测量计算Measuretocalculate

1、测量计算( Measure to calculate )Serial number: 561Topic: calculationChapter 5-4Title: the longitude and theodolite measurements are measured at a certain Angle. The observed values are listed in the following table, and the median error of the observed value and the mean error of the arithmetic mean are

2、 presented.The measured value of the observation sequence is V VV1 36 50 302 36 50 263 36 50 , 28. 4 36 50 245 36 50 256 to 36 50 23Answer: m = + 2 . 6, mx = + 1 . 1Key words: measurement Angle errorThe difficulty:Scoring criteria: V, VV 1, L, m, mx each 2 pointsSerial number: 562Topic: calculationC

3、hapter 5-4The length of the axis of a dam is 234.5mm, with the error m as plus or minus 0.1 mm, and the actual length of the axis of the dam and the error MD in the middle error.The answer: MD= plus or minus 0.1 m, D = 234.5m, plus or minus 0.1 mThe appended drawings: noKey words: graphic length err

4、orThe difficulty:Score: 8 pointsSerial number: 563Topic: calculationChapter 5-4Title: on 1:500 topographic map measurement error in the measurement of a certain distance between two points S for +/ - 0.2 mm, if the conversion for horizontal distance S on thefield, because of the amount on the drawin

5、g from the conversion of horizontal distance due to the error?Answer: ms = plus or minus Mms = plus or minus 500 times 0.2= plus or minus 0.1 mThe appended drawings: noKey words: graphical distance errorThe difficulty:Score: 8 pointsSerial number: 564Topic: calculationChapter 5-4Title: the four side

6、s of the quadrilateral are measured by the steel ruler, whose side length is L1, L2, L3 and L4 respectively.The median error of each side measurement is m1= plus or minus 3mm, m2 = plus or minus 5mm, m3 = plus or minus 1mm, m4 = plus or minus 7mm, and try to find the middle error MP for the perimete

7、r of quadrilateral.Answer: mp = + 9 mmThe appended drawings: noKey words: quadrangle circumference errorThe difficulty:Score: 8 pointsSerial number: 565Topic: calculationChapter 5-4Title: alpha and beta are observed in a triangle, and gamma Angle is calculated from the calculation. If m alpha is equ

8、al to plus or minus 5, m beta = plus or minus 5, try m gamma.Answer: m gamma = + 7The appended drawings: noKey words: error in functionLow difficulty:Score: 8 pointsSerial number: 566Topic: calculationChapter 5-4Under the same conditions, a DJ6 theodolite was set up to observe the four measurements

9、in a single Angle, and the observed value x1 = x2 = x3 = x4 = + 12.5, and the mean value of the observation Angle was mx.Answer: mx = + 6 . 25The appended drawings: noKey words: measurement Angle errorLow difficulty:Score: 8 pointsSerial number: 567Topic: calculationChapter 5-4So we have a function

10、Y is equal to x1, right? X2? The x3?Xn, x1, x2, x3. Xn is the independent observation value, and its corresponding error is M1, M2, M3,. Mn, he asked for My.The answer is: y = = x1. X2. X3. Xn take logarithmLny = lnx1 + lnx2 + lnx3. + LNXNThe appended drawings: noKey words: error in functionDifficul

11、ty: highScoring criteria: 1.5 points for the first 4 steps and 2 points for mySerial number: 568Topic: calculationChapter 5 -Title: the radius of a garden is 31.3 mm,and the error is plus or minus 0.3mm, and its circumference and its middle error, its area and its error?Answer: C = 2 PI R MC= plus o

12、r minus 6.28 x 0.3 = plus or minus 1.9 mm/. C = 196.66 + /- 1.9 mmS = PI R2 = 3.14 * 31.32 = 3076.2Ms = 196.56 * 0.3 = 0.3 material 59 S = 3076.2 + /- 59 (mm) 2The appended drawings: noKey words: perimeter and area errorThe difficulty:Criteria: C, S, 1 and ms MC 3Serial number: 569Topic: calculation

13、Chapter: 6-2Title: the following table lists the coordinate increment of A certain wire and its starting point A and point B, and the coordinates of 1, 2 and 2 points.Coordinate increment of point coordinatesA - 74.47 + 287.86 500.00 500.001+ 57.26 + 178.89227.42 + 89.31 455.37 1056.06Answer: delta

14、x, delta x, delta y, x, yA - 74.47 + 287.86 500.00 500.001 + 57.26 + 178.89 425.53 787.862-27.42 + 89.31 482.79 966.75455.37 1056.06 BFx = 0.14 fy - 0.12 f = 0.184 K = = 1/3137Key words: attached conductorThe difficulty:Standard: delta X, delta Y, fx, fy, f, K, X, Y eachSerial number: 570Topic: calc

