Differential levelling is carried out from point P (BM: +200.000 m) to point R.
The readings taken are given in the table.Points Staff readings (m) Remarks Back Sight Fore Sight P (-)2.050 BM: +200.00 m Q 1.050 0.950 Q is a change point R (-)1.655
Reduced Level (in meters) of the point R is _______ (rounded off to 3 decimal places).
The readings taken are given in the table.
| Points | Staff readings (m) | Remarks | |
| Back Sight | Fore Sight | ||
| P | (-)2.050 | BM: +200.00 m | |
| Q | 1.050 | 0.950 | Q is a change point |
| R | (-)1.655 | ||
Correct Answer: 199.704
Solution and Explanation
Top Questions on Statistical analysis of traffic data
Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the truss.
Identify the CORRECT influence line from the following options:
Note: Positive value corresponds to tension and negative value corresponds to compression in the member.
- GATE CE - 2025
- Transportation Engineering
- Statistical analysis of traffic data
- The following data is obtained from an axle load survey at a site:
Average rear axle load = 12000 kg
Number of commercial vehicles = 800 per day
The pavement at this site would be reconstructed over a period of 5 years from the date of survey. The design life of the reconstructed pavement is 15 years. Use the standard axle load as 8160 kg and the annual average vehicle growth rate as 4.0%. Assume that Equivalent Wheel Load Factor (EWLF) and Vehicle Damage Factor (VDF) are equal.
The cumulative standard axle (in msa) for the pavement design is _____ (rounded off to 2 decimal places).- GATE CE - 2024
- Transportation Engineering
- Statistical analysis of traffic data
Questions Asked in GATE CE exam
For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by \( \frac{\alpha M_0}{8EI} \). The value of \( \alpha \) is ........ (rounded off to the nearest integer).
- GATE CE - 2025
- Integration
- Consider the function given below and pick one or more CORRECT statement(s) from the following choices.
\[ f(x) = x^3 - \frac{15}{2} x^2 + 18x + 20 \]- GATE CE - 2025
- Determinants
- An electricity utility company charges ₹7 per kWh. If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
- GATE CE - 2025
- Logical and Analytical Reasoning Skills
- During determination of the bulk specific gravity of compacted bituminous specimen, the mass in air of the specimen is 1260 g and volume is 525 cm³. The density of water is 1.0 g/cm³. The theoretical maximum specific gravity of mix is 2.510. The percentage air voids in the compacted specimen is ......... (rounded off to 2 decimal places).
- GATE CE - 2025
- Gravity Dams and Spillways
In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at A and B, as shown in the table. If the RL of A is 150.000 m, the RL of B (in m) is ....... (rounded off to 3 decimal places).
- GATE CE - 2025
- Surveying and Levelling