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The Locomotive - Lighthouse Survival Blog

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-[34 THE LOCOMOTIVE. [September,<br />

Figs. 2 and 3, the projecting end is flared, or further expanded. Figs. 4 and 5 show<br />

these tools as seen endwise. Little explanation of the manner of using them is necessary.<br />

After the tubes are rolled in, either of the above tools can be used for expanding the<br />

ends. Some prefer the tool with two points of contact, and others use the one with<br />

three. <strong>The</strong> tool is inserted into the end of the tube and driven with a hammer until the-<br />

end of the tube is brought solid against the tube sheet. Only light blows are required,<br />

and the workman can readily tell when the expanding is sufficiently done. Fig. &<br />

shows a tube which has been expanded by this method. In order to ascertain what the<br />

holding power of tubes set in this manner would be, we arranged with Messrs. H. B.<br />

Beach & Sons to prepare for us, in this manner, two test specimens, which were then<br />

submitted to Prof. Richards as before, and tested by him in substantially the same<br />

manner as those described above. <strong>The</strong> ends of the tubes projected /g of an inch beyond<br />

the plate, and were flared so that the external diameter of the extreme end was 3.2^<br />

inches, the diameter of the tube where it entered the plate being 3.1 inches. (<strong>The</strong><br />

original external diameter of these tubes was 3.0 inches, and they were 0.109 of an inch<br />

thick. <strong>The</strong> plates into which they were rolled were § of an inch thick and 6 inches<br />

square.) Prof. Richards' report says: "<strong>The</strong> stress which was sustained without the<br />

tube yielding in the plate was 20,000 lbs. in specimen No. 1078, and 18,500 lbs. in<br />

specimen No. 1079; the observed stress which flrst produced yielding was 20,500'<br />

lbs. in specimen No. 1078, and 19,000 lbs. in specimen No. 1079; and the observed stresswhich<br />

occasioned failure was 21,000 lbs. in specimen No. 1078, and 19,500 lbs. ia<br />

specimen No. 1079."<br />

It will be seen that there was an enormous increase in strength from the additional<br />

expansion, the lowest strain that occasioned yielding in the present case being 19,000'<br />

lbs., against 5,000 lbs. in the previous experiments, where the tubes were simply rolled<br />

out, and not afterwards expanded.<br />

To show that the holding power of tubes is sufficient to stay the head on the part<br />

to which the tubes are secured, let us take a numerical example, choosing for the pur-<br />

pose a head 66 inches in diameter, with 86 3-inch tubes, and a steam pressure of 100 lbs.<br />

to the square inch. Assuming the lowest result of the experiments in each case — that<br />

is, 19,000 lbs. in the flared tubes and 5,000 lbs. in those not flared — we have, as the<br />

holding power of the 86 tubes, 86x5, 000 ==430, 000 lbs. with the plain tubes, and 86 X<br />

19,000=1,634,000 lbs. with the flared ones. <strong>The</strong> tubes being confined to the lower half<br />

of the boiler (the upper part being supposed to be substantially braced by methods to be<br />

explained later), this combined holding power has to resist only the pressure that acts-<br />

against the lower half of the head. <strong>The</strong> area of a 66-inch head is 3,421 square inches,<br />

so that the area of the lower half of such a head is 3,421-^2 = 1,711 sq. in. From this,<br />

area, however, we have to subtract the combined sectional area of the 86 3-inch tubes;<br />

for the steam pressure acts only on the spaces hetween the tubes. <strong>The</strong> area of a 3-inch hole<br />

is 7.069 sq. in., and the combined area of 86 of them would therefore be 7.069x86 =<br />

608 sq. in. Deducting this from the area of the half-head under consideration, we have<br />

left 1,711-608=1,103 sq. in., as the area against which the steam pressure acts. With<br />

steam at 100 lbs. pressure per square inch, the total pressure against this area would be<br />

1,103x100=110,300 lbs. Comparing this with the combined holding power of the<br />

tubes, we find that the plain tubes (not flared) have a factor of safety of nearly 4, and<br />

that the flared tubes have a factor of safety of almost 15. It is doubtful if the plain<br />

tubes would give perfect satisfaction under these circumstances, for although we have<br />

assumed the tubes to be confined to the lower half of the head, it is quite common, and,<br />

indeed usual, in boilers of this diameter, to place one of the tube-rows above the center

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