15、ulationChapter: 6-2Title: calculate the coordinate azimuth of the wire side B1, 12, and 2C according to the following data.卜Tcorrection Angle coordinate|1 (right corner) number of| 卜| A 45 00 00|IHHH1B 120 30 00IHH+ -| 1 212 15 30|1I - - H H - - H -| 145 10, 00|1I - - H H - - H -| C 170 18 30|1116|

16、- - H H - - H -44 48| HThe sum |1IHLL1| meter |Calculate |IILIAnswer: correction number 18Correction Angle: 18 120 30 120 15 48 145 10 18170 18 48Azimuth Angle: 104 29 13 72 42 54 107 03 36Keywords: azimuth calculationLow difficulty:Score: 1 point correction, 4 points correction, 3 quartersKey words

17、: attached conductor coordinate calculationThe difficulty:Criteria: fx, fy, f, K, 1.5 points, X1, Y1 eachSerial number: 571Topic: calculationChapter: 6-3Topic: according to the observation data, draw the calculated1-3-2, 2, 6-1 the edge of the azimuth, (horizontal Angle is outside the industry) alph

18、a A1 = 110 46 32 beta, 0 = 160 44 50, the Angle closure value f beta done = + 40 square root of nAnswer: alpha 12 = 91 31 22 alpha 61 = 61 24 12 alpha 23 = 94 36 01The appended drawings:Key words: conductor coordinatesThe difficulty:Criteria: alpha 12, alpha 61, alpha 21, 2.5 points, a perfectscore

19、of 8Serial number: 572Topic: calculationChapter: 6-4Title: according to the data in the graph, the coordinates of the triangular locus of the baseline are calculated according to the table formula (the Angle value in the graph is the Angle value after two adjustment).X1 = 1000.000, Y1 = 1000.000, al

20、pha 12104 21 55 ,D12 = 211.646 D13 = 279.339, perhaps a = 266.105.IniniiI calculation known point 1|I IHHL1I order and point 2|IIIIi1alpha (1) obeta (2) I卜T(3) alpha 12IH1(13) average I XIH1I X2 (11) I IIH1I (9) the X1 II (7) delta X12 IIH1I (5) cosine alpha 12I (4) speed 12 II (6) sine alpha 12卜TIb

21、eta (2) 54 15 70 30 4663I | (10) y1 |I+ 1| (12) y2 | y (14) averageIIiThe answer:厂丁1 1 1Calculation| 1 2 1 known points1+ i1| order point 2 3| to stay1H11Known | alpha (1) 104 21 to 55 104 21 55, 284 21 55IHHH+1| alpha o 104, 21 55 40 27 40 41| 354 52IHHH+1| (13)| X | 1212.533 947.490 on averageIHHH

22、+1| (11)| X | 1212.533 1212.533 947.490IHHH+1| X (9) known | 947.490 1000.000 1000.000Known | (7) delta X - 52.510| 265.042 2121.534IHHH+10.248103(5) cosine alpha 0.760847 0.996007211.646 S (4), 279.(6) sine alpha0.648932 0.648932 0.968734T(8) delta Y181.272 181.272 205.029Y (10) known705.029 500.00

23、0 500.000I+ -1(12) Y o681.272 681.272 705.029gamma (14)681.272 705.029 on averageLIKey words: triangular coordinatesDifficulty: highGrading criteria: 4 points in azimuth and 4 points in coordinatesSerial number: 573The calculation section: 6-4Topic: a triangle lock after adjustment of the Angle of v

24、alue, as shown in the figure known, alpha AB = 30 30 , strivesfor the azimuth Angle alpha CE and alpha ED.Answer: alpha CE = 95 51 02 , alpha ED = 320 51 12The appended drawings:Key words: triangular locking azimuthThe difficulty:Criteria: alpha CE, alpha ED, 4 pointsSerial number: 574Topic: calcula

25、tion7-8 chapters:Topic: a top of the mountain known about 15 meters high tower, tower in the distance the whole 100 meters mountain resettlement theodolite, measured the vertical Angle of the tower for + 30 , instrument is 1.5 meters high, the elevation difference of station to the top of the mounta

26、in.Answer: h = 44.235The appended drawings: noKeywords: triangular elevationThe difficulty:Score: 8 pointsSerial number: 575Topic: calculationChapter 5-7Topic: as shown in figure, the elevation of the three levels were 20.145 meters, 24.030 meters and 19.898 meters, measured, hAE = + 1.538 meters, h

