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Mathematics - Algebra

Mathematics - Geometry

Strength of materials

Physics - Dynamics

Soils

Design of structures

Tables, graphs, calculators

1. Mathematics - Algebra.

1) Measuring systems.

2) Addition, subtraction, multiplication and division in a column.

3) Addition, subtraction, multiplication and division of fractions.

4) Solving algebraic equations of 2, 3, 4 and 5 degrees.

2. Mathematics - Geometry.

2) Rectangle, parallelogram, rhombus, trapezoid.

3) Circle, ellipse.

4) Cube, parallelepiped.

5) Rectangular prism.

6) Rectangular pyramid.

3. Strength of materials.

1) Stress tensor.

4. Physics - Dynamics.

1) Oscillating body (vertical) with one degree of freedom.

2) Oscillating body (horizontal) with one degree of freedom.

3) Forced (harmonic) oscillations of a system with one degree of freedom.

4) Decomposition of the curve with Fourier coefficients (discrete Fourier transform).

5) Analysis of the approximate displacement method under impulse loads.

6) Oscillating frame with three degrees of freedom.

5. Soils.

1) Physical characteristics (properties) of soil.

2) Mechanical characteristics (properties) of soil.

3) Action of concentrated and uniformly distributed forces on a linear elastic half-plane.

4) Action of concentrated and uniformly distributed forces on a linearly elastic half-space.

5) Determination of critical pressures.

6) Foundation settlement.

7) A beam on an elastic foundation (flexible foundations).

8) Stability of artificial slopes.

9) Retaining wall.

6. Design of structures.

1) Range of accessories.

2) Conformity table (dependencies) of concrete grades and classes.

3) Anchoring and overlapping of reinforcement.

4) Building materials calculator.

5) Units of measurement.

6) Bending coefficient φ of a centrally compressed element.

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