CVEEN $2010-001$

Tutorial $3$: Equilibrium of Rigid Bodies

Learning Objectives:

Construct Free Body Diagrams $($FBD$)$ for $2$D rigid bodies

Apply the equations of equilibrium to $2D$ rigid bodies at rest.

Eree Body Diagram:Diagram representing the body under isolation and with all the forces acting on it$.$

Support reactions applicable to $2D$ rigid bodies

Roller support

Pin sup$]$

Fixed suppc

Example $3$

Three loads are applied to a beam as shown below. The beam is supported by a roller at A and a pin at B$.$ Neglecting the weight of the beam, determine the reactions at A and $B$ when $P=15$ kips.

Example $4$

$($Note: This is a HW problem. Only hints will be discussed during the tutorial and not the solution$)$

The uniform bar $OC$ of length $L$ pivots freely about a horizontal axis through $O.$ If the spring of modulus $k$ is unstretched when $C$ is coincident with $A,$ determine the tension $T$ required to hold the bar in the $45$ degree position shown. The diameter of the small pulley at $D$ is negligible