27、BE = 2.330 meters, hCE= + 1.782 meters, three level line 2.5 km length of L1 = L2 = 4 kilometers, L3 = 2 kilometers, E elevation and computing nodes in error.HE = 21.6854 metersMu = + / - 5.92 mmMHE = + / - 5.5 mmKey words: weighted average and medium errorDifficulty: highScoring criteria: HE, mu, M

28、HEeach 2.5 points, a perfect score of 8Serial number: 580Topic: calculation7-5 chapters:Subject: try to fill in the following table with four levelsof observation data as shown in the figure below, calculate the columns and find the elevation of point B (in parentheses, the silk reading in the red g

29、auge). HA = 418.000Answer: HB = 418.352Key words: level 4The difficulty:Criteria for grading: distance, height, K + black minus red,2 points in high differenceSerial number: 576Topic: calculation7-8 chapters:Topic: as shown, with theodolite observation target verticalAngle 45 00 00 alpha =, horizont

30、al distancebetween theknown ABDAB = 27.18 m, the instrument is high a = 1.43 m, the target is high b = 25.34 m,Try to find the difference between a and b.The answer: hAB = Dtg alpha + a-b = 27.18 + 1.43-25.34 = 3.27 mThe appended drawings: noKeywords: triangular elevationThe difficulty:Score: 8 poin

31、tsSerial number: 577Topic: calculationChapter: 8-2Title: the measurement of the tachymetric observation data sheet.Answer: the point of observation is 417.858 420.376Key words: distance measurementThe difficulty:Criteria: 4 points per two pointsSerial number: 578Topic: calculationChapter: 8-2Topic:

32、instrument at point P, known HP= 49.34 m, the range pole on the observation point Q, cross wire in wire cutting instrument on feet high (I = l), read range interval n = 1.03 m, alpha = 19 48 , the instrument used K = 100, Q= 0, strives for the PQ horizontal distance and elevation of HQ.Answer: the D

33、PQ = 91.18 mHQ = 16.513 mThe appended drawings: noKey words: horizonThe difficulty:Score standard: DPQ, HQ 4 pointsSerial number: 579Topic: calculationChapter 8 -Topic: the picture is the contour interval of 1 m the latter scale topographic map, the distance between two points A and B in the figure

34、is 3.5 cm, the ground of the calculate ABgrade, according to the slope to calculate the horizontal distance of two adjacent contours.The answer: iAB = -3.5 / (0.035 x 1000) = -10% flat distanceDAB = 10 mKeywords: ground slopeThe difficulty:Criteria: 4 pointsSerial number: 580Topic: calculation10-4 c

35、hapters:Topic: the curves for two straight lines with the garden below connection design road map, distance and direction of the AB is 700.0 m, 80 , the distance and direction of the CDis 1000.0 m, 110 , respectively, also known as the radius of the curve BC is 500.0 m, is the route of the long poin

36、t A to point D is how many meters?Answer: L = 261.8 m A - D is 1461.8 metersThe appended drawings:Key words: garden curve lengthThe difficulty:Criteria: L, A - D, 4 pointsSerial number: 581Topic: calculation10-2 sections:Topic: known the coordinates of two control points A, B, AB and azimuth Angle a

37、nd the coordinates of point P, the coordinates of the data listed in the table below, try to calculate with the point of intersectionmethod of layout point P lofting data,and draw the lofting sketch.III I point coord in ates II11 sat the azimuthI I X (m) (m) I I YIHHH810.19 2109.69 A IT alpha AB = 2

38、3041 12 515.75 1868.58 BIHHI I | 636.97 1787.47 PiiiThe answer:Alpha BP = 123 47 13Alpha AP = 208 15 42Beta 1 = 22 25 30Beta 2 = 73 06 01Key words: construction loftingDifficulty: highCriteria: alpha AP, alpha BP, beta 1, beta 2 eachSerial number: 582Topic: calculation10-3 chapters:The elevation HB

39、= 25.062 meters at the standard point B, the elevation HA= 25.000 m, the height HA= 25.000 m, the instrument is between AB two, and the reading of B ruler is 1.445. What should be the back reading of A pile?Answer: a = 1.507The appended drawings: noKey words: elevation measurementLow difficulty:Scor

40、e: 8 pointsSerial number: 583Topic: calculation10-2 sections:Topic: as the chart shows, the knownABedge coordinates azimuth alpha AB = 120 04 , point B coordinates XB = 327.50 meters, YB =430.73 m, 1 point coordinate X1 = 348.85 m, Y1 = 452.08 m, try to find the lofting data set by the polar coordin

