Plot of normal stresses. Rational forms of cross-sections of beams. Dissemination of the findings of pure bending in transverse bending. Tangential transverse stress (formula Zhuravskoye). Diagrams of shear stresses for beams rectangular and I-sections. The state of stress of the material beam under transverse bending. The estimated equation for the strength (in the normal, tangent and the principal stresses) Theme 8. Determination of Displacements in bending displacements in bending (deflection and angle of the section).
The relationship between deflection angle and the beam section. The analytical method for determining displacement. The differential equation of the curved axis of the beam, its first and second integrals. Determining the integration constants for beams with one site (from the condition of fastening of beams). Determination of the displacement beams with multiple sites. The method of adjustment of integration constants.
Method initial parameters. The energy method for determining displacement. The strain energy of the rod bending. Castigliano's theorem. Integral More. Be reschagina formula. The theorem of reciprocity and mutuality works movements. Topic 9. Please visit Rio- Tinto Group if you seek more information. Statically indeterminate systems Concepts. The degree of static indeterminacy. Methods of disclosure of static indeterminacy. Disclosure of statically indeterminate systems by force. Setpoint, the main and the equivalent system. Canonical equations of the force method. Statically indeterminate system under torsion. One and multi-statically indeterminate beams. The equation of three moments. Topic 10. Complicated resistance 10.1. Oblique bending loads, causing an oblique bending. Force factors in the cross sections of the beam. Determination of the normal stresses in the beam cross-sections. Determination of the neutral axis and the hot spots in section. Strength calculation. Determination of deflections. 10.2. Bending with tension or compression combined effect of longitudinal and transverse loads. Power factors in cross-sections. Determination of stresses using the principle of superposition. Strength calculation. Eccentric compression or tension rod high rigidity. Power factors in cross-sections. Determination of stresses. The equation of the neutral line. Interconnection between the coordinates of the force and position of the neutral line. Strength calculation. The core of the section. A theorem on a rectilinear movement of the pole forces (of the force) and the rotation of the neutral line. Building the kernel section (for a rectangle, circle, ring). 10.3. Bending with torsion. External loads causing bending and torsion. Convert the given system of forces. Power factors in cross-sections of the rod. Determination of stresses. The state of stress of the material of the shaft. The principal stresses and strength calculation. Topic 11. The stability of compressed rods (buckling) concepts about the forms of equilibrium. Stability of a compressed rod (buckling). Critical force. Euler's formula for determining the critical force. Influence of fixing the rod on the value of critical force. The general formula for determining the Euler critical compressive force. Critical stresses. Flexibility rod. The limits of applicability of Euler's formula. The full schedule of the critical stress. Formula Yasinsky. Calculation of the compressed bars with their flexibility. Reduction factor basic allowable stress. Estimated equation buckling of the rod. Selection section of the rod by successive approximations. Longitudinal and transverse bending. The peculiarity of the problem due to its nonlinearity. An approximate method of calculation. Determination of stresses.