U4.2 – Stress & Strain

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Stress and Strain

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A wire has a diameter of 0.5 mm and a breaking stress of the wire is 7.4x1010 Nm-2. Calculate the mass that would break the wire. g = 9.81 ms-2

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A wire of 1.2 m extends a 3 mm when a load of 20 N is applied to it. Calculate it's strain.

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A stress-strain graph is shown above for an unknown material. Where on the curve would you mark the UTS point?

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The graph above shows a fishing wire being extended by adding masses. Use the graph to estimate the elastic strain energy of the material.

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A copper wire has a length of 25 cm and a force of 400 N is applied to the wire, which causes it to stretch to 28.9 cm. Calculate the elastic strain energy stored in the wire.

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A wire has a diameter of d and a when a force of F is applied, it breaks at σ. What would the value of σ be if the diameter was halved?

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A new material is developed and the research team want to know the amount of elastic strain energy it can store. They test the material multiple times and plot a graph with the averages. Estimate from the graph the elastic strain energy that is stored in the wire up to the limit of proportionality.

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Select the graph with the correct labels.

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Which material on the graph above is the weakest?

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Which material on the graph above is the stiffest?

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Which material on the graph above is the strongest?

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A 500 mm material undergoes a strain of -3.2%, when measured what is the materials length?

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