A tension test performed on a metal specimen to fracture produced the stress-strain relationship shown in Figure P1.14. Graphically determine the following(show units and all work):a. Modulus of elasticity within the linear portion.b. Yield stress at an offset strain of 0.002 m/m.c. Yield stress at an extension strain of 0.005 m/m.d. Secant modulus at a stress of 525 MPa.e. Tangent modulus at a stress of 525 MPa.7506004503001500.0020.0040.0060.0080.010.012Strain, m/mFIGURE P1.14Stress, MPa

(a) Modulus of elasticity within linear portion, We know that According to Hook's law," stress is…

Answered: A tension test performed on a metal…

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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After the yield region in the stress-strain curve the strength up to ultimate value because: -Molecules orientation in the direction of applied stress -Molecules fails to withstand the applied stress -Molecules orthogonal to the axis of applied force The following figure shows typical engineering tensile stress vs. strain curves, where: * Stress Strain - Points A, C, E and F correspond to the tensile strength and elongation at yield - Points A, B, D and F correspond to the tensile strength and elongation at break Points A, C, E and F correspond to the tensile strength and elongation at break
Sketch a representative stress-strain digrama for a ductile material showing the following on it (label the axis and provid units). 1- YIELD STRENGTH. 2- TENSILE STRENGTH. 3- FRACTURE POINT. 4- HARDENING PART. 5- SOFTENING PART. 6- A METHOD TO CALCULATE THE STIFFNESS. 7- A METHOD TO CALCULATE THE DUCTILITY.
An elastoplastic material with strain hardening has the stress-strain relation- ship shown in Figure P1.19. The yield point corresponds to 600 MPa stress and 0.003 m/m strain. a. If a bar made of this material is subjected to a stress of 650 MPa and then released, what is the permanent strain? 1000 800 S 600 400 200 0.02 0.04 0.06 0.08 Strain, m/m FIGURE P1.19 b. What is the percent increase in yield strength that is gained by the strain hardening shown in part (a)? c. After strain hardening, if the material is subjected to a stress of 625 MPa, how much strain is obtained? Is this strain elastic, permanent, or a combi- nation of hoth? Stress, MPa
1. Find the strain that results from a tensile force of 1000 N applied to a 10 m long aluminium bar having cross-sectional area of 4x10 m2. The modulus of elasticity of aluminium is 69 GN/m². 2 A resistance wire strain gauge having a nominal resistance of 350 2 is subjected to a strain of 500 micro-strain. Find the change in the value of resistance neglecting the piezoresistive effect.
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)
(d) Figure Q2 (d) shows a typical aluminum stress-strain curve. A mechanical engineer has to carry out a tensile test for a rod of aluminum that can withstand an applied force of 20kN. To ensure safety, the maximum allowable stress on the rod is limited to 400 MPa, which is below the yield strength of the aluminum. The rod must be at least 380 cm long and must deform elastically not more than 0.8 cm when the force is applied. Design the appropriate rod.
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…
For the stress-strain curves below, which statements are correct? Stress (MPa) 60 50 40 30 20 10 0 0 A B C. 1 2 3 4 Strain 5 6 7 8 a. The mechanical behavior shown in C is that of an elastomer with low elastic modulus b. While the deformation in polymer A is fully reversible until breakage, polymer B and C only display reversible deformation until 0.1X and 5x elongations respectively The mechanical behavior shown in B is that of an elastomer with low elasticity d. Polymer B and C have an elastic behavior whereas A has a plastic behavior e. The polymer with the necking behavior has the highest strength Of. The polymer with brittle nature is the one that possesses the highest elastic modulus
SECTION B- STRUCTURES-DR LARISA MALYSHEVA QB1 DIRECT STRESS Two round solid bars of different materials are connected (in parallel) and have a common tensile force, P, of 190 kN is applied,ras shown in Figure QB1. For each bar, determine the: a) b) Stress. Strain and Strain in the diameter. Use the following information. Clearly show all your derivations. The original length of each bar = 1.7m. %3D Steel Bar: 32mm Dia. Poisson's Ratio = 0.31 18mm Dia. Young's Modulus = 210 GPa %3D Steel Aluminium Bar Bar Common Connection Aluminium Bar: P = 190 kN Poisson's Ratio = 0.34 Young's Modulus = 68 GPa Fig QB1
2) Use the engineering stress strain diagram provided below to answer parts (A) to (H) below (the stress-strain diagram has already been drawn for you): stress strain diagram 400 350 0 300 0 250 0 200 0 150.0 100.0 50.0 00 0 05 01 0. 15 strain A. Determine the tensile strength of this alloy. B. show the clastic, plastic and total strain on the diagram stress (Mpa)
Mechanics of rigid bodies 3. A straight bar of uniform cross section is tested in tension. The bar’s cross sectional are is 6.5 square centimeter and a length of 4m. when the tensile load reaches 85kN, the total elongation is 2.5mm What is the stress and the modulus of elasticity of the bar
6. State your answers to the following questions.Strain Gauge represents the deformation of a material through a change in resistance. If so, explain how temperature will affect the strain gauge in the experimental environment.①:In this experiment, the Strain Gauge measures the strain in micro units. Explain one possible error factor when applying a load by hanging a weight on the material with the strain gauge attached. (Hint: It is easy to shake by hanging the weight using a thread)①:

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