Lecture_Energy_Method

Lecture_Energy_Method - Class Workbook and Handouts - MME...

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Class Workbook and Handouts - MME 412: Mechanics of Materials Prepared by: Kumar V. Singh -154- Introduction to the Energy Methods in Stress Analysis: For linear elastic object we know the relationship between the load and deflection. These relationships can also be used for obtaining a scalar quantity (energy). Therefore if the energy of the system can be quantified, several energy methods can be used for determining: o Deflection and slope of structures at any desired location o Reactions in statically indeterminate systems The following assumptions to be applied when energy based methods are used: o The structures are elastic and dissipate no energy o The structures have only one equilibrium configuration o The energy methods are valid for small displacement o Only static and conservative loads are considered Strain Energy: Figure 6.2-1 [1] Figure 6.2-2 [1]
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Class Workbook and Handouts - MME 412: Mechanics of Materials Prepared by: Kumar V. Singh -155- Figure 6.3-2 [1] Figure 6.3-2 [1]
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Class Workbook and Handouts - MME 412: Mechanics of Materials Prepared by: Kumar V. Singh -156- Figure 6.3-3 [1]
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Class Workbook and Handouts - MME 412: Mechanics of Materials Prepared by: Kumar V. Singh
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This document was uploaded on 11/04/2011 for the course MME 512 at Miami University.

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Lecture_Energy_Method - Class Workbook and Handouts - MME...

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