Given: Stress strain curve of 10 mm diameter and 1 m long ductile stainless-steel rod.900800700600500Mild400Stainless300200 -1000.10.20.30.4Strain0.50.60.7Draw stress-strain curve for compression here1. Label all points of significance on the stress strain curve2. Draw the stress-strain curve for the rod in compression and label all points of significance.3. What is the Young's modulus in tension? Assume .001 strain at 500 MPa4. What is its Youngʻs modulus in compression?5. What is the tensile yield strength of this rod using the 0.2% offset criteria?6. What is the compressive yield strength of the rod?7. What is force required to yield the rod?.Show calculation:8. What is the UTS of this rod?.9. What is the force required to break the rod?Show calculation:10. What will be UCS of the rod?Stress (MPa)

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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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Q3b. The stress-strain characteristic curves for materials A, B and C are shown below. Which one statement most accurately describes the relative toughness and ductility for materials A, B & C? Material A Material B Material C Strain Select one: a. Material A has low toughness, Material B has high ductility and Material C has low toughness. b. Material A has high toughness, Material B has low ductility and Material C has low toughness. c. Material A has low ductility, Material B has low toughness and Material C has low toughness. d. Material A has high ductility, Material B has low toughness and Material C has high toughness. Stress
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…
Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?
? (sigma) = 90 40 0 40 −50 0 0 0 0 MPaa. Plot the shear and normal stresses on a given oblique plane (rotated plane) on a graph (stress vs. angle) and show the max. shear plane and the principal planes. (like in the image, using excel) b.If the steel sample has a Young’s modulus of 193 GPa, compute the dimensional changes of the plate under the above loading condition. Shear moduli is 70Gpa.
8. A cylindrical bar of steel with a diameter of 10 mm is deformed elastically by applying a force along the bar axis. Determine the force that produces an elastic reduction in diameter of 3 X 10-³ mm. You may use material properties given in Table 6.1 below. Table 6.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Metal Alloys Metal Alloy Aluminum Brass Copper Magnesium Nickel Steel Titanium Tungsten GPa 69 97 110 45 207 207 107 407 Modulus of Elasticity 10 psi 10 14 16 6.5 30 30 15.5 59 Shear Modulus GPa 25 37 46 17 76 83 45 160 10° psi 3.6 5.4 6.7 2.5 11.0 12.0 6.5 23.2 Poisson's Ratio 0.33 0.34 0.34 0.29 0.31 0.30 0.34 0.28
A tension test was performed on a specimen having an original diameter of 12.5 mm and a gage length of 50mm. The data are listed in the table below: Complete the following: Plot the stress-strain curve. Label the y-axis every 50 MPa, and the x-axis every 0.05 mm/mm. Plot the linear portion of the stress-strain curve (first 5 points). Label the y-axis every 50 MPa, and the x-axis every 0.001 mm/mm. Determine the approximate Modulus of Elasticity Determine the approximate Ultimate Stress Determine the approximate Fracture Stress Determine the approximate Modulus of Resilience Determine the approximate Modulus of Toughness Other Requirements: Provide an example hand-written calculation showing how you calculated one point on the curve. Remember to properly label your plots and provide axis labels with units. Hand sketched plots will not be accepted. Use Excel or similar software.
Problem No. 2 The above load-elongation data were obtained for a specimen with Lo = 0.1 m and ro 7 mm. Plot the stress-strain data and determine the E, G, and of Load (KN) 0.0 12.8 36.7 43.5 47.0 50.1 61.4 71.6 74.2 71.6 67.6 Elongation (mm) 0 0.0201 0.0690 0.1173 0.1898 0.2864 1.1684 3.5052 7.3025 10.2235 13.7287
In a standard tensile test a steel rod of 7/8 in. in diameter is subjected to a tension force of 17 kips. Determine the ratio of the shear modulus to the modulus of elasticity of a material whose Poisson's ratio is 0.25.
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
A carbon steel ball with 27-mm diameter is pressed together with an aluminum ball with a 35-mm diameter by a force of 11 N. Determine the maximum shear stress and the depth at which it will occur for the aluminum ball. Assume the figure given below, which is based on a typical Poisson's ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress occurs for these materials. Ratio of stress to Pma σ. T 1.0 0.8 0.6 0.4 0.2 0 J₂, J₂ 0.5a σ₂ Tmax a 2a Distance from contact surface 1.5a 2.5a 3a The maximum shear stress is determined to be 134.6 Z MPa. The depth in the aluminum ball at which the maximum shear stress will occur is determined to be 0.0519 mm.
A specimen of titanium alloy is tested in torsion and the shear stress–strain diagram is shown in Fig.a. Determine the shear modulus G, the proportional limit, and the ultimate shear stress. Also, determine the maximum distance d that the top of a block of this material, shown in Fig. b, could be displaced horizontally if the material behaves elastically when acted upon by a shear force V. What is the magnitude of V necessary to cause this displacement?
. From the tensile stress-strain behaviour for a casted iron as shown in the following curve. Please answer the following questions (1) Estimate the modulus of elasticity, (2) Calculate the change in length of a specimen with original length of 100mm that is subjected to a tensile stress of 300MPa. (Hint: Using the Hooke's law to get the strain.) 600 500 400 - 300 - 200 - 100 - 2 4 6. 8 10 12 14 16 Strain Strength (MPa)

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1. Label all points of significance on the stress strain curve 2. Draw the stress-strain curve for the rod in compression and label all points of significance. 3. What is the Young's modulus in tension? Assume .001 strain at 500 MPa