The problem of calculating rods for vector perturbations consisting of five components is solved: 1. kinematic transverse vibrations of the left end; 2. kinematic transverse vibrations of the right end; 3. dynamic bending moment at the left end; 4. dynamic bending moment at the right end; 5 dynamic uniformly distributed lateral load along the length of the rod. The transfer functions from each disturbance are obtained separately. Using these functions, we obtained the elements of the spectral matrix for stationary random processes, taking into account their correlation. The most common types of processes are considered: exponentially correlated random process; process with latent periodicity (with characteristic frequency); truncated white noise. The formula for obtaining the dispersion of displacement of sections is shown.

Keywords: rod, harmonic oscillations, natural frequency, kinematic disturbances, dynamic disturbances, transfer function, correlation matrix, random process, delta-correlated random process, latent periodicity, truncated white noise

Fibroenothobetons with the use of sawing volcanic tuff were investigated. The compositions of fibropenot phobetons with the use of nylon and basalt fibers have been developed, which allow to significantly reduce shrinkage deformations and increase the strength characteristics of foam phobeton. The maximum increase in compressive strength by 38% and during bending by 110% is observed in samples of fibroenophoto concrete with a reinforcement of 0.6% by volume with basalt fibers. The combination of nylon and basalt fibers is more effective for reducing the shrinkage of foam photon concrete compared to mono-reinforced samples.

Keywords: portland cement, tuff sawing waste, Neopor 400 frother, nylon and basalt fiber, polyheating, foam concrete, fibroenote sand concrete, bending and compression strength, shrinkage

The transverse vibrations of the beams of a constant cross section are taken into account, taking into account the damping. We consider random oscillations of a beam under the action of vector kinematic and dynamic effects. The examples show the influence of correlation coefficients on the standard deviations of the cross sections of a beam. The internal forces in the form of bending moments and transverse forces are determined. An example of an action of a random process with a latent periodicity is given

Keywords: Beam, damping, deflection, bending moment, shear force, random process, spectral matrix, correlation, vector, matrix, transfer function

The paper presents a new constructive solutions of concrete ribbed slabs with prestressed reinforcement coating , in which the edges stretched zones have stepped shape. This helps outline the cliff high prestressed reinforcement along the length of the element that allows you to increase the utilization rate of reinforcement in comparison with a standard solution.

Keywords: ribbed slabs covering equal resistance of prestressed reinforcement , stepped shape