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SteamKing said:Because the pipe has a mass of 12 kg per meter of length. Read the problem statement carefully.
Solid mechanics is a branch of mechanics that deals with the behavior of solid materials under external forces, such as stress, strain, and deformation. It involves the study of how materials respond to different types of loading conditions and how these responses can be predicted and controlled.
The key principles of solid mechanics include equilibrium, compatibility, and constitutive equations. Equilibrium refers to the balance of forces and moments acting on a body, compatibility ensures that the body's deformation is consistent with its geometry, and constitutive equations describe the relationship between stresses and strains in a material.
Solid mechanics has numerous applications in engineering, physics, and materials science. It is used to design and analyze structures such as buildings, bridges, and machines, as well as to understand the mechanical behavior of materials in industries such as aerospace, automotive, and manufacturing.
In solid mechanics, stress refers to the internal forces that act on a material, while strain refers to the resulting deformation of the material. There are different types of stress, including tensile, compressive, and shear stress, and different types of strain, such as elastic, plastic, and thermal strain.
To model and analyze solid mechanics problems, we use mathematical equations and principles such as Newton's laws of motion, Hooke's law, and the principle of virtual work. These equations and principles are applied to specific boundary conditions and material properties to predict the behavior of a solid under external forces.