41、ate method.Answer: alpha B1 = 4500DB1 = 30.193 mB = 104 56 The appended drawings:Key words: point loftingDifficulty: highCriteria: alpha B1, DB1, Angle B, 2.5 pointsSerial number: 584Topic: calculation10-3 chapters:Topic: as the chart shows, known in the line of sight = 242.144 meters height Hi leve

42、ling, request the design elevation of241.200 meters pile test in point B, q point B level ruler (front) reading, how much is the bottom of the feet is 241.200 meters height? What is the elevation of point A? (after alpha = 1.324 m)Answer: HA = 240.820 m b = 0.944 mThe appended drawings: noKey words:

43、 elevation loftingLow difficulty:Criteria: HA, b, 4 pointsSerial number: 595Topic: calculation10-2 sections:Topic: as the chart shows, known to lead the coordinates of the point E, F XE = 189.00 m, YE = 102.00 meters, the XF = 185.165 m, YF = 126.702 m, the coordinates of the corner X1 = 200.000 m,

44、Y1 = 100.000 m, X2 = 200.000 m, Y2 = 124.000 m, try by lofting data beta 1, beta 2, D1, D2.Answer: alpha EF = 98 49 29Alpha E1 = 349 41 42Alpha F2 = 349 40 39Beta 1 = 109 07 47 beta 2 = 70 51 10D1 = 11.180 mD2 = 15.079 mThe appended drawings:Key words: point loftingDifficulty: highScoring criteria:

45、beta 1, beta 2, D1, D2, 2 pointsSerial number: 586Topic: calculation11-3 chapters:HBMA= 415.657,Title: as shownin the elevation of the deep pit, a = 1.708, b = 12.845, c = 1.545, d = 2.101. O HBMB.Answer: HBMB = 403.964 mThe appended drawings:Key words: elevation transmissionDifficulty: highScore: 8

46、 pointsSerial number: 587Topic: calculationChapter 5-4Title: from the level of BM1, the level of BM1 is measured andthe height difference is:H1 = + 3.852 m plus or minus 5mm, h2 = + 6.305 m plus or minus 3mm, h3 = + 9.832 m plus or minus 4mm, the height difference between BM1 and BM2 and the error o

47、f the middle error.The answer: h = h1 + h2 + h3 = 19.989 mMh = plus or minus m12 + m22 + m32 = plus or minus 7.1 mmThe appended drawings: noKey words: medium errorThe difficulty:Criteria: h 2, mh6Serial number: 588Topic: calculation11-3 chapters:Title: the elevation of the elevation diagram to the h

48、eight of the building is known: HBMA = 501.425, a = 1.764, b = 0.575, c = 8.423, and d = 0.478, the elevation of b points.Answer: HB = HBMA + a-b + c-d = 510.559The appended drawings:Key words: elevation transmissionDifficulty: highScore: 8 pointsSerial number: 589Topic: calculation11-4 chapters:Top

49、ic: P mileage pile number of 0 + 380.89, alpha = 23 20, selected R = 200 meters, try to ask the Lord to point range.The answer: T = 41.30m L = 81.45 m = 4.22 mB: 0 + 339.59E point: 0 + 421.04M point: 0 + 380.32The appended drawings:Key words: garden curve, three main pointsThe difficulty:The scoring

50、 criteria: T, L, E get 4 points, B, E, M miles 4Serial number: 590Topic: calculation11-4 chapters:Topic: the known elements on the turning point of the pile number and curve, fill out a form to calculate SanZhupoint pile number and all detail points, turning Angle alpha = 18 20 , curve radius R = 10

51、0 m, the turning point, pile number is 1 + 268.480, two adjacent detail points on the curve arc length l = 10 meters.The appended drawings:(1) calculate the pile number of the garden curve element and the three main pointsIIIIIcutt ing line len gth nu mber zero| 16.137 curveIH131.998 curvecurved lin

52、e len gth nu mber endTcurvemidpoint pileOutside vector distance 1.294nu mberiiiithe detail point(2) calculate the pile number and deviation of of the deflection methodpile point numberIdetail point numberslant Anglenumber zeroI# 1 point of pileIThe pil e numberpoint 2point 3 pile nu mberIHend pile n

53、u mber|iiThe answer:(1) starti ng poi nt | 1 + 252.343The fin ish1 + 284.341Midpoi nt 1 + 268.342丄(2) deviation Angle of the point pile00 0 00Starting p oint: 1 + 252.3432 points: 1 + 270.000 5 03 30At 3 o clock: 1 + 280.000 7 55 23The end: 1 + 284.341 9 10 00Key words: Angle methodDifficulty: highScoring criteria: 4 points, 4 points, and 4 pointsSerial number: 591Topic: calculationChapter 5-2Topic: in triangle ABC, the Angle A and B are directly observed, with the error mA = plus or mi