$(1)$

Determine continuas subregrons. Write Euter$-$berroull$$ eq$.$ for each subregion. Specify boundary and continuity condritions.

$(2)$

Find deflection at $x=8m$

$E=200$GPa,$I=0,003m^4$

$(3)$ Draw Mohr's circle far the $2$D stress condition ${}_{ij}=([2,1],[1,-1])MPa$

$5N$ force is applied at point $C$ along $+x$ direction and $10N$ force is appled at point $C$ along $-z$ direction. Calculate moment and forces at pont $A.$ Also indicate force direction$/$moment axis like $F_x,M_z,M_y$dotsetc

Supplemetory Information

$(EI{v}^{\text{'}\text{'}}{)}^{\text{'}\text{'}}=p(x)$

$R=\sqrt[\phantom{2}]{(\frac{{}_x-{}_y}{2}{)}^2+{}_{xy}^2}$

${}_1={}_{\text{a}\text{v}\text{g}}+R$

$v=\frac{P{b}_x}{6\text{L}\text{E}\text{I}}(L^2-b^2-x^2)$ for ${}_2={}_{\text{a}\text{v}\text{g}}-RV=\frac{P_{0}x}{360\text{L}\text{E}\text{I}}(7L^4-10L^2{x}^2+3x^4)x{}_2={}_{\text{a}\text{v}\text{g}}-R$

$V=\frac{P_{0}x}{360\text{L}\text{E}\text{I}}(7L^4-10L^2{x}^2+3x^4)$