Q1: A material expanding freely due to heating will develop __________ stress.

ANS:A - no

A material expanding freely due to heating will develop no stress. Explanation:

1. Thermal Expansion:
   • When a material is heated, its temperature increases, causing its molecules to gain kinetic energy and move more vigorously.
   • This increased molecular motion leads to an expansion of the material, resulting in an increase in its dimensions (length, width, and/or thickness).
   • This phenomenon is known as thermal expansion.
2. Stress Development:
   • In the case of free expansion, where the material is unconstrained and can expand without any external forces or restrictions, no stress is developed.
   • Since the material is free to expand in all directions, there is no resistance to its expansion, and no internal forces or stresses are generated within the material.
3. Types of Stress:
   • Stress refers to the internal forces or pressures that develop within a material in response to external loads, constraints, or changes in temperature.
   • There are different types of stress, including tensile stress (pulling or stretching), compressive stress (squeezing or compacting), and shear stress (sliding or tearing).
   • In the case of free expansion due to heating, none of these stresses are generated because the material is not constrained or subjected to external forces that would induce stress.
4. Applications:
   • Understanding the behavior of materials under thermal expansion is crucial in various engineering applications, such as in the design of structures, pipelines, and electronic devices where dimensional changes due to temperature variations need to be accounted for.
   • In situations where materials are constrained or subjected to external loads, thermal expansion can indeed lead to the development of stresses, which may need to be considered in the design and analysis of the system.