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.
2b. 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 2b
Part-C A single strain gauge having resistance of 150 Q is mounted on a steel cantilever beam at a distance of 0.2m from the free end. The beam dimensions are 30 cm (length) x 1.8 cm (width) x 0.28 cm (depth). An unknown force F applied at the free end produces a deflection of11 mm at the free end. If the change in gauge resistance is found to be 0.15N. Calculate the gauge factor. Take Young's modulus of steel as 200 GN/m2. 4(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)
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)
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.
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,…
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,…
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.
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.
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)

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