Контрольные примеры

A console made of round bar is loaded by means of eccentric uniform load. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.

A console made of round bar is loaded by means of eccentric transverse force. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.

A console made of round bar is loaded by means of eccentric axial force. Determine the maximal vertical deflection of the console using geometrically linear and second-order analysis.

A simply supported beam is loaded by means of pure bending. Determine the critical load and corresponding load factor due to lateral buckling.

A strut with circular cross-section is supported according to four basic cases of Euler buckling and it is subjected to pressure force. Determine the critical load.

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.

A single-mass system with dashpot is subjected to a constant loading force. Determine the spring force, the damping force and the inertial force at given test time. In this verification example, the Kelvin--Voigt dashpot, namely, a spring and a damper element in serial connection, is decomposed into its purely viscous and purely elastic parts, in order to better evaluate the reaction forces.

A column is composed of a concrete part - rectangle 100/200 and of a steel part - profile I 200. It is subjected to pressure force. Determine the critical load and corresponding load factor. The theoretical solution is based on the buckling of a simple beam. In this case two regions have to be taken into account due to different moment of inertia and material properties.

A single mass system with dashpot is subjected to the constant loading force. Determine the deflection and the velocity of the dashpot endpoint in given test time.

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.

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