Acta Mechanica Solida Sinica

, Volume 23, Issue 1, pp 57–65

# Effective flange width of simply supported box girder under uniform load

Article

## Abstract

A new method for the determination of effective flange width under uniform load on simply supported box girder bridges considering shear lag effect is proposed in this paper. Based on the Symplectic Elasticity method, the flange slab of the box girder is simplified into a plane stress plate. Using equilibrium conditions of the plates, the Hamilton dual equations for top plate element is established. The analytical formulas of each plate element considering shear lag effect are derived. The closed polynomial effective width expression of flange slab under uniform load on the whole span length has been obtained. Through examples using the finite element method, the results obtained by the proposed method are examined and the accuracy of the proposed method is verified.

## Key words

box girder effective flange width analytical solution Saint-Venant problem

## References

1. [1]
Reissner, E., Analysis of shear lag in box beams by the principle of minimum potential energy. Quarterly of Applied Mathematics, 1946, 5(3): 268–278.
2. [2]
Malcolm, D.J. and Redwood, R.G., Shear lag in stiffened box girders. Journal of Structural Division, ASCE, 1969, 96(ST7): 1403–1415.Google Scholar
3. [3]
Tenchev, R.T., Shear lag in orthotropic beam flanges and plates with stiffeners. International Journal of Solids and Structures, 1996, 33(9): 1317–1334.
4. [4]
Tahan, N. and Pavlovic, M.N., Shear lag revisited: The use of single Fourier series for determining the effective breath in plated structures. Computer and Structures, 1997, 63: 759–767.
5. [5]
Lee, C.K. and Wu, G.J., Shear lag analysis by the adaptive finite element method: 1. Analysis of simple plated structures. Thin-Walled Structures, 2000, 38: 285–310.
6. [6]
Lee, C.K. and Wu, G.J., Shear lag analysis by the adaptive finite element method: 2. Analysis of complex plated structures. Thin-Walled Structures, 2000, 38: 311–336.
7. [7]
Luo, Q.Z., Tang, J., Li, Q.S., Liu, G.D. and Wu, J.R., Membrane forces acting on thin-walled box girders considering shear lag effect. Thin-Walled Structures, 2004, 42: 741–757.
8. [8]
Zhong, W.X., Dual System of Applied Mechanics. Beijing: Science Press, China, 2002.
9. [9]
Timoshenko, S.P. and Goodier, J.N., Theory of Elasticity. 3rd ed. NewYork: McGraw-Hill, 1970.
10. [10]
Zhong, W.X. and Yao, W.A., analytical solutions on saint-venant problem of layered plates. Acta Mechanica Sinica, 1997, 29: 617–626.Google Scholar
11. [11]
Yao, W.A., Zhong, W.X. and Su, B., New solution system for circular sector plate bending and its application. Acta Mechanica Solida Sinica, 1999, 12(4): 307–315.Google Scholar