# 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)

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Plastic Sections Modulus

• Plastic Section Modulus

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

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

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

Shape factors for different shapes

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
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.
• Simply supported beam with the concentrated load at the center

• Simply supported beam with the uniformly distributed load

• Propped cantilever with a concentrated load at the center

• Propped cantilever with a uniformly distributed load

• Fixed beam with a concentrated load at the center

• Fixed beam with the uniformly distributed load

• Continuous beam with a uniformly distributed load

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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## Design of Steel Structures

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