Engineering Statics

C-21


Member ABC is supported by a pin and bracket at point B and by an inextensible cord attached at points A and C, and passing over a frictionless pulley at D. The tension may be assumed to be the same in portions AD and CD of the cord. For the loading shown and neglecting the size of the pulley, determine the tension in the cord and the reaction at point B.

The moment equilibrium equation about point B allows us 
to set up an equation in terms of the unknown, T, only.
The equation is organized with the constant on the left 
and terms with T on the right of the equation.
T is solved for.
For equilibrium exists in the x-direction.
We can solve for the reaction at B in the x-direction.