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Leveling

Concept Concept Concept Concept Concept Concept Concept Concept Concept
Stadia Interval Factor (f/i):
$$ID=\frac{f}{i}s+(f+c)$$

f=focal length
C=f+c=stadia constant
i=distance between stadia hairs

Problem 1:

The upper and lower stadia hair readings on a stadia rod held at station B were observed as 3.50m and 1.00m, respectively, with the use of a transit with an internal focusing telescope. The stadia interval factor is 99.50. The height of the instrument above station A is 1.45m and the rod reading is taken at 2.25m. If the vertical angle observed is -23°34', determine the:
a. Horizontal distance from the instrument to the station sighted
b. Vertical distance from the instrument to the station sighted
c. Inclined distance from the instrument to the station sighted
d. Difference in elevation between stations A and B
e. Elvation of station B if the elevation of station A is 155.54m amsl.

Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram

a. 208.99m
b. 91.16m
c. 228m
d. 91.96m
e. 63.58m

Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 1: – Diagram

Problem 2:

A transit with a stadia constant equal to 0.30 is used to determine the horizontal distance between points B and C, with a stadia intercept reading of 1.85m. The distance BC is equal to 182.87m.
a. Compute the stadia interval factor of the instrument.
b. Using the same instrument, the difference in elevation between B and D is to be determined. The stadia intercept reading is 2.42m at D at a vertical angle of 6°30'. The height of the instrument is 1.50, and the rod reading at D is 2.36m. Compute the difference in elevation of B and D.

Differential Leveling | Fundamentals of Surveying – Problem 2: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 2: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 2: – Diagram

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Problem 3:

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Problem 4:

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Problem 5:

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Problem 6:

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Problem 7:

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Problem 8:

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Differential Leveling | Fundamentals of Surveying – Problem 8: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 8: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 8: – Diagram Differential Leveling | Fundamentals of Surveying – Problem 8: – Diagram
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