Engineering Statics

D-1


Determine the force in members BC and the components of the reaction at C.

The curved member has two reactions at each of the pin 
connections at C and B. 
BC is a straight two force member.  It is shown with 
the x and y components at B and D shown explicitly.
The moment equation is written for the curved member 
about point C.
The value of the radius is substituted.
A relationship between the two components of B is 
extablished.
But B is along the member BD, therefore the two components 
of B are proportional to geometry.
When the values for B<sub>x</sub> and B<sub>y</sub> are 
replaced by a geometric relationship with B, BD can be 
found.
If the summation of forces in the x direction is taken 
for the curved member the x component of C can be found. 
Note that the force is to the left.
If the summation of forces in the y direction is taken 
for the curved member the y component of C can be found. 
Note that the force is down.