v Elastic Recovery After Plastic Deformation 5. A cylindrical specimen of a brass alloy 7.5 mm (0.30 in.) in diameter and 90.0 mm (3.54 in.) long is pulled in tension with a force of 6000 N (1350 lbf); the force is subsequently released. (a) Compute the final length of the specimen at this time. The tensile stress-strain behavior for this alloy is shown in Figure below. (b) Compute the final specimen length when the load is increased to 16,500 N (3700 lbf) and then released.

v Elastic Recovery After Plastic Deformation 5. A cylindrical specimen of a brass alloy 7.5 mm (0.30 in.) in diameter and 90.0 mm (3.54 in.) long is pulled in tension with a force of 6000 N (1350 lbf); the force is subsequently released. (a) Compute the final length of the specimen at this time. The tensile stress-strain behavior for this alloy is shown in Figure below. (b) Compute the final specimen length when the load is increased to 16,500 N (3700 lbf) and then released.

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

See similar textbooks

Similar questions

A 3-mm-long gold alloy wire intended to electricallybond a computer chip to its package has an initial diameter of30 μm. During testing, it is pulled axially with a load of 15grams-force. If the wire diameter decreases uniformly to29 μm, compute the following:a. The final length of the wire.b. The true stress and true strain at this load.c. The engineering stress and strain at this load.
3. A cylindrical specimen of a metal alloy 10 mm in diameter is stressed elastically in tension. A force of 3370 Ibr produces a reduction in specimen diameter of 7 x 103 mm. Compute Poisson's ratio for this material if its elastic modulus is 100 GPa. 4. A cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original and final diameters are 20.000 and 20.025 mm, respectively, and its final length is 74.96 mm, compute its original length if the deformation is totally elastic. The elastic and shear moduli for this alloy are 105 GPa and 39.7 GPa, respectively.
A material has a linear elastic perfectly plastic stress-strain. A cylindrical specimen of that material having an initial length of 35 mm and a tadius of 7 mm is pulled until it elongates 0.8mm. a. Calculate the stain and the corresponding stress at that elongation value. b. Afterward, the specimen is released to zero stress level, how does the final length of the specimen compare with its original length? How much plastic deformation remains if it exists?
2. Consider a cylindrical nickel wire 0.08 in. in diameter and 1200 in. long. Calculate its elongation when a load of 300 N is applied. Assume that the deformation is totally elastic. 3. A cylindrical specimen of a metal alloy 10 mm in diameter is stressed elastically in tension. A force of 3370 Ibr produces a reduction in specimen diameter of 7 x 10* mm. Compute Poisson's ratio for this material if its elastic modulus is 100 GPa. 4. A cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original and final diameters are 20.000 and 20.025 mm, respectively, and its final length is 74.96 mm, compute its original length if the deformation is totally elastic. The elastic and shear moduli for this alloy are 105 GPa and 39.7 GPa, respectively.
During stress-strain test, the unit deformation at a stress of 35 MPa was observed to be 167 x 10^-6 m/m and at a stress of 140 MPa it was 667 x 10^-6. If the proportional limit was 200 MPa, what is the modulus of Elasticity (GPa)? What is the strain corresponding to a stress of 80 MPa?
Stress (MPa) 500 400 Consider the brass alloy for which the stress-strain behavior is shown in the Animated Figure 7.12. A cylindrical specimen of this material 9.9mm (0.3898 in.) in diameter and 98.8mm (3.890 in.) long is pulled in tension with a force of 9780N(2199/b). If it is known that this alloy has a value for Poisson's ratio of 0.35, compute (a) the specimen elongation, (b) the reduction in specimen diameter. Note: because the diameter decreases, enter a minus sign in your answer. Tensile strength 450 MPa (65,000 psi), Strain =0 Stress = 0 MPA Stress =0 psi 70 Strain = 0 Stress 0 MPA 60 Stress = 0 psi 103 psi 50 40 MPa Yield strength 300 250 MPa (36,000 psi) 40 30 200 200 20 100 10 100 0 0 T 10 P 0.10 0.20 Strain 10.065 0 0.30 0.40 30 20 10 Stress (10 psi)
A steel specimen 12mm diameter has gauge length 50mm. the steel specimen had tested via tensile test under maximum load 66KN with elongation 7.5mm, and the yield load of this specimen is 15KN with elongation 2.4mm. Calculate: 1- The engineering ultimate stress (ultimate tensile strength), and engineering strain at this point. 2- The engineering stress and strain at yield point. 3- The modulus of elasticity, and the modulus of resilience. 4- The final or fracture strain of a steel specimen, if you know that the final length of specimen after testing is 58.5mm. 5- The true stress and strain for ultimate point. any four point sir
(a) Two different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. Classify each material as brittle or ductile using your judgement.
(a) Two different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. i. Calculate the percent elongation and percent of area reduction in each specimen. a. Sample A b. Sample B
The figure below shows the tensile engineering stress-strain behavior for a steel alloy. (a) What is the modulus of elasticity? (b) What is the yield strength at a strain offset of 0.002? (c) What is the tensile strength? Stress (MPa) 600 500 400 300 200 100 T I 0.00 Stress (MPa) 0.04 500 400 300 200 100 0.000 0.08 0.002 Strain 0.004 Strain 0.12 I 0.006 0.16 0.20 In the previous problem, A load of 85,000 N (19,100 lbf) is applied to a cylindrical specimen of the steel alloy that has a cross-sectional diameter of 15 mm (0.59 in.). (a) Will the specimen experience elastic and/or plastic deformation? Why? (b) If the original specimen length is 250 mm (10 in.), how much will it increase in length when this load is applied?
Use the engineering stress strain diagram provided below to answer parts (A) to (H) below (the stress-strain diagram bas already been drawn for you): stress strain diagram 400 350 0 300 0 250 0 200 0 150.0 100.0 50.0 O 05 0 1 0.15 strain A. Determine the tensile strength of this alloy. B. show the elastic, plastic and total strain on the diagram stress (Mpa)
4. A cylindrical metal wire 2m long is loaded in tension, causing it to extend 15mm. Calculate the axial strain and represent you answer in terms of microstrain and % elongation. ● ● Draw a free body diagram (geometry & forces) Identify stress plane Calculate microstrain and % elongation and write it (with appropriate units) in the outlined box b) Based on your calculation, is this behavior typical of a ductile or brittle material? Check one box.