If the horizontal displacement of joint \(B\) of the frame in Figure P8.40 is not to exceed 0.36 in., what is the required \(I\) of the members? Bar \(C D\) has an area of \(4 \mathrm{in}^{2}\), and \(E=29,000 \mathrm{kips} / \mathrm{in} .^{2}\). Consider only the bending deformations of members \(A B\) and \(B C\) and the axial deformation of \(C D\).

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P= 4 kips- and B 1 A w = 2 kips/ft 1 30' A=4 in. hinge