Catechism of the locomotiveForney, Matthias N. (Matthias Nace)
Science
Catechism of the locomotive
Forney, Matthias N. (Matthias Nace)
Locomotives -- Handbooks, manuals, etc.
_Answer._ If the co-efficient of friction in the two cases is the same,
undoubtedly the large journal will require the greatest expenditure
of energy to turn it, because its periphery moves further than that
of the small one; but the advantage attributed to large journals is
that they can be lubricated more perfectly, because their surfaces
being larger the pressure is not so great per square inch, and thus
the gain from the reduction of the co-efficient of friction is greater
than the loss attributable to the increase of the diameter of the
journal. Thus if a car journal is 3¹⁄₄ inches in diameter × 5¹⁄₂ inches
long, the available surface exposed to friction is equal to that of a
longitudinal section of the journal, or 3¹⁄₄ × 5¹⁄₂ = 17.875 square
inches.[85] Supposing now that the journal is loaded with 5,000 pounds,
and the average co-efficient of friction is 0.085. In one revolution
of the wheel the journal will move 0.85 of a foot, and therefore 5,000
× .085 = 361¹⁄₄ foot-pounds of work. If now the journal is made, as
has been proposed, 3³⁄₄ × 7 inches, then its effective surface will
be equal to 26¹⁄₄ square inches, but the journal will move 0.98 of a
foot in one revolution. If, however, the lubrication is improved by the
increased area of the journal so that the co-efficient of friction is
reduced from 0.085 to 0.07, then the energy consumed in one revolution
will be equal to 5,000 × 0.7 × .98 = 343 foot-pounds, or less than
was consumed with the small journals. The co-efficient of friction is
assumed, and could only be determined by experiment, but the assumption
shows how the resistance of the large journals may be less than that
of the small ones. Of course it would be better to give the increased
bearing surface by adding to the length of the journal, but nearly all
locomotives and car journals must be increased in diameter as well
as in length when they are enlarged, in order to have the requisite
strength to carry the loads they must bear.
[85] The reason for this is that the effective surface of the
journal _A_, fig. 209. which resists the pressure of the bearing, is
equivalent only to the horizontal area represented by the dotted line
_a. b._ just as the surface which resists the pressure inside of a
boiler is equivalent to the diameter multiplied by its length, as was
explained in answer to Question 99.
QUESTION 367. _Is the law that_ FRICTION IS IN PROPORTION TO THE
PRESSURE ON EACH OTHER BY THE SURFACES OF CONTACT _true under all
circumstances?_
_Answer._ No; there is a limit to the exactness of the above law, when
the pressure becomes so intense as to crush or grind the parts of the
bodies at and near their surfaces of contact. At and beyond that limit
the friction increases more rapidly than the pressure;[86] and the
friction then becomes very irregular.
[86] Rankine.
QUESTION 368. _In what cases is the limit referred to probably reached?_
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