Example: Consider a metal whose strain hardeningbehavior follows: 25,000 0.25 psi.If an annealed bar of this metal is pulled in a tensiontest from a starting dia. of 12.7mm to a dia. of 11.5mm(uniform elongation, no friction, no distortion), what isthe work per unit volume required?If the bar is reduced by extruding and the deformationefficiency is 70%, what is the extrusion pressure?

Extrusion pressure Explanation:Step 1: Step 2: Step 3: Step 4:

Answered: Example: Consider a metal whose strain…

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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Example: - 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. (d) ) % Uniform reduction of area and (ii) % uniform true reduction of area. (e) True toughness in the plastic range up to the point of tensile instability.
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?
Case Study Calculate the Tensile Toughness Tensile toughness measures the total energy absorbed prior to fracture and is different from fracture toughness and impact toughness. Fracture toughness measures the resistance to fracture when a flaw (i.e. crack) is present in the material. Since it is nearly impossible and costly to manufacture materials with zero or near zero defects, fracture toughness is a major consideration for all structural materials. Impact toughness measures a materials ability to withstand an impact blow (i.e. high strain rates) and is particularly important in assessing the ductile-to-brittle transition behavior (more details later). Impact toughness is also commonly referred to as notch toughness. The tensile toughness can be estimated using the stress-strain curve by measuring the area under the curve (both the elastic and plastic regions). Tensile Toughness = f Stress, σ Ty- Ey Efracture ETS Ur Ey Efracture o de = U₁ + SETS o de + Sefracture o de Ey Ey o de =…
%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 .
Two cylindrical specimens of an alloy are to be strain hardened by reducing their cross- sectional areas. for one specimen. the initial and deformedradii are 17 mm and 12 mm, respectively. The second specimen. with an initial radius of 13 mm, must have the same deformed hardness as the firstspecimen What is the second specimen's radius affer deformation”
specimen of stainless steel having a diameter of 12.8mm and gauge lengh of A cylindrical the following: (6) Extend the table to include engincering strain and engineering stress and plot the Engineering stress-strain curve Determine the yield stress at 0.002 strain offset (i1) (in) Determine the Modulus of Elasticity What is the tensile strength of the Alloy? What is the ductility in percent elongation: What is the Modulus of Resilience? (iv) (v) (vi) ble 1. Load-Extension Test Data of Stainless Stee! LOAD (N) LENGTH(mm) 50.800 50.825 12700 25400 38100 50800 76200 89100 92700 102500 107800 119400 128300 50.851 50.876 0001 50.902 50.952 51.003 CCOn 12-8 51.054 51.181 51.308 51.562 51.816 149700- 52.832 159500- 53.848 160400 54.365 159500- 151500 124700 14. 54.864 55.880 56.642 1 000 05 Pcu/coer 0.00
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.
3.Strain hardening is associated with hot working process. Select one: True False
200 stress 150 (MPa) 100 50 0.1 0-2 strain From the tensile stress-strain behavior for the brass specimen the diameter is 12-8 mm Calcalate the folluwing:- %3B 1- The Yield stress. 2-Modulus of elasticity. 3 - The Tensile strength.
A square specimen of is loaded using a three-point bend test. The load during the test is 419.6 N while the separation between the load points is 53.1mm. The flexural strength of MgO is equal to 103.4MPa . Compute the minimum possible thickness the specimen should have to avoid fractures during the bend test. Round your answer to three significant figures.
In True stress-true-strain curve in tension of solid metal cylinder 45 mm high and 8 mm in diameter, two pairs of values of stress and strain were given for the specimen metal after it had yielded (1) true stress = 217 MPa, and true strain = 0.35; and (2) true stress = 259 MPa, and true strain = 0.68. Based on these data points, determine the following: a) The average flow stress that the metal experiences if it is subjected to a stress that is equal to its strength coefficient K. b) The work done that the metal experiences if it is subjected to elongation in height of 45% c) If during the deformation the relative speed = 20 mm/s, determine the strain rate at h = 50 mm and h = 70 mm.
The stress for low alloys steel at which plastic deformationbegins Is 475 MPa, and the modulus or elastlcity ls 315 PA What is the maximum load that may be applied to a specimenwith a eras sectional area of 300 mm2 without plastic deformed If the original specimen length is 120 mm what is the maximumlength to with may be stretched without causing plastic deformation?

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