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 11.19P
An axial strain gauge and a transverse strain gauge are mounted to the top surface of a steel beam that experiences a uniaxial stress of 2,222 psi. The gauges are connected to arms 1 and 2 (Fig. 11.12) of a Wheatstone bridge. With a purely axial load applied, determine the bridge constant for the measurement system. If &Eq = 250 pV and E}= 10 V, estimate the average gauge factor of the strain gauges. For this material, Poisson’s ratio is 0.3 and the modulus of elasticity is 29.4 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 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...
gauges system mounted at a point on a structural member that is subjected to
multiaxial stresses, where we have the following readings:
Ex = 6.686 x104 ;&,
3.0 x10-4; & = - 6.857 x10-5; Yxy = 2.580 x10-3;
%3D
%3D
Determine the stress components if the member is made of an isotropic material with linear
elastic behavior having the following elastic properties:
Young's modulus E = 70 Gpa and Poisson's ratio v = 0.29;
Select one:
Ox = 70 Mpa; Oy = 50 Mpa; o,
3 30 Мра; Тҳу
35 Mра;
%3D
25 Mpa; 0z = 30 Mpa; Txy = 70 Mpa;
%3D
Ох %3D 140 Мра; бу
%3D
Ox = 90 Mpa; oy
= 50 Mpa; o, = 60 Mpa; Ty = 35 Mpa%3;
Ox = 70 Mpa; oy = 50 Mpa; 0z = 30 Mpa; Txy = 70 Mpa;
= 70 Mpa3;
= 100 Mpa; Oy = 50 Mpa; 0z = 80 Mpa; Txy
A strain gauge is used to measure the tension force in a 1-in. diameter bar of
steel (E = 30, 000, 000 lb/ in?). The strain gauge has a nominal resistance
of 140 N and a gauge factor (GF) of 4. The strain gauge is connected to a bridge
(which is supplied with 10 Vdc). The bridge was initially balanced. After the
bar is put under tension, the bridge output voltage goes to 0.0008 Vdc. Draw
a schematic of the setup and calculate the force.
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
- 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.arrow_forwardWe're measuring axial load in a rectangular bar with two strain gauges: one on the top in the axial direction and the other on the bottom in the transverse direction). An axial load, P, is applied and the ambient temperature is varying with time. P # Strain gages > Р (a) If one strain gauge is connected to leg 1 of the Wheatstone bridge, which leg (2, 3, or 4) would you connect the other strain gauge in order to achieve temperature compensation? Please explain your choice by writing out the equation. (b) Calculate the bridge constant of this arrangement, your (c) If some bending moment were inadvertently applied (in addition to the axial load), would choice in part (a) provide compensation for bending loading? Justify your answer by writing out the equation.arrow_forwardlin. = 0.2 x 103 in. You test a concrete cylinder having a diameter of 6.00 in and a gauge length of 12 in by applying compression forces. The results of your test are reported in the table as load vs. contraction. Draw, by hand on engineering paper, a stress-strain diagram using scales of: 1 in. = 0.5 ksi in. From the diagram, determine approximately the Modulus of Elasticity. Load (kip) Contraction (in) 0.0 0.0000 5.0 0.0006 9.5 0.0012 16.5 0.0020 20.5 0.0026 25.5 0.0034 30.0 0.0040 34.5 0.0045 38.5 0.0050 46.5 0.0062 50.0 0.0070 53.0 0.0075arrow_forward
- A 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_forward10.4 A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MN/m² and this causes the following strains: (a) hoop gauge: 455 x 10-6 tensile. (b) longitudinal gauge: 124 x 10-6 tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GN/m² and Poisson's ratio is 0.283. [96.7 mm]arrow_forwardPart (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)arrow_forward
- Q1 The 45° strain rosette is mounted on a steel robotic am as shown in Figure Ql. The robotic arm is made from steel with Esel = 200 GRA and poison ratio, v= 0.3. The following readings are obtained for each gauge: E=[Y+Z](10“) E = -250(10-) E= -200(10) Here the value of Y and Z depends on the 5th digit and 6th digit of your matric number as shown in Table 1. For example, if your matrix number is DD 070112 gives the value of Y=300 and Z-60: Table 1 5 digit of matric 6* digit of matric number number 250 300 350 30 2 60 3 400 3 90 4 450 120 5 500 150 6. 550 180 7 600 7 210 650 700 240 270 (a) Prove that &= E, and E, = E. Determine the shear strain, yand the normal strain, E, and &. (b) Estimate the in-plane principal strains and the angle associated with the principal strains, and (c) Calculate the principal stress associated with the prihcipal strains in (c). (d)arrow_forwardSemiconductor strain gauges find their primary application in the construction of transducers, such as load cells and pressure transducers. Why do measuring instruments manufacturers usually use semiconductor strain gauges even though they are significantly more expensive than metallic strain gauges? Name two pros and two cons of these strain gauges compared to metallic strain gauges. Paragraph B A Lato (Recom... 19px... v T + varrow_forwardA strain gauges system mounted at a point on a structural member that is subjected to multiaxial stress, where we have the following readings: Ex = 3.8 x104; &y = 5.5 x10-5; Ez = - 7.5 x10-5; Yy = 9.1 x104; %3D Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Young's modulus E = 200 Gpa and Poisson's ratio v = 0.3; Select one: Ох %3D -100 Мра; оу %3D -50 Мра; о, %3D 30 Мра; Тху 3D 70 Мра; Ox = -75 Mpa; o, = -50 Mpa; 0z = 40 Mpa; Ty = 80 Mpa3; Oy = 300 Mpa; oy = -150 Mpa; 0z 3 100 Мра;B тyу = 100 Mpa; TOSHIBAarrow_forward
- Q1- The following data was obtained tensile test ɔn a specimen of 10 mm diameter and gauge length Lo=50 mm: 0 38 | 76.2 92.7 107 149 160.4 | 155 142 124.7 load(KN) | elongation(mm) 0 0.02 0.12 0.25 0.50 2.03 3.55 4.06 5.1 5.84 Using the graphic paper supplied, Plot engineering stress-strain curves, then determine the (ay, ey), (ou , eu), (of,, ef), modulus of elasticity, then detected in the draw ((stroin hardening (m)), (Necking), (uniform plastic region and non-uniform plastic region) and (elastic & plastic) region))?arrow_forward650 600 550 500 450 400 350 300 250 200 150 100 50 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Strain mm/mm The graph above shows the stress-strain relationship of a steel bar under tension test. The steel bar diameter = 8 mm and the bar gauge length = 100 mm. Determine the following: If the specimen is loaded to 550 MPa and then unloaded. What would be the modulus of resilience of the sample after reloading? Stress (MPa)arrow_forwardFour 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_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