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SLL 07: Beam on elastic foundation, simply supported ends


Material Modulus of elasticity E=210 000 N/mm^2
Geometry Cross-section Moment of inertia I=100 000 000 mm^4
Boundary conditions In points A & C R_y fixed
Subgrade k=840 kN/m/m
Loads In points A & C M=15 kNm
In point B F=10 kN
On the entire beam p=5 kN/m
Mesh Number of divisions 20


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 Reaction R_y 11,674kN 11.678kN 0,03%
B Deformation \delta_y -4,23326mm -4.23273mm -0,01%
B Bending moment M_y 33,840kNm 33,835kNm -0,01%


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

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