Theory of Machines: Unit IV: Force Analysis
static force analysis
Force Analysis - Theory of Machines
A body or group of bodies is said to be in equilibrium if all the forces exerted on the system are in balancé.
STATIC FORCE ANALYSIS • A body or group of bodies is said to be in equilibrium if all the forces exerted on the system are in balancé. • In other words, a body is in static equilibrium if it remains in its state of rest or motion. • If the body is at rest, it tends to remain at rest and if it is in motion, it tends to keep the motion. Condition for static equilibrium (Equations of equilibrium): The necessary and sufficient conditions for the static equilibrium of a body are: 1. The vector sum of all the external forces acting upon it is zero. Mathematically, ΣF = 0, which is known as force law of equilibrium. 2. The vector sum of the moments of all forces acting about any arbitrary axis is zero. Mathematically, ΣM = 0, which is known as momentum law of equilibrium. • Mathematically, these two conditions are expressed as The above expression is also known as equations of equilibrium. In a planar system, it is convenient to resolve the forces along two mutually perpendicular directions x and y. Then the equation of equilibrium (10.1) can be written asSTATIC EQUILIBRIUM
Theory of Machines: Unit IV: Force Analysis : Tag: : Force Analysis - Theory of Machines - static force analysis
Theory of Machines: Unit IV: Force Analysis
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Theory of Machines
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