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The stress–strain diagram for a steel alloy having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. Determine approximately the modulus of resilience and the modulus of toughness for the material.

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The stress–strain diagram for a steel alloy having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 90 ksi, determine the approximate amount of elastic recovery and the increase in the gauge length after it is unloaded.

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The stress–strain diagram for a metal alloy having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. Determine approximately the modulus of elasticity for the material, the load on the specimen that causes yielding, and the ultimate load the specimen will support.

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The σ–ε diagram for elastic fibers that make up human skin and muscle is shown. Determine the modulus of elasticity of the fibers and estimate their modulus of toughness and modulus of resilience.

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The strut is supported by a pin at C and an A-36 steel guy wire AB. If the wire has a diameter of 0.2 in., determine how much it stretches when the distributed load acts on the strut.

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A structural member in a nuclear reactor is made of a zirconium alloy. If an axial load of 4 kip is to be supported by the member, determine its required cross-sectional area. Use a factor of safety of 3 relative to yielding. What is the load on the member if it is 3 ft long and its elongation is 0.02 in.? Ezr = 14(10³) ksi, σᵧ = 57.5 ksi. The material has elastic behavior.

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A specimen is originally 1 ft long, has a diameter of 0.5 in., and is subjected to a force of 500 lb.When the force is increased from 500 lb to 1800 lb, the specimen elongates 0.009 in. Determine the modulus of elasticity for the material if it remains linear elastic.

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A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gauge length of 2.00 in. Using the data listed in the table, plot the stress–strain diagram and determine approximately the modulus of toughness.

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A tension test was performed on a steel specimen having an original diameter of 0.503 in. and a gauge length of 2.00 in. The data is listed in the table. Plot the stress–strain diagram and determine approximately the modulus of elasticity, the ultimate stress, and the rupture stress. Use a scale of 1 in. = 15 ksi and 1 in. = 0.05 in./in. Redraw the linear-elastic region, using the same stress scale but a strain scale of 1 in. = 0.001 in./in.

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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. Plot the diagram, and determine approximately the modulus of toughness. The rupture stress is σᵣ = 53.4 ksi.

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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. Plot the diagram, and determine the modulus of elasticity and the modulus of resilience.

7 viewssaamSolving Answered question 15 hours ago

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A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gauge length of 2.00 in. 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 1 in. = 20 ksi and 1 in. = 0.05 in./in. Redraw the elastic region, using the same stress scale but a strain scale of 1 in. = 0.001 in./in.

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If the normal strain is defined in reference to the final length, that is, ε′ₙ = limₚ→ₚ′ ( (Δs′ − Δs) / Δs′ ) instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, εₙ − ε′ₙ = εₙ ε′ₙ.

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The fiber AB has a length L and orientation θ. If its ends A and B undergo very small displacements uA and vB, respectively, determine the normal strain in the fiber when it is in position A′B′.

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The rubber block is fixed along edge AB, and edge CD is moved so that the vertical displacement of any point in the block is given by v(x) = (v₀/b³)x³. Determine the shear strain γxy at points (b/2, a/2) and (b, a).

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The nonuniform loading causes a normal strain in the shaft that can be expressed as εx = kx², where k is a constant. Determine the displacement of the end B. Also, what is the average normal strain in the rod?

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The rectangular plate is deformed into the shape shown by the dashed lines. Determine the average normal strain along diagonal BD, and the average shear strain at corner B.

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The rectangular plate is deformed into the shape shown by the dashed lines. Determine the average normal strain along diagonal AC, and the average shear strain at corner A.

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The wire is subjected to a normal strain that is defined by ε = (x/L)e^(−(x/L)²). If the wire has an initial length L, determine the increase in its length.

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The square plate ABCD is deformed into the shape shown by the dashed lines. If DC has a normal strain εx = 0.004, DA has a normal strain εy = 0.005 and at D, γxy = 0.02 rad, determine the shear strain at point E with respect to the x′ and y′ axes.

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