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Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

Document Description: Strain Analysis (Part - 2) - Machine Design for Mechanical Engineering 2022 is part of Mechanical Engineering preparation. The notes and questions for Strain Analysis (Part - 2) - Machine Design have been prepared according to the Mechanical Engineering exam syllabus. Information about Strain Analysis (Part - 2) - Machine Design covers topics like and Strain Analysis (Part - 2) - Machine Design Example, for Mechanical Engineering 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Strain Analysis (Part - 2) - Machine Design.

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Relations between E, G and K

The largest maximum shear strain and shear stress can be given by Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

Considering now the hydrostatic state of stress and strain we may write

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering Substituting Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering in terms of Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering we may write 

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

 

Elementary thermoelasticity

So far the state of strain at a point was considered entirely due to applied forces. Changes in temperature may also cause stresses if a thermal gradient or some external constraints exist. Provided that the materials remain linearly elastic, stress pattern due to thermal effect may be superimposed upon that due to applied forces and we may write

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

It is important to note that the shear strains are not affected directly by temperature changes. It is sometimes convenient to express stresses in terms of strains. This may be done using the relation  Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering  Substituting the above expressions for εx , εy and εwe have.

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

and substituting  Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering we have 

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

Combining this with  Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering we  have Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

Substituting  Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering we may write the normal and shear stresses as

Strain Analysis (Part - 2) - Machine Design Notes - Mechanical Engineering

These equations are considered to be suitable in thermoelastic situations.

 

 

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