14.30 (B). A certain equiangular strain gauge rosette is made up of three separate gauges. After it has been installed it is found that one of the gauges has, in error, been taken from an odd batch; its gauge factor is 2.0, that of the other two being 2.2. As the three gauges appear identical it is impossible to say which is the rogue and it is decided to proceed with the test. The following strain readings are obtained using a gauge factor setting on the strain gauge equipment of 2.2: Gauge direction Strain x 10-6 0° 60° 120° +1 - 250 +200 Taking into account the various gauge factor values evaluate the greatest possible shear stress value these readings can represent. For the specimen material E = 207 GN/m2 and v = 0.3. [City U.] [44 MN/m².] 1421 /D

14.30 (B). A certain equiangular strain gauge rosette is made up of three separate gauges. After it has been installed it is found that one of the gauges has, in error, been taken from an odd batch; its gauge factor is 2.0, that of the other two being 2.2. As the three gauges appear identical it is impossible to say which is the rogue and it is decided to proceed with the test. The following strain readings are obtained using a gauge factor setting on the strain gauge equipment of 2.2: Gauge direction Strain x 10-6 0° 60° 120° +1 - 250 +200 Taking into account the various gauge factor values evaluate the greatest possible shear stress value these readings can represent. For the specimen material E = 207 GN/m2 and v = 0.3. [City U.] [44 MN/m².] 1421 /D

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 certain equiangular strain gauge rosette is made up of three separate gauges. After it has been installed it is found that one of the gauges has, in error, been taken from an odd batch; its gauge factor is 2.0, that of the other two being 2.2. As the three gauges appear identical it is impossible to say which is the rogue and it is decided to proceed with the test. The following strain readings are obtained using a gauge factor setting on the strain gauge equipment of 2.2: Gauge direction 0o 60o 120o Strain * 10-6 +100 -250 +300 Taking into account the various gauge factor values evaluate the greatest possible shear stress value these readings can represent. For the specimen material E = 210 GN/m2 and v = 0.3
1.The thickness of a gage block is measured five times using an instrument that has a resolution of 0.001 cm. The following measurements are obtained (in cm): 1.100, 1.110, 1.090, 1.095, and 1.105. The true gauge block thickness is known to be 1.050 cm. Use this information to answer the following questions: a. What errors or sources of measurement error can be identified in the example? (Hint: there are three). Identify each one as a random or systematic uncertainty. b. Estimate the magnitudes of each of these uncertainties. Wherever possible, estimate random uncertainties at a 95% probability/confidence level. c. Based on the uncertainties determined in part b, estimate the overall uncertainty of a measurement obtained by this instrument.
Data taken from a tensile test is given below. The curve is linear between the origin and the first point. The gauge length is 34 mm and the cross sectional area is 12.56 mm2. Determine the modulus of elasticity. Force (N) Extension (mm) 0. 7000 0.25 8000 0.32 8500 0.56 8500 0.7 Select one: a. 75.8 GPa O b. none of these options O C. 86.3 GPa O d. 102 GPa O e. 201.6 MPa f. 305 GPa g. 240 MPa O h. 109.5 GPa
Data taken from a tensile test is given below. The curve is linear between the origin and the first point. The gauge length is 34 mm and the cross sectional area is 12.56 mm2. Determine the modulus of elasticity. Force (N) Extension (mm) 7000 0.25 8000 0.32 8500 0.56 8500 0.7 Select one: O a. none of these options O b. 75.8 GPa O c. 109.5 GPa O d. 305 GPa O e. 201.6 MPa O f. 240 MPa O g. 86.3 GPa O h. 102 GPa
i. If you know that any strain gauge has a sensitivity towards temperature.In other words, any change in the temperature could also affect theresistance value. How can we get a correct reading from strain gaugesand get rid of the temperature effect?ii. In an AC LVDT system, measuring the output voltage alone gives anindication of the displacement from the center, but not the direction ofdisplacement. Explain why, and also explain a method for solving thisproblem.iii. In a vortex flow meter, there are many methods that could be used tomeasure the effect of vortices and measure the flow rate. Explain howvortices could occur in this flow meter, and explain three methods thatcould be used for measuring the effects of vortices in a vortex flowmeter.iv. Explain in details how can we use a capacitor to indicate the lever ofwater in a tank (use drawings and electrical diagram to elaborate on yourexplanation).Page 5 of 63v. Bimetallic strip could be used as a temperature detector. Explain…
Strain gauges are a standard sensor to convert deformation into an electrical signal and are used in many applications. Describe how train gauges could be used to measure (i) acceleration; (ii) fluid pressure. Use a sketch for each case to illustrate how they are used.
