Analysis of a Plate with Critical Point of Max. and Min
Any device or object that is designed and manufactured is expected to operate as advertised over a
stated length of time. If the product does not function as expected then it is considered a failure. Failure can have many reasons. Failure is usually associated with reliability - the expression of
confidence that the product will deliver on its expectation. Failure also has a practical side effect which is best attributed to Taguchi :”When a product fails, you
must replace it or fix it. In either case, you must track it, transport it, and apologize for it. Losses will be
much greater than the costs of manufacture, and none of this expense will necessarily recoup the loss
to your reputation”. Failure is serious business and designing for actual failure is impossible because of so many
variables. Instead we try and ensure that the design meets the Failure Criteria. There is no unique
criteria and the designer usually satisfies the failure criteria that is appropriate for the type of the
product and its underlying design. Many failure criteria are based on principal stresses rather than the standard engineering stress and
strain. Since we can calculate the principal stress form the value of the engineering stress and strain
at every point, we examine some of the popular failure criteria. Prior to application of such criteria we
should also consider the fact that if the design is stretched beyond the elastic domain then the residual
strain on the structure changes the design forever. If the bridge does not return back to its original
state it is likely to cause additional problems in many ways
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