Understanding Fixed Support in Statically Indeterminate Problems

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SUMMARY

The discussion clarifies the concept of fixed support in statically indeterminate problems, specifically regarding beam deflection. A fixed support at x=0 implies that the derivative of deflection (dv/dx) equals zero, confirming that the beam is cantilevered and prevents rotation. If the support allows for rotation, dv/dx does not equal zero. The distinction between fixed and swivel supports is crucial for accurate analysis.

PREREQUISITES
  • Understanding of statically indeterminate structures
  • Knowledge of beam deflection theory
  • Familiarity with cantilever beam mechanics
  • Basic calculus for interpreting derivatives
NEXT STEPS
  • Study the principles of statically indeterminate structures
  • Learn about cantilever beam analysis techniques
  • Explore the implications of fixed versus movable supports in structural engineering
  • Review calculus applications in engineering mechanics
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Structural engineers, civil engineering students, and anyone involved in analyzing beam mechanics and statically indeterminate problems will benefit from this discussion.

cambo86
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I've just started to learn about how to solve statically indeterminate problems and I just want to check my understanding. If I've got a fixed support at x=0 then does that mean
\frac{dv}{dx}=0, where x is distance along beam and v is deflection?

As in the picture here,
IMG_0335.jpg
 
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Thanks all but I've got an answer to this. dv/dx = 0 is right.
 
Only if the beam is cantilevered (built into the wall to prevent rotation). If that's what you mean by a fixed support, then yes. If the beam is supported at x = 0 by a support that allows it to swivel, then no. According to your picture, the beam looks cantilevered.
 

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