Learning topic
Structural Mechanics
Learn structural mechanics for beams, trusses, frames, and arches: reactions, internal forces, displacements, force and displacement methods, and matrix stiffness.
Structural mechanics develops methods for analyzing load-bearing structural systems under external loads and imposed actions. Its principal models include beams, trusses, frames, arches, and more general framed structures. The emphasis is on the response of the structure as a system: reactions, internal forces, displacements, and static or kinematic determinacy.
Statically determinate structures
For a statically determinate structure, all reactions and internal forces can be obtained from equilibrium equations. Beams, planar trusses, frames, and three-hinged arches provide the fundamental models used before more advanced systems are considered.
Structural displacements
Displacements and rotations are required for stiffness assessment and for the analysis of indeterminate structures. Energy methods, Mohr integrals, and unit-load methods provide systematic tools for determining these quantities.
Statically indeterminate structures
When equilibrium alone is insufficient, compatibility conditions must be introduced. Classical approaches include the force method and displacement method. For larger systems, these ideas lead naturally to matrix stiffness analysis, which forms the basis of framed finite-element models.
About this topic
Structural mechanics covers the analysis of load-bearing systems including statically determinate beams, trusses, frames and arches, structural displacements, statically indeterminate systems using force and displacement methods, and the fundamentals of matrix stiffness analysis.