MecMovies 4.0 : M5.5: Rod and Post in Series

scene 5 of 14

The figure shows a vertical rod A B labeled 1 attached to a vertical post B C labeled 2 by a flange at B. The length of member 1 is 1500 millimeters and the length of member 2 is 1000 millimeters. The load at B is P which equals 110 kilo newtons directed vertically downwards. The rod is attached to a rigid support at A and the post is attached to a rigid support at C.

An equation based on the geometry of the deformations particular to this structure can be written as:

$δ_{1} + δ_{2} = 0$

The deformation in member $(1)$ plus the deformation in member $(2)$ must add up to be zero since the overall length of the axial member is constrained by the rigid supports at $A$ and $C$ .