Pg 81 - Laserfiche WebLink

Home Browse Search

i- \\ R 1 • TABLE X CURVE FORMULAE FOR SIMPLE CURVES COMPILED BY J. CALVIN LOCKE, C.E. (1) e = V21ia (2) c = 1/;-2+b2, (3), = 1/2R (R - V (R+b) (R - b)= 1�2R(R - V R2 - b2) (4) c = 2%/ in (2R - m) (5) c = 2R sin .M I (6) e = 2T cos 1/2 I (7) e = R exsee M I (8) a= R tan % I tan Y4I (9) e= T tan y I (10) b = -\/a (2R- a) (11)b= �( 2R X 2R )_�cz 4R2 (12)b=RsinI (13)b=aWt 22I c+4m a z 2 z z 2 e+b (14) R - _ c (15) R - d = 2a 2a 21n 8m (16) d =1/R (2R- V (2R+c) (2R -c)= 1/R(2R- 1/4R2-0) 2 (17) d -1/2Rm (18) d 2R sin % I (19) m = 2R l }` 2 (20)m = R��\R+ 2 !\R-2> = R=�R2- 4 (21)In = R vers` qI (22) In =.R sin AI tan yI (23) In =Me tan yI (24) a = 2R (25) a = R-1/(R+b) (R -b) = R -1/R2 -b2 (26) a = 2R (sine % I)2 (27) a = R vers I (28) a = R sin I tan y I (29) a = b tan 3,� I (30) a = T sin I (31) T = R tan 3,� I (32) I = LX57295780 (33) R = i X57.295780 (34) L = IR X0.01745329. (35) L = 8d3 e (36) Area Seg. = LR - R2 Sin I _ LR - Rb 2 2 6 TABLE XI. -CALCULATION OF EARTHWORK HEIGHT Width 1 2 -8 4 5 0 7 8 9 10 11 19 18 14 15 1 .02 -04 .06 .07 .09 .11 .13 .15 .17 .18 .20 .22 .24 .26 .28 2 .04 .07 .11 ..f5 .18 .22 .2d .30 .33 .37 .41 .44 .48 .52 .56 8 .00 .11 .17 -22 .28 -33 .39 :44 .50 .56 .61 .67 .72 .78 .83 4 .07 .15 .22 .30 -37 .44 .52 .59 .67 -74,.81 .89 .96 1.04 1.11 8 .09 :19 .28 .37 .46 .56 .65 .74 .83 .93 1.02 1.11 1.20 1.30 1.39 6 .11 .22 .33 .44 .56 .67 .78 .89 1.00 1.11 1.22 1.33 1.44 1.55 1.67 7 ,13 :26 .39 .52 .65 .78 .91 1.04 1.16 1.30 1.42 1.55 1.68 1.81 1.94 8 ,15 .30 .44 -59 .74 .89 1.04 1.19 1.33 1.48 1.63 1.78 1.92 2.08 2.22 9 .17 .33 .50 .67 .83 1.00 1.17 1.33 1.50 1.67 1.83 2.00 2.17 2.33 2.50 10 .18 .37 .56 .74 .93 1.11 1.30 1.48 1.67 1.85 2.04 2.22 2.41 2.59 2.78 11 .20 .41 .61 .82 1.02 1.22 1.43 1.63 1.8$ 2.04 2.24 2.44 2.65 2.85 3.06 19 .22 .44 .67 .89 1. 11 1.33 1.56 1.78 2.00 2.22 2.44 2.67 2.89 3.11 3.33 IS .24 .48 .72 .96 1.20 1.44 1.68 1.92 2.16 2.41 2.65 2.89 3.13 3.37 3.61 14 .26 .52 .78 1.04 1.30 1.55 1- 81 2.08 2.33 2.59 2.85 3. 11 3.37 3.63 3.89 18 .28 .56 .83 1.11 1.39 1.87 1.94 2.22 2.50 2.78 3.00 3.33 3.61 3.89 4.17 16 .30 .59 .89 1.18 1.48 1.78 2-07 2.37 2.67 2.96 3.26 3.56 3.85 4.15 4.44 17 .31 .63 .94 1.26 1.57 1.89 2.20 2.52 2.83 3.15 3.46 3.78 4.09 4:41 4.72 18.33 .67 1.001 33 1.67 2.00 2.33 2.67 3.00 3.33 3.67 4.00 4.33 4.67 5.00 19. .35..70 1.06 1.41 1.76 2.11 2.46 2.82 3.17 3.52 3.87 4.22 4.57 4.92 5.28 20 .37 .74 1.11 1.48 1.85 2.22 2.59 2.96 3.33 3.70 4.07 4-44 4.81 