Langley Memoir on Mechanical Flight, Parts I and II: Smithsonian Contributions to Knowledge, Volume 27 Number 3, Publication 1948, 1911Langley, S. P. (Samuel Pierpont)
History
Langley Memoir on Mechanical Flight, Parts I and II: Smithsonian Contributions to Knowledge, Volume 27 Number 3, Publication 1948, 1911
Langley, S. P. (Samuel Pierpont)
Aeronautics; Flight
The usual method of employing the twisted rubber was to use a number
of fine strands formed into a hank looped at each end. One of these
hanks, consisting of 162 single or 81 double strands of rubber, and
weighing 73 grammes, when given 51 turns developed 55 foot-pounds
of work, which was put out in 4 seconds. This corresponds to 0.01
horse-power per minute for one pound of rubber. [p023]
The results of a large number of tests show that one pound of twisted
rubber can put forth from 450 to 500 or more foot-pounds of work,
but at the cost of an overstrain, and that a safe working factor can
hardly be taken at higher than 300 foot-pounds, if we are to avoid
the “fatigue” of the rubber, which otherwise becomes as marked as
that of a human muscle.
While twisting is an exceedingly convenient form of application
of the resilience of rubber to the turning of propelling wheels,
the direct stretch is, as has been remarked, much more efficient
in foot-pounds of energy developed by the same weight of rubber.
It was found that rubber could not, without undue “fatigue,” be
stretched to more than four and a half times its original length,
though experiments were made to determine the amount of work that a
rubber band, weighing one pound, was capable of doing, the stretching
being carried to seven times its original length. The results varied
with the rubber used and the conditions of temperature under which
the experiments were tried, ranging from 1543 foot-pounds to 2600
foot-pounds. The tests led to the conclusion that, for average
working, one pound of rubber so stretched, is capable of doing 2000
foot-pounds of work, but, owing to the weight of the supporting
frame and of the mechanism, this result can be obtained only
under conditions impracticable for a flying machine. In the more
practicable twisted form it furnishes, as has been said, less than a
fifth of that amount.
The conclusions reached from these experiments are:
1. The length of the unstretched rubber remaining the same, the
sustaining power will be directly proportional to the weight of
rubber;
2. With a given weight of rubber, the end strain is inversely
proportional to the length of the unstretched rubber;
3. With a given weight of rubber, the work done is constant, whatever
the form; hence if we let ‹w› = the work in foot-pounds, ‹g› = the
weight of the rubber in pounds, and ‹k› = a constant taken at 2000 as
given above, we have
‹w› = ‹kg› = 2000 ‹g› foot-pounds.
This is for an extension of seven units of length, so that for a unit
of extension we would have approximately
‹w› = 300 ‹g› foot-pounds
which for four units of extension corresponds very closely to the
1300 foot-pounds which Pénaud claims to have obtained.
4. The end strain varies with the cross-section for a given unit of
extension.
Public-domain text, read in full here on John Shaqi.
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