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in the name of allah

Lecture by : LT “Sayed Dawod karimi” dawodkarimi2007@gmail.com 0799560376. in the name of allah. For NMAA and Kardan University Faculty of Engineering. Axial Loads – Displacement, Deformation, and Strain. 1. Learning Objectives

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in the name of allah

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  1. Lecture by : LT “Sayed Dawod karimi” dawodkarimi2007@gmail.com 0799560376 in the name of allah For NMAA and Kardan University Faculty of Engineering

  2. Axial Loads – Displacement, Deformation, and Strain. • 1. Learning Objectives • At the end of this lecture you should be able to: • Distinguish between displacement, deformation, and strain. • Understand the physical phenomena that cause strain in structural members. • Calculate axial and shearing strain in centrically axially loaded members subjected to changes in both stress and temperature.

  3. 2. Orientation • The concept of strain and the relationship between stress and strain are critical to engineering design. As yet, engineers are not able to directly measure stress. All materials testing is based on strain. During laboratory tests, the deformation of load cells is measured. If the engineer knows the relationship between stress and strain for the material the load cell is made of, the engineer calculate corresponding values of stress and thus force.

  4. 3. Reading Assignment • 4.5, 4.6, 4.7, Review 4.4

  5. 4. Key Definitions • Displacement: A vector quantity that represents motion of individual points in a body with respect to a reference system • Deformation: Denoted by the symbol, δ, deformation is the change in dimension between individual points in a body subjected to displacement. According to this definition, a rigid body cannot undergo deformation. • Coefficient of Thermal Expansion: Denoted by the symbol, α, this material property represents the thermal strain due to a one degree centigrade change in temperature. Values of α for various common engineering material are tabulated in Appendix A of you text. • Uniform member: A structural member whose cross section remains constant along its length. Strain along the length of an axially loaded uniform member is assumed to be constant. • Non-uniform Member: A structural member whose cross section varies along its length.

  6. 5. Study Problems • 4.48, 4.54, 4.61

  7. 6. Challenge Problems • 4.69

  8. End of lesson Question

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