1 The cross-sectional area and gauge length of a tensile test specimen are both equal to 60 mm². The specimen yields at 35000 N, with a gauge length of 78.40 mm being the appropriate value. This is the yield point of 0.8%. At a gauge length of 64.2 mm, a load of 50000 N is the highest that can be applied. Determine the following, a) Yield strength, b) Modulus of elasticity, and c) Tensile strength. d) If fracture occurs at a gage length of 80 mm, determine the percent elongation. e) If the specimen necked to an area = 55 mm², determine the percent reduction in area.
If the vernier gauge reading for a specimen is 22.24 mm and DTI observation in divisions are 7, 0, & -2 respectively, find the actual size of the specimen in mm. The actual size of the specimen (in mm)=
Q. Based on the calibration curves, find out the respective sensitivities of the displacement measurement. 1. Strain (UE) Strain (UE) 0.01 0.00 -0.01 -0.02 -0.03 -0.04 0.0 0.01 0.00 -0.01 -0.02 0 -0.03 -0.0003-0.0009 -0.04 Strain vs. Displacement (Pushing) -0.0369*x + -3.1E-03 R² = 0.984 0.0 0:0063 -0.011 0.1 0.2 0.3 -0.0152 -0.0049 0.1 0.2 -0.0088 -0.0195 0.3 Strain vs. Displacement (Releasing) -0.0378*x + 2.16E-03 R² = 0.991 -0.0231 -0.0265 -0.0124 -0.0163- 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Displacement (in) -0.02 -0.0298 0.4 0.5 0.6 Displacement (in) -0.0325 -0.0235 0.7 -0.0272 -0.0352 0.8 -0.0379 -0.0318 -0.0379 0.9 1.0
A tension test was performed on a specimen having an original diameter of 11.5 mm and a gauge length of 50 mm. The data are listed in the table. Load (kN) Elongation (mm) 0 11.1 31.9 37.8 40.9 43.6 53.4 62.3 64.5 62.3 58.8 0 0.0175 0.0600 0.1020 0.1650 0.2490 1.0160 3.0480 6.3500 8.8900 11.9380 Plot the stress-strain diagram. Use a scale of 20 mm = 50 MPa and 20 mm = 0.05 mm/mm. Redraw the linear-elastic region, using the same stress scale but a strain scale of 20 mm = 0.001 mm/mm. From the diagram, determine approximately the modulus of elasticity. Express your answer to three significant figures and include the appropriate units. E 215 Submit Previous Answers Request Answer Part B μÀ X Incorrect; Try Again; 2 attempts remaining Tu = 530 Determine the ultimate stress. Express your answer to three significant figures and include the appropriate units. GPa μÅ Part C Submit Previous Answers Request Answer MPa | μA ? X Incorrect; Try Again; 2 attempts remaining of=479.15 Determine the…
A tension test was performed on a specimen having an original diameter of 13.0 mm and a gauge length of 50 mm. Load (kN) Elongation (mm) 0 11.1 31.9 37.8 40.9 43.6 53.4 62.3 64.5 62.3 58.8 0 0.0175 0.0600 0.1020 0.1650 0.2490 1.0160 3.0480 6.3500 8.8900 11.9380 Using the data listed in the table, plot the stress-strain diagram. Use a scale of 20 mm = 50 MPa and 20 mm = 0.05 mm/mm. Part A From the diagram, determine approximately the modulus of toughness. Express your answer to three significant figures and include the appropriate units. U = Submit O μA Value Request Answer Units < Return to Assignment Provide Feedback ?
The gauge factor of a strain gauge is defined as: Select one: O a. e*AR+Vex O b. e/(AR/R) O c. *AR*R*Vex O d. (AR/R)/E O e. None of these options