. In a tensile test of a cylindrical specimen with an initial diameter of 12 mm, the loads at 15 and 25% engineering strain are recorded to be 3 and 3.3 kN, respectively. If the flow curve of the above specimen is represented by the Hollomon parabolic stress-strain relation, neglect elastic strain and calculate the following (a) % Uniform elongation. (b) UTS. (c) 0.2% Offset yield strength.

. In a tensile test of a cylindrical specimen with an initial diameter of 12 mm, the loads at 15 and 25% engineering strain are recorded to be 3 and 3.3 kN, respectively. If the flow curve of the above specimen is represented by the Hollomon parabolic stress-strain relation, neglect elastic strain and calculate the following (a) % Uniform elongation. (b) UTS. (c) 0.2% Offset yield strength.

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

The relationship between true strain (ɛ-) and engineering strain (ɛ) in a uniaxial tension test is given as (a) & = In (1 + &7) (c) &7= In (1+ E) (b) ɛg = In (1- E) (d)= in (1- E) %3D %3D
The following stress-strain curve was prepared based on a tensile test of a specimen that had a circular cross-section. The gage diameter of the specimen was 0.25 inches and the gage length was 4 inches. The stress scale of the stress-strain diagram is given with the factor a = 10 ksi. Estimate: (a) The modulus of elasticity. (b) The ultimate strength. (c) The yield strength (0.2% offset). (d) The percent elongation at fracture. 2013 Michael Swanbom STRESS VS. STRAIN BY NC SA 7a bat Sat 2at at 0.05 STRAIN 0.01 0.04 0.06 0.08 0.02 0.03 0.07 0.09 STRESS
%VY lI. photo_202... -> 200 stress (MPa) 150 100 50 0.1 0.2 strain From the tensile stress -strain behavior for the brass specimen ,0 the diameter is 12-8 mm Calculat e the followWing:- |- The Yield stress, 2-Modulus of elasticity. 3- The Tensile strength .
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?
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.
The data below are for a thin steel wire suitable for use as a guitar string. Ultimate tensile stress: 1.8 x 109 Pa Young Modulus: 2.2 x 1011 Pa Cross-sectional area: 2.0 x 10-7 m2 In a tensile test, a specimen of the wire, of original length 1.5 m, is stretched until it breaks. Assuming the wire obeys Hooke’s law throughout, calculate the extension of the specimen immediately before breaking.
A ceramic part for a jet engine has a yield strength of 66,215 psi and a plane strain fracture toughness of 5000 psi (in) ¾. To be sure that the part does not fail, we plan to assure that the maximum applied stress is only one-third the yield strength. We use a nondestructive test that will detect any internal flaws greater than 0.05 in. Iong. Assuming that f = 1.2 , does our non- destructive test have the required sensitivity? Type 1 for yes and O for no.
For a piece of copper alloy, a standard stress test was applied to it, the following data was collected, from which a stress-strain diagram must be generated, where as data it is known that the initial diameter of the element is 0.505in. The analysis must include the following: 1.Modulus of Elasticity and modulus of resilience. 2.Percentage of elongation. 3.Percentage of area reduction. 4.Real and engineering stress at fracture. It is known that after the specimen fractures, its dimensions in terms of length and diameter are 3.014 and 0.374in, respectively.
A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lb - in per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.
A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in.in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lblb - in.in. per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.
(a) A core sample having length to diameter ratio of 2.5 experienced a strain of 0.94 after being stretched. If the core had an initial length of 8 cm and was able to withstand a load of 500 N before breaking, calculate: The resulting length before failure The tensile strength (b) If the core sample above is subjected to a uniaxial compression test resulting in load, axial deformation and circumferential deformation of 350 N, 1.5 and 0.47 respectively at failure, calculate: The uniaxial compressive strength, σc The Young’s modulus, E The Poisson’s ratio,μ
A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lb - in. per foot without suffering permanent deformation. 4.46x106 3.71x106 5.57x106 2.97x106 1.86x106