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5. STRUCTURAL DESIGN OF CONNECTIONS

where

f

ax,ε,1,k

is the characteristic withdrawal strength parameter

for a screw at the head side member of the connection

at an angle ε to the grain direction [N/mm

2

];

f

ax,ε,2,k

is the characteristic withdrawal strength parameter

for a screw at the pointside member of the connection

at an angle

ε

to the grain direction [N/mm

2

];

d

is the outer threaded diameter [mm];

l

g,1

is the penetration length of the threaded part in the

head side member [mm];

l

g,2

is the penetration length of the threaded part in the

pointside member [mm];

f

tens,k

is the characteristic tensile capacity of the screw

determined in accordance with EN 14592 [N];

f

head

is the characteristic pull-through parameter of the

screw for the associated density ρa [N/mm

2

];

d

h

is the head diameter [mm];

ρ

k

is the characteristic density of LVL [kg/m

3

]; and

ρ

a

is the associated density for

f

head,k

[kg/m

3

].

When the screwing direction in the beam is ε = 90° to the grain

direction (even though the angle

β

is inclined between the edge

face and the wide face), it is not allowed to add the tension ca-

pacity of the head to the withdrawal capacity of the treaded

part in the beam. Therefore the characteristic withdrawal ca-

pacity

R

T,k

of the screw is calculated by the equation:

R_(T,k)=min{█(max(f_(ax,90,1,k) d l_(g,1) ; f_(h (5.35)

The withdrawal strength

f

ax,ε,k

is determined by testing accord-

ing to EN 14592 and EN 1382 or it can be determined at angle

ε

to the grain as follows:

f_(ax,ε,k)=〖k_ax ∙ f〗_(ax,90,k)/(1,5 cos^2 β + s

(5.36)

32

where

ε

is the angle between the screw axis and the grain

direction, ε ≥ 15°, see Figure 5.12;

β

is the angle between the screw axis and the LVL’s wide

face, with 0°≤

β

≤ 90°, see Figure 5.7

k

ax

in according to the equation (5.29)

ρ

k

is the characteristic density of LVL [kg/m

3

];

ρ

a

is the associated density for

f

ax,k

[kg/m

3

]; and

f

ax,90,k

is the characteristic withdrawal strength parameter

for a screw perpendicular to the grain direction

[N/mm

2

]. It is determined by testing according to

EN 14592 and EN 1382 or for screws in LVL, it may be

assumed as

f

ax,90,k

=15 N/mm² for

ρ

a

= 500 kg/m³ and

screws 6 mm≤

d

≤ 12 mm in softwood LVL/GLVL

32

.

Tension screwed connection

In a joint consisting of only screws in tension, contact between

the wood members is required. Tension screw connection

Figure 5.12.

Inclined screwed connections (A) cross screw

connection (B) tension screw connection

should not be used in conditions where wood drying could

cause a gap of over 0.2d. The gap is determined from the wood

shrinkage at a thickness of the LVL members in the screw

length (

L

∙ sin

α

)

31

.

The characteristic load-carrying capacity of the tension

screw connection, see Figure 5.12 (b), is calculated by the equa-

tion:

R

k

=

n

0,9

R

T,k

(cos

ε

+

μ

∙ sin

ε

)

(5.37)

where

n

is the number of screws in the connection;

R

T,k

is the characteristic withdrawal capacity, see (5.35);

α

is the angle between screw axis and the shear plane

(30° ≤ α ≤ 60°), see Figure 5.12 (b); and

μ

is the kinetic friction coefficient between the members,

the following values may be used:

0.26 for untreated LVL edgewise or LVL to timber or

timber-to-timber connections

0.30 for steel-to-timber connections

0.40 for untreated LVL flatwise connections

C,k

ax,ε,2,k g,2

0,8

tens,k

(5.29)

T,k

= min�

ax,ε,1,k

g,1

+

head,k

h2

a

0,8

ax,ε,2,k

g,2

tens,k

(5.30)

T,k

= min ⎩⎨ ⎧max �

ax,90,1,k

g,1

;

head,k

h2

k a

0,8

ax,ε,2,k

g,2

tens,k

(5.31)

ax,ε,k

=

ax

ax,90,k

1,5 cos

2

+ sin

2

k a

0,8

(5.32)

32

A

B

188 (255)

T,k

= min { max (

ax,90,1,k

g,1

;

head,k

h2

(

k a

)

0,8

)

ax,ε,2,k

g,2

tens,k

(5.35)

The withdrawal strength

f

ax,ε,k

is determined by testing according to EN 14592 and EN 1382

or it can be determined at angle

ε

to the grain as follows:

ax,ε,k

=

ax

ax,90,k

1,5 cos

2

+ sin

2

(

k a

)

0,8

(5.36)

32

where

ε

is the angle between the screw axis and

the grain direction

,

ε

≥ 15°, see Figure

5.11;

β

is the angle between the screw axis and the LVL’s wide face, with 0°≤

β

≤ 90°,

see Figure 5.7

k

ax

in according to the equation (5.29)

ρ

k

is the characteristic den ity of LVL [kg/m

3

];

ρ

a

is the associated density for

f

ax,k

[kg/m

3

]; and

f

ax,90,k

is the characteristic withdrawal strength parameter for a screw perpendicular to

the grain direction [N/mm

2

]. It is determined by testing according to EN 14592

and EN 1382 or for screws in LVL, it may be assumed as

f

ax,90,k

=15 N/mm² for

ρ

a

= 500 kg/m³ and screws 6 mm≤

d

≤ 12 mm in softwood LVL/GLVL

32

.

Tension screwed connection

In a joint consisting of only screws in tension, contact between the wood members is

required. Tension screw connection should not be used in conditions where wood drying

could cause a gap of over 0.2d. The gap is determined from the wood shrinkage at a

thickness of the LVL members in the screw length (

L∙

sin

α

)

31

.

The characteristic load-carrying capacity of the tension screw connection, see Figure 5.11

LVL Handbook Europe

155