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0041-A-Eigenwertanalyse einer Platte

Roland Sauer | Roland Sauer | Casimir Katz | Alexander Meierhofer

A0 Classification

Class	Analytical Verification Example
Type of structure	Plate or Shell Structure-Slab
Mechanics	Dynamics-Modal Analysis
Material law	Linear-Elastic
Building material	Concrete, Reinforced Concrete, Pre-Stressed Concrete
Design type	Dynamic Design
Design code	keine Norm
Status	published on 29-04-2022 and qualified on 04-04-2024

A1 Problem description

Das System besteht aus einer 0,18 m dicken Betonplatte mit den Abmessungen 6,0 x 12,0 m. Die Platte ist an allen vier Seiten vertikal unverschieblich gestützt (soft support).
Es werden die ersten 6 Eigenfrequenzen und Eigenformen der Platte unter ihrem Eigengewicht gesucht.

System	L x B = 12 m x 6 m
Querschnitt	d = 0,18 m
Elastizitätsmodul	E = 30 x 10³ MPa
Querkontraktionszahl	$\small \nu$ = 0,2
Wichte	G = 25,0 kN/m³

A5 References

[1] Flesch R., Baudynamik: praxisgerecht. Band 1: Berechnungsgrundlagen, Bauverlag, 1997, S. 96.

[2] Flesch R., Baudynamik: praxisgerecht. Band 2: Anwendungen und Beispiele, Bauverlag, 1993, S. 31.

[3] Prof. Dr. Wandinger, FH Landshut, Elastodynamik 2, Kap. 4, https://wandinger.userweb.mwn.de/LA_Elastodynamik_2/, 01-05-2007

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