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Stress & Strain: Axial Loading

Stress & Strain: Axial Loading. Suitability of a structure or machine may depend on the deformations in the structure as well as the stresses induced under loading. Statics analyses alone are not sufficient.

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Stress & Strain: Axial Loading

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  1. Stress & Strain: Axial Loading • Suitability of a structure or machine may depend on the deformations in the structure as well as the stresses induced under loading. Statics analyses alone are not sufficient. • Considering structures as deformable allows determination of member forces and reactions which are statically indeterminate. • Determination of the stress distribution within a member also requires consideration of deformations in the member.

  2. Normal Strain

  3. Stress-Strain Test

  4. Stress-Strain Diagram: Ductile Materials

  5. From Hooke’s Law: • From the definition of strain: • Equating and solving for the deformation, • With variations in loading, cross-section or material properties, Deformations Under Axial Loading

  6. SOLUTION: • Divide the rod into components at the load application points. • Apply a free-body analysis on each component to determine the internal force • Evaluate the total of the component deflections. Determine the deformation of the steel rod shown under the given loads.

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