Solution Manual For Structural Wood Design: ASD/LRFD, 2nd Edition

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Chapter1SolutionsS1-11-10Determine the total shrinkage across the width and thickness of a green triple 2x4Douglas Fir Larch top plates loaded perpendicular to grain as themoisture contentdecreases from an initial value of 30% to a final value of 12%.For a 2 x 4 sawn lumber, the actual thickness = 1.5 in.For a 2 x 4 sawn lumber, the actual width, d1= 3.5 in.M1= 30 and M2= 12(a)Shrinkage across the width of the 2 x 4 continuous blocking:The shrinkage parameters from Table 1-3 for shrinkage across the width of the 2x4 area = 6.031, and b = 0.215The final width d2is given as,6.031- 0.215 (12)1-100d= 3.526.031- 0.215(30)1-100= 3.365 in.Thus, the total shrinkage across the width of the (triple) 2x4 isd1–d2= 3.5 in.–3.365 in. = 0.135 in.(b)Shrinkage across the thickness of the (triple) 2x 4 top plates:The shrinkage parameters from Table 1-3 for shrinkage across the thickness of the 2x4 plates area = 5.062, and b = 0.181The final thickness d2of each plate is given as,5.062 - 0.181(12)1-100d=1.525.062 - 0.181(30)1-100= 1.451 in.The total shrinkage across thethicknessof the triple top plates is the sum of the shrinkage in eachof the individual wood member calculated as3 plates x (d1–d2) = 3(1.5 in.–1.451 in.) = 0.147 in.

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Structural Wood Design: ASD/LRFD by...

Solution Manual For Structural Wood Design: ASD/LRFD, 2nd Edition

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