Q1) A ductile solid rod, of initial area (25mm²) and initial gauge length (8cm), show thistabular data during simple tension processTensile load in (N)Elongation (mm)4220.031017.71224317.334033.52544225.64783957.952845.46567.6031Determine the hardening parameters (n, k) of this rod numerically.(50M)

Step 1: Step 2: Step 3: Step 4:

Answered: Q1) A ductile solid rod, of initial…

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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6. The following engineering stress-strain data were obtained for 0.2% C plain carbon steel. (a) Plot the engineering stress-strain curve (b) Determine the ultimate tensile strength for the alloy (c) Determine the percent elongation at fracture (d) Plot the true stress-strain curve Engineering strain, in./in. Engineering stress, ksi 30 0.001 55 0.002 60 0.005 68 0.01 72 0.02 74 0.04 75 0.06 76 0.08 75 0.1 73 0.12 69 0.14 65 0.16 56 0.18 51 0.19(fracture)
The following data were obtained from the tensile test of Aluminum alloy. The initial diameter of testspecimen was 0.505 inch and gauge length was 2.0 inch. Plot the stress strain diagram and determine(a) Proportional Limit (b) Modulus of Elasticity (c) Yield Stress at 0.2% offset (d) Ultimate Stress and(e) Nominal Rupture Stress.
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Cyclic Stresses (Fatigue); The S-N Curve 4. The fatigue data for a ductile cast iron are given as follows: Cycles to Failure Stress Amplitude [MPa (ksi)] 248 (36.0) 236 (34.2) 224 (32.5) 213 (30.9) 201 (29.1) 193 (28.0) 193 (28.0) 193 (28.0) 1 × 105 3 x 105 1 x 10⁰ 3 x 106 1 x 107 3 x 107 1 108 3 × 108 (a) Make an S-N plot (stress amplitude versus logarithm cycles to failure) using these data. (b) What is the fatigue limit for this alloy? (c) Determine fatigue lifetimes at stress amplitudes of 230 MPa (33,500 psi) and 175 MPa (25,000 psi). (d) Estimate fatigue strengths at 2 × 105 and 6 × 106 cycles.
Question 5: Following is tabulated data that were gathered from a series of Charpy impact tests on a tempered 4140 steel alloy. Temperature (°C) 100 75 50 25 0 -25 -50 -65 -75 -85 -100 -125 -150 -175 Impact Energy (J) 89.3 88.6 87.6 85.4 82.9 78.9 73.1 66.0 59.3 47.9 34.3 29.3 27.1 25.0 (a) Plot the data as impact energy versus temperature. (you can use Excel or other software). (b) Determine a ductile-to-brittle transition temperature as that temperature corresponding to the average of the maximum and minimum impact energies. (c) Determine a ductile-to-brittle transition temperature as that temperature at which the impact energy is 70 J.
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Following are tabulated data that were gathered from a series of Charpy impact tests on a tempered 4140 steel alloy. Temperature (°C) Impact Energy (J) 100 89.3 75 88.6 50 87.6 25 85.4 82.9 -25 78.9 -50 73.1 -65 66.0 -75 59.3 -85 47.9 -100 34.3 -125 29.3 -150 27.1 -175 25.0 (a) Determine a ductile-to-brittle transition temperature as that temperature corresponding to the average of the maximum and minimum impact energies. (b) Determine a ductile-to-brittle transition temperature as that temperature at which the impact energy is 70 J. (a) i °C (b) і °C
An S-N plot from fatigue testing of a steel is provided below. Use the plot to determine the following values for this steel. 1. Fatigue limit: 2. Fatigue lifetime at a stress amplitude of: 415 MPa: 275 MPa: 3. Fatigue strength at: 5x104 cycles: 5x105 cycles 500 400 300 200 100 0 1.E+04 Stress Amplitude (MPa) 1.E+05 1.E+06 Cycles to Failure 1.E+07 1.E+08
Calculate the young’s modulus from one of these two graphs?
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1. Suppose that you have measured the strain aging kinetics of a high-strength low-alloy (HSLA) steel and obtained the following results: Aging Temperature (°C) Aging Time (min) ΔΥ (MPa) 150 240 40 130 1800 40 Determine (using a mathematical rather than graphical approach) the time necessary to obtain a strengthening increment, AY, of 40 MPa at an ageing temperature of 120°C. State any assumptions made in order to arrive at your approximation.

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