KLH 7s 220 TL

KLH 7s 220 TL is a cross-laminated solid wood panel from KLH Massivholz GmbH, also known as KLH® - CLT. The panel has 7 layers and has a total thickness of 220mm. As a TL element, it is usually used as a ceiling and roof panel in solid timber construction. The crosswise arrangement of the longitudinal and transverse lamellas minimizes the swelling and shrinkage of the wood in the panel plane. At the same time, this increases the static load-bearing capacity and dimensional stability in the panel plane. Depending on the thickness and the presence of cladding, fire protection requirements of 30, 60, 90 and 120 minutes are met.

Graphical representation

KLH 7s 220 TL

Stiffness and cross section properties for EDP-based analysis

1	2	3	4	5
Stiffness Properties for the modelling of KLH-Elements as shear-flexible plate structure by means of FEM
Description		b = 1m		Unit
Description		X	Y	Unit
1 EJ	Bending stiffness	EJ		7,060	3,590	kNm²/m
EJ - Bending stiffness [kNm²/m]
Bending stiffness
2 GJ	Torsional stiffness	GJ		383		kNm²/m
GJ - Torsional stiffness [kNm²/m]
Torsional stiffness
3 GA	Shear stiffness	GA		17,800	12,200	kN/m
GA - Shear stiffness [kN/m]
Shear stiffness
4 EA	Extensional stiffness	EA		1,440,000	1,200,000	kN/m
EA - Extensional stiffness [kN/m]
Extensional stiffness
5 GA2	In-plane shear stiffness	GA2		74,200		kN/m
GA2 - In-plane shear stiffness [kN/m]
In-plane shear stiffness

1	2	3	4	5
Stiffness Properties for the modelling of KLH-Elements as orthotropic plate by means of FEM
Description		b = 1m		Unit
Description		X	Y	Unit
1 t_red	Reduced plate depth	t_red		192	153	mm
t_red - Reduced plate depth [mm]
Reduced plate depth
2 G_mean	G-Modulus for plate action^{1, 2}	G_mean		96		N/mm²
G_mean - G-Modulus for plate action^{1, 2} [N/mm²]
G-Modulus for plate action^{1, 2}
3 E_mean	E-Modulus (MOE) for plate action	E_mean		12,000		N/mm²
E_mean - E-Modulus (MOE) for plate action [N/mm²]
E-Modulus (MOE) for plate action
4 t_red	Reduced membrane depth	t_red		120	100	mm
t_red - Reduced membrane depth [mm]
Reduced membrane depth
5 G_mean	G-Modulus for membrane action^{1, 3}	G_mean		742		N/mm²
G_mean - G-Modulus for membrane action^{1, 3} [N/mm²]
G-Modulus for membrane action^{1, 3}
6 E_mean	E-Modulus (MOE) for membrane action	E_mean		12,000		N/mm²
E_mean - E-Modulus (MOE) for membrane action [N/mm²]
E-Modulus (MOE) for membrane action

1) The shear modulus applies to the equivalent rectangular cross section and has been adapted accordingly (i.e. increased by a factor of 6/5), since the current FE programs generally do not allow any further specifications.
2) The shear modulus for the plate action specified here represents the less favourable value for the X and Y directions.
3) The shear modulus for the membrane action specified here represents the less favourable value for the X and Y directions.
1	2	3	4	5
Stiffness Properties for the modelling of KLH-Elements as grillage using lattice frame software (shear-flexible)
Description		b = 1m		Unit
Description		X	Y	Unit
1 b_red	Equivalent beam width	b_red		663	877	mm
b_red - Equivalent beam width [mm]
Equivalent beam width
2 h	Beam depth	h		220	160	mm
h - Beam depth [mm]
Beam depth
3 G_mean	G-Modulus for plate action^{1, 2}	G_mean		147	104	N/mm²
G_mean - G-Modulus for plate action^{1, 2} [N/mm²]
G-Modulus for plate action^{1, 2}
4 E_mean	E-Modulus (MOE) for plate action	E_mean		12,000		N/mm²
E_mean - E-Modulus (MOE) for plate action [N/mm²]
E-Modulus (MOE) for plate action
5 b_red	Equivalent beam width	b_red		120	100	mm
b_red - Equivalent beam width [mm]
Equivalent beam width
6 G_mean	G-Modulus for membrane action^{1, 3}	G_mean		742	890	N/mm²
G_mean - G-Modulus for membrane action^{1, 3} [N/mm²]
G-Modulus for membrane action^{1, 3}
7 E_mean	E-Modulus (MOE) for membrane action	E_mean		12,000		N/mm²
E_mean - E-Modulus (MOE) for membrane action [N/mm²]
E-Modulus (MOE) for membrane action

