Force applied to a circular cantilever beam is estimated from the strain-gage read-out andmeasurements of beam dimensions. The readout of the strain-gage sensor is 3.40V. The length anddiameter of beam were measured by a caliper which has a resolution of 0.01 in. Five measurementswere made for both the length (mean=11.96", STD=0.05") and diameter (mean=1.05, STD=0.02"),respectively. The caliper has a resolution of 0.01 in. The measurements took place at a roomtemperature (20 °C). (a) What is the sensitivity of the sensor? (b) Find the uncertainty of theapplied force (o = 32FI/3, c=95%) (c) Which measurement contributes the largestuncertainty?VoltmeterStrain-gageResolution0.01VInput0-100ksiExcitation15VDCOutput0-5VLinearity+4mv/ksiHysteresis+0.4% of FSThermal+0.3mv/°C

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Answered: Force applied to a circular cantilever…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1
. Data was collected from the tensile test demonstration for Aluminum 6061-T6. Below are the resulting stress-strain diagrams based on the tensile test we performed. o (MPa) Al 6061-T6 Stress-Strain Curve o (MPa) 350 320 300 250 200 150 100 50 0 Estimate 0 0.05 0.1 0.15 ε (mm/mm) 300 270 250 220 200 150 140 100 a) The modulus of Elasticity, E b) The yield stress, d, using the 0.2% offset method c) The strain at failure, & failure d) The modulus of resilience (approximately!) 50 0 0 Al6061-T6 Stress-Strain Curve, Magnified N 0.0032 0.002 0.004 0.006 0.008 € (mm/mm) The right diagram shows the magnified elastic region of stress-strain diagram to enhance the details.
Tutorial Mechanical properties 1. Based on data collected as Table 1, plot graph Stress vs strain, determine YS, TS and E. | Table 1: Data load and length for tensile test Gage length (mm) Load Gage length Load (N) (mm) (N) 35,220 35,720 40,540 50.8000 50.9778 50.8102 50.8203 4,890 51.0032 9,779 51.8160 14,670 50.8305 48,390 53.3400 19,560 24,450 27,620 29,390 32,680 33.950 34,580 50.8406 59,030 65,870 69,420 69,670 (maximum) 55.8800 50.8508 50.8610 58.4200 60.9600 50.8711 61.4680 50.9016 68,150 63.5000 50.9270 60,810 (fracture) 66.0400 (after fracture) 50.9524 Original, specimen diameter: 12.7 mm.
Semiconductor 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 + v
The following data were collected from a 12 mm diameter test specimen of Magnesium. LOAD (N) GAUEGE LENGTH (mm) 0 5000 10000 15000 20000 25000 26500 27000 26500 30.000 25000 30.0296 30.0592 30.0888 30.15 30.51 30.90 31.50 (maximum load) 32.10 32.79 (fracture) After the fracture, the gauge length is 32.61 mm and the diameter is 11.74 mm. a) What is the elastic modulus? b) Percent elongation at fracture? c) Percent elongation after fracture? d) What is the Poisson's ratio? e)Draw the engineering stress-strain diagram corresponding to the values in the table. Call this plot I. Now consider this experiment is repeated at a higher temperature with an identical sample. Draw the new engineering stress-strain diagram, call it plot II and highlight the differences (on the same graph) between I and II.
The figure below (for illustrative purposes) shows a perfectly rigid (non-deformable) beam which is perfectly rigidly supported at points P and R by two force measurement scales, 1 and 2. PQ is 65 cm and PR is 150 cm. The beam is horizontal when each of scales 1 and 2 gives a reading of zero. Acceleration due to gravity is 9.81 ms-2. Scale 1 Point P Point Q Point R Scale 2 Choose one of the following options that will give the correct readings of scales 1 and 2 when a mass of 30 kg acts vertically downwards at point Q. (The scales are not loaded to you will have to calculate the answer) O A Reading of Scale 1 = 150 kg; Reading of scale 2 = 65 kg O B. Reading of Scale 1 = 166.77 kg; Reading of scale 2 = 127.53 kg O C. Reading of Scale 1 = 150 Newton; Reading of scale 2 = 65 kg O D. Reading of Scale 1 = 166.77 Newton; Reading of scale 2 = 127.53 Newton
650 600 550 500 450 400 350 300 250 200 150 100 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)
The purpose of this problem is to show the relationship between material constants typically used in engineering practice. This is useful because you may often have access to measurements of or tabulated values of some constants (e.g., Young's modulus and Poisson's ratio) but need another constant (e.g., shear modulus) for a calculation. Use the expression Cijkl = µ(dildjk + dikdjl) + Ad¿jdkl to derive the following: (a) Young's modulus, E = µ(3X+2µ)/(X+μ), from the definition 11 = Ee11 in a unconfined (022 = 0,033 = 0) uniaxial tension test. (b) Poisson's ratio, v = \/(2(X + μ)), from the definition v = €22/11 in the same test as in (a). (c) Shear modulus, μ = G = 012/(2€12) = E/(2(1 + v)). Use the results to show that C can also be written Cijkl Ev/((1+v)(1 − 2v))dij§kl. = E/(2(1 + v))(duðjk + dikdjl) +
16:57 A steel specimen has an original diameter of 0.503 and gage length of 2. You perform a tensile test and acquire the following data: Load (kN) 0 1.5 4.6 8 wamap.org 11 11.8 11.8 12 16.6 20 21.5 19.5 18.5 Elongation (m) 0 0.0005 0.0015 0.0025 0.0035 0.005 0.008 0.02 0.04 0.1 0.28 0.4 0.46 a. Plot the stress-strain diagram on EXCEL (or write MATLAB code to generate the plot). a. Do not calculate stress and strain by hand. In Excel use the function tool: Load (kip Elongation (in) 0 0 1.51 4.6 0.0005 0.0015 Stress Strain 0 =A4/$A$19 23.149 0.00075 If you are using MATLAB, write code to calculate stress and strain. b. Label the x- and y-axes and include units c. Include your name in the filename d. Upload to CANVAS b. Determine the Elastic Modulus, E. c. Read the yield stress off the graph, σy. d. Read the ultimate stress off the graph, ou. e. Read the fracture stress off the graph, of. Round your final answers to 3 significant digits/figures. 1. upload your EXCEL file (or MATLAB…
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The following data was obtained from a tensile test on Load (kN) 16 32 56 72 95 110 132 142 140 135 Extension (mm) 0.2 0.4 0.7 0.9 1.5 2.5 5.0 8,5 10.0 12.0 a specimen of 10mm diameter and gauge length 60mm. Using the graph paper supplied, plot the load-extension diagram and determine: (1) The tensile strength (2) 0.1% Proof Stress (3) Young's Modulus for the specimen
3. A strip of chicken skin was excised for mechanical testing in tension. The initial dimension of the rectangular specimen was 30 mm long and 15 mm wide, with average thickness of 3 mm. The mechanical testing was conducted at a rate of 5 mm/sec. The following data were obtained: gauge length, mm 20 22 24.2 26.3 27.9 30.1 force, N 0 0.8 2.7 7.9 12.9 19.6 a. Calculate the engineering stresses and strain from the information given and plot the stress-strain curve. Assume that 5 mm of the specimen length is clamped by the testing grip at each end, such that the initial gauge length of the specimen is 20 mm.

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