5.18 5.56 21 -39 .78 1.17 1.55 1.94 2.33 2.72 3.11 3.50 3.89 4.28 4.67 5.06 5.44 5.83 29 .41 .81 1.22 1.63 2.04 2.44 2.85 3.26 3.07 4.07 4.48 4.89 5.30 5.70 6.11 23 .43 .85 1.28 1.70 2.13 2.56 2.98 3.41 3.83 4.26 4.68 5.11 5.54 5.96 6.39 24 .44 .89 1.33 1.78 2.22 2.67 3.11 3.56 4.00 4.44 4.89 5.33 5.78 6.22 6.67 46 -'46 .92 1.39 1.85 2.31 2.78 3.24 3.70 4.17 4.63 5.09 5.56 6.02 6.48 6.94 98 .48 .96 1.44 1.92 2.41 2.89 3.37 3.85 4.33 4.82 5-30 5-.78 8.26 6.74 7.24 97 .50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 8.00 6.50 7.00 7.50 28 .52 1.04 1.55 2.07 2.59 3.11 3.63 4.15 4.67 5.18 5.70 8.22 6.74 7.26 7.78 29 -54 1.07 1.61 2. 15 2.68 3.22 3.76 4.30 4- 83 5.37 5.916. 44 6.98 7.52 8.06 80 .56 1.11 1.67 2.22 2.78 3.33 3.89 4.44 5.00 5.55 6. 11 6.67 7.22 7.78 8.33 81 .57 1.15 1.72 2.30 2.87 3.44 4.02 4.59 5. 17 5.74 6.32 6.89 7.46 8.04 8.61 84 .59 1.18 1.78 2.37 2.96 3.56 4.15 4.74 5.33 5.92 6.52 7.11 7.70 8.30 8.89 88 .61 1.22 1.83 2.44 3.05 3.67 4.28 4.89 5.50 6.11 6.72 7.33 7.94 8.55 9.17 84 .63 1.26 1-89 2.52 3. l5 3.78 4.40 5.04 5.67 6.29 6.93 7.56 8.18 8.81 9.44 85 .65 1.30 L94 2.59 3.24 3.89 4.53 5.18 5.83 6.48 7.13 7.78 8.42 9.08 9.72 86 .67 1.33 2:00 2.67 3.33 4.00 4.66 5.33 6.00 6.67 7.33 8.00 8.67 9.33 10.00 87 .68 1.37 2.06 2.74 3.42 4.11 4.79 5.48 6.17 6.85 7.54 8.22 8.91 9.59 10.28 88 .70 1.41 2.112. 82 3.52 4.22 4.92 5-63 6.33 7.03 7.74 8.44 9. l5 9.85 10.56 89 .72 1.44 2.17 2.89 3.61 4.33 .05 5.78 6.50 7.22 7.95 8.67 9.39 10. 11 10.83 40 .74 1.48 2.22 2.96 3.70 4:44 5.18 5.92 6.67 7.41 8.15 8.89 9.63 10.37 11.11 Table gives cu. yds. in 1 ft. of a triangle of'given width and height. Corrections for tenths of width are one tenth the values found under each height considering the widths from 1 to 9 ae tenths and similarly the corrections for tenths of height are one tenth the figures opposite width considering the heights from I to 9 as tenths. Thus if w=16.2 and h -5.3, cu. yds. =1.48x-.018+.089 =1.587 cu. yds. or practically 160 cu. yds. per 100 ft. If w exceeds 40 ft., use one-half and multiply result by 2, if both w and h are large use one-half of each and multiply result by 4. Any cross-section may be divided into triangles by the following rule. To the triangle of the sum of the outside cuts (or fills) =h, and y§ the roadbed =w, add the triangles formed by taking the distance out to each break in turn ( =w's) by the difference between the cute (or fills) on each side of it ( -b's) always sub- tracting the outer from the inner. •