In $($Figure $1),$w

$=200$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. Figure

$1$ of $1$