In steel beam behavior, the dispersion of load from the flange into the web is commonly assumed to spread uniformly at what angle θ to the flange plane?

Difficulty: Easy

Correct Answer: 20°

Explanation:


Introduction / Context:
When loads are applied to a steel beam flange (e.g., via floor systems or brackets), they transfer into the web through a dispersion mechanism. For simplified design checks—such as bearing, web crippling, and local web compressive checks—an assumed uniform dispersion angle is used to estimate load distribution from flange to web.


Given Data / Assumptions:

  • Member: rolled or built-up I-section.
  • Load path: from loaded flange into web.
  • Assumption: uniform dispersion at a standard angle θ to the flange plane.


Concept / Approach:
Design aids often take a conservative, codified dispersion angle to convert concentrated flange loads into an equivalent bearing width in the web, simplifying local checks. A commonly adopted value in traditional exam literature is θ = 20°, which leads to manageable bearing lengths without overestimating web capacity. This is an approximation for preliminary or code-aligned checks rather than a substitute for detailed finite element modeling.


Step-by-Step Solution:

Identify the need to spread load from flange into the web to avoid unrealistic point load effects.Apply the canonical assumption: dispersion at 20°.Use the corresponding geometry to compute the effective spread length for bearing/web checks as needed.


Verification / Alternative check:

Compare with other simplified methods (e.g., 1:2 or 1:3 spreads); 20° falls within customary conservative approximations for flange-to-web transfer.


Why Other Options Are Wrong:

10° / 15°: too shallow; overestimates spread length and may unconservatively reduce local stresses.25° / 30°: steeper than typical assumption in this context, potentially underestimating spread length.


Common Pitfalls:

Treating the assumed angle as universal for all details; local stiffeners, fillets, or welds can alter real behavior.Ignoring web slenderness and crippling checks after dispersion.


Final Answer:

20°

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