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2. Timber and bolt strength properties

Table 1.3, strength class C22 and C18 timber (BS EN 338:2003(E), Table 1)

Characteristic density of member 1 p 1k = 340 kg/m3 timber, pk

Characteristic density of members 2 and p2k = 320 kg/m3 3 timber, p 2k

Stength of bolt:

Characteristic tensile strength of /u k = 400 N/mm2

3. Partial safety factors and modification factor

Material factor for connection, y M yM = 1.3

Factor for medium-duration loading and kmod.med = 0.80 service class 2, kmod.med (Table 2.4 (EC5, Table 3.1))

4. Actions

Design action in member AB, FABv.d1 FABv.d1 = 13.92kN Design action in member BC, FBCv.d1 FBCv.d1 = 8.7kN

Resultant horizontal design action in Fv.d.1 = FABv.d.1 each member 1 at B, Fv.d1

Design vertical action in each member 1 FVv.d.1 = 3.48 kN at B, FVv.d.1

Design action in each member 2, Fv.d.2 Fv.d.2 = 7.382 kN

5. Strength of shear planes in the joint

Embedment factor for softwood timber, K90 = 1.35 + 0.015 - d mm-1

Characteristic embedment strength of member 1 parallel to the grain, / 1h.0.k (equation (10.35); EC5, equation (8.32)) (The equation incorporates dimension factors for Mathcad.

/1h 0k = 0.082 • (1 - 0.01 • d mm-1) • ^p 1k • ^g-) • Nmm-2 f1h0k = 23.42N/mm2

Characteristic embedment strength of members 2 and 3 parallel to the grain,/2hXlk(equation (10.35); EC5, equation (8.32))

/2h0k = 0.082 ■ (1 - 0.01 ■ d mm-1) ■ ^o2k ■ ^g^ ■ Nmm-2 f 2h.o.k = 22.04N/mm Shear plane force and its angle relative to the grain (in radians):

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