|
DESIGN
OF SUSPENDER FRAMING
Summary
The suspender framing system
uses back-to-back angles, or channels, that
are spaced apart by the rod fittings. Initially,
the allowable load was assumed to be 1,000 lbs
for a pair of angles. Analytically, the task
then was to find the maximum spans for various
sizes of angles. The AISC equations (Chapter
F of the 2005 Specification) were used for a
single angle, unbraced for its entire span and
supporting 500 lbs at midspan. An unrestrained
angle, subject to a vertical force parallel
to one leg, will deflect both vertically and
horizontally.
Subsequent testing demonstrated
that this analytical approach was overly conservative.
The rod fitting did provide a substantial amount
of bracing.
Thus a more accurate analytical
model was considered. This model included the
benefit of symmetry: i.e., at the rod fitting,
each angle exerted an equal but opposite horizontal
force on the other. The net result is no net
horizontal movement at the load point (rod).
Load-deflection equations, for the principal
axes of the angles, were used to find the horizontal
force needed to prevent horizontal deflection
of a single angle for a given vertical load.
This horizontal force is a fixed percentage
of the vertical force, for each angle size.
For a particular vertical load, this combination
of forces resulted in significantly less bending
stress, and thus a higher bending strength,
as compared to the first approach. In addition,
to allow for the fact that the concentrated
load could be placed anywhere in the span, the
unbraced length was taken as 0.75 times the
span. Chapter F of the 2005 AISC Specification
was also used for this model.
With the second model, the
predicted (nominal) load capacity was much closer
to, but still less than, the factored maximum-capacity
for load at midspan, for a given test span and
angle size. A reduction factor (equal to the
ratio of specified minimum-yield stress to test-coupon
yield stress, for each angle size tested) was
multiplied times the test-determined maximum
load to determine a reduced maximum-capacity.
This reduced maximum-capacity constitutes an
expected lower-bound on the actual strength.
For back-to-back channels,
analysis was based on Chapter F of the 2005
AISC Specification. Predicted strength values
(adjusted to account for delivered versus minimum
yield) were less than the test values.
The allowable load, based
on strength for each span/size combination of
both angles and channels, was taken to be the
calculated, nominal-load capacity divided by
a safety factor of 2.0. The unbraced length
was taken as 0.75 times the span. For some combinations,
the deflection limit of span/240 resulted in
an allowable load less than the value based
on strength alone.
|