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 respectively. 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.

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 respectively. 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.

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

Instruments for Surveying

Surveying is the practice that determines the relative three-dimensional positions of many different points on the earth’s surface. There are various instruments used in Surveying like Theodolites, Total station, Tripod stands, Plane table, etc. for measuring horizontal angle, vertical and sloping angle, which are very useful for giving accurate and precise measurement.

Question

1. 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 respectively. 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.

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