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. To solve this problem, a five-step procedure will be used.

Step 2 – Geometry of deformation equation

(a) Draw the rotated position of the rigid bar and determine the relationship of the rigid bar deflections at B and C from similar triangles.

(b) Sketch the axial members after the rigid bar has rotated about A. Determine the final length of each bar in terms of its initial length and the appropriate rigid bar deflection.

(c) Relate the member elongations to the rigid bar deflections.