# Example 1 Earthquake Load Combinations: Strength Design

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2 Example 1 Earthquake Load Combinations: Strength Design Calculations and Discussion Code Reference 1. Governing strength design seismic load combinations 1.2D + 1.0E + 0.5L... (Note 0.2S = 0) (Comb. 5) 0.9D + 1.0E (Comb. 7) where for a given type of load action such as moment M or axial load P E = E h + E v (Eq ) E h = ρq E (Eq ) E v = 0.2S DS D (Eq ) Combined, these yield E = ρq E + 0.2S DS D when the algebraic sign, ±, of Q E is taken as the same as that for D, and E = ρq E 0.2S DS D when the algebraic sign, ±, of Q E is taken as opposite to that for D. For the given values of : ρ = 1.3, S DS = 1.10, the load combinations are 1.2D + 1.3Q E + (0.2)(1.1)D + 0.5L = 1.42D + 1.3Q E + 0.5L (Comb. 5) when the signs of Q E and D are the same, and 1.2D + 1.3Q E (0.2)(1.1)D + 0.5L = 0.98D + 1.3Q E + 0.5L (Comb. 5) 0.9D + 1.3Q E + (0.2)(1.1)D = 1.12D + 1.3Q E (Comb. 7) when the signs of Q E and D are the same, and 0.9D + 1.3Q E (0.2)(1.1)D = 0.68D + 1.3Q E (Comb. 7) By inspection, the governing seismic load combinations are 1.42D + 1.3Q E + 0.5L when the signs of Q E and D are the same, 0.68D + 1.3Q E IBC Structural/Seismic Design Manual, Vol. I 2009_IBCVol1_ indd 26

5 Example 2 Combinations of Loads 2.4 Example 2 Combinations of Loads 2.4 The code permits the use of allowable stress design for the design of wood members and their fasteners (ASCE/SEI and ). Section 2.4 defines the basic load combinations for allowable stress design. This example illustrates the application of this method for the plywood shear wall shown below. The wall is a bearing and shear wall in a light wood framed building. The following information is given: Seismic Design Category B Gravity loads I = 1.0 ρ = 1.0 S DS = 0.3 E = E h = ρq E = 4 kips (seismic force due to the base shear determined from ) Dead w D = 0.3 klf (tributary dead load, including weight of wall) Moment arm from center of post to center of hold-down bolt L = 10 ft ( /2) = 10 ft 7.25 in = 9.4 ft Determine the required design loads for shear capacity q and hold-down capacity T for the following load combinations. 1. Basic allowable stress design Calculations and Discussion Code Reference 1. Basic allowable stress design IBC Structural/Seismic Design Manual, Vol. I _IBCVol1_ indd 29

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