Calculating Bending Moment and Using Virtual Work Principle for Cantilever Beam

In summary, the conversation is about a homework problem involving finding the bending moment equation and using the principle of virtual work. The person asking for help is unsure how to find the bending moment equation and which principle of virtual work to use. They also inquire about the shear force and if it can be found from the distributed load. They are asked if they have any knowledge in strength of material and if they can define bending moment and calculate the total load.
  • #1
xzibition8612
142
0

Homework Statement



see attachment

Homework Equations





The Attempt at a Solution



I think #1 is to find the bending moment equation, then use the principle of virtual work. I have no idea how to find the bending moment equation and which principle of virtual work to use. Any guidance would be appreciated.
 

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  • #2
What about the shear force? Can you find shear from the given distributed load?

Have you studied any strength of material?
 
  • #3
Do you have a working definition of 'bending moment'? Are you able at least to calculate the total load? Answers to these 2 questions would be a valuable starting point, in addition to SteamKing's suggestion.
 

FAQ: Calculating Bending Moment and Using Virtual Work Principle for Cantilever Beam

What is a cantilever beam?

A cantilever beam is a type of structural element that is supported at one end and free to move or deflect at the other end. It is commonly used in construction and engineering to support loads and resist bending forces.

What is virtual work in relation to cantilever beams?

Virtual work is a method used to analyze the behavior of a cantilever beam under external loads. It involves calculating the work done by the external forces and comparing it to the work done by the internal forces within the beam.

How is virtual work used to determine deflection in a cantilever beam?

Virtual work is used to calculate the deflection of a cantilever beam by considering the work done by the external loads and the work done by the internal forces. By equating these two values, the deflection at any point along the beam can be determined.

What are the assumptions made in the virtual work method for cantilever beams?

The virtual work method for cantilever beams makes the following assumptions: the beam is made of a linear elastic material, the deflections are small, and the external loads are applied gradually.

What are the advantages of using the virtual work method for cantilever beams?

The virtual work method allows for a quick and accurate analysis of the deflection and stress in a cantilever beam. It also allows for the consideration of complex loading conditions and can be easily extended to analyze more complex structural systems.

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