Loads on beams: classification Statement: A load acting at a single point on a beam is not called a uniformly distributed load (UDL).
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AAgree
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BDisagree
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COnly true if the load is spread over a small plate
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DTrue only for moving loads
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ETrue only for dynamic loads
Answer
Correct Answer: Agree
Explanation
Introduction / Context:Beam loading is categorized by how force is spread along the span. A point load is concentrated at a location, while a uniformly distributed load acts continuously with constant intensity per unit length. Clear classification is essential for drawing shear and moment diagrams correctly.
Given Data / Assumptions:
- Beam is prismatic and linearly elastic.
- Load types under discussion: point load vs uniformly distributed load.
Concept / Approach:Definitions govern the classification. A UDL has intensity w (force per unit length) constant along a region. A point load is modeled as acting at an exact position with no length over which it is distributed.
Step-by-Step Solution:Identify the load application area.If the load acts over zero length, it is a concentrated load.Since there is no distribution per unit length, it cannot be called a UDL.
Verification / Alternative check:In structural analysis, converting a UDL over length a to a resultant W = w * a placed at the centroid is a modeling step; the original load remains a UDL, not a point load. The converse does not apply to a true point load.
Why Other Options Are Wrong:Disagree: contradicts the definition. Conditions involving plates, moving loads, or dynamics do not change the classification based on distribution.
Common Pitfalls:Confusing the resultant of a UDL with an equivalent point load; mislabeling affects SFD and BMD shapes and magnitudes.
Final Answer:Agree