Unsymmetrical L-section beam, Imin and Imax

  • Thread starter stevo1978
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The formulas and calculations are clearly outlined and easy to follow. It is recommended to review the solution to ensure understanding. In summary, the conversation is about a student seeking assistance with their hand calculations for an assignment involving an unsymmetrical L-section beam. They have attached their solution, which correctly calculates the areas and natural frequencies for axial and torsion. It is suggested to review the solution for better understanding.
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stevo1978
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Homework Statement



Hi i have been doing some hand calculations, for an assignment, I have an unsymmetrical L-section beam and trying to find out the natural frequencies for the beam, axial and torsion.
I have attached the formulae i have and what i have worked out for the areas of the L-section beam, i was wondering if somebody could go through my attached solution to see if its right.
Many thanks

Homework Equations





The Attempt at a Solution

 

Attachments

  • Beam Hand Calculations.xls
    36 KB · Views: 279
  • L-section beam.doc
    188.5 KB · Views: 181
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  • #2
The attached solution is correct. It shows how to calculate the areas of an unsymmetrical L-section beam and how to use these areas to find the natural frequencies for axial and torsion.
 

Related to Unsymmetrical L-section beam, Imin and Imax

1. What is an Unsymmetrical L-section beam?

An Unsymmetrical L-section beam is a type of structural element commonly used in construction and engineering. It is a beam with an L-shaped cross section, where one flange (side) is longer or wider than the other. This creates an unequal distribution of forces and bending moments, making it suitable for specific structural designs and applications.

2. How is the Imin of an Unsymmetrical L-section beam calculated?

The Imin (minimum moment of inertia) of an Unsymmetrical L-section beam is calculated by finding the moment of inertia of each individual flange and adding them together. The formula for calculating the moment of inertia of a rectangular section is (base x height^3)/12. For an L-section beam, you would calculate the moment of inertia for each flange and then add them together.

3. What is Imax and why is it important for an Unsymmetrical L-section beam?

Imax (maximum moment of inertia) is the largest moment of inertia of an Unsymmetrical L-section beam. It is important because it determines the beam's resistance to bending and its ability to support loads without experiencing excessive deflection. A higher Imax value means a stronger and more stable beam.

4. Can an Unsymmetrical L-section beam be used for both compression and tension forces?

Yes, an Unsymmetrical L-section beam can be used for both compression and tension forces. However, the unequal distribution of forces in the beam may result in different stress and strain patterns in each flange. It is important to carefully consider the design and loading conditions to ensure the beam can withstand both types of forces.

5. What are some common applications of Unsymmetrical L-section beams?

Unsymmetrical L-section beams are commonly used in building and bridge construction, as well as in various structural projects. They are often used in situations where a beam with an equal flange width is not structurally feasible or where a specific load distribution is required. Some examples of applications include crane girders, roof trusses, and cantilevered structures.

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