Контрольные примеры

Curved Beam with Out-of-Plane Loading

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.

Helical Spring

Closely coiled helical spring is loaded by a compression force. The spring has a middle diameter D, the wire diameter d, and it consists of i turns. The total length of the spring is L. Determine the total deflection of the spring for the member model and one‑turn deflection for the solid model.

Center of Gravity

VE 0081 16. октября 2017 RFEM Стержень Пластина Тело

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

Bimetallic Strip

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

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 Rectangular Plate

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

Combined Loading – Reduced Stress

A cantilever with circular cross‑section is loaded by a concentrated bending force and torque. The aim of this verification example is to compare the reduced stress according to the von Mises and Tresca theories.

Glass-Foil-Glass-Gas-Glass Plate

A composite plate, consisting of three glass layers, one foil layer and the inner space with the dry air is fully fixed and loaded with the variable temperature. Neglecting it's self-weight, determine plate's maximum deflection.

Two-Dimensional Plasticity

Determination of the maximum deformation of the wall divided in the middle to the two parts. The upper and the lower part are made of an elasto-plastic and an elastic material respectively and both end planes are restricted to move in the vertical direction. Wall's self-weight is neglected, its edges are loaded with horizontal pressure ph and the middle plane by vertical pressure.

Loaded Plastic Beams with Decaying Stress-Strain Curve

Four columns are fixed at the bottom and connected by the rigid block at the top. Block is loaded by the pressure and modeled by an elastic material with high modulus of elasticity. Outer columns are modeled by linear elastic material and inner columns by a stress-strain diagram with the decaying dependence. Assuming only small deformations theory and neglecting structure's self-weight, determine its maximum deflection.

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