The figure shows a rigid bar A B C D pinned at A and supported by vertical bars at B and C. The vertical bar at B is labeled 1 and pinned at its top end and the vertical bar at C is labeled 2 and pinned at its bottom end. The separation between A and B is 760 millimeters. The separation between B and C is 760 millimeters and the separation between C and D is 120 millimeters. A load P directed vertically downwards is applied at D.

Substitute the force-deformation relationships:

δ1=F1L1A1E1        δ2=F2L2A2E2

into the geometry of deformation equation:

δ1760 mm=-δ21,520 mm

to obtain the compatibility equation:

1760 mmF1L1A1E1=-11,520 mmF2L2A2E2