A specimen is originally 300 mm long, has a diameter of 14 mm, and is subjected to aforce of 2.5 kN. When the force is increased from 2.5 kN to 7.5 kN, the specimenelongates 0.205 mmPart ADetermine the modulus of elasticity for the material if it remains linear elastic.Express your answer to three significant figures and include the appropriate units.HẢ?ValueGPaE =SubmitRequest AnswerProvide Feedback

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Answered: A specimen is originally 300 mm long,…

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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2. A 10 mm diameter cylindrical specimen of an aluminium alloy is loaded in uniaxial tension in a testing machine. a) If the specimen begins to yield at a load of 30 kN, what is the yield stress of the material? b) At the point where yielding begins, the measured increase in length between two points initially 50 mm apart is 0.27 mm. At what strain does yielding occur? c) If the load-deflection curve is linear up to the yield point, what is the elastic modulus of the material? d) If the diameter of the specimen was reduced by 18 um at the yield point, what is the Poisson's ratio of the material? [ans.: (a) 382 MPa; (b) 5.4E-3; (c) 70.7 GPa; (d) 0.333]
A specimen is originally 300 mm long, has a diameter of 14 mm, and is subjected to a force of 2kN. When the force is increased from 2kN to 8kN, the specimen elongates 0.225 mm. Determine the modulus of elasticity for the material if it remains linear elastic. Express the answer to three significant figures and include the appropriate units.
Read and Solve carefully please Write clearly and Box the Final answer Express your answer to 3 Significant figures and include appropriate units. QUESTION : A long slender two-force member of cross-sectional area 2.17 mm2 is preloaded with a tensile force of 0.44 kN. A strain gauge is then applied to the member which is subject to time-varying loading with reading varying from -241 micro-strain to 50 micro-strain. Determine the minimum stress in the member in units of MPa.
A bronze alloy specimen having a diameter of 12.8 mm and a gage length of 50 mm was tested to fracture. Stress and strain data obtained during the test are shown. Determine the fracture stress. Stress (MPa) 50 40- 30- 20- 10- 0 0 0 Upper scale O 59 MPa O 24 MPa O 40 MPa O 50 MPa O 33 MPa 0.100 0.005 Lower scale 0.200 0.010 Strain (mm/mm) 0.300 0.015 0.400 0.020
640 480 160 0.002 0,004 0.006 0.008 0.010 Strain (mm/mm) A tensile test specimen of Aluminum alloy having a gauge length of 280 mm was tested to fracture. Stress and strain data obtained during the test are shown in the attached Figure. **Answers are approximate - do your best to read the graph. Determine: (a) the modulus of elasticity in GPa (4sigs). Enter this value into D2L answer box. (b) the proportional limit in MPa (3sigs). (c) the ultimate strength in MPa (3sigs). (d) Ductility of material based on percent elongation. (3sigs) Your Answer: Stress (MPa)
A tensile test specimen of stainless steel alloy having a diameter of 0.495 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the true fracture stress if the final diameter of the specimen at the location of the fracture was 0.350 in. Stress (ksi) 120 Upper scale Lower scale H 0.0 0.020 0.040 0.060 0.080 0.100 0.120 0.0 0.002 0.004 0.006 0.008 0.010 0.012 Strain (in./in.) 90 60 30 0- 300 ksi O 126 ksi EA O 237 ksi O 202 ksi O 261 ksi
Stress Strain Diagram The Data shown in the table have been obtained from a tensile test conducted on a high-strength steel. The test specimen had a diameter of 0.505 inch and a gage length of 2.00 inch. Using software. plot the Stress-Strain Diagram for this steel and determine its: A= TTdT(050s A %3D 1. Proportional Limit, 2. Modulus of Elasticity, 3. Yield Strength (SY) at 0.2% Offset, 4. Ultimate Strength (Su), 5. Percent Elongation in 2.00 inch, 6. Percent Reduction in Area, 7. Present the results (for Steps 1-6) in a highly organized table. e Altac ie sheet (as problelle 4 A = 0.2.002 BEOINNING of the effort Elongation (in) Elongation (In) Load Load #: #3 (Ib) (Ib) 1 0.0170 15 12,300 0.0004 1,500 16 12,200 0.0200 0.0010 3. 3,100 17 12,000 0.0275 0.0016 4,700 18 13,000 0.0335 5. 6,300 0.0022 19 15,000 0.0400 0.0026 6. 8,000 20 16,200 0.055 0.0032 9,500 21 17,500 0.0680 0.0035 8. 11,000 22 18,800 0.1080 0.0041 11,800 23 19,600 0.1515 0.0051 24 20,100 0.2010 10 12,300 0.0071 25…
A specimen is originally 1.5 ft long, has a diameter of 0.7 in., and is subjected to a force 550 lb. When the force is increased to 1900 lb, the specimen elongates 0.9 in. Determine the strain on the specimen and the modulus of the material. a. Strain Answer: _______ in./in. b. Modulus of Elasticity Answer: _______ ksi
A piece of steel rebar is tested in tension to determine its mechanical properties. The length of the sample is 87.3 mm and the cross-sectional area is 52.1 mm². When stretched by 37.2 mm, the force measured is 14,884 N. At this point, the graph is non-linear, but no clear neck is visible. If the Poisson's ratio of the material is 0.281, calculate the cross-sectional area (mm²) at this point.
A tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the ultimate strength. Stress (ksi) 60 50- 40- 30- 20 10- 0 0 0 Upper scale O 66 ksi 28 ksi O 72 ksi O 53 ksi O 62 ksi Lower scale. 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.002 0.004 0.006 0.008 0.010 0.012 0.014 Strain (in./in.)
the material had a tensile stress of 67.7 ksi then was unloaded. the original length of the specimen was 5.0 inches. show the line on the diagram you would expect the material to follow as the load was released. estimate the length of the specimen after all load was removed.
A steel column is a cylinder 6.8 m long and 0.35 m in diameter. What is the change in length of the column when it experiences a tensile stress resulting from the application of a 3600 N force? The elastic modulus for steel is 20 × 1010 Nm2/kg2. ΔL = m

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