Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 11, Problem 11.22P
A rectangular bar is instrumented with strain gauges and subjected to a state of uniaxial tension. The bar has a cross-sectional area of 2 in.2, and the bar is 12 in. long. The two strain gauges are mounted such that one senses the axial strain, while the other senses the lateral strain. For an axial load of 1,500 lb, the axial strain is measured as 1,500 pc (pin./in.), and the lateral gauge indicates a strain of -465 pe. Determine the modulus of elasticity and Poisson’s ratio for this material.
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1-A round member having a diameter of 3cm experience an
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the other measuring a lateral strain of -163 micro-strain.
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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
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bar in KN/m2
The strain in the bar
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in microstrain
The reference
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resistor
The resistance
change of the strain
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gauge
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1. A bicycle wheel is assembled with each spoke pre-tensioned to a tensile force of
95 lbf. The diameter of each spoke is d = 0.0787 in.
After the wheel is assembled, a strain gauge is applied to a representative spoke so
that the gauge reads zero strain in the pre-tensioned condition. The figure below
shows one cycle of strain readings as the wheel rotates through one revolution in
use. Zero degrees corresponds to the spoke being between the hub and the ground
(i.e., at the six o'clock position).
50
-50
-100
-150
-200
-250
-300
-150
-100
-50
50
100
150
Spoke position in degrees
He, microstrain
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
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- 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_forwardA 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.arrow_forwardFigure Q2 shows the strain gauges positions and values at point A on a surface of a loaded structure. The strain readings in directions of a, b and x are +400m, -100m and +200m respectively. The structure has properties as following; E= 205 GPa, v = 0.32 a) What are the principal stresses? Sketch the principal stress element and mark its values. b) What are the stresses in a-b directions ? Sketch the stress element and mark its valuesarrow_forward
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