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Validation: beams on elastic soil foundation and two simple supports with various loads

Description

Material Steel Modulus of elasticity E=210 000 N/mm^2
Geometry Cross-section Moment of inertia I=100 000 000 mm^4
Boundary conditions Subgrade k=840 kN/m/m
In points A and C R_y fixed
Loads In point B F=10 kN
In points A en C M=15 kNm
On the entire beam p=5 kN/m

Results

Bending moment M_y in Diamonds

Point Which result Independent reference Diamonds Difference
A Angular rotation \varphi_z -0,003045rad -0,003045rad 0,00%
A Vertical reaction R_y 11,674kN 11,687 kN 0,11%
B Deformation \delta_y -4,23326mm  -4,23273mm -0,01%
B Bending moment M_y -33,840kNm -33,835kNm -0,01%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 16: poutre sur sol élastique, avec extrémités articulées.
  • Tested in Diamonds 2023r01.

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