### Objectives of engineering analysis: During the design and development of a product, the analyst is required to:

- Calculate the displacement field.
- determine the stress distribution (hence predict the strength).
- determine the natural frequencies and associated modes of vibration.
- determine the critical buckling loads.
- plot forced vibration responses.
- plot transient response.
- plot temperature distribution (thermal stress distribution).
- predict crack growth, residual strength and fatigue strength and fatigue life.
- study nonlinear effect (geometric, boundary and material non-linearity).

**Methods of engineering analysis:**

To achieve the objectives of an analysis, there are three distinct approaches:

- Analytical methods
- Experimental techniques
- Numerical methods.

Analytical methods provide quickly closed form solutions but they limited only to simple geometries and idealized boundary and loading conditions. The experimental technique is a costly approach where scaled models or prototypes are tested. The cost involves, setting up the model, instrumentation, test facilities, and the testing cost itself. Numerical methods require very few restrictive assumptions, it can treat complex geometries and realistic support and loading conditions. they are far moe cost effective than experimental techniques. The goal of engineering analysis is to verify a design prior to manufacturing. while there are several methods of engineering analysis, the most comprehensive is the finite element analysis (FEA)

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