035,1QQGGEd =+××+×=++= QLqqN γγ
EN1990
Resistance check of the cross-section
The following condition should be satisfied:
1comRd,cz,
Edz,Edz,
Rdc,
Ed ≤Δ+
+M
MMNN
EN1993-1-3 §6.1.9(1)
Example: Design of a cold-formed steel lipped channel wall stud in compression
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Document Ref: SX024a-EN-EU Sheet 3 of 3 Title
Example: Design of a cold-formed steel lipped channel wall stud in compression
CALCULATION SHEET
Eurocode Ref EN 1993-1-3 Made by V. Ungureanu, A. Ruff Date Jan 2006
Checked by D. Dubina Date Jan 2006
where:
M0ybeffRdc, γfAN =
M0ybcomeff,comRd,cz, /γfWM =
NzEdEdz, eNM =Δ
Nze – is the shift of centroidal z-z axis
EN1993-1-3 § 6.1.3
§ 6.1.4
EN1993-1-3 §6.1.9 (2)
0Edz, =M
mm04,35,1592,15ceffc,Nz =−=−= yye
The resistance check is:
1785,00,1350127404,3253000
0,135011825300
<=×
×++
× – OK
Example: Design of a cold-formed steel lipped channel wall stud in compression
Discuss me ...C
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201
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Example: Design of a cold-formed steel lipped channel wall stud in compression SX024a-EN-EU
Quality Record
RESOURCE TITLE Example: Design of a cold-formed steel lipped channel wall stud in compression
Reference(s)
ORIGINAL DOCUMENT
Name Company Date
Created by V. Ungureanu, A. Ruff BRITT Ltd. Timisoara, Romania
Technical content checked by D. Dubina BRITT Ltd. Timisoara, Romania
Editorial content checked by
Technical content endorsed by the following STEEL Partners:
1. UK G W Owens SCI 12/4/06
2. France A Bureau CTICM 12/4/06
3. Sweden B Uppfeldt SBI 11/4/06
4. Germany C Müller RWTH 11/4/06
5. Spain J Chica Labein 12/4/06
Resource approved by Technical Coordinator
G W Owens SCI 19/7/06
TRANSLATED DOCUMENT
This Translation made and checked by:
Translated resource approved by:
Example: Design of a cold-formed steel lipped channel wall stud in compression
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