Truss Analysis MCQ with answer and solution

Concept

Tension coefficient is the ratio of axial force in a truss member to its length.

Formula

Tension coefficient (t) = Tension in member (T) / Length of member (L)

Step-by-step solution

1. Understand the definition of tension coefficient used in truss analysis. 2. Tension coefficient (t) is calculated as the total force or tension (T) in a member divided by the length (L) of that member. 3. Formula: t = T / L. Answer: (C) Tension in that member divided by length of member

Explanation

The tension coefficient method is used for analyzing space and plane trusses. The tension coefficient of a member is defined as the tension force in that member divided by its length. It helps in setting up simple linear equilibrium equations at joint nodes.

Why the other options are wrong

A: This is the formula for tensile stress, not tension coefficient. B: Tension in a member is just force (T), not the coefficient. D: Spacing of members is not used in calculating tension coefficient.

Shortcut

Remember: Tension Coefficient = Force / Length.

Common mistake

Students often confuse tension coefficient with tensile stress, which is force divided by cross-sectional area.