Q$4.$

Determine the buckling load for the frame shown above.

Continuity at node $1,$

$m_A\frac{L_1}{I_1}j(u_1)+m_1[\frac{L_1}{I_1}i(u_1)+\frac{L_2}{I_2}i(u_2)]+m_2\frac{L_2}{I_2}j(u_2)=0$

Boundary Condition:

$m_A=0$; $U_A=0$

:$.i(U_2)=\frac{1}{3}$ and $j(U_2)=\frac{1}{6}$

Continuity at node $2,$

Boundary Condition:

$m_3=0,U_3=0$

:$.i(U_3)=\frac{1}{3},j(U_3)=\frac{1}{6}$

$,U_2=0$;$i(U_2)=\frac{1}{3},j(U_2)=\frac{1}{6}$

NOTE: Use the information above and the diagram in the text to determine the bucking load.