3SEM302: ADVANCED STRESS ANALYSISQuestion 1: Indeterminate structural behaviour (variational form)Two beams of equal length, L, are arranged as shown. The beams are aligned at right angles to eachother. Beam DE can be considered simply supported and beam AC is fixed at point A and aconcentrated load, P, is applied at the end of the beam at point C. Beam AC rests on beam DE at pointB. Point B is located at the mid‐point of beam DE. Your client is interested in exploring the behaviourof the structure, with a specific focus on the behaviour of the structure as the position of beam DE isvaried in relation to beam AC. The position of beam DE relative to point A is described by variable,d.You will explore the design by varying d between 0.25L<d<0.75L. At all times beam DE remainsperpendicular to beam AC. The two beam are made from the same material and have the samebending rigidity, EI.To analyse the limits of the proposed design you will:a)Determine the magnitude of the contact force acting between Beams AC and DE. The contactforce should be derived in terms of the variable d. You can assume that beam AC can berepresented as a cantilever beam with an elastic support at point B (to represent the stiffnessof beam DE).
