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fundamentals of engineering supplied-reference handbook - Ventech!

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STEEL STRUCTURES<br />

LOAD COMBINATIONS (LRFD)<br />

References: AISC LRFD Manual, 3rd Edition<br />

AISC ASD Manual, 9th Edition<br />

Floor systems: 1.4D<br />

Ro<strong>of</strong> systems: 1.2D + 1.6(Lr or S or R) + 0.8W<br />

1.2D + 1.6L<br />

1.2D + 0.5(Lr or S or R) + 1.3W<br />

0.9D ± 1.3W<br />

where: D = dead load due to the weight <strong>of</strong> the structure and permanent features<br />

L = live load due to occupancy and moveable equipment<br />

L r = ro<strong>of</strong> live load<br />

S = snow load<br />

R = load due to initial rainwater (excluding ponding) or ice<br />

W = wind load<br />

TENSION MEMBERS: flat plates, angles (bolted or welded)<br />

Gross area: Ag = bg t (use tabulated value for angles)<br />

Net area:<br />

2<br />

s<br />

An = (bg − ΣDh + ) t across critical chain <strong>of</strong> holes<br />

4g<br />

where: bg = gross width<br />

t = thickness<br />

s = longitudinal center-to-center spacing (pitch) <strong>of</strong> two consecutive holes<br />

g = transverse center-to-center spacing (gage) between fastener gage lines<br />

Dh = bolt-hole diameter<br />

Effective area (bolted members):<br />

U = 1.0 (flat bars)<br />

Ae = UAn U = 0.85 (angles with ≥ 3 bolts in line)<br />

U = 0.75 (angles with 2 bolts in line)<br />

LRFD<br />

Yielding: φTn = φy Ag Fy = 0.9 Ag Fy<br />

Fracture: φTn = φf Ae Fu = 0.75 Ae Fu<br />

Block shear rupture (bolted tension members):<br />

Agt =gross tension area<br />

Agv =gross shear area<br />

Ant =net tension area<br />

Anv=net shear area<br />

When FuAnt ≥ 0.6 FuAnv:<br />

φRn =<br />

When FuAnt < 0.6 FuAnv:<br />

φRn =<br />

smaller<br />

smaller<br />

0.75 [0.6 Fy Agv + Fu Ant]<br />

0.75 [0.6 Fu Anv + Fu Ant]<br />

0.75 [0.6 Fu Anv + Fy Agt]<br />

0.75 [0.6 Fu Anv + Fu Ant]<br />

121<br />

CIVIL ENGINEERING (continued)<br />

Effective area (welded members):<br />

U = 1.0 (flat bars, L ≥ 2w)<br />

Ae = UAg U = 0.87 (flat bars, 2w > L ≥ 1.5w)<br />

U = 0.75 (flat bars, 1.5w > L ≥ w)<br />

U = 0.85 (angles)<br />

0<br />

ASD<br />

Yielding: Ta = Ag Ft = Ag (0.6 Fy)<br />

Fracture: Ta = Ae Ft = Ae (0.5 Fu)<br />

Block shear rupture (bolted tension members):<br />

Ta = (0.30 Fu) Anv + (0.5 Fu) Ant<br />

Ant = net tension area<br />

Anv = net shear area

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