A reciprocal leveling is observed across a wide river and the reciprocal level readings were taken between points A and B as follows. With instrument set up near A, the rod readings on A are 2.283 m and 2.285 m. The reciprocal level readings on the opposite side of the river at point B are 3.618, 3.619, 3.621 and 3.622 m. With the instrument set up near B the rod readings on B are 4.478 m and 4.476 m, and the rod readings on the on the opposite side of the river at point A, the rod readings are 3.143, 3.140, 3.146 and 3.144. a) Compute the difference in elevation between A and B with the instrument set up near A. b) What is the true difference in elevation between A and B? c) If the elevation A is 300 m, what is the elevation of B?

A reciprocal leveling is observed across a wide river and the reciprocal level readings were taken between points A and B as follows. With instrument set up near A, the rod readings on A are 2.283 m and 2.285 m. The reciprocal level readings on the opposite side of the river at point B are 3.618, 3.619, 3.621 and 3.622 m. With the instrument set up near B the rod readings on B are 4.478 m and 4.476 m, and the rod readings on the on the opposite side of the river at point A, the rod readings are 3.143, 3.140, 3.146 and 3.144. a) Compute the difference in elevation between A and B with the instrument set up near A. b) What is the true difference in elevation between A and B? c) If the elevation A is 300 m, what is the elevation of B?

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

Errors in surveying

An error in surveying is defined as the difference between two or more values of an identical quantity. However, the estimates are never accurate and there will always be a degree of variability regardless of the research tool or method used. These differences are known as errors that need to be reduced or eliminated to maintain certain levels of accuracy. Even if you carefully follow the prescribed test procedures, the considerations may contain errors.

Question

A reciprocal leveling is observed across a wide river and the reciprocal level readings were taken
between points A and B as follows. With instrument set up near A, the rod readings on A are
2.283 m and 2.285 m. The reciprocal level readings on the opposite side of the river at point B are
3.618, 3.619, 3.621 and 3.622 m. With the instrument set up near B the rod readings on B are
4.478 m and 4.476 m, and the rod readings on the on the opposite side of the river at point A, the
rod readings are 3.143, 3.140, 3.146 and 3.144.
a) Compute the difference in elevation between A and B with the instrument set up near A.
b) What is the true difference in elevation between A and B?
c) If the elevation A is 300 m, what is the elevation of B?

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2. A reciprocal leveling is observed across a wide river and the reciprocal level readings were taken between points A and B as follows. With instrument set up near A, the rod readings on A are 3.383 m and 3.395 m. The reciprocal level readings on the opposite side of the river at point B are 4.628, 4.619, 4.622 and 4.625 m. With the instrument set up near B the rod readings on B are 5.578 m and 5.576 m, and the rod readings on the on the opposite side of the river at point A, the rod readings are 4.243, 4.248, 4.186 and 4.194. a) Compute the difference in elevation between A and B with the instrument set up near A. b) What is the true difference in elevation between A and B? c) If the elevation A is 255 m, what is the elevation of B?
What is required is to find all the missing values in the table below for one of the successive settlement operations, then find the value of the shutdown error if you know that the level of station No. 10 is equal to 220.800m?
Reciprocal levelling is done to test a dumpy level, along a chain line, at a common interval of 15m, starting at 135 m. The following records have been observed with the instrument shifts at distances of 180 m and 240 m: 3.400, 2.315, 1.350, 0.755, 3.305, 2.880, 1.745, 1.470, 1.910, 1.355, 2.450 and 3.035 m Calculate the reduced levels at all the points and check for mathematical errors, assuming RL = 97.935 m is the bench mark reading at the first station. Use both a) the rise and fall method, and b) the height of collimation method.
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In the two-peg test of a dumpy level, the following observations are taken: with level setup at M (midway between A and B), the rod readings on A and B are 1.155 m and 1.770 m, respectively. With level at P, the rod reading on A is 2.423 m and that on B is 2.999 m. If point P is located 1.67 m from A along the extension of line AB and 76.910 m from B, the correct rod reading (d') on the far rod for a horizontal line of sight (with the level still setup at P) should be Select the correct response: • 3.039 m • 2.424 m •2.959 m · 2.422 m • 2.999 m