Beam classification by supports — name the member: A beam resting on more than two supports over its span is called what?

Introduction:
Support conditions define common beam types and their analysis methods. Recognizing a beam spanning over multiple supports is foundational for statically indeterminate analysis.

Given Data / Assumptions:

• More than two supports along the beam's length.
• Standard textbook nomenclature.

Concept / Approach:
A beam that extends over three or more supports is termed a continuous beam. Internal moments and shears depend on continuity across supports and require compatibility along with equilibrium for solution.

Step-by-Step Solution:

Verification / Alternative check:
Indeterminacy check: each additional support beyond two generally introduces indeterminacy requiring slope-deflection, moment distribution, or matrix methods.

Why Other Options Are Wrong:

• Simply supported: exactly two supports without fixity.
• Fixed beam: both ends fixed, but still two supports.
• Overhanging: extensions beyond supports, not necessarily >2 supports.
• Cantilever: fixed at one end only.

Common Pitfalls:
Confusing “overhanging” with “continuous.” Overhang concerns extension beyond a support, not the number of supports.

Final Answer: