The form of differential equation related with beam analysis is Lω(χ) = f(χ), where is a linear differential operator. The term related with distributed loads in D.E. is f(χ), which is continuous and differentiable function. As concentrated load and moment load can be expressed, using the Generalized Function, in terms of equivalent distributed loads, thermal loads also can be expressed in the form of Generalized Functions in f(χ). For example, the curvatures of the point thermal load and distributedthermal load can be expressed in terms of δ₀(χ) and δ₁(χ) respectively. After two times differentiation of the curvatures, thefinal forms related with thermal loads in f(χ) are δ-2(χ) and δ-1(χ). How it is easy and simple to use the Generalized Functions in thermal loaded beam analysis is shown in several examples.
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