Question $1(100$ pts$)$

$(1)(30\%)$ use the critical point $($CP$)$ method to draw a moment diagram. Please clearly show the

$CP$ method with a superposition procedure $($e$.$g$,$ superposition equation and dashed line$).$ Without a

clear procedure, you will lose $30$ points

Use the moment$-$area theorems and determine the deflection at $C$ and the slope of the beam at

$A,B,$ and $C.EI$ is constant.

$(2)$ what is tes? $(20\%)$

$(3)$ What is ${}_A?5\%)$

$(4)$ What is ${}_B?5\%)$

$(5)$ What is ${}_C?(5\%)$

$(6)$ What is tcs$?(20\%)$

$(7)$ What is $Y?(15\%)$