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7. Shear strength

The design shear condition due to the design loading:

Design value of the end shear Vd —-

force perpendicular to the grain - 2

ignoring the reduction permitted in EC5-see 4.5.2.1, Vd

Design shear stress, Tv.d (adopting Tv.d — 3 Vd the full depth of the beam), Equation (6.3)

Design shear strength, /v.g.d kmod.short ' ksys ' /v.g.k /v.g.d — K

8. Bearing strength

The design bearing condition due to the design loading:

/v.g.d = 2.74 N/mm2 Shear strength is satisfactory

Design value of the end reaction, Reacd — Vd Reacd

Reacd

Design bearing strength, /c.90.g.d kmod.short ' ksys ' /c.90.g.k

Design compression strength parallel to the grain, /c.o.g.d kmod.short ' ksys ' /"c.O.g.k

Design compression strength at an angle p to the grain, /c.p.g.d

kc.90 ' fc.90.g.d sin (90.deg - ß)2 + cos (90.deg - ß)2

The bearing stress is less than the bearing strength; therefore it is acceptable.

9. Combined shear and tension perpendicular to the grain

As the shear stress at the apex will be zero for the design loading condition, the need to check the combined shear and tension condition given in equation (6.30) can be ignored. At any other positon along the beam the combined stress condition will always be less than 1.

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