Subject · Mechanical engineering-bachelor

Materials resistanceTopics

İF-3841m6 creditsSpring semesterMandatory2025-2026

Topic plan

The subject's topics and the learning outcomes attached to each one.

14 topics

1. Introduction to resistivity of materials, basic concepts and assumptions. calculation scheme. external and internal forces. deformation and displacements. method of cuts, types of deformation. tensions.
2. Tension and compression. determination of internal force and stresses. transverse and longitudinal deformations. poisson's coefficient. hooke's law in tension and compression.
3. Tensile diagram. reserve factor. stresses in inclined sections in central tension and compression. the law of duality of tangential stresses. potential energy of deformation in tension and compression.
4. Statically insoluble systems in central tension and compression. installation stresses. stresses caused by temperature fluctuations.
5. Sliding (cutting). net slippage. hooke's law in sliding. geometric characteristics of flat sections. static and moments of inertia (inertia) dependencies between moments of inertia with respect to parallel axes. moments of inertia of some simple sections. moments of resistance.
6. Torsional deformation. torsion of a cross-section of a circular cross-section. tangent stress in torsion. calculation of stiffness and strength of shafts. potential energy of deformation in torsion.
7. Do not bend. bending of a rectilinear bruce. internal force factors in the cross section of the beam in bending. differential dependencies between mz, qz and q. construction of bending moment and shear force graphs.
8. Tilt and turn angle. differential equation and integration of the bent axis. the universal equation of the beam's bent axis. castigliano's theorem. maxwell-moore method.
9. Vereshshagin's method. reciprocity theorem of works and displacements.
10. A tense situation. a tense situation at the point. stresses in inclined sections under plane stress.
11. Volumetric stress state. generalized hooke's law. durability theories. maximum tangential (iii) stresses and energetic (iv) strength theories.
12. Complex resistance. left bend. the combined effect of bending and torsion.
13. Endurance. neck bend. euler's and yasinski's formulas for the crisis force, areas of application. calculation of stability of the bar.
Lecture
14. Statically insoluble beams in bending. the method of forces. basic system. canonical equations of force method. eccentric tension and compression.

Materials resistanceTopics

Topic plan

1. Introduction to resistivity of materials, basic concepts and assumptions. calculation scheme. external and internal forces. deformation and displacements. method of cuts, types of deformation. tensions.

2. Tension and compression. determination of internal force and stresses. transverse and longitudinal deformations. poisson's coefficient. hooke's law in tension and compression.

3. Tensile diagram. reserve factor. stresses in inclined sections in central tension and compression. the law of duality of tangential stresses. potential energy of deformation in tension and compression.

4. Statically insoluble systems in central tension and compression. installation stresses. stresses caused by temperature fluctuations.

5. Sliding (cutting). net slippage. hooke's law in sliding. geometric characteristics of flat sections. static and moments of inertia (inertia) dependencies between moments of inertia with respect to parallel axes. moments of inertia of some simple sections. moments of resistance.

6. Torsional deformation. torsion of a cross-section of a circular cross-section. tangent stress in torsion. calculation of stiffness and strength of shafts. potential energy of deformation in torsion.

7. Do not bend. bending of a rectilinear bruce. internal force factors in the cross section of the beam in bending. differential dependencies between mz, qz and q. construction of bending moment and shear force graphs.

8. Tilt and turn angle. differential equation and integration of the bent axis. the universal equation of the beam's bent axis. castigliano's theorem. maxwell-moore method.

9. Vereshshagin's method. reciprocity theorem of works and displacements.

10. A tense situation. a tense situation at the point. stresses in inclined sections under plane stress.

11. Volumetric stress state. generalized hooke's law. durability theories. maximum tangential (iii) stresses and energetic (iv) strength theories.

12. Complex resistance. left bend. the combined effect of bending and torsion.

13. Endurance. neck bend. euler's and yasinski's formulas for the crisis force, areas of application. calculation of stability of the bar.

14. Statically insoluble beams in bending. the method of forces. basic system. canonical equations of force method. eccentric tension and compression.