Linear Static Analyses

Linear static analysis is the basis for many more complicated analyses and is acceptable for situations in which loads do not result in stresses beyond the elastic region of the material.

For analyses beyond the elastic range, linear analyses are used to confirm excessive stress and to perform model checks such as mesh sensitivity analyses, model continuity, and boundary condition and load application.

For most problems in industrial applications, the desire is to remain in the elastic region. For those applications, linear analysis is generally acceptable (assuming small deflections) for design iterations. Safety factors are applied to the particular application in accordance with industry standards (i.e. heavy lifts overhead may require a safety factor as high as 5 while combat loads on military craft may require 1.1 or less). Each application must be independently assessed to determine the appropriate implementation of a static analysis. Once it is determined that a static analysis will satisfy design requirements, a model is built and descretized as mentioned in the general analysis information. Then boundary conditions and static loads are applied, the analysis performed, and the results post-processed (investigating the results).

This grade 5 carbon steel union has a yield strength of approximately 92,000 psi.  When subjected to a nominal internal pressure and unit compressive force, the stress of approximately 35 ksi is still well below material yield strength.  Therefore, a linear static analysis is appropriate.

Borowski Engineering & Analytical Services, Inc.
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