This lesson covers the concept of beam on elastic foundation and its applications in various fields. It discusses how pipelines are made up of different segments, which can be of different geometry or made up of different materials. The lesson also explains how these materials have different coefficients of thermal expansion, leading to mismatch in expansion and resulting in stresses. The lesson further delves into the analysis of beam on elastic foundation, explaining how to calculate the deformation of the beam and the stresses in it. It also provides an illustrative example of a semi-infinite beam subjected to concentrated load and bending moment, explaining how to calculate the deflection, slope, bending moment, and shear force.

- Beam on elastic foundation has numerous applications, especially in the construction of pipelines.
- Different materials used in the construction of pipelines have different coefficients of thermal expansion, leading to mismatch in expansion and resulting in stresses.
- The analysis of beam on elastic foundation helps in calculating the deformation of the beam and the stresses in it.

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