Problem 2 An angle is observed repeatedly using the same equipment and procedure, and the results in degrees-minutes-seconds are listed in # 1-5. Based on the given, calculate the following: (a) compute the lines most probable angle, (b) its relative precision if the probability of error is 90%. 1. 162°20'00", 162°21'20", 162°21'40", 162°20'40", 162°19'40", 162°21'25", & 162°22'10" 2. Same as # 1 but discard observation 162°20'00" 3. Same as # 1 but discard observations 162°21'20" and 162°21'40" 4. Same as # 1 but include two additional observations 162°21'25" and 162°22'10" 5. Same as # 1 but include three additional observations 162°21'40", 162°20'40" and 162°19'40",

Problem 2 An angle is observed repeatedly using the same equipment and procedure, and the results in degrees-minutes-seconds are listed in # 1-5. Based on the given, calculate the following: (a) compute the lines most probable angle, (b) its relative precision if the probability of error is 90%. 1. 162°20'00", 162°21'20", 162°21'40", 162°20'40", 162°19'40", 162°21'25", & 162°22'10" 2. Same as # 1 but discard observation 162°20'00" 3. Same as # 1 but discard observations 162°21'20" and 162°21'40" 4. Same as # 1 but include two additional observations 162°21'25" and 162°22'10" 5. Same as # 1 but include three additional observations 162°21'40", 162°20'40" and 162°19'40",

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed in Problem 3.6 Calculate(a) the line’s most probable length,(b) the standard deviation, and(c) the standard deviation of the mean for each set of results. 3.6) 65.401, 65.400, 65.402, 65.396, 65.406, 65.401, 65.396, 65.401, 65.405, and 65.404
In order to obtain the stadia interval factor of a certain instrument, the stadia rod was held vertically at marked distances of every 25.0m. The stadia interval at each location was observed as follows: 0.251, 0.500, 0.753, and 1.237, respectively. The instrument was then setup over station A, and the corresponding hair readings on a rod held vertically at station B were 1.050, 1.900 and 2.750 with the line of sight horizontal. Calculate the horizontal distance AB.
Given the following data in measuring a distance of a certain line. DISTANCE NO. OF MEASUREMENTS 740.53 4 740.59 3 740.57 6 740.53 7 Calculate the probable error of any single observation. A.±0.0247 C. ±0.0167 B. ±0.0055 D. ±0.0037 ps. with step-by-step solution, please.
5) It is desired to determine the height of point B using point A whose height is 650.24 m. By installing Nivo (level) between A and B points, a reading is made as 564 mm on the Mira that is located in point A. Then the Nivo's binoculars were rotated and a forward reading of 3245 mm was made on the Mira held on point B. Based on this knowledge, what is the height of point B?
3. An angle a is observed using various types of theodolites and observing techniques. The results of these observations and their variances are iT = [121° 32' 14", 121° 33' 9", 121° 32' 46", 121° 32' 50"], C = diagonal [12, 10, 5, 15] (units = arcseconds squared). What is the weighted mean value of the angles? What is the standard deviation of the weighted mean?
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"
Q#15: The following is the data relative to observed stations made on vertically held staff with a tacheometer fitted with an anallactic lens. The constant of instrument was 100. Instrumen Height of axis Staff Stn. W.C.B Vertical Hair Readings Remarks t Stn Angle 2.56 A 12°25' 0°0' 2.88, 3.25, R.L of O = 3.62 230.25 B 60°45' +15°10' 2.83, 3.15, 3.47 Calculate the distance AB, and reduced levels of A and B. O Activate Windows
Q1). The following consecutive readings were taken along a straight line from station (1090) to station (12+015). The instrument has been changed after third, fifth, eighth and welfth readings. The readings a 3 are as bellows: 0.680, 1.455, 1.855, 2.330, 2.885, 3.380, 1.055, 1.680, 2.265, 3.540, 0.835, 0.945, (1.530 and 2.250, first and last point are a bench marks having elevations 50.25m and 50.81 m respectively. 44.8 Draw page of level book and enter the above data. Find elevation of points by height of instrument method. Check your calculation. Determine the gradient of the line joining the first and last point. Determine loop closure and adjust calculated elevations. -5.408
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 following data was recorded as observed for points B & C.(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?
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.
A transit with a stadia interval factor of 98.99 was set at C on the line between points A and B, the following stadia readings were observed. (draw the Instrument set up) Rod Position Vertical Angle Stadia Hair Readings (m) Upper (a) Middle (c) Lower (b) Rod Held at A + 60 27’ 3.678 2.491 1.287 Rod Held at B - 40 31’ 2.154 1.618 1.082 If the stadia constant is 0.29 m determine the following: Length of line AB (horizontal). ANSWER: ____________________ If the elevation at B is 782m what is the elevation at A. ANSWER: ___________________
4. An angle was measured six times, the observed values being 49°23'00", 49°23'20", 49°22'40", 49°22'20",49°23'40". and 49°24'00". Calculate the most probable value of the angle and the standard deviation (error) of the measurement.