Field Engineering: A Hand-book of the Theory and Practice of Railway Surveying, Location, and Construction, Designed for the Class-room, Field, and Office, and Containing a Large Number of Useful Tables, Original and Selected

Front Cover
J. Wiley & sons, 1899 - 503 pages
 

Contents

Leveller
13
Rodmen
14
The level
15
The clinometer
16
Transit points
17
Obstacles to alignment and zaeasurement
18
General problem
19
Lines at a large angle
20
Selection of angles
21
CHAPTER III
24
Engine traction
25
Engine expense
26
Resistance to motion
27
Resistance due to curve
28
Formulæ for maximum trains
29
Enginestage
30
Graphical solution
32
Train load reciprocals
33
Assisting engines
36
Maximum return grades
37
Undulating grades
38
Value of distance saved
39
Levellers duties Profiling
40
Establishing grade lines
41
CHAPTER V
42
Radius and degree of curve
43
Measurement of curves
44
Central angle and length of curve
45
Definition of other elements
46
Formula for long chord C
48
Formula for radius in terms of T and A
49
Formula for external distance in terms of T and A
50
Rocky shores Tielines
53
SECTION
77
Deflection angles
101
Ratio of correction to excess of
107
By offsets from the chords produced
113
By tangent offsets
119
SECTION PAGE 173 To find a new P C C and last radius R for new direction of tangent through same P T
124
Do beginning with any subchord
125
To replace a simple curve by a threecentred compound curve between the same tangent points
127
To find the distance between the middle points of a simple curve and threecentred compound curve
129
To pass an obstacle on a curve
131
The curve sharpened at the tangents
132
To replace a tangent by a curve compounded with the adjacent curves
134
When the perpendicular offset p is assumed
136
To find a new radius for a parallel tangent
137
Locus of the centre O
138
To find new tangent points for two parallel tangents
139
To find new R and P C for new tangent at same P
140
To find new P C for a new tangent from same vertex
141
To find new radius for a new tangent from same vertex
142
To find new R and P C for same external distance but new
143
To find a curve to pass through a given point
144
To find new radius for a given radial offset
145
Equation of the valvoid
146
To find direction of a tangent to the valvoid at any point
147
To find the radius of curvature of the valvoid at any point
148
To find the length of are of the valvoid PAGE 78 80 81 81 82 83 84
149
To find new position of any stake for a new radius from same P C
150
To find new radius from same P C for new position of any station
151
To find distance on any line between tangent and curve
152
To find a tangent to pass through a distant point
153
To find a line tangent to two curves
154
To find a line tangent to two curves reversed
155
Study of location on preliminary map Templets Table of con venient curves
156
Definition
157
The circumscribing circle
158
The locus of the point of compound curve
159
The inscribed circle of the principal radii Cor 2 Maxima and minima of the radii
160
Formula for radii central angles and sides
161
S₁ S₂ A and R₁ to find A A and R₂ 1 2 2
162
Turnout on the outside of a curved track
163
Tongue switches
164
Tongue switch double turnout to find F
165
Tongue switch double turnout with three given frogs
166
Tongue switch double turnout on same side of straight track with three given frogs
167
b The middle track compounded at F
168
To find elevation of outer rail on curves
177
To find a chord whose middle ordinate equals the proper eleva tion
179
General remarks on coned wheels
180
CHAPTER VIII
181
Height of instrument H I
182
Rule for backsights and foresights
183
Profiles
184
Simple levelling test levels
185
Errors due to curvature of the earth
186
Errors due to refraction
187
Levelling by transit or theodolite
188
To find the H I by observation of the horizon
189
Stadia measurements horizontal sights
191
Stadia measurements inclined sights vertical rod
193
Stadia measurements inclined sights inclined rod
195
CHAPTER IX
196
Clearing and grubbing
197
Cross sections formulæ for
198
Cross sections staking out
200
Cross sections on irregular ground
201
Compound cross sections
202
Selection of points for cross sections
203
Form of crosssection book
204
Extended cross profiles
205
Isolated masses
206
Officework
207
Drains and culverts
208
