Consider beam 13 in Table A–9, but with flexible supports. Let w = 500 lbf/ft, l = 2 ft, E = 30 Mpsi, and I = 0.85 in4. The support at the left end has a translational spring constant of k1 = 1.5(106) lbf/in and a rotational spring constant of k2 = 2.5(106) lbf ∙ in. The right support has a translational spring constant of k3 = 2.0 (106) lbf/in. Using procedure 2 of Sec. 4–10, determine the reactions at the supports and the deflection at the midpoint of the beam.