Question

The simple truss structure is shown below. The forces acting in the members AB and BC respectively are

• A. \( 1.732\text{ W} \text{ compression \& } 2\text{ W} \text{ tensile} \)
• B. \( 1.414\text{ W} \text{ tensile and } 1.732\text{ W} \text{ compression} \)
• C. \( 3.464\text{ W} \text{ compression \& } 2\text{ W} \text{ tensile} \)
• D. \( 1.732\text{ W} \text{ tensile and } 2\text{ W} \text{ compression} \)

Hint:

To quickly solve simple right-triangle trusses, use the load to solve the vertical component first. Since the downward load \( W \) must be balanced by the vertical component of the angled strut, \( F_{BC}\sin(30^\circ) = W \implies F_{BC} = 2W \) instantly!

Answer 1

The Correct Option is D