Handbook of Civil Engineering Calculations

Length, ft Side (m) Bearing Latitude Departure AV 955(291.1) 90° O +955.00 VB 800(243.8) 21°38' -743.65 +294.93 BO 2 1000(304.8) ...

curvature at a given point is directly proportional to the distance from the start of the curve to the given point, measured alo ...

xc and yc = coordinates of SC; k and p = abscissa and ordinate, respectively, of PC. The coordinates of the SC and PC are useful ...

Even though several of the foregoing equations are actually approximations, their use is valid when the value of D 0 is relative ...

TRANSITION SPIRAL: TRANSIT ATINTERMEDIATE STATION Referring to the transition spiral in the previous calculation procedure, assu ...

Applying Eq. 38a to find the orientation angle and using data from the previous calcu- lation procedure, we find Os = 10.5°, 05 ...

FIGURE 19. Parabolic arc. r = rate of change in grade = 0.02 percent per foot; L = (Gb - G 0 )Ir = [1.8 - (-4.6)]/0.02 = 320 ft ...

DT = (G 6 -Gd)-Y (44Z>) where DT = distance in Fig. 20. Applying Eq. 42 with respect to station 53 + OO yields x = 40 ft (12. ...

Tangent-Offset Method 0.0001 Jc^2 , ft Station x, ft (m) (m) 0.046*, ft (m) y, ft (m) 52 + 60 O (O) O (O) O (O) O (O) 53 + 00 40 ...

FIGURE 21 LOCATION OFA SUMMIT An approach grade of+1.5 percent intersects a grade of-2.5 percent at station 29 + OO of elevation ...

grades is to pass through station 42 + 60 of elevation 213.70 ft (65.136 m). Compute the required length of curve. Calculation P ...

from tangent through A = 4.66 ft (1.4203 m); 4.66/11.232 = 0.415; (208 + 60) 2 /(416) 2 = 0.415. This is acceptable. SfGHT DISTA ...

State the equation for L when S > L Thus, 200(/zj/2 + h\/2)^2 L = 2S- l (47) A Assuming, tentatively, that S < L, compu ...

Find the grade of the drift Apply Eq. 48. In Fig. 24Z), OA is a horizontal line in the vein, OB is the horizontal projec- tion ...

FIGURE 26 FIGURE 25. Determination of strike and dip by orthographic projections. ...

PT, respectively; and let O = angle SOT, O 1 = angle SOW, O 2 = angle TOW, m = tan jS 2 / tan /J 1. Express B 1 in terms of the ...

Applying the specified bearings, draw the horizontal projections AC and BD of the bore- holes in Fig. 21 a. Locate the points o ...

HbG lies in the hanging wall, and this plane is therefore determined. The ensuing con- struction parallels that in the previous ...

FIGURE 28 Compute angle O shown in Fig. 2Bd; determine the strike of the vein, using Eq. 49 Thus, 6 = 180° + <£i - <fe = ...

t = t'(cos a sin 8 -sin a cos 8 cos y) (50) Find the true thickness, using Eq. 50 Thus, borehole through A: 8 = 49°; y = 180° - ...