Computational analysis methods

Below is a brief summary of computational analysis methods that covered in this section.

Static analyses

Static analyses can be classified as (Ziemian 2007):

1st order elastic analysis: $[K_e]\{\Delta} = \{F\}$
2nd order elastic analysis: $[K_e + K_g]\{d\Delta} = \{dF\}$ (P-Delta effects are considered)
3rd order elastic analysis: $[K_e + K_g]\{d\Delta} = \{dF\}$ (large displacements are considered)
1st order inelastic analysis: $[K_e + K_p]\{d\Delta} = \{dF\}$
2nd order inelastic analysis: $[K_e + K_g + K_p]\{d\Delta} = \{dF\}$ (P-Delta effects are considered)
3rd order inelastic analysis: $[K_e + K_g + K_p]\{d\Delta} = \{dF\}$ (large displacements are considered)

Ronald D. Ziemian: Basic Introduction to Non-Linear Frame Analysis (video), 2007 North American Steel Construction Conference, April 18-21, 2007. Part 3/3, slide 22.

Home > Topics > Computational Analysis Methods e
Overview	Computational analysis methods
Analysis methods	Flexibility method · Direct stiffness method · Finite element method · Pushover analysis · Modal analysis · Response spectrum analysis · Staged construction
Time history analysis	Modal time history analysis · Direct integration time history analysis
Other methods	Applied element method · Progressive collapse
Miscellaneous	P-Delta effect

See Also	Elements of analysis and design · Traditional analysis methods · Stability · Dynamics
Related Categories	Analysis Method