Explain in brief principle of Lundgren’s beam theory and its application for the analysis of cylindrical shell.
Answers
Answer:
Explanation:
It is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It is thus a special case of Timoshenko beam theory.
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The linear theory of elasticity is simplified to explain the calculation of load carrying Characteristics of a beam and also the deflection characteristics of Beam hence it is Timoshenko theory of beam. The simplification of the theory of elasticity helps in mean calculation for load carrying characteristics for the cylindrical shell analysis. Also helps in calculating deflection characteristics of cylindrical shell. Thus Lundgren’s theory can said to be based on the thin wall theory of the beam but for cylindrical shells.