Transcription of Rigid Body Equilibrium
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Rigid Body EquilibriumSupport ReactionsPrevention ofTranslation orRotation of a bodyRestraints1ME101 -Division IIIK austubh DasguptaRigid Body EquilibriumVarious Supports2-D Force Systems2ME101 -Division IIIK austubh DasguptaRigid Body EquilibriumVarious Supports3-D Force Systems3ME101 -Division IIIK austubh DasguptaRigid BodyEquilibriumCategories in 2-D4ME101 -Division IIIK austubh DasguptaRigid BodyEquilibriumCategories in 3-D5ME101 -Division IIIK austubh Dasgupta For all forces and moments acting on a two-dimensional structure,OzyxzMMMMF 00 Equations of Equilibrium become 000 AyxMFFwhere A is any point in the plane of the structure. The 3 equations can be solved for no more than 3 unknowns. The 3 equations can not be augmented with additional equations, but they can be replaced 000 BAxMMFE quilibrium of a Rigid Body in Two Dimensions6ME101 -Division IIIK austubh Dasgupta More unknowns than equations: Statically Indeterminate Fewer unknowns than equations, partially constrained Equal number unknowns and equations but improperly constrainedStatically Indeterminate Reactions7ME101 -Division IIIK austubh DasguptaA man raises a
partially constrained •Equal number unknowns and equations but improperly constrained Statically Indeterminate Reactions ME101 - Division III Kaustubh Dasgupta 7. A man raises a 10 kg joist, of length 4 m, by pulling on a rope. Find the tension in the rope and the reaction at A.
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