$[$Exercise $2-1]$

As shown in Figure $2-1,$ a moment Mo is applied to the

left end $A$ of a straight beam fixed at the right end $B.$ The

bending stiffness of the beam is EI and the span is $1.$ Answer

the following questions. The bending stiffness is $51.$ The span is $1(1)$ Express the bending moment M and shear force

$F$ acting on the beam using the necessary values of Mo$,$EI$,$ I, and $x.$

$(2)$ Using Mo$,$ El$,$ or $1$ as necessary, express the

Figure $2-1$: Straight beam subjected to moment

deflection angle in and deflection VA occurring at

point $A,$ and use Castigliano's theorem to solve the problem.