The Mechanical Properties of Wood: Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber TestingRecord, Samuel J. (Samuel James)
Science
The Mechanical Properties of Wood: Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing
Record, Samuel J. (Samuel James)
Wood; Wood -- Testing
(2) ~Sudden imposition of load without initial velocity.~ "Thus
in the case of placing a load on a beam, if the load be brought
into contact with the beam, but its weight sustained by external
means, as by a cord, and then this external support be
_suddenly_ (instantaneously) removed, as by quickly cutting the
cord, then, although the load is already touching the beam (and
hence there is no real impact), yet the beam is at first
offering no resistance, as it has yet suffered no deformation.
Furthermore, as the beam deflects the resistance increases, but
does not come to be equal to the load until it has attained its
normal deflection. In the meantime there has been an unbalanced
force of gravity acting, of a constantly diminishing amount,
equal at first to the entire load, at the normal deflection. But
at this instant the load and the beam are in motion, the
hitherto unbalanced force having produced an accelerated
velocity, and this velocity of the weight and beam gives to them
an energy, or _vis viva_, which must now spend itself in
overcoming an _excess_ of resistance over and above the imposed
load, and the whole mass will not stop until the deflection (as
well as the resistance) has come to be equal to _twice_ that
corresponding to the static load imposed. Hence we say the
effect of a suddenly imposed load is to produce twice the
deflection and stress of the same load statically applied. It
must be evident, however, that this case has nothing in common
with either the ordinary 'static' tests of structural materials
in testing-machines, or with impact tests."[13]
[Footnote 13: Johnson, J.B.: The materials of construction, pp.
81-82.]
(3) ~Impact, shock,~ or ~blow.~[14] There are various common
uses of wood where the material is subjected to sudden shocks
and jars or impact. Such is the action on the felloes and spokes
of a wagon wheel passing over a rough road; on a hammer handle
when a blow is struck; on a maul when it strikes a wedge.
[Footnote 14: See Tiemann, Harry D.: The theory of impact and
its application to testing materials. Jour. Franklin Inst.,
Oct., Nov., 1909, pp. 235-259, 336-364.]
Resistance to impact is resistance to energy which is measured
by the product of the force into the space through which it
moves, or by the product of one-half the moving mass which
causes the shock into the square of its velocity. The work done
upon the piece at the instant the velocity is entirely removed
from the striking body is equal to the total energy of that
body. It is impossible, however, to get all of the energy of the
striking body stored in the specimen, though the greater the
mass and the shorter the space through which it moves, or, in
other words, the greater the proportion of weight and the
smaller the proportion of velocity making up the energy of the
striking body, the more energy the specimen will absorb. The
rest is lost in friction, vibrations, heat, and motion of the
anvil.
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