Appendix 1
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Failure Mode Equations Reference
G F V,RK = f h ,1 ,k t 1 d Equation 1-1
H F V,RK = 0 . 5f h ,2 ,k t 2 d Equation 1-2
Timber-to-Timber (Panel-to-Timber)
Connections
(Double Shear)
J F V,RK = 1 . 05
f h ,1 ,k t 1 d
2+β [ 2β 1 + β
4β 2 + β M y,Rk
f h,1 ,k dt 2
1
−β
] Fax,Rk
4
Equation 1-3
2β F ax,Rk
K F v,Rk = 1 . 15 2M y,Rk f h ,1 ,k d Equation 1-4
1+β 4
Steel-to-Timber Connections - Steel
F F v,Rk = f h ,1 ,k t 1 d Equation 1-5
Plate as Centre Member
(Double Shear)
Appendix 1
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G F v,Rk = f h ,1 ,k t 1 d
[ 2
4M y,Rk
2
f h ,1 ,k dt 1
−1
] Fax,Rk
4
Equation 1-6
Fax,Rk
H F v,Rk = 2 . 3 M y,Rk f h ,1 ,k d Equation 1-7
4
Thin Fax,Rk
K F v,Rk = 1 . 15 2M y,Rk f h,2 ,k d Equation 1-8
Steel 4
Steel-to-Timber
Connections – J
Timber as Independent of or F v,Rk = 0 . 5f h ,2 ,k t 2 d Equation 1-9
Centre Member steel thickness
(Double Shear) L
Thick Fax,Rk
M F v,Rk = 2 . 3 M y,Rk f h ,2 ,k d Equation 1-10
Steel 4
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Equation 1-3, Equation 1-4, Equation 1-6, Equation 1-7, Equation 1-8 and Equation
Fax,Rk
1-10 have another additional term which takes into account the rope effect.
4
Eurocode 5: Part 1 suggested a maximum value of 25% of the Johansen part of the
equations. Therefore these equations can be simplified as shown below:
{
F V,RK = 1 . 25 1 . 05
f h ,1 ,k t 1 d
2+β [ 2β 1 + β
4β 2 + β M y,Rk
f h,1 ,k dt 2
1
−β
]}
Equation 1-3(i)
2β F ax,Rk
F v,Rk = 1 . 15 2M y,Rk f h ,1 ,k d Equation 1-4(i)
1+β 4
F v,Rk = f h ,1 ,k t 1 d
[ 2
4M y,Rk
f h ,1 ,k dt 12
−1
] Fax,Rk
4
Equation 1-6(i)
Fax,Rk
F v,Rk = 2 . 3 M y,Rk f h ,1 ,k d Equation 1-7(i)
4
F v,Rk = 1 . 25 { . 15 2My,Rk f h ,2 ,k d }
1 Equation 1-8(i)
F v,Rk = 1 . 25 { . 3 M y,Rk f h ,2 ,k d }
2 Equation 1-10(i)