Question
Download Solution PDFWhen the instrument is stationed near point P, the staff readings at point P and Q are 1.800 m and 2.600 m, respectively. When the instrument is stationed near point Q, the staff readings at P and Q are 1.500 m and 2.400 m, respectively. R.L. of point P is 100 m. Find the R.L. of point Q.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let say the reciprocal levelling is performed across station A & B:
|
Level at Station |
Reading at A |
Reading at B |
|
A |
XA |
YA |
|
B |
XB |
YB |
The difference in level between A & B is given by:
Difference in level between A & B
\({{\rm{h}}_{\rm{d}}} = \frac{{\left( {{{\rm{x}}_{\rm{A}}} - {{\rm{y}}_{\rm{A}}}} \right) + \left( {{{\rm{x}}_{\rm{B}}} - {{\rm{y}}_{\rm{B}}}} \right)}}{2}\)
R.L of B = R.L of A + Difference in elevation
Calculation:
|
Level at Station |
Reading at P |
Reading at Q |
|
P |
1.800 m |
2.600 m |
|
Q |
1.50 m |
2.40 m |
Difference in level between P&Q = \(\frac{{\left( {2.600 - 1.800} \right) + \left( {2.40 - 1.50} \right)}}{2} = 0.85{\rm{\;m}}\)
R.L of P - R.L. of Q = 0.85 m
100 - R.L.Q = 0.85
99.15 m = R.L.Q
Last updated on May 28, 2025
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