EQUATIONS OF EQUILIBRIUM As stated earlier, when a body is in equilibrium, the net force and the net moment equal zero, i.e.F = 0 andM = 0These two vector equations can be written as six scalar equations of equilibrium. (ii) the sum of the moments of all external forces about any line is zero. Necessary Condition for Equilibrium The necessary conditions for equilibrium are: (i) the vector sum of all external forces is zero. This is expressed as follows: FRF0(vectorequation)Some problems can be analyzed using only 2D, while others require 3D. Equilibrium Equation from Newtons Law If an object is in equilibrium, then the resultant force acting on an object equals zero. F=0Resultant of all forces acting on a particle is zero.Equilibrium 11. Therefore, sum of all forces must be zero. Newtons First Law of Physics: A body at rest will stay at rest and a body in motion will stay in motion unless acted upon by an unbalanced force. Any object which is in dynamic equilibrium has zero net force acting on it and is moving at a constant velocity.
Any object which is in static equilibrium has zero net force acting on it and is at rest. Types There are two kinds of mechanical equilibrium: static equilibrium and dynamic equilibrium. (Second condition of equilibrium ) Typically, an object at rest in a stable situation experiences both linear and rotational equilibrium. (First condition of equilibrium ) An object experiencing no rotational acceleration (a component of torque) is said to be in rotational equilibrium. The term "translational equilibrium" describes an object that experiences no linear acceleration. Types There are two basic conditions of equilibrium. Force System Concurrent & Non-Concurrent Concurrent system occur when the lines of actions of the forces acting on a body intersect at a common point.Non-concurrent system occurs when the forces are acting at different points. CENTER OF GRAVITY The center of gravity of a body is the point where its entire weight maybe assumed concentrated.Practical example of equilibrium and center of gravity: A tight rope walker in a circus carries a weighted pole or an umbrella.
These forces may be even large enough to cause permanent deformation. Equilibrium Is the condition of force where it is acted but simply cancelled out. In physics it means a state of even balance in which opposing forces or tendencies neutralize each other. The Word Equilibrium Derived From The word equilibrium is derived from the Latin word quilbrium, from quus (equal) + lbra (balance). Course Title: Prestress Concrete Design Sessional.Ģ.
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