A uniformly loaded beam with semitigid supports is modeled as shown in Fig. P.1840. The rotational springs produce a resisting moment M o . Determine M o as a function of the end rotation θ. For a...

A uniformly loaded beam with semitigid supports is modeled as shown in Fig. P.1840. The rotational springs produce a resisting moment M_o. Determine M_o
as a function of the end rotation θ. For a simple support, what is the end rotation? Use the second Castigliano theorem. Hint: form a cantilever beam using symmetry.