Cross section properties for manual calculation

1	2	3	4	5
Cross-section values
Description		b = 1m		Unit
Description		X	Y	Unit
1 J_net,t	Net moment of inertia (tension side)	J_net,t		58,800	29,933	cm⁴
J_net,t - Net moment of inertia (tension side) [cm⁴]
Net moment of inertia (tension side)
2 J_net,c	Net moment of inertia (compression side)	J_net,c		58,800	29,933	cm⁴
J_net,c - Net moment of inertia (compression side) [cm⁴]
Net moment of inertia (compression side)
3 A_net	Net cross-sectional area	A_net		1,200	1,000	cm²
A_net - Net cross-sectional area [cm²]
Net cross-sectional area
4 A_eff	Effective cross-sectional area	A_eff		2,200	1,600	cm²
A_eff - Effective cross-sectional area [cm²]
Effective cross-sectional area
5 i_net	Net radius of gyration	i_net		70	55	mm
i_net - Net radius of gyration [mm]
Net radius of gyration
6 e_s,Ra1	Distance between center of gravity and edge 1	e_s,Ra1		110	80	mm
e_s,Ra1 - Distance between center of gravity and edge 1 [mm]
Distance between center of gravity and edge 1
7 e_s,Ra2	Distance between center of gravity and edge 2	e_s,Ra2		110	80	mm
e_s,Ra2 - Distance between center of gravity and edge 2 [mm]
Distance between center of gravity and edge 2
8 W_net,Ra1	Section Modulus for edge 1	W_net,Ra1		5,345	3,742	cm³
W_net,Ra1 - Section Modulus for edge 1 [cm³]
Section Modulus for edge 1
9 W_net,Ra2	Section Modulus for edge 2	W_net,Ra2		5,345	3,742	cm³
W_net,Ra2 - Section Modulus for edge 2 [cm³]
Section Modulus for edge 2

Membrane actions (Tab. A)

1	2	3	4	5
Characteristic load-carrying capacity for In-plane actions
Description		b = 1m		Unit
Description		X	Y	Unit
1 N_t,0,Rk	Tensile force – Constant distribution	N_t,0,Rk		1,980	1,650	kN
N_t,0,Rk - Tensile force – Constant distribution [kN]
Tensile force – Constant distribution
2 N_t,0,m,Rk	Tensile force – Variable distribution	N_t,0,m,Rk		2,880	2,400	kN
N_t,0,m,Rk - Tensile force – Variable distribution [kN]
Tensile force – Variable distribution
3 N_c,0,Rk	Compressive force – Without column stability problem	N_c,0,Rk		2,880	2,400	kN
N_c,0,Rk - Compressive force – Without column stability problem [kN]
Compressive force – Without column stability problem
4 N_c,loc,Rk	Compressive force – Narrow side – Local load introduction	N_c,loc,Rk		4,320	3,600	kN
N_c,loc,Rk - Compressive force – Narrow side – Local load introduction [kN]
Compressive force – Narrow side – Local load introduction
5 N_c,90,Rk	Compressive force – Narrow side – Compression perpendicular	N_c,90,Rk		1,307	950	kN
N_c,90,Rk - Compressive force – Narrow side – Compression perpendicular [kN]
Compressive force – Narrow side – Compression perpendicular
6 N_c,2.73,Rk	Compressive force – Column stability – Buckling lenght: 2.73 m	N_c,2.73,Rk		2,634	1,991	kN
N_c,2.73,Rk - Compressive force – Column stability – Buckling lenght: 2.73 m [kN]
Compressive force – Column stability – Buckling lenght: 2.73 m
7 N_c,2.95,Rk	Compressive force – Column stability – Buckling lenght: 2.95 m	N_c,2.95,Rk		2,589	1,898	kN
N_c,2.95,Rk - Compressive force – Column stability – Buckling lenght: 2.95 m [kN]
Compressive force – Column stability – Buckling lenght: 2.95 m
8 N_c,3.50,Rk	Compressive force – Column stability – Buckling lenght: 3.50 m	N_c,3.50,Rk		2,431	1,620	kN
N_c,3.50,Rk - Compressive force – Column stability – Buckling lenght: 3.50 m [kN]
Compressive force – Column stability – Buckling lenght: 3.50 m
9 N_c,5.00,Rk	Compressive force – Column stability – Buckling lenght: 5.00 m	N_c,5.00,Rk		1,734	-	kN
N_c,5.00,Rk - Compressive force – Column stability – Buckling lenght: 5.00 m [kN]
Compressive force – Column stability – Buckling lenght: 5.00 m
10 N_xy,KF,Rk	In-plane shear force – General action	N_xy,KF,Rk		540		kN
N_xy,KF,Rk - In-plane shear force – General action [kN]
In-plane shear force – General action
11 V_TR,Rk	In-plane shear force – Beam-like elements (H = 1 m)	V_TR,Rk		546	426	kN
V_TR,Rk - In-plane shear force – Beam-like elements (H = 1 m) [kN]
In-plane shear force – Beam-like elements (H = 1 m)

Plate actions (Tab. B)

1	2	3	4	5
Characteristic load-carrying capacity for out-of-plane actions
Description		b = 1m		Unit
Description		X	Y	Unit
1 M_c,Rk	Bending moment – Compression edge	M_c,Rk		12,829	8,980	kNcm
M_c,Rk - Bending moment – Compression edge [kNcm]
Bending moment – Compression edge
2 M_t,Rk	Bending moment – Tension edge	M_t,Rk		12,829	8,980	kNcm
M_t,Rk - Bending moment – Tension edge [kNcm]
Bending moment – Tension edge
3 dM_EL,Rk	Reduction of bending moment – due to single load (SL)	dM_EL,Rk		-		kNcm/kN
dM_EL,Rk - Reduction of bending moment – due to single load (SL) [kNcm/kN]
Reduction of bending moment – due to single load (SL)
4 V_Rk	Shear force	V_Rk		196	149.67	kN
V_Rk - Shear force [kN]
Shear force