# Контрольные примеры

## Thin Rectangular Orthotropic Plate Under Uniform Load

VE 0091 10. июля 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.

## Curved Beam with Distributed Loading

VE 0087 20. февраля 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.

## Curved Beam with Out-of-Plane Loading

VE 0086 20. февраля 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. декабря 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. октября 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. октября 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).

## Truss Structure with Thermal Loading

VE 0076 18. июля 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 Membrane

VE 0108 2. мая 2017

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

## Natural Vibrations of Rectangular Membrane

VE 0107 2. мая 2017

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

## Natural Vibrations of Rectangular Plate

VE 0110 2. мая 2017

A rectangular steel plate of dimensions is simply supported at its edges. Determine the natural frequencies of the rectangular plate.

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