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Line 22f1fa19c3h Cauchy’s Stress Quadric Mohr’s Circle Plane Load Transfer 5g WOW SETI

October 15, 2012

Line 22f1fa19c3h Cauchy’s Stress Quadric Mohr’s Circle Plane Load Transfer 5g WOW SETI

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Math Equation Wow Seti 1977 radio signal alien

Wow SETI 1977 radio signal alien

11/111/1/1/14=0.0071

Google 0.0071

Google 11 111 1 1 14

Key words from Mohr’s circle method
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Cauchy’s stress quadric

Quotes from WIKi
Cauchy’s stress quadric
The Cauchy’s stress quadric, also called the stress surface, is a surface of the second order that traces the variation of the normal stress vector 

 as the orientation of the planes passing through a given point is changed.

Figure 8.3 – Transformation of stresses in two dimensions, showing the planes of action of principal stresses, and maximum and minimum shear stresses.

Figure 8.1 – Stress transformation at a point in a continuum under plane stress conditions.

Figure 8.2 – Stress components at a plane passing through a point in a continuum under plane stress conditions.

Figure 7.1 Plane stress state in a continuum.

Wiki qoute

Plane strain

Main article: Infinitesimal strain theory
If one dimension is very large compared to the others, the principal strain in the direction of the longest dimension is constrained and can be assumed as zero, yielding a plane strain condition (Figure 7.2).

In this case, though all principal stresses are non-zero, the principal stress in the direction of the longest dimension can be disregarded for calculations.

Thus, allowing a two dimensional analysis of stresses, e.g. a dam analyzed at a cross section loaded by the reservoir.

Load transfer
The evaluation of loads and stresses within structures is directed to finding the load transfer path. Loads will be transferred by physical contact between the various component parts and within structures.

The load transfer may be identified visually or by simple logic for simple structures. For more complex structures more complex methods, such as theoretical solid mechanicsor numerical methods may be required.

Numerical methods include direct stiffness method which is also referred to as the finite element method.
The object is to determine the critical stresses in each part, and compare them to the strength of the material (see strength of materials).

For parts that have broken in service, a forensic engineering or failure analysis is performed to identify weakness, where broken parts are analysed for the cause or causes of failure. The method seeks to identify the weakest component in the load path.

If this is the part which actually failed, then it may corroborate independent evidence of the failure.

If not, then another explanation has to be sought, such as a defective part with a lower tensile strength than it should for example.

Figure 7.2 Plane strain state in a continuum.

Transformation of stresses in two dimensions, showing the planes of action of principal stresses

Transformation of stresses in two dimensions, showing the planes of action of principal stresses


Stress transformation at a point in a continuum under plane stress conditions

Stress transformation at a point in a continuum under plane stress conditions

Stress components at a plane passing through a point in a continuum under plane stress conditions.

Stress components at a plane passing through a point in a continuum under plane stress conditions.


Plane stress state in a continuum.

Plane stress state in a continuum.

Plane strain state in a continuum.

Plane strain state in a continuum.

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