Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 11, Problem 11.21P
Two strain gauges are mounted so that they sense axial strain on a steel member in uniaxial tension. The 120 Q gauges form two legs of a Wheatstone bridge, and are mounted on opposite arms. For a bridge excitation voltage of 4 V and a bridge output voltage of 120 pV under load, estimate the strain in the member. What is the resistance change experienced by each gauge? The gauge factor for each of the strain gauges is 2 and Emfor this steel is 29 x 106 psi.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A single-strain gauge is mounted on the surface of a thin-walled pressure vessel that has a diameter of 1 m. For a strain gauge oriented along the tangential stress direction, determine the ratio between transverse and axial strain. The lateral sensitivity is 0.03. Take help from Mechanics of Material, Thin pressure vessels hoop stresses and longitudinal stresses equation.
Part (A) A strain gauge and bridge circuit are used to measure the tension force in a bar of steel that has a cross-sectional area of 13 cm.The strain gauge has a nominal resistance of 120 0 and a GF of 2. The bridge is supplied with 10 V. When the bar is unloaded, the bridge is balanced so
2-in. cross-sectional area
4120 a
the output is oV. Then force is applied to the bar, and the bridge voltage goes to 0.0005V. Find the force on the bar.
V 0.000s v
20 a
10 V
6000
Part (B)f we assume Simple resistance bridge arrangement as shown in the fgure below for strain measurement, colculate the change in output voltage, if exctng voltnge is 9.5 V and we have the value of AR/R as per the dats given in part (a).
く)
A strain gauge, having a gauge factor of 2, is mounted on a
rectangular steel bar (Em=200 x 10 ° N/m2). The bar is 4 cm
wide and 1 cm high, and subjected to a tensile force of 30 kN.
the resistance of the gauge is 120 in the absence of axial load
The stress in the bar in KN/m²
Choose...
The strain in the bar in microstrain
Choose...
The reference resistor
Choose...
The resistance change of the strain gauge Choose...
Chapter 11 Solutions
Theory and Design for Mechanical Measurements
Ch. 11 - Prob. 11.1PCh. 11 - 11.2 Calculate the change in length of a steel rod...Ch. 11 - 11.1 Calculate the change in length of a steel rod...Ch. 11 - 11.2 Calculate the change in length of a steel rod...Ch. 11 - 11.5 An electrical coil is made by winding copper...Ch. 11 - Compare the resistance of a volume of k X IO-2* m3...Ch. 11 - A conductor made of nickel (p, = 6.8 x 10-8 Q m)...Ch. 11 - Consider a Wheatstone bridge circuit that has all...Ch. 11 - 11.9 Consider a Wheatstone bridge circuit that has...Ch. 11 - 11.10 A resistance strain gauge with R = 120 Q and...
Ch. 11 - 11.11 A strain gauge that has a nominal resistance...Ch. 11 - Prob. 11.12PCh. 11 - 11.13 A single strain gauge is mounted as shown in...Ch. 11 - 11.14 A single strain gauge is mounted on a...Ch. 11 - 11.15 Equation 11.15 provides an expression for...Ch. 11 - 11.17 A steel beam member (vp = 0.3) is subjected...Ch. 11 - An axial strain gauge and a transverse strain...Ch. 11 - A strain gauge is mounted on a steel cantilever...Ch. 11 - Two strain gauges are mounted so that they sense...Ch. 11 - A rectangular bar is instrumented with strain...Ch. 11 - 11.23 A round member having a cross-sectional area...Ch. 11 - 11.24 A square structural member having a cross...Ch. 11 - 11.25 Show that the use of a dummy gauge together...Ch. 11 - Show that four strain gauges mounted to a shaft...Ch. 11 - 11.27 For each bridge configuration described...Ch. 11 -
Figure 11.25 Bridge arrangement for Problems...Ch. 11 - Prob. 11.29PCh. 11 - Prob. 11.30P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Four strain gauges are formed into bridge with only one active gauge. The nominal resistance of all of them is 120 W. The gauge factor is 2.1 and the supply voltage is 10 V. Calculate the strain when the output from the bridge is 20 mV.arrow_forwardStrain gauges Wire strain gauge. A strain num-iridium wire of length 1 m and diameter 0.1 mm, used to sense strain on an antenna mast due to wind loading. Calculate the change in resistance of the sensor per pro-mil strain (1 pro-mil is 0.001 or 0.1% strain). 6.1 gauge is made in the form of a simple round plati-arrow_forwardA 45° degree strain gauge rosette positioned on the surface of a structure under stress recorded the following values of normal strain: Gauge A: -195×10 (oriented in the postive x direction) Gauge B: 145 x 10- (oriented at 45° anti-clockwise to gauge A) Gauge C: -275×10-8 (oriented at 90° anti-clockwise to gauge A) What is the value of normal strain and shear strain on a plane inclined at 29° clockwise from gauge B? a) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 602.1 microstrain, respectively. b) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 301.1 microstrain, respectively. c) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 334.9 microstrain, respectively. d) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 167.4 microstrain,…arrow_forward
