1. The three angles of a triangle were measured with the following results: A = 42°05',B = 115°38', and C = 22°08'. Determine the most probable value of each angle.2. The angles about a point have the following observed values: 87°07'50",125°17'20", and 147°35'20". Determine the most probable value of the three angles.3. The interior angles of a quadrilateral were observed to be: A = 100°35'40", B =118°44'15", C = 80°54'35", and D = 59°45'50". Determine the most probable valueof each of these angles.4. A quantity was measured ten times with the following results: 34.630, 34.626,34.364, 34.628, 34.629, 34.626, 34.627, 34.633, 34.625, and 34.624 meters.Determine the probable error of the mean and the relative precision of the mean.5. A surveying instructor sent all the 40 students in his class out to measure a distancebetween two points marked on a runway. The students working in groups of fourcame up with 10 different measurements as follows: 920.45, 921.05, 921.65, 920.25,920.15, 921.85, 921.95, 920.45, 921.15, and 921.35 meters. Assuming these valuesare equally reliable and that variations result only from accidental errors, determinethe relative precision of single measurement and the relative precision of the mean.6. The following values were determined in a series of rod readings made underidentical conditions: 3.312, 3.307, 3.304, 3.306, 3.309, 3.301, 3.311, 3.308, 3.312,3.306, and 3.313 meters. Determine the following: most probable value of theobserved rod readings, probable error of a single measurement and of the mean,and the relative precision of a single measurement and of the mean.

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The three angles of a triangle were measured with the following results: A = 42°05', B = 115°38', and C = 22°08'. Determine the most probable value of each angle. %3D

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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