Statically indeterminate built in beams

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SUMMARY

This discussion focuses on calculating the bending moment and deflection of a statically indeterminate beam that is built-in at both ends, subjected to two different distributed loads and two point loads that are not equally spaced. Richard seeks guidance on using the superposition method to solve this problem, as standard references primarily cover simpler cases. Richardpaul confirms that superposition is indeed the appropriate approach and suggests applying it multiple times to account for the various loads.

PREREQUISITES
  • Understanding of beam theory and mechanics of materials
  • Familiarity with superposition principles in structural analysis
  • Knowledge of bending moment and deflection calculations
  • Experience with statically indeterminate structures
NEXT STEPS
  • Research the superposition method for non-centered applied loads
  • Study examples of fixed-end beam analysis in structural engineering
  • Explore advanced topics in statically indeterminate structures
  • Learn about software tools for structural analysis, such as SAP2000 or ANSYS
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Civil engineers, structural analysts, and students studying mechanics of materials who are dealing with complex beam loading scenarios.

Richardpaul
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Hi,
I don't know if anyone can help. I would like to be able to calculate the bending moment and deflection of a beam that is:
Built in on both ends (no rotation)
It has 2 different distributed loads not equ ispaced along the beam
and has 2 point loads which are also not eqi spaced.
I can only find nice standard cases of 1 concentrated load OR a distributed load both equally spaced along the beam length.
I was thinking that superposition might be the easiest method

Thanks for any help

Richard
 
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Richardpaul: Yes, use the case of a noncentered applied load, and use superposition, four times. Is this a school assignment?
 
nvn
Thanks for the reply. I have looked through all my engineering notes from graduation and a few books. Most of them have simply supported beam examples and only very few fixed end examples. They all seem to follow the same type. eg. concentrated load at the centre or two loads that are nicely spaced symetrically. I wanted to know if the solution was very difficult and how to carry out the process. I am still looking for an example on the method how to do this. If you know would you mind letting me know

Thanks

Richard
 

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