Which of the following beams is classified as a statically determinate beam?

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RRB JE ME 22 Apr 2025 Shift 2 CBT 2 Official Paper

Answer 1

Explanation:

Statically Determinate and Indeterminate Beams

In structural engineering, a beam is classified based on how the reactions at the supports can be determined. A statically determinate beam is one where the reactions can be found using only the equations of static equilibrium. Conversely, a statically indeterminate beam requires additional compatibility equations because the number of unknowns exceeds the number of equilibrium equations.
The stability and determinacy of a beam depend on the types and arrangements of supports and the way loads are applied. For a beam to be statically determinate, the sum of the vertical forces, the sum of the horizontal forces, and the sum of the moments must equal zero, and these conditions must be sufficient to find all unknown reactions without recourse to deformation compatibility.

Types of Beams:

Simply Supported Beam: A beam supported at both ends with no moment resistance at the supports. This is a classic example of a statically determinate beam.
Cantilever Beam: A beam fixed at one end and free at the other. This is also statically determinate because the reactions can be found using the equilibrium equations.
Overhanging Beam: A beam that extends beyond one or both of its supports. It is statically determinate if it does not have additional supports that would introduce indeterminacy.
Propped Cantilever Beam: A beam fixed at one end and simply supported at the other. This is statically indeterminate.
Continuous Beam: A beam with more than two supports. This is generally statically indeterminate.
Fixed Beam: A beam with both ends fixed. This is also statically indeterminate.

Overhanging beam:

An overhanging beam is a type of beam that has one or both ends extending beyond its support(s). This type of beam is statically determinate if it does not have additional supports that would introduce indeterminacy. The reactions at the supports can be determined using the three equations of static equilibrium (∑Fx = 0, ∑Fy = 0, ∑M = 0).