The shear modulus. G. of a material can be determined by applying a torque. T, on a cylindrical material specimen and measuring the angular twist, 0.The modulus can then be calculated from: Geach measured variable (L. T.t. 0, R) is 3.4%.3LT2 Reewhere R and Lare the specimen radius and length, respectively. The relative uncertainty inWhat is the total relative uncertainty in G?(Provide your amwer as a percentage using two decimal places. Do not include the % symbol.)1226

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The shear modulus, G, of a material can be determined by applying a torque. T, on a cylindrical material specimen and measuring the angular twist. 0. The modulus can then be calculated from: G each measured variable L. T.t.0, R) is t3.4%. 3LT 2 Ree where R and Lare the specimen radius and length, respectively. The relative uncertainty in What is the total relative uncertainty in G? Provide your omwer as a percentage using two decimal places. Do not include the % symbol.) 12.26

The shear modulus, G, of a material can be determined by applying a torque. T, on a cylindrical material specimen and measuring the angular twist. 0. The modulus can then be calculated from: G each measured variable L. T.t.0, R) is t3.4%. 3LT 2 Ree where R and Lare the specimen radius and length, respectively. The relative uncertainty in What is the total relative uncertainty in G? Provide your omwer as a percentage using two decimal places. Do not include the % symbol.) 12.26

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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The shear modulus, G, of a material can be determined by applying a torque, T, on a cylindrical material specimen and measuring the angular twist, 0. The modulus can then be calculated from: G the specimen radius and length, respectively, The relative uncertainty in each measured variable (L. T, t. 0. R) is + 3.7% 3LT where R and L are %3D 2 Ree What is the total relative uncertainty in G?
The modulus of rigidity (shear modulus) of a circular Cast Iron specimen subjected to a torsion test is: During Elastic Zone Angle of twist (°) TD Specimen Specimen Torque 2J Radius Length (N.m) 2.5 15 rp Y = L 3 mm 50 mm 10.8 20 Select one: O a. 88.39 GPa. O b. 13.586 GPa. O c. 236.73 MPa. O d. 236.73 GPa.
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
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.
Home work for tensile test The following data was obtained from a tensile test on 135 Load (kN) Extension (mm) 16 32 56 72 95 110 132 142 140 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
A tensile test was performed to find the stress-strain curve of a metal sample.Here are the results provided by the tensile testing machine.Suppose the results are free of errors. Elongation, 0 AL (cm) Applied force , F(N) 4.086 5.448 2.724 6.81 1.362 55571.1 61710.1 52930.5 68018.1 39498.3 Additional information : Lo : the length of the extensometer Lo = 5.42 cm A= 5.342 Questions : a) At. Using the 0.2% yield strength method, calculate the tensile strength of the metal sample. b) Find the modulus of resilience of the material under test. c) Calculate the allowable load for an object made of this metal using the parameters following: * Maximum stress: elastic limit Cross section: 10 mm2 Safety factor (or margin): 7 Calculate numerically with a minimum of four decimal places.
STATICS AND STENGITH OF MATERIALS Question: Load (kip) Elongation (in.) 0 0 A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gage length of 2.00 in. The data is listed in the table beside. 1.50 0.0005 4.60 0.0015 8.00 0.0025 11.00 0.0035 11.80 0.0050 1. Plot the stress-strain diagram (better to use a software like MS Excel) and determine approximately 11.80 0.0080 12.00 0.0200 16.60 0.0400 a. the modulus of elasticity, 20.00 0.1000 21.50 0.2800 b. the yield stress, 19.50 0.4000 18.50 0.4600 c. the ultimate stress, d. the fracture stress. Use a scale of 1 in. = 20 ksi and 1 in. = 0.05 in.>in. 2. Redraw the elastic region (on the same graph), using the same stress scale but a strain scale of 1 in. = 0.001 in.>in.
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.
tensile test PCKN) AL (Mm) Dimensions of the sample be fore e xamin ation 4.12 0. 29 D= 9.5mm L=50 7.64 0.55 12 0.91 15, 8 4 l.27 19.5 1.6 2५.3 2. 11 28 3.5 Dimensions of the sample after exam ination 31.2 5.25 d - 5.7 33.6 2=? 35 8.75 35.7 1o.5 36 12.2 31.5 15.7 27.8 15.8
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.
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…