The following tacheometric observations were 'thade on two points P and Q from station A.Staff at Vertical Angle Staff ReadingUpper Middle LowerP-5°12'1.388 0.978 0.610+27°35'1.604 1.286 0.997The height of the tacheometer at A above the ground was 1.55m. The stadia constant k andc are respectively 100 and 0.0m.Determine the elevations of P and Q if the elevation of A is 75.5 mDetermine the horizontal distance between P and Q if Station A is between the two stations.Show an illustration of your work.« PreviousNext

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Answered: The following tacheometric observations…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question: 1 To determine the elevation of station A, the following observation were taken, the rod held vertically. The instrument fitted with Anallatic lens and value of constant was 100. Inst. Station Height of instrument Staff Station Vertical angle Staff Reading Remarks O 1.440 B.M - 5o40’ 1.332 1.896 2.460 R.L of BM = 158.205 m B 1.440 C.P +8o 20’ 0.780 1.263 1.746 A 1.380 C.P -6o 24’ 1.158 1.617 2.076 subject: Engneering surveyin 1
The following tacheometric observations were amde on two points P and Q from station A. Staff at Vertical Angle Staff Reading Upper Middle Lower P -5°12' 1.388 0.978 0.610 +27°35' 1.604 1.286 0.997 The height of the tacheometer at A above the ground was 1.55m. Determine the elevations of P and Q if the elevation of A is 75.5 m. The stadia constant k and c are respectively 100 and 0.0m. Show an illustration of your work.
A tacheometer was set up at B.M and the following observations were made with a leveling staff held vertically at P and Q. Ins: Station Staff Station Vertical Angle Hair Readings Bearings Remarks B.M P +10° 00’ 1.050, 1.103, 1.156 40° R.L of B.M =1958.500 ft Q -15° 00’ 0.952, 1.055, 1.158 140° The constant of instrument (f/i) = 100, Height of instrument = 5.15 ft Compute: The horizontal distance between P and Q Reduced Levels of P and Q Grade between P and Q
A tacheometer was set up at station P and observations were made to two stations Q and R. The vertical angles to Q and R were 5°30’ and 1°08’ The cross-hair readings at Q were 2.105, 2.47 and 2.835 and those at R were 2.215, 2.56 and 2.905. The staff were held vertical in both cases. The instrument constants were 100 and 0.3. The reading from P to a BM of RL 285.35m was 2.255. The horizontal angle QPR measured was 58°30’. Find the distance QR, the gradient from Q to R and the RLs of Q and R.
STA. B.S. F.S. ELEV. 7.994 388.84 9.154 6.443 5.604 6.403 4 9.374 7.233 12.314 5.723 11.414 4.603 5.093 a. Complete the differential leveling tabulatior b. Find the difference in elevation of staion 7 and station 4. c. Find the height of the instrument of station 3 d. Show the arithmetic check. "
The following tacheometric observations were made from station A to stations 1 and 2. The height of the instrument above the ground was 1.52 m. Take stadia interval factor and constant as 100 and 0, respectively. If the staff was inclined by 1° to the vertical, solve for the following:a. Error in horizontal distance if the staff is inclined towards theinstrument for the line A-1. b. Error in the vertical distance if the staff is inclined away from theinstrument for the line A-2. c. If the elevation of point 1 is 115.673 m, determine the correctelevation of point 2.
Two pegs A and B are driven in the ground at a distance of abour 120 m. A dumpy level is set up at station Q exactly mid-way between pegs A and B. The staff readings on peg A and B were found to be 3.513 m and 3.149 m. The instrument was then moved and set up at a point P beyond peg A, in line BA produced at a distance of 20 m from A. The staff readings on pegs A and B were 1.763 m and 0.847 m respectively. What is the true difference in elevation between the two points? With the level in the same position at P what rod readings on B should the line of sight is adjusted. Check these reading against the true difference in elevation previously SOLVE THE FOLLOWING PROBLEMS: Problem Sketch Solution Answer
A tower is located on a hilltop at T. Angular readings are taken with a theodolitefrom two instrumentation stations A and B, which are 50 m apart. Given the followingdata, determine the R.L. of hilltop at T and the tower height. Height of instrument (R.L.of instrumental centre) = 10 m. Vertical angles from A to the top and bottom of thetower at T is 35° and 28°(upward) respectively. Whole circle bearing of line AT, ABand BTis 25°, 110°, 5° respectively.
Problem 2. The following tacheometric observations were made on two points P and Q from station A. Rod at P Q Vertical Angle -5°12' +27°35' Table 2.1 Upper 1.388 1.604 Rod Reading Middle 0.978 1.286 Lower 0.610 0.997 The height of the tacheometer at A above the ground was 1.55m. Determine the elevations of P and Q if the elevation of A is 75.500m. The stadia constant k and c are respectively 100 and 0.00m.
Q.2 Reciprocal leveling was conducted across a wide river to determine the difference in level of points A and B, A situated on one bank of the river and B situated on the other .The following results on the staff held vertically at A and B from level station 1 and 2, respectively were obtain . The level station 1 was near to A and station 2 was near to B. Instrument at Staff reading on A Staff reading on B 1 1.471 1.725 2 1.131 1.371 (1) If the reduce level of B is 91.18 m above the datum, what is the reduced level of A? (2) Assuming that the atmospheric conditions remain unchanged during the two sets of the observation, calculate (i) the combined curvature and refraction correction if the distance AB is 315 m, (ii) the collimation error?
Two pegs A and B are driven in the ground at a distance of abour 120 m. A dumpy level is set up at station Q exactly mid-way between pegs A and B. The staff readings on peg A and B were found to be 3.513 m and 3.149 m. The instrument was then moved and set up at a point P beyond peg A, in line BA produced at a distance of 20 m from A. The staff readings on pegs A and B were 1.763 m and 0.847 m respectively. What is the true difference in elevation between the two points? With the level in the same position at P what rod readings on B should the line of sight is adjusted. Check these reading against the true difference in elevation previously determined. a. Sketch b. Solution C. Answer
3 A tacheometer was set up at B.M and the following observations were made with a 2 10 leveling staff held vertically at A and B. Instr. Staff Vertical Hair Readings Bearings Remarks Station Station Angle В.М A +10° 00' 1.060, 1.105, 1.176 40° R.L of В.М -15° 00' 0.962, 1.075, 1.188 140° =Reg#. (ft) The constant of instrument (f/i) = 100, Height of instrument = 5.15 ft, Reg# 334 Compute: a) The horizontal distance between A and B b) Reduced Levels of A and B c) Grade between A and B

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