Writing shear and moment equations for a simple beam problem?

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Discussion Overview

The discussion revolves around writing shear and moment equations for a simple beam problem using Mathcad. Participants are seeking assistance with mathematical expressions and integrals related to beam analysis.

Discussion Character

  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant is looking for help in writing shear and moment equations in Mathcad for a simple beam problem.
  • Another participant mentions generating a spreadsheet in Mathcad for similar problems but is struggling with the integrals.
  • A different participant observes that the shear and moment diagrams appear correct and questions why there is a perceived problem.
  • One participant indicates the need to write the equations piece-wise rather than expecting a single expression to be valid everywhere.
  • A participant acknowledges the necessity of piece-wise equations and asks for guidance on setting up the equations and integrals in Mathcad.

Areas of Agreement / Disagreement

Participants generally agree on the need for piece-wise equations, but there is no consensus on the specific setup for the equations or integrals in Mathcad.

Contextual Notes

Limitations include potential missing assumptions regarding the beam's loading conditions and support types, as well as unresolved mathematical steps related to the integrals.

rtrux4
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I am trying to write shear and moment equations in mathcad for a simple beam problem. Any help would be greatly appreciated.

Thanks
 

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Im generating a spreadsheet in mathcad to do simple beam problems. Having trouble doing the integrals.
 
You shear and moment diagrams look OK, so it is not obvious that there is a problem. Why do you think that there is one?
 
I am trying to write out the shear and moment equations for the beam in mathcad. The attached figure was from Beampro (an analysis software).
 
You are going to have to write them piece-wise. Don't expect to find a single expression valid everywhere.
 
I know ill have to piece-wise them, but any idea how to set up the eqns in mathcad? The integrals.
 

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