High School

Determine the force in the members AB, AG, EF, and ED, and state whether they are in compression or tension.

A. Tension: AB, AG; Compression: EF, ED
B. Compression: AB, AG; Tension: EF, ED
C. Compression: AB, AG, EF, ED
D. Tension: AB, AG, EF, ED

Answer :

Final answer:

AB and AG are in tension as they resist outward pulling forces, while EF and ED are in compression, bearing inward pushing forces due to the applied loads.

Thus the correct option is a) Tension: AB, AG; Compression: EF, ED.

Explanation:

In a truss structure, members AB and AG are in tension because they are subjected to outward pulling forces, resisting compression forces acting on them. Conversely, members EF and ED are in compression as they are being pushed inwardly by the applied loads, causing them to resist tension. This distribution of forces maintains equilibrium within the truss.

To determine the forces in each member, we analyze the external forces acting on the structure and apply the method of joints or sections. By summing the forces in the x and y directions and ensuring equilibrium, we can ascertain whether the members are in tension or compression.

In this case, considering the dimensions of the truss and the applied loads, we find that AB and AG experience tension forces, while EF and ED undergo compression forces.

By understanding the fundamental principles of structural mechanics and applying static equilibrium equations, we can deduce the nature of the forces in each truss member. This knowledge is crucial in designing and analyzing truss structures to ensure their stability and efficiency in bearing loads.

Therefore, the correct option is a) Tension: AB, AG; Compression: EF, ED.