Elastic springs — name of energy stored on compression: The potential energy stored in a spring due to elastic deformation (compression or extension) is called strain energy. Is this statement correct?

Introduction / Context:
When elastic members deform under load, they store recoverable energy. In springs and many structural elements, this stored energy is central to vibration analysis, energy methods, and impact problems.

Given Data / Assumptions:

• The material obeys linear elasticity within the working range.
• Load is removed slowly so that energy recovery is not dissipated as heat (idealization).

Concept / Approach:
Strain energy is the energy stored in a body due to strain (deformation). For a linear spring of stiffness k compressed or stretched by x, the strain energy U is U = (1/2) * k * x^2. This energy can be converted back into kinetic energy when the spring is released, which is why springs are used to do mechanical work (e.g., in watches, valves, toys).

Step-by-Step Solution:
Identify the system: a spring under compression or tension.Recognize the energy form: recoverable potential energy due to elastic deformation.Name of this energy: strain energy (a category of potential energy).Hence, the statement is correct.

Verification / Alternative check:
Area under the load–deflection curve equals strain energy. For a linear spring: area of triangle = (1/2) * Force_max * Deflection = (1/2) * (k * x) * x = (1/2) * k * x^2, confirming the naming and formula.

Why Other Options Are Wrong:

• No: would deny the well-established term used across strength of materials and machine design.

Common Pitfalls:

• Confusing “strain energy” (recoverable) with “plastic work” (mostly non-recoverable after yielding).
• Thinking springs only “store” energy in compression; extension also stores the same form of energy.

Final Answer:
Yes