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THE MAIN CONDITION OF STRENGTH. ALLOWABLE VOLTAGE. HARDNESS CONDITION

Lecture



Answers to questions about strength can give an assessment of the strength of the structure, which is reduced to a comparison of the design stresses with the allowable ones:
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
These are the basic conditions of strength.
The design stress is the largest in magnitude compressive or tensile stress arising in a dangerous section of the structure.
Allowable stress.
Allowable stress is determined by the formula:
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
The mechanical characteristics of materials - the magnitude of the yield strength and tensile strength are determined empirically. Automatically plotted the graph "force - longitudinal deformation" (P -   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION l) This graph is translated into a stress-relative strain diagram.   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION .
Where   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION . (Here F 0 and l 0 is the initial cross-sectional area and the length of the standard sample) (Fig. 1.22).
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
Fig. 1.22
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - limit of proportionality; the greatest stress at which Hooke's law is still valid;
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - yield point (deformations grow without an increase in load);
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
Fig. 1.23
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - tensile strength or temporary resistance to rupture (Fig. 1 23).
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - ultimate tensile strength,
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - strength of compression, and:
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
When plastic material is used as the ultimate stress
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - accepted yield strength under tension   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION corresponding to the beginning of the material's fluidity, and in the case of a brittle material - ultimate strength   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION under tension or compression, preceding the sample break.
The denominator is the normative (required) safety factor relative to the yield strength and tensile strength n, respectively.
It is a value greater than one, depending on the class of the structure (capital, temporary, etc.), its service life, load (static, cyclic, etc.), possible non-uniformity of the material production and the type of deformation (tension, compression, bending, etc.).
The standard factor of safety is regulated for building structures of SN and Pami, for machine building - by internal factory norms. In most cases, it is assumed to be equal for plastic materials: n T = 1.5 + 2.5, for fragile materials, n B = 2.5 + 5.
In the case when the decisive for the strength of the structure are not normal, but the tangential stresses (for example, when torsion bar round cross-section), the strength condition is:
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - design shear stress.
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - allowable shear stress, determined by the formula:
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
In the case of plastic material as the ultimate   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION take shear yield strength   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION in the case of brittle material - ultimate strength   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION .
In most cases, the allowable stress in torsion is taken depending on the allowable stress in tension of the same material. For example, for steel   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION = 0.5 [   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION ] for cast iron   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION .
In the practice of engineering calculations, it is considered possible to allow overvoltage of the material up to 3-5%.
The stiffness condition is logically constructed in the same way as the strength condition. However, restrictions are imposed not on stresses, but on changing the shape of the rod (shaft, beam), i.e. deformations. For different types of loading, the conditions of rigidity have the form: under tension (compression)
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
torsional
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
Where   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - the angle of twist,
bending
  THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION
Where   THE MAIN CONDITION OF STRENGTH.  ALLOWABLE VOLTAGE.  HARDNESS CONDITION - angle of rotation, y - deflection.

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Content and basic concepts

Terms: Content and basic concepts