Question

Mechanics of Materials: R.C. Hibbeler 3.6

The stress-strain diagram for a steel alloy having an original diameter of 0.6in. and a gage length of 5in. Is shown in the figure below a) Determine the modulus of resilience b) Determin the modulus of toughness

The plot shows the stress as a function of the strain. The strain is measured from 0 to 0.28 inch per inch on the x axis. The stress is measured from 0 to 80 kilopounds per square inch on the y axis. The stress linearly increases from approximately 42 kilopounds per square inch at almost zero strain to approximately 62 kilopounds per square inch at 0.05 inch per inch. Then, it increases as a curve concave downward to approximately 76 kilopounds per square inch at 0.18 inch per inch. After that, the stress decreases as a curve concave downward to approximately 57 kilopounds per square inch at 0.26 inch per inch. The elastic region of the curve is shown here using an exaggerated strain scale measured from 0 to 0.0035 inch per inch on the x axis. The stress linearly increases from the origin to 40 kilopounds per square inch at 0.001 inch per inch, and then it linearly increases to approximately 44 kilopounds per square inch at 0.0035 inch per inch.

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