Answered: A horizontal angle is measured five…

A horizontal angle is measured five times 156°45'34" 156°45'38" 156°40'34" 156°45'29" 156°45'32" Find the probable error for single observation and the probable error of the mean.

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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Concept explainers

Methods of Surveying

Surveying is the practice to determine the relative three-dimensional positions of various points on the earth’s surface. This is done by computing the vertical and horizontal distances, angles between the points, collecting the observations, and plotting them on a map of any appropriate scale. Accuracy can be achieved by using the latest instruments like a theodolite, tachometer, etc. Leveling is a subdivision of surveying where the objective is to locate the elevation of objects considering a datum level.

Question

A horizontal angle is measured five times
156°45'34"
156°45'38"
156°40'34"
156°45'29"
156°45'32"
Find the probable error for single observation and the probable error of the mean.

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Problem 1 Based on the following survey data an angle is measured repeatedly using the same equipment and procedure. If the probability of error is 50%, determine (a) the most probable angle and (b) its relative precision; Trials Measurements 1234567 2 4 5 7 162°20'00" 162°21'20" 162°21'40" 162°20'40" 162°19'40" 162°21'25" 162°22'10"
2. The following interior angles of a triangle were measured with the same precision LCD of the No.of Measurements Hint: Weight = %3D No.of measurement of that angle Weight of that angle Angle Error = Total Weight Angle Value No. of measurements A 41° 5 В 77° 6. C 63° Determine the most probable value of angle A b. Determine the most probable value of angle B Determine the most probable value of angle C а. C.
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The vertical angle to the top of the New CSU Library Building ('point B') is observed by a BSGE student at point A near the Harrison Bridge as 35.1437 degrees, with standard deviation of =4'. The slope distance from A to B is observed as 42.63 + 0.34 m. Compute the horizontal distance and its standard deviation if a transit and tape was used in the observations.
1. A tachometric surveying was performed by a surveyor. The transit used has a stadia interval factor of 90.98 and stadia constant of 0.16m the instrument was set at station O on the line between station C and E. The following stadia readings were taken Position of staff Vertical angle 7-18°37'02" 6°15'58" Station C Station E upper 1.432m 2.825m Stadia hair reading center 1.195m 2.049m Determine the horizontal and vertical distance between C and E lower 0.957m 1.274m
Given are the interior angles of a heptagon. Determine the discrepancy for the given observation and the most probable value of each angle. A B C D E F G 128°34'17" 112°49'02” 83°12'38" 132°11'44" 128°26'19" 194°45'09" 120°0'44"
1) 2 points B & C were observed from point A where the instrument was set up at a height of 1.25m. Points B & C are ahead of point A. The surveyor used an internally focusing telescope with a stadia interval factor of 100. The table below shows the data recorded as observed for points B & C. Answer the following. (Show complete figures and solutions) a) What is the stadia constant of the instrument? b) What is the slope distance between the telescope at point A and the rod reading at point B? c) What is the difference in elevation between point B & C? d) What is the slope distance between the ground surface at point B and the ground surface at C? e) What is the elevation of point C if point A is at an elevation of +0316.15m above mean sea level? - 1 attachment Vertical Stadia Hair Readings ROD/Point Angle Upper Middle Lower В -25°15' 2.316 1.877 1.438 -45°57' 3.333 2.011 0.689
An elevation must be established on a benchmark on an island that is 2536.98 ft from the nearest benchmark on the island’s shore. The surveyor decides to use a total station that has a stated distance measuring accuracy of (3 mm +3 ppm) and a vertical compensator accurate to within 0.4”. The height of instrument was 5.37 ft with an estimated error of 0.05 ft. The prism height was 6.00 ft with an estimated error of 0.02 ft. The single zenith angle is read as The estimated errors in instrument and target centering are 0.003 ft. If the elevation of the occupied benchmark is 632.27 ft, what is the corrected benchmark elevation on the island? (Assume that the instrument does not correct for Earth curvature and refraction.) What is the estimated error in the computed benchmark elevation if the instrument has a DIN 18723 stated accuracy of +-3"?
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surveying errors and mistakes