Calculating Elastic plastic bending moment

In summary, the conversation is about a student preparing for a strength of materials exam who is struggling with a problem involving the neutral axis and yield stress. They are unsure if the section below the neutral axis is fully plastic and are seeking an explanation or methodology for solving the problem. They mention using compressive and tensile forces/moments to determine the shift of the neutral axis, but are hesitant to assume that the section is entirely plastic. They also ask about the expected appearance of the compressive side of the stress-strain curve.
  • #1
Matthew Titus
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1. The problem statement, all variables, and given/known data
Good day

I am preparing for a strength of materials exam and I can't seem to solve this problem. I am unsure if the section below the neutral axis is fully plastic before the edge of the flange experiences the yield stress. Could anyone please provide an explanation or methodology into solving this problem.

Homework Equations

The Attempt at a Solution


summing compressive and tensile forces/moments in order to resolve where the neutral axis has shifted but to be able to do this we would have to assume that the section is entirely plastic below the neutral axis to have one unknown variable which we are not comfortable assuming
 

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  • #2
What is the compressive side of the stress strain curve supposed to look like?
 

1. How is elastic plastic bending moment calculated?

Elastic plastic bending moment is calculated by finding the maximum stress and strain values in a given material and determining the point at which the material transitions from elastic deformation to plastic deformation. This can be done using stress-strain curves or through finite element analysis.

2. What factors affect the elastic plastic bending moment?

The factors that affect the elastic plastic bending moment include the material properties, cross-sectional area, and applied load. The yield strength of the material is a critical factor as it determines the point at which the material will begin to experience plastic deformation.

3. What is the difference between elastic and plastic bending moment?

Elastic bending moment refers to the maximum stress and strain that a material can withstand while still returning to its original shape after the load is removed. Plastic bending moment, on the other hand, is the maximum stress and strain that a material can withstand before permanently deforming.

4. How is elastic plastic bending moment used in engineering design?

Elastic plastic bending moment is used in engineering design to ensure that the material and structure can withstand the expected loads without experiencing excessive deformation or failure. It helps engineers determine the appropriate material and dimensions for a given structure to ensure it can withstand the expected loads without exceeding the yield strength.

5. Can the elastic plastic bending moment be increased?

The elastic plastic bending moment can be increased by using a material with a higher yield strength, increasing the cross-sectional area, or adjusting the applied load. However, it is important to note that exceeding the yield strength of a material can result in permanent deformation or failure, so it is crucial to carefully consider all factors in engineering design.

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