Force, Torque, and Shaft Power Measurement By Aj. Somchai Triratanajaru M.Eng. KMUTT, B.Eng KMITL Term 1/2553 1 LECTURE OUTLINE 1. Standards and Calibration 2. Basic Methods of Force Measurement 3. Characteristics of Elastic Force Transducers 4. Resolution of Vector Forces 5. Torque Measurement on Rotating Shafts 6. Shaft Power Measurement (Dynamometers) 7. Gyroscopic Force and Torque Measurement 8. Vibrating-Wire Force Transducers *Major part of this presentation are from Measurement Systems, Ernest O. Doebelin 2 1.Standards and calibration Force, (F=ma); thus a standards for force depends on standards of mass and acceleration. Mass standards-> cylinder of platinum-iridium called International Kilogram. Acceleration -> drive from standards of length and time. g -> sea level and 45o latitude 980.665 cm/s2 If not , must be compensated. 3 Force standards 4 2. Basic methods of force measurement There are seven methods introduce in the reference text book. Some methods are only use in lab. We will focus on weighting and torque measuring instrument But keep in mind that it is still have so many methods out there. Use this information as the guide line for further study. 5 2.1 Balancing it against the known gravitational force on a standard mass, either directly or through a system of levers. 6 2.2 Measuring the acceleration of a body of known mass to which unknown force is applied. 7 8 9 10 11 12 2.3 Balancing it against a magnetic force developed by interaction of a current-carrying coil and a magnet. 13 2.4 Transducing the force to a fluid pressure and then measuring the pressure. 14 2.5 Applying the force to some elastic member and measuring the resulting deflection. 15 Strain-Gauge Load Cell 16 Strain-Gauge Beam Transducers 17 18 19 20 21 22 23 24 Young's modulus Young's modulus, E, can be calculated by dividing the tensile stress by the tensile strain: where E is the Young's modulus (modulus of elasticity) F is the force applied to the object; A0 is the original cross-sectional area through which the force is applied; ΔL is the amount by which the length of the object changes; L0 is the original length of the object. 25 Young's modulus.. Young's modulus is the ratio of stress, which has units of pressure, to strain, which is dimensionless; therefore Young's modulus itself has units of pressure. 26 Young's modulus… Material Modulus (GPa) Aluminum 69 117 207 Copper Steel 27 LVDT Force Transducer 28 Piezoelectric Load Cells 29 Torque Measurement of Rotating Machines: Dynamometers 30 Chassis Dynamometer 31 Servo-controlled Dynamometer 32 33 34 35 2.6 Measuring the change in precession of gyroscope caused by an applied torque related to the measured force. 36 2.7 Measuring the change in natural frequency of a wire tensioned by the force. 37 Further reading and more exercises Text. Process control Instrumentation technology Curtis D. Johson 38