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Connection capacity
The embedment strength of 3,1x90 mm round nail in LVL 48P and LVL 32P
f
h,LVL 48P,k
= 0,082 ∙
ρ
k
∙
d
- 0,3 = 0,082 ∙ 480 ∙ 2,5 - 0,3 = 28,0 N/mm
2
f
h,LVL32P,k
= 0,082 ∙
ρ
k
∙
d
- 0,3 = 0,082 ∙ 410 ∙ 2,5 - 0,3 = 23,9 N/mm
2
Note: the angle β = 0° for the beam and 90° for the stud, so the simpler equation of embedment strength can be
used.
When the nails are produced from wire with tensile strength
f
u
= 600 N/mm
2
, the characteristic value of
the yield moment
M
y,k
for round nails is
M
y,k
= 0,3 ∙
f
u
∙
d
2,6 = 0,3 ∙ 600 ∙ (2,5)2,6 = 3410 Nmm
9. CALCULATION EXAMPLES OF LVL STRUCTURES
Geometry conditions, Chapter 5, Table 5.1, Figures 5.4 and 5.5.
Ledger beam thickness
t
1
= 51 mm = 16,4
d
>7
d
, so no predrilling is required.
Pointside penetration length
t
2
= 90 mm - 51mm = 39 mm = 12,6
d
, OK
Note: Usually it is recommended to have ≥12d penetration length t
2
.
Minimum distance to unloaded edge
a
4,c
in stud ≥ 7
d
= 7∙3,1 mm = 21,7 mm. Stud thickness 45 mm/2 =
22,5 mm → Nail size 3,1x90 mm is OK for the stud.
Min. nail spacing
a
1
in stud ≥ [(7 + 8(cos α)] ∙
d
= 15
d
= 46,5 mm
Min. distance to unloaded edge of the beam
a
4,c
≥ 5
d
= 15,5 mm
Min. distance to loaded edge of the beam
a
4,t
≥ (5 + 2∙sinα) ∙
d
= 7
d
= 21,7 mm
Maximum number of nails in the connection:
1+((h –min a_(4,c)–min a_(4,t)))/(min a_1 ) =1+((300mm-15,5mm-21,7mm))/46,5mm=6,65
→ 6 nails are chosen for the connection, so that the edge distance
a
4,c
and
a
4,t
at the beam are 25mm and
the nail spacing
a
1
in the stud (which is
a
2
in the beam) is 50 mm.
1 + (ℎ –min
4,c
–min
4,t
)
min
1
= 1 + (300mm − 15,5mm − 21,7mm)
46,5mm
= 6,65
204
LVL Handbook Europe