9. CALCULATION EXAMPLES OF LVL STRUCTURES 9.5 WALL STUD Load-bearing internal wall is a centre support of an intermediate floor of a 2 storey one family house. 45x120mm LVL 32 P wall stud L is 2700mm and they are at s = 600mm spacing. Each stud is loaded by the self-weight of the structure gk is 5kN and imposed load qk is 11kN. Eccentricity ez of the loading is assumed to be ¼ of the stud width = 120mm/4 = 30mm. Buckling is prevented by wall panelling in the weaker direction. Service class SC1. Stud properties: Bending strength edgewise fm,0,edge,k = 27 N/mm2 Shear strength edgewise fv,0,edge,k = 4 N/mm2 Compression parallel to grain fc,0,k = 26 N/mm2 Modulus of elasticity E0,k = 9 600 N/mm2 Modulus of elasticity E0,mean = 8 000 N/mm2 Modulus of rigidity G0,edge,k = 600 N/mm2 Modulus of rigidity G0,edge,mean = 400 N/mm2 Area of cross section A = b∙h = 5400 mm2 Section modulus Wy = b∙h2/6 = 1,08∙105mm3 Moment of inertia Iy = b∙h3/12 = 6,48∙106 mm4 Moment stiffness of the joist EIy = 13800 N/mm2 ∙ 1,08∙105 mm4 = 8,94∙1010 Nmm2 Shear rigidity of the joist GA = 600 N/mm2 ∙ 5400 mm2 = 3,24∙106 N Modification factor kmod for medium-term, SC1 = 0,8 Modification factor kdef for SC1 = 0,6 Material safety factor γM (default value in EC5) =1,2 Size effect factor kh = (300/120)0,15 = 1,15 LVL Handbook Europe 195
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