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SPECIFICATION FOR THE DESIGN OF - Transcon Steel

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54 Commentary on the Prescriptive Method for One and Two Family Dwellings - 2004<br />

The equation does not give a real number for box-beam headers. This is an indication<br />

that the given box-beam header assembly (2-800S162-43) is inadequate for the given<br />

loading conditions (without intermediate stiffeners).<br />

E3 Back-to-Back Header Design<br />

Calculate the maximum allowable spans for a 2-800S162-43 back-to-back header supporting<br />

an opening located on the first floor of the two-story building described in Section E2. All<br />

referenced equations and sections are to the Specification unless noted.<br />

E3.1 Design Loads<br />

Dead Loads:<br />

Ceiling Dead Load = 5(24/2)<br />

Roof Dead Load = 7(24/2)<br />

Wall Dead Load = 10(8)<br />

Top Floor Dead Load = 10(24/2)<br />

Soffit Dead Load = 2(7)<br />

Total Dead Load<br />

Live Loads:<br />

Roof Live Load = 16(28/2)<br />

Snow Load = 0.7(50)(28/2)<br />

Top Floor Live Load = 30(24/2)<br />

= 60 plf<br />

= 84 plf<br />

= 80 plf<br />

= 120 plf<br />

= 14 plf<br />

= 358 plf<br />

= 224 plf<br />

= 490 plf<br />

= 360 plf<br />

E3.2 Load Combinations<br />

1. 1.4D = 1.4(358) = 501 plf<br />

2. 1.2D + 1.6L + 0.5(L r or S) = 1.2(358) + 1.6(360) + 0.5(490) = 1,251 plf<br />

3. 1.2D + 0.5L + 1.6(L r or S) = 1.2(358) + 0.5(360) + 1.6(490) = 1,394 plf controls<br />

E3.3 Member Properties<br />

H = 8.0”<br />

t = 0.045”<br />

R = 0.09375”<br />

I xx = 9.21 in 4<br />

E3.4 Bending Capacity<br />

M n = 3,166 ft-lb<br />

Φ b = 0.95<br />

Φ b M n = 6,016 ft-lb<br />

2<br />

wL<br />

M =<br />

8<br />

L =<br />

L = 5.88 ft = 5’-10-1/2”<br />

E3.5 Deflection Limit<br />

∆ = L/240 (total loads)<br />

Web depth<br />

Design thickness<br />

Inside bend radius<br />

Moment of inertia<br />

Unfactored nominal moment capacity (calculated per Specification)<br />

Resistance factor for bending strength (per Specification)<br />

(for two sections, punched)<br />

8M<br />

w<br />

=<br />

8(6,016)<br />

1,394<br />

The deflection equation for a simply supported span with distributed load is:

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