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SPECIFICATION FOR THE DESIGN OF - Transcon Steel

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

tabulated pressures (Table C2.1) are perpendicular to the vertical projection of the roof.<br />

The uplift component of the pressure can be calculated as follows:<br />

⎛ cos(36.86°<br />

)<br />

Wind Uplift Load =<br />

⎟ ⎞<br />

10 .3<br />

⎜<br />

= 13.73 psf (perpendicular to header)<br />

⎝ sin(36.86°<br />

) ⎠<br />

Applying this wind pressure over a 21-foot member length, the uplift load is:<br />

Wind Uplift Load = 13.73 psf x 21 ft = 288.3 lbs/ft<br />

E5.2 Load Combinations:<br />

1. 0.9D – 1.6W = 0.9(158) – 1.6(288.3) = -319 plf controls<br />

2. 1.2D – 1.6W + 0.5(L r or S) = 1.2(158) – 1.6(288.3) + 0.5(490) = 26.7 plf<br />

3. 1.2D – 0.8W + 1.6(L r or S) = 1.2(158) – 0.8(288.3) + 1.6(490) = 743 plf<br />

E5.3 Member Properties<br />

L 1 = 8.0”<br />

L 2 = 1.5”<br />

t = 0.0566”<br />

S xtop = 0.8564 in 3<br />

E5.4 Bending Capacity<br />

M nu = R M ng<br />

Long leg of angle<br />

Short leg of angle<br />

Design thickness<br />

Section modulus for one angle<br />

(Eq. B3.1.2-1)<br />

where<br />

M ng = gravity moment capacity determined by Eq. B3.1.1-1<br />

R = uplift reduction factor<br />

= 0.25 for L h /t ≤ 150<br />

= 0.20 for L h /t ≥ 170<br />

= use linear interpolation for 150 < L h /t < 170<br />

L h = vertical leg dimension of the angle<br />

t = design thickness<br />

For LRFD, the design moment capacity for uplift shall be determined as follows:<br />

M u = ΦM nu<br />

Φ = 0.80<br />

Eq. B3.1.3-4<br />

M ng = (1.7128)(33,000) = 56,519 lb-in (for two angles)<br />

L h /t = 8.0/0.0566 = 141.3 ≤ 150, Therefore, R = 0.25<br />

M nu = 0.25(56,519) = 14,130 in-lb<br />

2<br />

wL<br />

M<br />

Φ M = L = 8Φ<br />

8<br />

w<br />

8(0.8)(14,130)<br />

L =<br />

= 4’-10”<br />

319<br />

12

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