Arch culverts
209
Foundation pits Bridge chords on curves
210
Cattleguards
214
Location Alignment Shafts Curves Levels Grades Sections Rate of progress Ventilation Drain age
216
Retracing the line
222
Side ditches and drains
223
CHAPTER X
225
Formulæ for sectional areas
227
Prismoidal formulæ for solid contents
229
Tables of equivalent depths
231
Formula for equivalent depth in terms of slope angle
232
Conditions necessary for correct results in use of tables
233
Exact calculation of content examples
234
102
235
Wedges and pyramids
236
103
237
Systems of diagrams
238
Correction for curvature in earthwork
239
104
240
105
241
Haul Centre of gravity of prismoid
243
106
244
Final estimate
245
271 Monthly estimates
246
SECTION PAGE
247
The theodolite
253
Geometrical Propositions
270
107
272
Trigonometrical Formulæ
273
Curve Formulæ
277
110
111
2
62
3
AB VAB VBA and R2 to find A A and R₁ 104 Given R₁ A1 R₂ A2 to find the triangle VAB 165 Given A the radii and one side to find the other ...
4
121
9
Middle Ordinates for Rails 304
16
Grades and Grade Angles 305
18
Barometric Heights in feet 307
20
Correction for Earths Curvature and Refraction 309
22
Coefficient for Reducing Stadia Measurements 310
11
Minutes in Decimals of a Degree 313
2
Inches in Decimals of a Foot 314
3
Squares Cubes Roots and Reciprocals 315
7
System of plotting map 23
23
33
Logarithmic Versed Sines and External Secants 404
Natural Tangents and Cotangents 458
Natural Versed Sines and External Secants 470
2
Useful Numbers and Formulæ 500
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 243 - Haul. The cost of removing excavated material, when the distance does not exceed a certain specified limit, is included in the price per cubic yard of the material as measured in the cutting. But when the material must be carried beyond this limit, the extra distance is paid for at a stipulated price per cubic yard, per 100 feet. The extra distance is known by the name of haul...
Page 203 - Fig. 8, thus slightly changing the grade at and near the point of intersection. A vertical curve rarely need extend more than 200 feet each way from that point.
Page 260 - At the end of table XXIV. is a small table of logarithms of numbers from 1 to 100, with the characteristic prefixed, for easy reference when the given number does not exceed two digits. But the same mantissas may be found in the larger table. TABLE XXV.— The logarithmic sine, tangent, etc.
Page 258 - XXFV. contains the mantissas of logarithms, carried to six places of decimals, for numbers between 1 and 9999, inclusive. The first three figures of a number are given in the first column, the fourth at the top of the other columns. The first two figures of the mantissa are given only in the second column, but these are understood to apply to the remaining four figures in either column following, which are comprised between the same horizontal lines with the two.
Page 263 - Il — q, whence n is easily found. Find in the first column two consecutive quantities between which the number n falls, and if the degrees are read from the left hand side of the page, adopt the less, take out the minutes from the second column, and take for the seconds the difference between the quantity adopted and the number п.
Page 229 - A' = the areas at the two parallel ends, and M = the area of a section midway between the ends. This area is not a mean of the other two, but the linear dimensions of the mid-section are means of the corresponding dimensions severally of the end sections; from which therefore the area of the mid section may be computed.
Page 263 - Find in the proper column two consecutive logarithms between which the given logarithm falls. If the title of the given function is found at the top of that column read the degrees from the top of the page; if at the bottom read from the bottom. Find the value of (q...
Page 258 - ... of the calculation. By this rule we have Number. Logarithm. 1.384 0.141136 .1384 9.141136 .01384 8.141136 .001384 7.141136 etc. etc. No confusion need arise from this method in finding" a number from its logarithm; for although the logarithm 6.141136 represents either the number 1,384,000, or the decimal .0001384, yet these are so diverse in their values that we can never be uncertain in a given problem which to adopt.

Bibliographic information