- Use appropriate diagram and sketches. Calculatethe strain experienced by a rod of length 2m subjected to a force that causes a change of resistance of 0.00002 Ω in the gauge Wheatstone bridge circuit. The strain gauge has gauge factor of 2 and the resistivity of the Wheatstone bridge circuit wires is 1.83 ×10-8 ohm-meter having a cross-sectional area 0.05m² and length 0.1marrow_forward3. Compare the resistance change produced by a strain of 150 microstrain if a strain gauge of nominal resistance of 120 N is used (i) when made of wire resistance having a gauge factor of 2.13 and (ii) when made of a semiconducting material having a gauge factor of 151. 4. A metallic strain gauge has a resistance of 120 Q and a gauge factor of 2. It is installed on an aluminium structure which has a yield point stress of 0.2 GN/m² and young's modulus of 68.7 GN/m?, determine the change in resistance of the gauge that would be caused by loading the material to yield point.arrow_forwardA resistance, wire strain gauge with a gauge factor of 3 is bonded to a steel structural e subjected to a stress of 200 MN/m² The modulus of elasticity of steel is 400 GN/m² Calculate the % change in the value of the gauge resistance due to the applied stressarrow_forward
- 1) A compressive force is applied to a structural member. Two separate strain gauges are attached to the structural member; one is a nickel wire strain gauge having a gauge factor of -12.1 and the other is nichrome wire strain gauge having a gauge factor of 2. Calculate the value of resistance of the two gauges after they are strained, if the resistance of strain gauges before being strained is 120 2, and the compressive strain is 5 micro-strain. Assume positive value for tensile strain and negative for compressive strain. (Answer: For Nickel, R = 120.00726 Q. For Nichrome, R = 119.9988 Q)arrow_forwardQUESTION 2' a) When a strain gauge is stretched under axial tension, its resistance varies with the imposed strain. A resistance bridge circuit is used to convert the resistance change into voltage as shown in Figure 2. i) Distinguish among stress and strain. ii) In Figure 2, the 120 22 strain gauge with a gauge factor of 2 is mounted on a rectangular steel bar (Em = 200 GPa, 3 cm wide and 1 cm high) and connected to bridge circuit with input voltage, E₁=5 V. If the voltmeter shows 1.25 mV, calculate the amount of tensile load applied to the steel bar. Gauge axis Figure 2 E Tensile loading 3cm 1 cmarrow_forwardA single electrical resistance strain gauge of resistance 100 ohm and having a gauge factor of 2.5 is bonded to a metal having an elastic limit stress of 300 kN/m² and modulus of elasticity of 250 GN/m2 Calculate the change in resistance due to a change in stress equal to 1/20 of the elastic range of metalarrow_forward
- Calculate the strain experienced by a rod of length 2m subjected to a force that causes a change of resistance of 0.00002 Ω in the gauge Wheatstone bridge circuit. The strain gauge has gauge factor of 2 and the resistivity of the Wheatstone bridge circuit wires is 1.83 × 10-8 ohm-metre having a cross-sectional area 0.05m² and length 0.1m.arrow_forwardFor a conductive wire with length L=1cm,w=1mm, h=1mmunder uniaxial strain, the resistance change is given as. If the uniaxial strain is e= 1 and the Poisson’s ratio is n= 0.3. What is the gauge factor?arrow_forward2b. A thin cylinder with closed flat ends has an inner diameter of 250 mm and a wall thickness of 4 mm. A delta strain gauge rosette is attached to the outer cylindrical surface with one gauge set at 45° to the longitudinal axis of the cylinder as shown in Figure 2b. Determine the expected readings in each of the three gauges when the cylinder is subjected to an internal pressure of 10 N/mm?. The cylinder material has a Young's Modulus of E = 200×10°N/mm? and Poisson's ratio v= 0.3. What is the volumetric strain and increase in the internal radius of the cylinder due to the internal pressure? 45° 60 125 mm 60 Figure 2barrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY