distribution of the truss weights over the span.
=90. The Pratt Truss Type.=—In the discussion of these three simple
types of trusses, the simplest possible loading of a perfectly uniform
train will be assumed. The portions into which the trusses are divided
by the vertical or inclined bracing are called panels. In Fig. 19, for
instance, the points 1, 2, 3, 4, 5, and 6 of the lower chord and _a_,
_b_, _c_, _d_, _e_, and _f_ of the upper chord are called panel-points.
The distance between each consecutive two of these points is called a
panel length. The uniform train-load which is to be assumed will be
represented by the weight _W_ at each panel-point. This is called the
“moving load” or “live load.” The own weight of the structure is called
the “dead load” or the “fixed load.” The dead load per upper-chord
panel will be taken as _Wʹ_, and _W_₁ for the lower chord. The loads to
be used will, therefore, be as follows:
Panel moving load = _W_;
Upper-chord panel dead load = _Wʹ_;
Lower ” ” ” ” = _W_₁.
There will also be used the length of panel and depth of truss as
follows:
Panel length = _p_;
Depth of truss = _d_.
In these simple trusses with horizontal upper and lower chords the
stress in any inclined web members is equal to the shear multiplied by
the secant of the inclination of the members to a vertical line. Also,
at each panel-point every inclined web member, in passing from the end
to the centre of the span, adds to either chord stress at that point
an amount represented by the horizontal component of the stress which
it carries; or, what is the same thing, an amount equal to the shear
at the panel in question multiplied by the tangent of its angle of
inclination to a vertical line.
It has already been shown in discussing solid beams that the greatest
shear at any section will be found when the uniform moving load covers
one of the segments of the span. This principle holds equally true for
trusses carrying uniform panel-loads like those under consideration. In
determining the stresses in these trusses, therefore, the inclined web
members will take their greatest stresses when the moving train or load
extends from the farthest end of the span up to the foot of the member
in question. In this connection it is to be observed also that any two
web members meeting in the chord which does not carry the moving load
take their greatest stresses for the same position of the latter. The
so-called “counter web members” take no stresses from the dead load.
Inasmuch as every load placed upon a truss will produce compression in
the upper chord and tension in the lower, the greatest chord stresses
will obviously exist when the moving load covers the entire span,
and that condition of loading is to be used for the stresses in the
following cases.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account