STATICS OF RIGID BODIES
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Statics of Rigid Bodies: Basic Principles of Mechanics - Prof. Ocang, Study notes of Mechanics
A basic engineering science course of solid mechanics dealing with bodies that are or remain at rest. It is designed to provide fundamental concepts about forces, moments and couples and their systems.
Typology: Study notes
2022/2023
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STATICS OF RIGID BODIES
BASIC PRINCIPLES OF
MECHANICS
Rigid-Body Mechanics
- (^) Is divided into two areas: - (^) Statics - (^) Dynamics Static s
- (^) deals with the distribution of effefocrtsces on and bodies which are and remain rigid at rest. Dynamic s
- (^) is concerned with the accelerated motion of bodies.
BASIC PRINCIPLES OF
MECHANICS
BASIC PRINCIPLES OF
MECHANICS
Rigid Body
- (^) is a combination of a large number of particles in which all the particles remain at a fixed distance from one another, both before and after applying a load. Particle
- (^) is a representative of the body (whole) which has a mass but the size can be neglected
BASIC PRINCIPLES OF
MECHANICS
Concurrent Forces Parallel Forces
BASIC PRINCIPLES OF
MECHANICS
Resultant Force
- (^) is the equivalent single force that represents a system of forces. Equilibrant Force
- (^) is also known as the balancing force which has the same magnitude as the resultant force but in opposite direction.
Superposition Law or Law of Transmissibility
- (^) It states that the state of rest or motion of a rigid body is unaltered if a force acting on the body is replaced by another force of the same magnitude and direction but acting anywhere on the body in the line of action of the replaced force.
BASIC OPERATIONS WITH FORCE
SYSTEM
Resultant of Force Systems
- (^) the effect of a system of forces on a body is usually expressed in terms of a resultant. Note: A force is a vector quantity which means it is characterized by its magnitude and direction.
BASIC OPERATIONS WITH FORCE
SYSTEM
Determining Resultant using Parallelogram Law
- (^) The magnitude of the resultant force can be determined using law of cosines, and its direction using the law of sines. The magnitudes of two force components are determined from law of sines.
PARALLELOGRAM
LAW
Sample Problem Determine the resultant and direction of the resultant.
PARALLELOGRAM
LAW
Answer: 212.6 N, 54. o above positive x- axis
Sample Problem At what angle must the 800lb force be applied in order that the resultant the resultant R of the two forces has a magnitude of 2000lb? For this condition, determine the angle β between R and the vertical force.
PARALLELOGRAM
LAW
Answer: β = 18. o
COMPONENT OF A
FORCE
At a given angle: F y = Fsinθ F θ F x = Fcosθ