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\fdO'^ - Old Forge Coal Mines

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RAILROAD LOCATION. 277<br />

4.0827 ft., which we add to 128.6979 ft., the elevation of<br />

grade at Sta. 28 + 70, giving 132.7806 ft. for the elevation<br />

of grade at Sea. 31 + 80. Here we commence an 8° curve<br />

for 450 ft. =4.5 stations. The compensation in grade for<br />

an 8° curve is .03 ft. X 8 = 0.24 ft. per station. Hence, the<br />

grade for that curve is 1.317 ft. - 0.24 ft. = + 1.077 ft. per<br />

station, and the total rise on the 8° curve is 1.077 ft. x 4.5 =<br />

4.84G5 ft., which we add to 132.7806, the elevation of<br />

grade at Sta. 31 + 80, giving 137.6271 ft. for the elevation<br />

of grade at Sta. 36 + 30, the P. T. of the 8° curve. The<br />

line between Sta. 36 + 30 and Sta. 40 is a tangent, and has<br />

a grade of 4-1.317 ft. per station. The distance between<br />

these stations is 370 ft. = 3.7 stations, and the total rise is<br />

1.317 X 3.7 = 4.8729 ft., which, added to 137.6271 ft., the<br />

elevation of grade at Sta. 36 + 30, gives 142.5 ft. for the<br />

elevation of grade at Sta. 40.<br />

(805)<br />

See Art. 1439.<br />

(806) In this question, ^=+1.0 ft., ^'z=— 0.8 ft.<br />

and « = 3. Substituting these values in formula lOl,<br />

d= ^'~ ^ (see Art. 1440), we have a = -— ~ ~ '<br />

'<br />

) =<br />

4« 12<br />

1 8<br />

-^=0.15 ft. The successive grades or additions for the<br />

6 stations of the vertical curve are the following: g — a,<br />

g — da, g — 5a, g — 7a, g — S)a, g — \\a. Substituting known<br />

values of g and a, we have for the successive grades :<br />

Heights of Curve<br />

Above Starting<br />

Stations. Point.<br />

1. g- rt = 1.0 ft. -0.15 ft. = 0.85 ft 0.85 ft.<br />

2. g- 3rt = 1.0 ft. —0.45 ft; = 0.55 ft. ... .1.40 ft.<br />

3. g- 5rt= 1.0ft. -0.75 ft. = 0.25 ft 1.65 ft.<br />

4. g- 7a = 1.0 ft. -1.05 ft. = -0.05 ft 1.60 ft.<br />

5. ^ - 9

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