The $2-$segment bar shown below fixed on both sides and is loaded as sown below:

Question $1$

The boundary conditions above axial bar is given by:

$($select all that apply$)$

$u_{x4}(L)=0$

$P_1(0)=-2F_1+F_2-3F_3$

$P_4(\frac{3L}{4})=2F_1-F_2+2F_3$

$u_{x3}(\frac{2L}{3})=0$

$P_4(\frac{3L}{4})=0$

$u_{x1}(0)=0$

$P_4(L)=2F_1-F_2+2F_3$

$P_1(0)=2F_1-F_2+2F_3$

$P_4(L)=-2F_1+F_2-2F_3$

$P_4(\frac{3L}{4})=-2F_1+F_2-2F_3$

$P_4(L)=0$

$P_1(0)=0$

Question $2$

The force matching condition for above axial bar is given by:

$($select all that apply$)$

$P_1(\frac{L}{4})=P_2(\frac{L}{4})+2F_1$

$P_1(\frac{L}{4})+2F_1=P_2(\frac{L}{4})$

$P(L)=0$

$P_3(\frac{3L}{4})+2F_3=P_4(\frac{3L}{4})$

$P_3(\frac{3L}{4})=P_4(\frac{3L}{4})+2F_3$

$P_2(\frac{L}{2})=P_3(\frac{L}{2})+F_2$

$P(0)=0$