Moment in a Beam: Consider Both Spans AB & BC

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SUMMARY

The discussion centers on the analysis of a beam with spans AB and BC, specifically addressing why only span AB is considered statically indeterminate. The slope-deflection method is highlighted as the appropriate technique for solving statically indeterminate beams, utilizing deflection and rotation equations. Span AB is classified as statically indeterminate due to its fixed support at A and pinned support at B, resulting in four unknowns and only three equations of static equilibrium. In contrast, span BC can be analyzed using basic statics, eliminating the need for indeterminate analysis.

PREREQUISITES
  • Understanding of the slope-deflection method for beam analysis
  • Knowledge of static equilibrium equations in structural analysis
  • Familiarity with concepts of statically determinate and indeterminate structures
  • Basic principles of beam support types (fixed and pinned)
NEXT STEPS
  • Study the application of the slope-deflection method in structural engineering
  • Learn about static equilibrium equations and their role in beam analysis
  • Explore the differences between statically determinate and indeterminate structures
  • Investigate various beam support types and their implications on structural behavior
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing beam structures and their support conditions will benefit from this discussion.

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Homework Statement


In this problem , why only caluclation of span AB is considered ? why the span BC isn't required ?

Homework Equations

The Attempt at a Solution


I think there's soemthing wrong with the question , We have to consider the calcilation of span BC also
 

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The slope-deflection method is used to solve for statically indeterminate beams using deflection and rotation equations to make the beam statically determinate. The free end span from the free end to the nearest support can be solved by statics alone, so there is no need for the indeterminate analysis in this span. I haven't used this method in ages.
 
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PhanthomJay said:
The slope-deflection method is used to solve for statically indeterminate beams using deflection and rotation equations to make the beam statically determinate. The free end span from the free end to the nearest support can be solved by statics alone, so there is no need for the indeterminate analysis in this span. I haven't used this method in ages.
sorry , i am confused now , why for span AB , it's statically indeterminate ?
 
fonseh said:
sorry , i am confused now , why for span AB , it's statically indeterminate ?
It is fixed at A and with a settled pin support at B. So there are 4 unknowns and just 3 equations of static equilibrium
 
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