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ASD/LRFD Manual - American Wood Council

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96 M14: SHEAR WALLS AND DIAPHRAGMS<br />

Chords<br />

Diaphragms are assumed to act like long deep beams.<br />

This model assumes that shear forces are accommodated<br />

by the structural-use panel web of the “beam” and that<br />

moment forces are carried by the tension or compression<br />

forces in the flanges, or chords of the “beam.” These<br />

chord forces are often assumed to be carried by the double<br />

top-plate of the supporting perimeter walls. Given the<br />

magnitude of forces involved in most light-frame wood<br />

construction projects, the double top-plate has sufficient<br />

capacity to resist tensile and compressive forces assuming<br />

adequate detailing at splice locations. However, offset<br />

wall lines and other factors sometimes make a continuous<br />

diaphragm chord impossible.<br />

Because shear walls act as blocked, cantilevered diaphragms,<br />

they too develop chord forces and require chords.<br />

The chords in a shear wall are the double studs that are<br />

required at the end of each shear wall. Just as chords need<br />

to be continuous in a diaphragm, chords in a shear wall also<br />

need to maintain their continuity. This is accomplished by<br />

tension ties (holddowns) that are required at each end of<br />

each shear wall and between chords of stacked shear walls<br />

to provide overturning restraint. Figure M14.2-4 and the<br />

accompanying generalized equations provide a method to<br />

calculate chord forces.<br />

Figure M14.2-4 Diaphragm Chord<br />

Forces<br />

L<br />

Unit Load (wind or seismic) w<br />

Plan<br />

F(x)<br />

F(x)<br />

x<br />

L 2<br />

Diaphragm reaction = Lw 2<br />

Diaphragm unit shear = Lw L 2 2<br />

Diaphragm moment = wL2<br />

8<br />

Maximum chord force = wL 8L<br />

Chord force at point x, F(x) = wLx wx<br />

−<br />

2L<br />

2L<br />

2<br />

2<br />

2<br />

2<br />

2<br />

<strong>American</strong> <strong>Wood</strong> <strong>Council</strong>

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