# Verification Examples

## Thin Rectangular Orthotropic Plate Under Uniform Load

VE 0091 10 July 2018

Thin rectangular orthotropic plate is simply supported and loaded by the uniformly distributed pressure. The directions of axis x and y coincide with the principal directions. While neglecting self-weight, determine the maximum deflection of the plate.

VE 0087 20 February 2018

A curved beam consists of two beams with a rectangular cross-section. The horizontal beam is loaded by a distributed loading. While neglecting self-weight, determine the maximal stress on the top surface of the horizontal beam.

VE 0086 20 February 2018

A quarter-circle beam with a rectangular cross-section is loaded by means of an out-of-plane force. This force causes a bending moment, torsional moment and a transverse force. While neglecting self-weight, determine the total deflection of the curved beam.

## Eccentricity Test

VE 0090 4 December 2017

Pinned beam with rectangular cross‑section is subjected to distributed loading and shifted vertically by eccentricity. Considering small deformation theory, neglecting self‑weight, and assuming that the beam is made of isotropic elastic material, determine the maximum deflection.

## Center of Gravity

VE 0081 16 October 2017

Determine the y-position of the center of gravity for the given bodies, namely semicircle, half-disc, hemispherical shell and half-ball.

## Bimetallic Strip

VE 0078 12 October 2017

A bimetallic strip is composed of the invar and copper. The left end of the bimetallic strip is fxed, and the right end is free, loaded by temperature diﬀerence. While neglecting self-weight, determine the deﬂection of the bimetallic strip (free end).

VE 0076 18 July 2017

A truss structure consists of three rods - one steel and two copper joined by a rigid member. The structure is loaded by a concentrated force and by a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.

## Natural Vibrations of Circular Plate

VE 0109 2 May 2017

A circular steel plate is clamped around its circumference. Determine the natural frequencies of the circular plate.

## Natural Vibrations of Rectangular Membrane

VE 0107 2 May 2017

A rectangular membrane is tensioned by a line force. Determine the natural frequencies of the given membrane.

## Natural Vibrations of Circular Membrane

VE 0108 2 May 2017

A circular membrane is tensioned by a line force. Determine the natural frequencies of the circular membrane.

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