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The U* index represents the internal stiffness of every point within the structure. Consequently, the line connecting the highest U* values is the main load path. In other words, the main load path is the ridge line of the U* distribution (contour). [1] The U* index theory has been validated through two different physical experiments. [3]
The major difference being that with the addition of a fourth bearing the portion of the beam between the two loading points is put under maximum stress, as opposed to only the material right under the central bearing in the case of three-point bending.
The bending stiffness is the resistance of a member against bending deflection/deformation. It is a function of the Young's modulus E {\displaystyle E} , the second moment of area I {\displaystyle I} of the beam cross-section about the axis of interest, length of the beam and beam boundary condition.
Stiffness depends upon material properties and geometry. The stiffness of a structural element of a given material is the product of the material's Young's modulus and the element's second moment of area. Stiffness is measured in force per unit length (newtons per millimetre or N/mm), and is equivalent to the 'force constant' in Hooke's Law.
Stiffness is the extent to which an object resists deformation in response to an applied force. [ 1 ] The complementary concept is flexibility or pliability: the more flexible an object is, the less stiff it is.
In mechanics, the flexural modulus or bending modulus [1] is an intensive property that is computed as the ratio of stress to strain in flexural deformation, or the tendency for a material to resist bending.
Futamura's deformation index can be defined as follows. is the parameter whose value is controlled (ie held constant). is Young's modulus of linear elasticity. is the strain. is the stress. . = =. Particular choices of yield particular modes of control and determine the units of . For =, we get strain control: = =. For =, we get energy control: = = =. For =, we get stress control ...
The book covers various subjects, including bearing and shear stress, experimental stress analysis, stress concentrations, material behavior, and stress and strain measurement. It also features expanded tables and cases, improved notations and figures within the tables, consistent table and equation numbering, and verification of correction ...