Question
Download Solution PDFWhich of the following is correct expression to find the hypotenusal allowance used to compute horizontal distance on a sloping ground?, where θ = Angle of sloped ground
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Different methods for chaining on sloping ground are as follows:
1. Hypotenusal allowance method:
- Let θ = the angle of slope of the ground and AD = AB = L
- Then AC = L sec θ links and BC = AC – AB = L (Sec θ - 1)
- The amount L (sec θ – 1) is known as hypotenusal allowance.
- The chain is stretched in the direction AB and the arrow is placed in advance of the end B of the chain by an amount equal to (BC), the hypotenusal allowance, such that the horizontal equivalent of the total distance i.e. (chain length + hypotenusal allowance) is equal to one chain length.
- The next chain length starts from C and the process is continued until the end of the line is reached. The required horizontal distance is equal to the number of chains measured.
2. Stepping method:
- This method is a direct method of chaining which consists of measuring the line in short horizontal lengths called steps.
- The horizontal distances are directly measured by the process of stepping.
- Distance from B to A = bR + rQ + qP + pA
Last updated on May 28, 2025
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