Applied Mathematics and Mechanics

, Volume 28, Issue 7, pp 855–860

# Analytical solution for functionally graded anisotropic cantilever beam subjected to linearly distributed load

• Huang De-jin  (黄德进)
• Ding Hao-jiang  (丁皓江)
• Chen Wei-qiu  (陈炜球)
Article

## Abstract

The bending problem of a functionally graded anisotropic cantilever beam subjected to a linearly distributed load is investigated. The analysis is based on the exact elasticity equations for the plane stress problem. The stress function is introduced and assumed in the form of a polynomial of the longitudinal coordinate. The expressions for stress components are then educed from the stress function by simple differentiation. The stress function is determined from the compatibility equation as well as the boundary conditions by a skilful deduction. The analytical solution is compared with FEM calculation, indicating a good agreement.

## Key words

functionally graded plane stress problem stress function linearly distributed load analytical solution

O343.1

74B05

## References

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Ding H J, Huang D J, Chen W Q. Elasticity solutions for plane anisotropic functionally graded beams[J]. International Journal of Solids and Structures, 2007, 44(1):176–196.

© Editorial Committee of Appl. Math. Mech. 2007

## Authors and Affiliations

• Huang De-jin  (黄德进)
• 1
• 2
• Ding Hao-jiang  (丁皓江)
• 1
Email author
• Chen Wei-qiu  (陈炜球)
• 1
1. 1.Department of Civil EngineeringZhejiang UniversityHangzhouP. R. China
2. 2.Faculty of EngineeringNingbo UniversityNingboP. R. China