Cylindrical Shell Roof

Description

Determine the vertical deflections across the midspan of a shell roof under its own weight. Dimensions and boundary conditions are shown in the figure below. The radius of curvature of the shell is R = 25 ft.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_4.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 0.25 ft - Thin formulation.

Material Properties

Modulus of elasticity = 3 X 106 psi, Poisson's ratio = 0, Density = 0.2083 lbs/in3.

Modeling Hints

Due to symmetry, a quarter of the shell is considered for modeling. The shell weight is applied as a gravity loading.

Results

The vertical displacement (UX) at midspan of the free edge is compared to analytical value:
 

Theory

SOLIDWORKS Simulation

X Deflection at midspan of the free edge (UX), ft -0.3024 -0.3009

Reference

Pawsley, S. F., “The Analysis of Moderately Thick to Thin Shells by the Finite Element Method, Report No. USCEM 70-l2, Dept. of Civil Engineering, University of California, l970.