The principal plane stresses and associated strains in a plane at a point are 0₁ = 35 ksi, 0₂ = 15 ksi, ₁ = 1.02(10-3), 2 = 0.180(10-³). ▼ Determine the modulus of elasticity. Express your answer using three significant figures and include the appropriate units. E = Submit Part B V= μÀ Value S Submit Request Answer Determine the Poisson's ratio. Express your answer using three significant figures. DVD| ΑΣΦ | Units Request Answer ? vec ?

The principal plane stresses and associated strains in a plane at a point are 0₁ = 35 ksi, 0₂ = 15 ksi, ₁ = 1.02(10-3), 2 = 0.180(10-³). ▼ Determine the modulus of elasticity. Express your answer using three significant figures and include the appropriate units. E = Submit Part B V= μÀ Value S Submit Request Answer Determine the Poisson's ratio. Express your answer using three significant figures. DVD| ΑΣΦ | Units Request Answer ? vec ?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.4P: An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy =...

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A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
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…
Q. // (A) - An element of bone in plane strain where the state of strain are (Ex = 8 × 10¬4, €y = 5 × 10¬4, Yxy = 12 × 10-4). Find (a) the stresses at orientation a counterclockwise angle (40 deg.) from the x-axis, b) the strain energy and (c) the failure stress by Von Misses criteria. Known Modulus of elasticity = 2 × 10° N /m² and Poisson's ratio = 0.3
Part B Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Determine the modulus of elasticity. VO AEO vec ? E = ksi Submit Request Answer Figure 1 of 1 Part C σ (ksi) e (in./in.) Determine the modulus of resilience. ΑΣφ ? vec 33.2 0.0006 45.5 0.0010 in-lb Up = in 49.4 0.0014 51.5 0.0018 Submit Request Answer 53.4 0.0022
Determine the elastic modulus and the yield strength for the material having the stress-strain curve shown. Use the 0.2% offset method. 1600 1400 1200 E 1000 800 600 400 200 0.5 1 1.5 2 Strain, percent Elastic modulus: (Express your answer in whole numbers.) E = ksi Yield strength: (Express your answer using three significant figures.) Sy = ksi Stress, psi
The rod has a diameter of 40 mm. (Figure 1) It is subjected to the force system F = 1390 N, Fy = 510 N, F₂ = 835 N. Figure 5 300 mm 100 N-m F₂ 100 mm B 1 of 1 Determine the normal stress that acts at point B. Express your answer to three significant figures and include appropriate units. OB = Submit Part B (TB)xy 0 = μÅ Value Request Answer Determine the shear stress Try that acts at point B. Express your answer to three significant figures and include appropriate units. 0 μᾶ Units Value ? Units ?
Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.
The frame supports the distributed load shown. Determine the state of stress acting at point E. (Figure 1) Figure 4 kN/m D. -1.5 m 1.5 m- -3 m 3m BA 20 mm 60 mm 20 mm 5m < 1 of 1 D E 50 mm Determine the normal tensile stress at point E. Express your answer using three significant figures and include the appropriate units. OE= Submit Part B μA TE= Value 1 Request Answer Value Units ELECT moord Determine the shear stress at point E. Express your answer using three significant figures and include the appropriate units. ? Units ?
1. We can visualize the factor of safety for an arbitrary stress using a surface in principal stress space. For a ductile material that yields according to a von Mises criterion with a yield stress σy, sketch the von Mises surface in σ₁ - 02 space and sketch the stress surface that corresponds to a factor of safety FoS = 2. For a brittle material that yields according to a max normal (Rankine) criterion with a tensile strength Gyt and a compressive strength σvc = 20yt, sketch the yield surface and the surface that corresponds to a factor of safety FoS = 2.
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A tension test was performed on a steel specimen having an original diameter of 12.5 mm and gauge length of 50 mm. The data is listed in the table. Plot the stress–strain diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the rupture stress. Use a scale of 25 mm = 140 MPa and 25 mm = 0.05 mm/mm. Redraw the elastic region, using the same stress scale but a strain scale of 25 mm = 0.001 mm/mm.