Problem 10-4: A strain gauge that has a nominalresistance of 350 S, and a gauge factor of 1.8 ismounted in an equal-arm bridge, which is balanced at azero applied strain condition. The gauge is mounted ona 1 cm² aluminum rod with Em = 70 GPa. The gaugesenses axial strain. The bridge output is 1 mVfor abridge input of 5 V. What is the applied load, assumingthat the rod is in uniaxial tension?

Given:Nominal resistance, Ro= 350Gauge factor, GF = 1.8 Bridge output, Vout= 1 mVBridge input, Vin =…

Answered: Problem 10-4: A strain gauge that has a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 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...
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.
This question from measurements instrumentation course. The pic two is for figure 8.20(a).
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 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.
The I beam below is fixed to a rigid wall and subjected to a force 100 kN at its right end. The specifications of the I beam is shown on the right. Other relevant parameters include the section moment of inertia Iz = 45.2 x 10-6 m4, the elastic modulus E = 200 GPa, and Poisson’s ratio v = 0.3. To monitor the local strain, a small rosette of 3 strain gauges is mounted at the top surface in the middle of the beam (red dot).a) Solve the stress tensor at the location of strain gauge (red dot). Find the principle stresses and maximum shear stress.b) What is the strain tensor at the red-dot location?c) What are the readouts of each strain gauge?
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,…
A 45° degree strain gauge rosette positioned on the surface of a structure under stress recorded the following values of normal strain: Gauge A: Gauge B: (oriented at 45° anti-clockwise to gauge A) Gauge C: -275×10 (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? -6 - 195 × 10 (oriented in the postive x direction) 145 x 10-6 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,…
Basic force sensor. The ceiling of a large building is supported by 16 vertical steel tubes, each with an inner diameter of 100 mm and an outer diameter of 140 mm. Each tube is equipped with a 240 2 strain gauge (nominal, unstressed resistance at 20°C), prestressed to 2.5% strain. The Young's modulus for steel is 200 GPa. The strain gauge has a gauge factor of 2.2. 6.6 a. If the maximum strain mneasured is 2% in each tube, what is the maximum weight of the roof? b. What is the change in the resistance of the strain gauge and what is the actual resistance reading for maximum allowable weight? C. If the expected temperature range is 0°C-50°C, what is the error in reading of the maximum weight, assuming the sensor is not temperature compensated and it is made of constantan?
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.
3. 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.

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