Example: Design of a cold-formed steel lipped channel wall stud in compression Discuss me ...
CALCULATION SHEET
SX024a-EN-EU
Document Ref:
Sheet
1
of
Title
Example: Design of a cold-formed steel lipped channel wall wall stud in compression
Eurocode Ref
EN 1993-1-3 V. Ungureanu, A. Ruff
Made by
D. Dubina
Checked by
Date
Jan 2006
Date
Jan 2006
Example: Design of a cold-formed steel lipped channel channel wall stud in co mpression This example deals with the design of a pinned wall stud subjected to compression. 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
t n e m e e r g A e c n e c i L z i b l e e t S e h t f o s n o i t i d n o c d n a s m r e t e h t o t t c e j b u s s i t n e m u c o d s i h t f o e s U . d e v r e s e r s t h g i r l l a 3 t h 1 g 0 i 2 r y y p a o M c s 3 i 2 l a i n r o t e d a e t m a s i e r h C T
3
Height of stud
H = 2,75 m
Spacing between studs
S = 0,6 m
Span of floor
L = 5 m
Spacing between floor joists
S = 0,6 m
Distributed loads applied to the floor: dead load – lightweight slab
1,00 kN m 2 qG
= 1,00 × 0,6 = 0,60 kN
m
2,50 kN m 2
imposed load qQ
=
2,50 × 0,6 = 1,50 kN m
ULS Limit State concentrated load from upper level and roof: Q = 10,0 kN The dimensions of one cross-section and the material properties are: Total height
h = 100 mm
Total width of flange
b = 40 mm
Total width of edge fold
c = 15 mm
Internal radius
r = 3 mm
Nominal thickness
t nom
Steel core thickness
t = 0,96 mm
Basic yield strength
f yb
Modulus of elasticity
E = 210000 N mm
Poisson’s ratio
ν =
Shear modulus
G
= 1 mm
=
=
350 N mm 2 2
0,3 E
2(1 +ν )
= 81000 N
mm 2
Example: Design of a cold-formed steel lipped channel wall stud in compression Discuss me ...
SX024a-EN-EU
Document Ref:
CALCULATION SHEET
2
Sheet
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3
Title
Example: Design of a cold-formed steel lipped channel wall stud in compression
Eurocode Ref
EN 1993-1-3 V. Ungureanu, A. Ruff
Made by
D. Dubina
Checked by
Date
Jan 2006
Date
Jan 2006
EN1993-1-3 §2(3)
γ M0 = 1,0
Partial factors
γ M1 = 1,0 γ G = 1,35
– permanent loads
γ Q = 1,50
– variable loads
EN1990
Deriv ed data (secti on pro perties and action effects ) Properties of the gross cross-section
Gross cross-section area:
A = 198 mm 2
Position of z-z axis of the gross cross section with respect to the web: yc
= 12,88 mm
Properties of the effective cross-section t n e m e e r g A e c n e c i L z i b l e e t S e h t f o s n o i t i d n o c d n a s m r e t e h t o t t c e j b u s s i t n e m u c o d s i h t f o e s U . d e v r e s e r s t h g i r l l a 3 t h 1 g 0 i 2 r y y p a o M c s 3 i 2 l a i n r o t e d a e t m a s i e r h C T
Effective area of the cross-section in compression: Aeff
= 118
mm 2
Position of z-z axis of the effective cross-section with respect to the web: y c,eff
= 15,92
mm
Effective section modulus for bending about weak axis: W eff, z, com W eff, z, ten
= 1274 =
mm 3
EN1993-1-3 §5.5.3.1 §5.5.3.2 EN1993-1-5 §4.4, and SX022, SX023
2585 mm 3
The applied concentrated load on the stud (only compression) N Ed = (γ G qG
+ γ Q q Q
) L + Q = (1,35 × 0,6 + 1,50 ×1,50)× 5 + 10 = 25,3 kN
EN1990
Resistance check of the cross-section The following condition should be satisfied: N Ed N c,Rd
+
M z,Ed + Δ M z,Ed M cz,Rd,com
≤1
EN1993-1-3 §6.1.9(1)
Example: Design of a cold-formed steel lipped channel wall stud in compression Discuss me ...
CALCULATION SHEET
SX024a-EN-EU
Document Ref:
Sheet
of
3
Title
Example: Design of a cold-formed steel lipped channel wall stud in compression
Eurocode Ref
EN 1993-1-3 V. Ungureanu, A. Ruff
Made by Checked by
D. Dubina
where: N c, Rd = Aeff f yb
3
Date
Jan 2006
Date
Jan 2006
EN1993-1-3 § 6.1.3
γ M0
§ 6.1.4 M cz, Rd, com
= W eff, com f yb / γ M0
Δ M z,Ed = N Ed e Nz
EN1993-1-3 §6.1.9 (2)
e Nz – is the shift of centroidal z-z axis M z, Ed = 0 e Nz
= y c,eff −
yc
= 15,92 − 15,5 =
3,04 mm
The resistance check is: 25300 118 × 350 1,0 t n e m e e r g A e c n e c i L z i b l e e t S e h t f o s n o i t i d n o c d n a s m r e t e h t o t t c e j b u s s i t n e m u c o d s i h t f o e s U . d e v r e s e r s t h g i r l l a 3 t h 1 g 0 i 2 r y y p a o M c s 3 i 2 l a i n r o t e d a e t m a s i e r h C T
+
0 + 25300 × 3,04 1274 × 350 1,0
=
0,785
<1
– OK
Example: Design of a cold-formed steel lipped channel wall stud in compression Discuss me ...
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
Compan y
Date
Created b y
V. Ungureanu, A. Ruff
BRITT Ltd. Timisoara, Romania
Technical content checked by
D. Dubina
BRITT Ltd. Timisoara, Romania
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
G W Owens
SCI
19/7/06
Editorial content checked by Technical content endorsed by the following STEEL Partners:
t n e m e e r g A e c n e c i L z i b l e e t S e h t f o s n o i t i d n o c d n a s m r e t e h t o t t c e j b u s s i t n e m u c o d s i h t f o e s U . d e v r e s e r s t h g i r l l a 3 t h 1 g 0 i 2 r y y p a o M c s 3 i 2 l a i n r o t e d a e t m a s i e r h C T
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