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In the middle of the wall, there are 12 small eyes that are regularly hewn into a butterfly shape, and Nika explains: "This is calculated according to Hooke's law, and theoretically it is not a problem to easily penetrate the wall as long as you drill through these holes first." Prison Break talks about Hooke's law of mechanics, which is a knowledge point in material mechanics, and the specific calculation is more complicated.
I remember watching a documentary before, about the blasting method, on a solid large concrete structure, by calculating the key stress points, and then punching holes in these stress points, and then putting in the minimum amount of explosives required for detonation, detonating, the result of detonation is to cause the smallest impact range of concrete, this blasting method is to determine the best effect of blasting through accurate calculations, so as not to affect other nearby buildings.
In PB, MS calculates the coordinates of several key stress points of the concrete wall, draws them on the face of the demon, and then maps them to the wall through projection. After opening up those stress points, the bearing force of the stress points is weakened, and naturally the wall is easy to break. MS studied civil engineering, which should be familiar to him.
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Hooke's law of elasticity states that within the elastic limit, the elastic force f of a spring is proportional to the length x of the spring, i.e., f= is the elastic coefficient of the substance, which is determined by the properties of the material, and the negative sign indicates that the elastic force produced by the spring is opposite to the direction of its elongation (or compression).
There are two commonly used mathematical forms of generalized Hooke's law for isotropic materials:
11=λ(11+ε22+ε33)+2gε11,σ23=2gε23,22=λ(11+ε22+ε33)+2gε22,σ31=2gε31,(1)
33 (11 22 33) 2g 33, 12 2g 12, and where ij is the stress component; ij is the strain component (i,j 1,2,3); and g is the Lame constant, and g is also known as the shear modulus; e is the modulus of elasticity (or Young's modulus); v is the Poisson's ratio. , g, e, and v are related as follows: Eq. (1) applies to the problem of known strain stress, and Eq. (2) applies to the problem of known strain
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【Use Hooke's law to demolish the wall】Using Hooke's law, calculate the key stress points of the wall, and then drill holes at key positions, the load-bearing strength of the wall will be reduced, and finally the wall will be demolished.
Hooke's law is one of the fundamental laws of material mechanics and elastic mechanics. Hooke's law states that the unidirectional tensile deformation of a solid is proportional to the external force experienced by the material within the linear elastic range.
It can also be expressed as: when the stress is below the proportional limit, the stress in the solid is proportional to the strain, i.e. = where e is a constant, which is called the modulus of elasticity or Young's modulus. Applying Hooke's law to the three-way stress and strain states can be generalized Hooke's law.
Hooke's law laid the foundation for the development of elastic mechanics.
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There are two commonly used mathematical forms of generalized Hooke's law for homogeneous materials:
11=λ(11+ε22+ε33)+2gε11,σ23=2gε23,22=λ(11+ε22+ε33)+2gε22,σ31=2gε31,(1)
33 (11 22 33) 2g 33, 12 2g 12, and where ij is the stress component; ij is the strain component (i,j 1,2,3); and g is the Lame constant, and g is also known as the shear modulus; e is the modulus of elasticity (or Young's modulus); v is the Poisson's ratio. , g, e, and v are related as follows: Eq. (1) applies to the problem of known strain stress, and Eq. (2) applies to the problem of known strain
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Hooke's law, also translated as Hooke's law, is a fundamental law in the theory of mechanical elasticity, which states that after a solid material is subjected to a force, there is a linear relationship between the stress and strain (unit deformation) in the material. Materials that satisfy Hooke's law are called linear elastic or Hookean-type (English hookean) materials.
From a physical point of view, Hooke's law arises from the fact that the atoms inside most solids (or isolated molecules) are in stable equilibrium without external loading. f=-k·x or f=-k·δx. where is the total elongation (or reduction).
Hooke's law is named after the 17th-century English physicist Robert Hooke.
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Hooke's law of elasticity states that within the elastic limit, the elastic force f of the spring is proportional to the length of the spring, that is, f= is the elastic coefficient of the substance, which is determined by the properties of the material, and the negative sign indicates that the elastic force generated by the spring is opposite to the direction of its elongation (or compression). In order to prove this law, Hooke also did a lot of experiments, making elastomer sheds of various shapes made of various materials.
This law is in junior high school. Also called the law of elasticity,
From the definition and expression analysis, the expression of Hooke's law is f kx, where k is a constant, which is the stubbornness coefficient of the object, which is only related to the properties of the material; x is a deformation variable and has nothing to do with acceleration and deceleration. So as long as the ** elasticity range is true. >>>More
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