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  6. SLX 08: simply supported thin arc under inplane bending

SLX 08: simply supported thin arc under inplane bending

Description

Material Modulus of elasticity E = 200 000 N/mm^2
Poisson’s ratio \nu= 0.3
Geometry Cross-section Tube d_i = 16mm
d_e = 20mm
Boundary conditions In point A Simple support
In point B Roller support
Loads In point C F = 0.1kN

Note: the arc is approximated with 16 line segments

Results

Horizontal deformation \delta_x in Diamonds

Point Which result Independent reference Diamonds Difference
A Angular displacement \varphi_z -0,030774 rad -0,030898 rad 0,40%
B Angular displacement \varphi_z 0,030774 rad 0,030898 rad 0,40%
B Horizontal deformation \delta_x 53,913mm 53,826mm -0,16%
C Deformation \delta_y -19,206mm -19,250mm 0.23%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 08: arc mince bi-articulé en flexion plane.
  • Tested in Diamonds 2023r01.

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