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9. CALCULATION EXAMPLES OF LVL STRUCTURES
9.2 LINTEL OVER AWINDOWOPENING
Single span lintel beam over a window opening in a one family house is LVL 48 P beam 45x300 mm. Span
length is
L
= 2300 mm and the lintel is carrying load from 5000m wide roof area. Support length is 150mm.
Snow load
s
k
is 2,75 kN/m
2
and own weight of the structure is 1,0 kN/m
2
. Service class SC1.
Beam properties:
Bending strength edgewise
f
m,0,edge,k
= 44 N/mm
2
Shear strength edgewise
f
v,0,edge,k
= 4,2 N/mm
2
Compression perpendicular to grain edgewise
f
c,90,edge,k
= 6 N/mm
2
Modulus of elasticity
E
0,k
= 11 600 N/mm
2
Modulus of elasticity
E
0,mean
= 13 800 N/mm
2
Modulus of rigidity
G
0,edge,k
= 600 N/mm
2
Modulus of rigidity
G
0,edge,mean
= 400 N/mm
2
Area of cross section
A
=
b∙h
= 13500 mm
2
Section modulus
W
y
=
b∙h
2
/6
= 6,75∙10
5
mm
3
Moment of inertia
I
y
=
b∙h
3
/12
= 1,01∙10
8
mm
4
Moment of inertia
I
z
=
h∙b
3
/12
= 2,28∙10
6
mm
4
Torsion moment of inertia
I
tor
= 0,3∙
h∙b
3
= 8,20∙10
6
mm
4
Moment stiffness of the joist
EI
y
= 13800 N/mm
2
∙ 1,01∙10
8
mm
4
= 1,40∙10
12
Nmm
2
Shear rigidity of the joist
GA
= 600 N/mm
2
∙ 13500 mm
2
= 8,10∙10
6
N
Modification factor kmod for medium-term, SC1
= 0,8
Modification factor
k
def
for SC1
= 0,6
Material safety factor
γ
M
(default value in EC5)
= 1,2
Size effect factor
k
h
= (300/300)
0,15
= 1,00
184
LVL Handbook Europe