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DLX 03: Planar frame – dynamic response

DLX 03: Planar frame – dynamic response

Description

Material		Modulus of elasticity	$E=200 000 N/mm^2$
		Density	$\rho=7800 kg/m^3$
		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	Area	$A = 2872 mm^2$
		Moment of inertia	$I = 19 400 000 mm^4$
	Boundary conditions	Points A	Simple supports
Loads		In point C	Sinusoidal force with amplitude $F=100kN$ and frequency of $12.732Hz$ Damping: 5%
Mesh		No. of divisions	20

Results

Eigen modes

Eigen mode¹	Shape	Independent reference	Diamonds¹	Difference
1		16.46Hz	16,33Hz	-0,79%
2		38,17Hz	36,66Hz	-3,96%

¹ Only the modes relevant for the dynamic response are listed in this table

Dynamic response

Deformation $\delta_y$ due to the dynamic load in Diamonds

Location	Which result	Independent reference	Diamonds	Difference
B	Deformation $\delta_y$	98 mm	99,8mm	1.84%
C	Deformation $\delta_y$	227 mm	225,2mm	-0,79%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 08: grillage plan de poutres.

Tested in Diamonds 2026.

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