16 GET 21 Engineering Mechanics Unit 1 Equilibrium

16 GET 21 Engineering Mechanics Unit 1: Equilibrium of Rigid Bodies Equilibrium Conditions in Rigid Bodies Supports and Reactions in 3 D

On completion of the session the learner will be able to; 1. 4 Calculate the support reactions at ball and socket joint under static equilibrium condition. In doing so he/she will be able to 1. 4. 1 Explain the use of ball and socket joint

Ball and Socket Joint • The ball and socket joint (or spheroidal joint) in which the ball-shaped surface of one rounded metal fits into the cup-like Ball & Socket depression of another metal. Joint

Support Reactions As a general rule, • If a support prevents the translation of a body in a given direction, then a force is developed on the body in that direction. • If rotation is prevented, a couple moment is exerted on the body

Ball and Socket Joint - Reactions

State the governing equations for equilibrium condition for Rigid Bodies in 3 D • A state of rest or in uniform motion due to the equal action of opposing forces. Governing equations of equilibrium condition in a 3 D space for Rigid Bodies ∑F x = 0 ∑F y = 0 ∑F z = 0 ∑M x = 0 ∑M y = 0 ∑M z = 0

Class Work 8 Rod AB shown is subjected to the 200 -N force. Determine the reactions at the ball-and-socket joint A and the tension in the cables BD and BE.

Self Study: Other – 3 D supports

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