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The proportional limit is the point at which stress is no longer directly proportional to strain in a material, marking the end of linearly elastic behavior. While it often closely aligns with the elastic limit, a material may exhibit a region of nonproportional elasticity between these two points. Beyond the proportional limit, Hooke's Law no longer applies, and deformations become permanent. This concept is crucial in understanding how materials respond to applied forces and is a key factor in engineering design.12

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