SURVEYING INSTRUMENTS AND MEASUREMENTS TYPE OF SURVEYING INSTRUMENTS 1. Theodolite A theodolite is a precision instrument for measuring angles in the horizontal and vertical planes. Theodolites are used mainly for surveying applications and have been adapted for specialized purposes in fields like metrology and rocket launch technology. A modern theodolite consists of a movable telescope mounted within two perpendicular axes the horizontal or trunnion axis, and the vertical axis. 2. Measuring Tape Measuring Tapes are used in surveying for measuring horizontal, vertical or slope distances. Tapes are issued in various lengths and widths and graduated in a variety of ways. 3. Total Station A total station is an electronic/optical instrument used in modern surveying and building construction that uses electronic transit theodolite in connection with electronic distance meter (EDM). It is used to take the measurement ofHorizontal angles: The rotation of the optical axis of TS from the instrument north in a horizontal plane gives the horizontal angle. Vertical angle: The inclination of the optical axis of TS from the local vertical gives a vertical angle. Slope distance: The distance between TS and the target gives the slope distance. 4. GPS The Global Positioning System (GPS) is a space-based satellite navigation system that provides location and time information in all weather conditions, anywhere on or near the Earth where there is an unobstructed line of sight to four or more GPS satellites. 5. Chains Chains are used to directly measure the linear distance between two points above the earth’s surface 6. Pegs Used to mark out residential boundaries and indicate points and positions of a site 7. Compass Used to run a traverse line. 8. Prism A prism is used to reduce the scatter of the beam as it is reflected to the total which allows for both more accurate measurement and a longer range than the measurement can be made. 9. Tripod Used to support any one of several surveying instruments, such as theodolites, total stations, levels, or transits. 10. Plumb Bob It is used to transfer the points to the ground on a slope while chaining. It is also used to make the ranging poles vertical. In theodolites, compasses, plane tables, and other surveying instruments, it is used for centering purposes. 11. Dumpy Level 12. Prism Pole 13. Leveling Staff 14. Arrow 15. Ranging Rods A level is an optical instrument used to establish or verify points in the same horizontal plane in a process known as levelling. It is used in conjunction with a levelling staff to establish the relative height or levels of objects or marks. A prism pole can be used to measure the elevation of a specific ground point by using a sight level, which is important if you want to get accurate results. You can find a survey pole in a variety of materials — from metal and fiberglass to a variety of composites. A level staff, also called levelling rod, is a graduated feet and meter on aluminum rod, used with a levelling instrument to determine the difference in height between points or heights of points above a vertical datum. It cannot be used without a leveling instrument. Arrows are used for marking and are made up of hardened, and tempered steel wire of good quality. 10 arrows are usually sold with a chain. Its length is about 25-50 cm. One of its ends is sharpened while the other end is bent into a circular loop. To mark the chain length on the ground, an arrow is inserted at the end of the chain. Ranging rods are 2-3 meters in length and are painted with alternate bands of two colors like white and black, red and white in succession. They are used to range an intermediate point on a survey line. MEASUREMENT - process of determining the extent, size, or dimension of a particular quantity in comparison to a given standard TYPES OF MEASUREMENTS 1. Direct Measurements - comparison of the measured quantity with a standard measuring unit (makes use of instruments to measure the quantity) 2. Indirect Measurements - made when it is not possible to apply a measuring instrument directly to a quantity THE METER - proposed in 1789 by French scientists to establish a system suitable for all times and all peoples, and which could be based upon permanent natural standards. - originally defined as 1/10,000,000 of the earth’s meridional quadrant - it was redefined in 1960 as the length equal to 1,650,763.73 wavelengths of the orange-red light produced by burning the element Krypton (atomic number 86) at a specified energy level in the spectrum. Effective January 1, 1983, the English System was officially phased out in the Philippines and only the modern metric system was allowed to be used. The metric conversion was signed into law in 1978 by Pres. Marcos. The metric system prescribed the use of the International System of Units (SI) as established by the General Conference on Weights and Measures and as modified by the local Metric System Board to suit Philippine Conditions. UNITS OF MEASUREMENT 1. Linear, Area, and Volume Measurements 2. Angular Measurements Radian – SI unit for plane angles (the angle subtended by an arc of a circle having a length equal to the radius of a circle) a) Sexagesimal Units - the degree, minute, second b) Centesimal Units - uses grads (360° = 400 grads) - the grad is divided into 100 centesimal minutes and the minute is divided into 100 centesimal seconds SURVEYING MEASUREMENTS Measuring distances and angles from a known reference are fundamental surveying operations. Through the use of trigonometric calculations, the distance and angle measurements are used to establish three dimensional (3-D) coordinates for each surveyed point. The coordinates are then plotted to create planimetric maps and digital terrain models (DTM’s). TYPES OF MEASUREMENTS 1. Direct Measurements - comparison of the measured quantity with a standard measuring unit (makes use of instruments to measure the quantity) 2. Indirect Measurements - made when it is not possible to apply a measuring instrument directly to a quantity The five common types of survey measurements are horizontal distances and angles, vertical distances and angles, and slope distances. HORIZONTAL AND VERTICAL PLANES Angles and distances are measured relative to either a horizontal or vertical plane. The horizontal plane is a level surface radiating outward from the point of observation and is perpendicular to the vertical axis. The vertical axis (or plumb line) is always parallel to the direction of gravity. The vertical plane runs in a direction parallel to the vertical axis and perpendicular to the horizontal plane. A vertical plane is established whenever the instrument rotates along the horizontal plane to face a new direction. a) Horizontal Distances and Angles A linear measurement on the horizontal plane determines the horizontal distance between two points. However, the true horizontal distance is curved like the Earth’s surface. Due to this curvature, the direction of gravity is different at each point. Horizontal distance and angle measurements are then used to calculate the position of a point on the horizontal plane. b) Vertical Distances and Angles Vertical distances are measured along the vertical axis to determine the difference in height (or elevation) between points. Vertical angles are measured in the vertical plane either above or below the horizontal plane of the instrument. Zenith angles, used as a reference for measuring vertical angles, are defined as 0° directly overhead and 90° at the horizontal plane. c) Slope Distance The slope distance is the shortest distance from the instrument to the target. This distance is the hypotenuse of the horizontal and vertical distances. The horizontal and vertical distances can be calculated if the slope distance and vertical angle is known. ACCURACY AND PRECISION Accuracy and precision are two different, yet equally important surveying concepts. - Accuracy is the degree of conformity of a given measurement with a standard value. Precision is the extent to which a given set of measurements agree with their mean. UNITS OF MEASUREMENT 1. Linear, Area, and Volume Measurements 2. Angular Measurements Radian – SI unit for plane angles (the angle subtended by an arc of a circle having a length equal to the radius of a circle) c) Sexagesimal Units - the degree, minute, second d) Centesimal Units - uses grads (360° = 400 grads) - the grad is divided into 100 centesimal minutes and the minute is divided into 100 centesimal seconds