## Fig E

Member 3 Member 2 Shear plane (1) Shear plane (2)

Member 1

Five-member connection

1. Geometric properties

Thickness of members 1, t1

Thickness of members 2, t2 Thickness of member 3, t3 Member width (all members), h

Bolt diameter, d

Tensile stress area of the bolt, Abt t1 — 50 mm t2 — 50 mm t3 — 70 mm h — 150 mm h he — 2

2. Timber and bolt properties

Table 1.3, strength class C18 (BS EN 338:2003(E), Table 1)

he 75 mm

Characteristic strength perpendicular to the grain, /c.90.k

Characteristic density of the timber, pk Characteristic strength of the bolt, /u k

3. Partial safety factors and modification factor

Material factor for connection, yM. connection

Material factor, yM

Factor for medium-duration loading and service class 2, kmod.med (Table 2.4 (EC5, Table 3.1))

4. Actions

Design action in member 1, Fv d.i

Design action in member 2, Fv.d.2 Design action in member 3, Fv.d.3

5. Strength of shear planes in joint

Embedment factor for softwood, k9o (Table 10.7, (EC5, equation (8.32)))

Characteristic embedment strength of timber parallel to the grain, /h 0 k

(The equation incorporates dimension factors for Mathcad.)

Shear plane force and its angle relative to the grain:

Angle of shear plane 1 force relative to 012 — 0 ■ deg the grain direction in member 1 in the joint comprising members 1,2,1, 012

Angle of shear plane 1 force relative to 021 — 30 ■ deg the grain direction in member 2 in the joint comprising members 1,2,1, 021

Design force in shear plane 2, Fv.sp.2

(Fv.sp.1 - Fv.d.2 ■ cos(30 ■ deg))2 + (Fv.d.2 ■ sin(30 ■ deg))2

0 0