Calculating Moment Capacity of A36 steel plate

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SUMMARY

The calculation of the maximum moment capacity of an 8" A36 steel plate used as a beam involves determining the nominal moment strength using the AISC Steel Construction Manual, Thirteenth Edition. The allowable flexural strength is calculated with the equation Mn/Ωb for Allowable Stress Design (ASD), where Ωb is set to 1.67. The two limit states to consider are yielding and lateral-torsional buckling, with the lower value of Mn being used for the final calculation. For static loading scenarios, ensure that the applied moment does not exceed 0.25*b*(t^2)*Sty/1.67, where Sty for A36 steel is 250 MPa.

PREREQUISITES
  • Understanding of AISC Steel Construction Manual, Thirteenth Edition
  • Knowledge of Allowable Stress Design (ASD) principles
  • Familiarity with flexural strength calculations for steel beams
  • Basic concepts of moment capacity and structural loading
NEXT STEPS
  • Study the AISC Steel Construction Manual, Thirteenth Edition, Chapter F for flexural strength design
  • Learn about the limit states of yielding and lateral-torsional buckling in structural design
  • Research ASCE 7 load combinations for applicable building codes
  • Explore the calculation of moment capacity for different cross-sectional shapes and orientations
USEFUL FOR

Civil and structural engineers, students in structural engineering courses, and professionals involved in the design and analysis of steel structures will benefit from this discussion.

dtbernar
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I am using an 8" steel plate as a beam that will undergo moment forces and deflections. I am not sure how to calculate the maximum moment capacity of a plate like this. I think that the deflection would = Fb*L^3/(48*E*I). Does this look correct?

I know how to calculate the max moment in the beam, but I need to know the nominal moment strength. Does anyone know the equation to do this? I believe that I will have to divide this by 1.67 for ASD allowable strength.
 
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Do not use the information below if you are designing/building something that could impact public works or put people in danger. Stop immediately and hire/contract a licensed Civil/Structural professional engineer in your area:

Depending on your application, here is what is used for buildings and other structures:

The allowable flexural strength for Rectangular Bars (Mn/Ωb for ASD) can be determined by AISC Steel Construction Manual Thirteenth Edition: Chapter F Design of Members for Flexure if it satisfies the assumptions/requirements in the general provisions (I'll let your look those up.) Section F1 (general provisions) sets Ωb=1.67 for ASD. Section F11 governs nominal flexural strengths, Mn, for rectangular bars bent about either geometric axis. The two limit states are yielding and lateral-torsional buckling. The lower of the two calculated Mn values should be used in your calculation of allowable flexural strength.

These allowable flexural strengths are intended to be used with the load cases generated by the applicable building code, and when that is not present, use the applicable ASCE07 load combinations.
 
dtbernar: Is your plate bending about its minor axis or major axis? If it is bending about its major axis, see post 2. If your plate is subjected only to static loading, in a building, and is bending about its minor axis, then you would want to ensure the applied moment, M, does not exceed 0.25*b*(t^2)*Sty/1.67, where b = plate width (mm), t = plate thickness (mm), and, for your material, Sty = 250 MPa.
 
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