MecMovies 4.0 : M5.8: Rigid Bar with Opposing Members

scene 5 of 13

The figure shows the rigid bar with its left end pinned and its right end inclined downwards. Point B is at a distance of 760 millimeters from point A. Point C is at a distance of 1520 millimeters from point A. The deflections at B and C are v subscript B and v subscript C respectively.

To determine the geometry of deformation relationship, first sketch the rotated position of rigid bar $ABCD$ after load $P$ has been applied.

Since member $(1)$ is connected to the rigid bar at $B$ and member $(2)$ is connected to the rigid bar at $C$ , the relationship between the rigid bar deflections will be determined at those joints.

Using the principle of similar triangles, the rigid bar deflections are related as:

$\frac{v_{B}}{760 mm} = \frac{v_{C}}{1, 520 mm}$