"Statics is the branch of classical mechanics that is concerned with the analysis of force and torque acting on a physical system that does not experience an acceleration, but rather, is in static equilibrium with its environment."
The study of bodies at rest or in constant motion.
Forces: An understanding of forces is essential since they are fundamental to everything we do in statics. Forces are described by their magnitude, direction, and point of application.
Free Body Diagrams: A free body diagram is a graphical representation of a single body and all the forces acting on it.
Equilibrium: Equilibrium is the state in which all external forces acting on a body are balanced, and the body is either stationary or moving with constant velocity.
Moment of a Force: The moment of a force is the product of the force and the perpendicular distance from the point of application of the force to the axis of rotation.
Moments and Couples: A couple is two parallel forces of equal magnitude, acting in opposite directions, and separated by a perpendicular distance. Couples cause pure rotation without translation.
Center of Gravity: The center of gravity of an object is the point at which the weight of an object is evenly distributed.
Friction: Friction is a resistive force that acts between two surfaces in contact and opposes the relative motion or tendency of motion between them.
Trusses: A truss is a structure composed of slender members, typically in a triangular arrangement, joined together at their ends to form a stable framework.
Beams: A beam is a structural element that supports loads and resists bending.
Frames and Machines: Frames and machines are structures that consist of interconnected members and components.
Virtual Work: Virtual work is a method used to calculate the work done by external forces on a system in equilibrium.
Statically Indeterminate Structures: Statically indeterminate structures are those for which the forces and reactions cannot be determined by equilibrium equations alone.
Two and Three-Dimensional Analysis of Structures: Two-dimensional analysis is used to determine loads and stresses in structures that are planar, while three-dimensional analysis is used for structures that are not planar.
Static and Dynamic Analysis: Static analysis involves the application of equilibrium equations to determine forces and deformations in structures under static loads, while dynamic analysis involves the application of Newton's laws to determine the motion of structures under dynamic loads.
Torsion: Torsion is a twisting deformation produced by the application of torque or twisting moment.
Rigid Body Mechanics: It deals with the study of the statics and dynamics of rigid bodies, which can include systems of connected or isolated bodies.
Beam Mechanics: It is a study of the mechanics of beam structures, including their deformation and stress distribution.
Cable and Tension Member Mechanics: It deals with the mechanics of cables, wires, or other tension members, including their behavior under various loading conditions.
Friction Mechanics: It concerns the study of the various types of friction, including static, kinetic, and rolling resistance, and how they influence the behavior of solid objects.
Coplanar Forces: It involves the analysis of forces that lie on a single plane and how they affect motion or stillness.
Non-Coplanar Forces: It is the study of forces that are not restricted to a single plane but act in a three-dimensional space.
Equilibrium Mechanics: It deals with the study of the conditions for equilibrium of a rigid body under the application of different types of forces.
Truss Analysis: It involves the analysis of truss structures, including their deformation, stresses, and loads.
Moment Distribution Method: It is a matrix-based method used for analyzing structural frames and calculating their member forces and displacements.
Virtual Work Method: It involves the use of virtual displacements to calculate the work done by external forces on a system.
Shear Force and Bending Moment Diagrams: It involves the graphical representation of shear forces and bending moments of a beam or other structural member.
Vector Mechanics: It is the application of vector analysis to the study of statics and dynamics problems.
Stress Analysis: It is the study of the stresses and strains within a solid body subject to external loads.
"Newton's second law states that F = ma (the bold font indicates a vector quantity, i.e. one with both magnitude and direction)."
"If a = 0, then F = 0."
"As for a system in static equilibrium, the acceleration equals zero, the system is either at rest, or its center of mass moves at constant velocity."
"M = Iα = 0."
"I is the moment of inertia of the mass."
"For a system where α = 0, it is also true that M = 0."
"Together, the equations F = ma = 0 (the 'first condition for equilibrium') and M = Iα = 0 (the 'second condition for equilibrium') can be used to solve for unknown quantities acting on the system."
"Statics is the branch of classical mechanics that is concerned with the analysis of force and torque acting on a physical system."
"Newton's second law states that F = ma."
"If a = 0, then F = 0."
"M = Iα."
"For a system where α = 0, it is also true that M = 0."
"The equations F = ma = 0 and M = Iα = 0 can be used to solve for unknown quantities acting on the system."
"Statics is the branch of classical mechanics."
"F = ma (the bold font indicates a vector quantity, i.e. one with both magnitude and direction)."
"If a = 0, then F = 0."
"The system is either at rest, or its center of mass moves at constant velocity."
"M = Iα = 0."
"The equations F = ma = 0 and M = Iα = 0 can be used to solve for unknown quantities acting on the system."