Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

Civil Engineering (CE): Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

The document Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Design of Steel Structures.
All you need of Civil Engineering (CE) at this link: Civil Engineering (CE)

Load Factor

  • The load factor (λ)
    λ = Collapse load / Service load = Pc / P

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Plastic Sections Modulus

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Plastic Section Modulus
    Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

Shape Factor (∝)
∝ = MP / My = ZP / Zy

Where Zy is the elastic section modulus
Load factors
(λ) = Pc / P

Load Factor = Factor of safety x Shape factor
λ = FS × α

Shape factors for different shapes

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

Reserve Strength (Ψ)

  • It is the ratio of the ultimate load Wu to the load at first yield Wy of the structure.
    ψ = Wu / Wy

Length of a Plastic hinge (Lp)

  • It is the length of the beam over which the moment is greater than the yield moment (My).
    (a) For simply supported beam carrying a concentrated load, length of plastic hinge is given by Lp = L/3 (for rectangular section)
    (b) For simply supported beam carrying UDL length of plastic hinge is given by Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)
    Where ∝ is the shape factor, and L is the total length of the beam.
  • The length of the plastic hinge depends on loading and geometry.
Collapse Load Formulae
  • Simply supported beam with the concentrated load at the center

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Simply supported beam with the uniformly distributed load

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Propped cantilever with a concentrated load at the center

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Propped cantilever with a uniformly distributed load

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Fixed beam with a concentrated load at the center

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Fixed beam with eccentric loading

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Fixed beam with the uniformly distributed load

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Fixed beam with hydrostatic loading

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

  • Continuous beam with a uniformly distributed load

Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE)

The positions of the plastic hinges are one at support B and one on each side of the central support at a distance of 0.414L from A & C.

The document Plastic Analysis Notes | Study Design of Steel Structures - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Design of Steel Structures.
All you need of Civil Engineering (CE) at this link: Civil Engineering (CE)
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