Explain what this means in terms of force and the resulting deflection of the be

Question

Explain what this means in terms of force and the resulting deflection of the beam.

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A horizontal beam is supported at each end and subjected to forces at three points. The forces, measured in Newtons, at the three points are fv f2 and /3. As a result the beam bends. The deflections at each point are ylt y2, and y3, measured in millimeters. The relationship between the forces and the deflections is given by a matrix/vector equation Where D = [d,;] is a 3 X 3 matrix called a "flexibility matrix" of the beam Suppose d31 = 0.001 Explain what this means in terms of force and the resulting deflection of the beam. Be specific about the location of the force and the location of the resulting deflection

Explanation / Answer

d31 is related y3 and f1, so it means the deflection at #3 is 0.001 mm due to the force f1 = 1 N

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