MindMap Gallery Mechanics of Materials
This is a mind map about materials mechanics, including an introduction to materials mechanics, Axial tension and compression, etc.
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This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
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Mechanics of Materials
Introduction to Mechanics of Materials
Basic concepts of mechanics of materials
Basic physical quantities such as stress, strain, and elastic modulus
Definition and Classification of Stress
Normal stress, shear stress, compressive stress, etc.
The relationship between stress and strain
Definition and Classification of Strain
Line strain, surface strain, volume strain, etc.
The relationship between strain and stress
Definition and classification of elastic modulus
Young's modulus, shear modulus, bulk modulus, etc.
Modulus of elasticity as a function of stress and strain
Basic laws of mechanics of materials
Basic laws such as Hooke's law, elasticity law, Poisson's ratio, etc.
The definition and scope of application of Hooke's law
Hooke's law formula and derivation process
Definition and scope of application of the law of elasticity
Elasticity law formula and derivation process
The definition and application scope of Poisson's ratio
Poisson's ratio formula and derivation process
Application of basic laws of mechanics of materials
Calculate stress, strain and elastic modulus
Analyze material mechanics problems
Axial Tension and Compression
Axial stretch
Stretching principle
Deformation of material during stretching
Generation and distribution of tensile force
Energy conversion during stretching
Stretching method
mechanical stretching
Hydraulic stretching
heat stretching
Stretch application
Stretch forming
Stretching test
Stretching
axial compression
Compression principle
Deformation of materials during compression
Generation and distribution of compressive force
Energy conversion during compression
Compression method
mechanical compression
hydraulic compression
thermocompression
Compression application
Compression molding
Compression test
Compression processing;
Geometric properties of plane figures
moment of inertia
Introduction
Moment of inertia is a physical quantity that measures the ability of an object to resist rotation.
The moment of inertia is related to the mass, shape and distribution of the object
Moment of inertia has important applications in engineering and physics
Calculation of moment of inertia
The calculation formula is I=∫r^2dm, where r is the distance to the center of mass and dm is the differential mass.
For objects with complex shapes, the integral method needs to be used to calculate the moment of inertia.
The calculation of the moment of inertia is very important in determining the moment of inertia of an object
The relationship between moment of inertia and moment of inertia
Moment of inertia is the physical quantity of an object's ability to resist rotation.
The moment of inertia is proportional to the moment of inertia, that is, J=Iω, where ω is the angular velocity
The calculation of the moment of inertia is very important for analyzing the rotational motion of an object
static moment
concept
Static moment is a physical quantity that measures the moment of inertia of an object about an axis.
The static moment is related to the mass, shape and center of mass position of the object
Calculation formula
The calculation formula for static moment is I = m * d^2
Mechanics of Materials Shear
Cut overview
cut definition
generation of shear force
direction of shear force
size of shear force
shear deformation
Characteristics of shear deformation
Types of shear deformation
shear stress
Definition of shear stress
Calculation of shear stress
Distribution of shear stress
Shear strength
Definition of shear strength
Calculation of shear strength
Factors affecting shear strength
Shear failure
Definition of shear failure
Types of shear failure
Preventive measures against shear damage
Shear test
Purpose of shear test
Shear test method
Analysis of results of shear test
The twist in mechanics of materials
twist concept
twist definition
Basic principles of twisting
Basic formula for twisting
Basic properties of torsion
Application range of torsion
Types of twist
Type of twist
twisted form of deformation
Torsional force form
Torsional deformation characteristics
The law of torsional deformation
Torsional deformation characteristics
Torsional stress analysis
torsional stress distribution
Torsional stress calculation
torsional stress formula
Torsional stress distribution law
torsional stress concentration
torsional stress concentration
Causes of stress concentration in torsion
Torsion strength calculation
torsional strength formula
torsional strength conditions
Torsional deformation analysis
The law of torsional deformation
Torsional deformation characteristics
The law of torsional deformation
Torsional deformation calculation
twist deformation formula
Torsional deformation calculation method
bending internal force
concept
Bending internal force is the internal force generated when an object bends under force.
Classification
Stretch internal force
Tensile internal force is the internal force generated when an object is subjected to a stretching force
compression internal force
Compression internal force is the internal force generated by an object when it is subjected to compression force
Shear internal force
Shear internal force is the internal force generated by an object when it is subjected to shear force
Calculation method
The bending internal force can be calculated by the stress formula
The stress formula is: σ = F/A
Influencing factors
Material properties
The elastic modulus, Poisson's ratio and other properties of the material will affect the bending internal force
Cross-sectional shape
The shape and size of the cross-section will affect the bending internal force
Stress condition
The magnitude, direction and point of action of the force will affect the bending internal force
application
engineering design
When designing a structure, it is necessary to consider the impact of bending internal forces on the structure
material selection
According to the requirements of bending internal force, select the appropriate material
Optimize design
By optimizing the structural design, the internal bending force is reduced and the stability and safety of the structure are improved;
bending stress
Overview
Definition of bending stress
Bending stress is the stress produced when an object is subjected to a bending force
Classification of bending stress
Classification according to stress properties
Normal stress and shear stress
Classification according to stress direction
Longitudinal stress and transverse stress
Factors affecting bending stress
Material properties
Elastic modulus, Poisson's ratio, etc.
Geometry
Cross-sectional shape, size, etc.
Loading conditions
Load size, direction, etc.
Calculation of bending stress
Formula introduction
Bending stress formula, shear stress formula, etc.
Calculation method
Integral method, analytical method, etc.
Calculation example
Calculation of bending stress of typical structures such as beams, plates, and shells
Application of bending stress
structural design
Structural optimization, strength check, etc.
failure analysis
Fatigue damage, fracture damage, etc.
assess safety
Structural safety factor, ultimate load-bearing capacity, etc.
Bending deformation
Overview of bending deformation
Definition of bending deformation
Type of bending deformation
Causes of bending deformation
Measurement of bending deformation
Measurement method of bending deformation
Bending deformation measuring instrument
Measurement standards for bending deformation
Stress state and strength theory
stress state
Definition of stress
Stress is the force within an object that resists deformation
The unit of stress is Pascal (Pa) or Megapascal (MPa)
Classification of stress
Normal stress and shear stress
Normal stress and tangential stress
Unidirectional stress and multidirectional stress
Stress state analysis
The purpose of stress state analysis
Methods of stress state analysis
intensity theory
Strength Theory Definition
Strength theory is the theory that studies the ability of materials to resist damage
Classification of Strength Theory
Elasticity theory, plasticity theory and fracture theory
Applications of Strength Theory
Application of strength theory in engineering design
Application of strength theory in materials research
Relationship between stress state and strength theory
Stress states are the basis of strength theory
Strength theory is an application of stress states
Application of stress state and strength theory in engineering design