Fixed end moments with a beam with udl

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    Beam Moments Udl
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Discussion Overview

The discussion centers around the calculation of end moments for a fixed-end beam subjected to a uniformly distributed load (UDL). Participants explore the mechanics involved, questioning the derived moment values and seeking clarification on the underlying principles.

Discussion Character

  • Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant questions the derived end moments of W L^2/12, suggesting they should be W L^2/4 instead, indicating a potential misunderstanding or differing interpretation of beam mechanics.
  • Another participant notes that in a fixed-end beam, both the slope and deflection at the ends must equal zero, contrasting this with simply supported beams where moments are typically zero unless an applied couple is present.
  • A request for a stepwise solution or reference to a detailed explanation is made by a participant, indicating a desire for further clarification on the topic.
  • A reference to a Schaum's Outline of Strength of Materials is provided, mentioning a problem involving a UDL on a beam, suggesting that the technique discussed may apply to the full length of the beam.

Areas of Agreement / Disagreement

Participants express differing views on the correct calculation of end moments, with no consensus reached on the appropriate values or methods to derive them.

Contextual Notes

The discussion does not resolve the assumptions related to the beam's loading conditions or the definitions of fixed and simply supported beams, which may affect the calculations of moments.

date.chinmay
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I came across a reference where there is a beam (lets say length L)
both ends fixed... with a UDL of say "W" per unit length... i want to know how the end moments are W L^2/12 ...shudnt they be W L^2/4??


Its pretty simple mechanics. but it got me wondering,,,,
 
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In the fixed end beam, both the slope and deflection at the ends must equal zero. In a simply supported beam, there are different end conditions and the moments are typically zero, unless there is also an applied couple.
 
nice,,,
i wondered if u cud provide a solution or a link to the actual stepwise solving of one...
 
Here is an excerpt from a Schaum's Outline of Strength of Materials (prob. 11.6):

This problem shows a beam which is partially loaded with a UDL. The technique can be used when the UDL is extended the full length of the beam.
 

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