In $($Figure $1),$ w

$=400$ N$/$m

$.$ Follow the sign convention.

Figure$1$ of $1$

A frame $\text{'}$A$\text{'}$ C B consists of an inclined beam and L shaped beam pinned together at C$.$ The L shaped beam C B extends $1$ meter vertically upward from end B to a joint and then extends horizontally leftward to pin C$.$ The inclined beam $\text{'}$A$\text{'}$ C extends leftward and downward from pin C to pinned end $\text{'}$A$\text{'}$ making an angle of $60$ degrees with the horizontal. Both pins $\text{'}$A$\text{'}$ and B are fixed to horizontal surfaces, pin B is above pin $\text{'}$A$\text{'}.$ Point E is marked on the segment $\text{'}$A$\text{'}$ C$,0\mathrm{.}75$ meters from both ends. Point D is marked on the horizontal segment of C B$,0\mathrm{.}25$ meters from C and $0\mathrm{.}75$ meters from the vertical segment of C B$.$ A uniformly distributed load w acts rightward and downward on the beam $\text{'}$A$\text{'}$ C perpendicular to this beam.

Part A

Determine the normal force at point D

of the frame.