What is shape factor in plastic analysis?
What is shape factor in plastic analysis?
Shape factor is defined as the ratio of the plastic moment and the yield moment of the section. It is a function of the cross-section form or shape and is represented by S.
What does shape factor indicate?
From Wikipedia, the free encyclopedia. Shape factor refers to a value that is affected by an object’s shape but is independent of its dimensions. It may refer to one of number of values in physics, engineering, image analysis, or statistics.
What are fracture parameters?
There are three different fracture parameters that may be used to describe both the crack driving force and the fracture toughness: the stress intensity factor K, the crack tip opening displacement (CTOD) δ, and the J integral.
How do you calculate shape factor?
How to Calculate Shape Factor
- Measure the area of the face of the object where the load is being applied (load face).
- Measure the cumulative area of all faces that can bulge (i.e., perpendicular to the load face) when the load is applied (bulge face).
- Divide the area of the load face by the area of the bulge face.
Can shape factor be less than 1?
Shape factors are dimensionless quantities used in image analysis and microscopy that numerically describe the shape of a particle, independent of its size. Shape factors are often normalized, that is, the value ranges from zero to one.
What is shape factor and load factor?
Load factor is the ratio of ultimate collapse load to the working load that can be applied on the structure. Load Factor = Factor of safety x Shape factor. The shape factor of a member solely depends upon the geometry of the cross sectional area, so the load factor also depends on the geometrical shape of the member.
What is a good shape factor?
A shape factor equal to one usually represents an ideal case or maximum symmetry, such as a circle, sphere, square or cube.
What is shape factor in strength of materials?
Shape factor is the ratio of a plastic moment(Mp) to elastic moment(Me) OR we can say that it is the ratio of plastic section modulus(Zp) to elastic section modulus(Ze). Shape factor shows the extra strength or moment possessed by a section, that is the strength or moment beyond yield point.
What is plastic zone?
The region beyond the rupture zone associated with crater formation resulting from an explosion in which there is no visible rupture, but in which the soil is permanently deformed and compressed to a high density.
What is K in fracture mechanics?
The stress intensity factor (K) is used in the field of fracture mechanics. It predicts stress intensity near the tip of a crack caused by a remote load or residual stresses.
What is the ratio of shape factor?
What is shape factor in particle size?
Shape factors are dimensionless quantities used in image analysis and microscopy that numerically describe the shape of a particle, independent of its size. Shape factors are calculated from measured dimensions, such as diameter, chord lengths, area, perimeter, centroid, moments, etc.
How to calculate the plastic section modulus of structural members?
Calculation of the Plastic Section Modulus Using the Computer DOMINIQUE BERNARD BAUER ABSTRACT A simple spreadsheet is presented which calculates the plas tic section modulus of structural members. The method con sists in dividing the cross section into rectangles and arrang ing all calculations conveniently into a spreadsheet program.
What is the shape factor of plastic?
It is no secret (it is defined in most of the references) that the shape factor ‘k’ is equal to the plastic section modulus divided by the elastic section modulus – so it is an expression of the plastic bending capacity over the elastic bending capacity.
How do you calculate load factor in plastic theory?
Load Factor = Factor of Safety × Shape Factor. In the analysis of structures by plastic theory, the following conditions must be satisfied: Conditions of equilibrium shall be satisfied. Resultant of all forces on the structural member shall be equal to zero. Resultant of all moments shall be equal to zero.
How do you find the moment of resistance in plastic?
Let Plastic moment of resistance = M p = ƒ y Z p, where Z p = Plastic modulus of the section. Let allowable moment = M a = ƒ a Z, where Z = Section modulus of the section. Load Factor = Factor of Safety × Shape Factor.
