Apply Generalized Step Function to Solve the Bending Problem of Statically Indeterminate Beams with Variable Flexural Rigidity

Lin Xin-san; Xu Bao-yuan; Xiong Huan-guo

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Article Navigation > Applied Mathematics and Mechanics > 1981 > 2(3): 339-346

Lin Xin-san, Xu Bao-yuan, Xiong Huan-guo. Apply Generalized Step Function to Solve the Bending Problem of Statically Indeterminate Beams with Variable Flexural Rigidity[J]. Applied Mathematics and Mechanics, 1981, 2(3): 339-346.

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Apply Generalized Step Function to Solve the Bending Problem of Statically Indeterminate Beams with Variable Flexural Rigidity

Shanghai Part-time Institute of Technology, Shanghai

Received Date: 1980-03-26
Publish Date: 1981-06-15

Abstract

Abstract

The present paper defines a generalized step function {x-a}ⁿ and the reciprocal of bending rigidity of beams 1/EJ as well as the bending moment are expressed in such a form {x-a}ⁿ,Thus a general procedure for calculating the deformation of all types of straight beams is given and the general form of equation of elastic curve of beams is obtained.

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References(6)

References

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