STIFFNESS MATRIX FOR 3-NODE TRIANGULAR ELEMENT
•Download as PPTX, PDF•
3 likes•3,562 views
The document discusses the stiffness matrix for a 3-node triangular element. It provides the stiffness matrix that defines the relationship between forces and displacements for a basic 3-node triangular element used in finite element analysis. The matrix captures the element's geometric and material properties to model how it resists deformation when external forces are applied.
Report
Share
Report
Share
Recommended
ME6603 - FINITE ELEMENT ANALYSIS UNIT - III NOTES AND QUESTION BANK
ME6603 - FINITE ELEMENT ANALYSIS UNIT - III NOTES AND QUESTION BANK. THE QUESTION NUMBER WILL MATCH TO THE QUESTION BANK ATTACHED AT THE END OF NOTES
Lecture 2 principal stress and strain
The document discusses various topics related to stress and strain including: principal stresses and strains, Mohr's stress circle theory of failure, 3D stress and strain, equilibrium equations, and impact loading. It provides examples of stresses acting in different planes including normal, shear, oblique, and principal planes. It also gives examples of calculating normal and tangential stresses on an oblique plane subjected to stresses in one, two, or multiple directions with and without shear stresses.
Finite Element Analysis - UNIT-2
- The document discusses one-dimensional finite element analysis.
- It describes the derivation of shape functions for linear one-dimensional elements like a bar element. Shape functions define the variation of displacement within the element.
- The stiffness matrix, which represents the element's resistance to deformation, is also derived for a basic linear bar element. It is shown to be symmetric and its properties are discussed.
- Examples are provided to demonstrate calculating displacements at points within a one-dimensional element using the shape functions.
Strength of materials
Brief introduction to Strength of Materials Course (also known as Solid Mechanics in some institutions) as per importance in Civil Engineering.
Solid modelling
The document discusses different methods for modeling solid objects in 3D, including constructive solid geometry (CSG) and boundary representation (B-Rep). CSG uses boolean operations on primitive solids, represented as a tree structure, while B-Rep defines solids by their enclosing faces, edges and vertices with topological connectivity. Both have advantages such as unambiguous definitions but also challenges around complexity, storage or modeling restrictions. Hybrid approaches combine benefits of both methods.
Sm 5
This document contains information about stresses and Mohr's circle analysis:
1. It defines principal stresses and planes, and describes the uses of Mohr's circle in finding normal, resultant, and principal stresses and their planes.
2. Several example problems are presented involving calculating stresses on planes at various angles, determining principal stresses and maximum shear stresses, and drawing and using Mohr's circles to analyze two-dimensional stress systems.
3. Information is also provided about thin cylindrical shells, including the stresses induced in thin-walled cylinders under internal pressure and the assumptions made in their analysis.
Finite Element Analysis - UNIT-5
The document discusses isoparametric finite elements. It defines isoparametric, superparametric, and subparametric elements. It provides examples of shape functions for 4-noded rectangular, 6-noded triangular, and 8-noded rectangular isoparametric elements. It also discusses coordinate transformation from the natural to global coordinate system using these shape functions and calculating the Jacobian.
ME6603 - FINITE ELEMENT ANALYSIS
This document provides a question bank for the Finite Element Analysis course ME6603 taught at R.M.K College of Engineering and Technology. It contains 180 questions divided into two parts - Part A (short questions) and Part B (long questions). The questions cover the main topics of the course including the basic concepts and procedure of finite element analysis, discretization, element types, weighted residual methods, potential energy approach, and boundary conditions. Commercial FEA software packages and steps to use them are also discussed. The document aims to help students prepare for exams by providing a variety of questions related to the finite element method and its applications in engineering problems.
Recommended
ME6603 - FINITE ELEMENT ANALYSIS UNIT - III NOTES AND QUESTION BANK
ME6603 - FINITE ELEMENT ANALYSIS UNIT - III NOTES AND QUESTION BANK. THE QUESTION NUMBER WILL MATCH TO THE QUESTION BANK ATTACHED AT THE END OF NOTES
Lecture 2 principal stress and strain
The document discusses various topics related to stress and strain including: principal stresses and strains, Mohr's stress circle theory of failure, 3D stress and strain, equilibrium equations, and impact loading. It provides examples of stresses acting in different planes including normal, shear, oblique, and principal planes. It also gives examples of calculating normal and tangential stresses on an oblique plane subjected to stresses in one, two, or multiple directions with and without shear stresses.
Finite Element Analysis - UNIT-2
- The document discusses one-dimensional finite element analysis.
- It describes the derivation of shape functions for linear one-dimensional elements like a bar element. Shape functions define the variation of displacement within the element.
- The stiffness matrix, which represents the element's resistance to deformation, is also derived for a basic linear bar element. It is shown to be symmetric and its properties are discussed.
- Examples are provided to demonstrate calculating displacements at points within a one-dimensional element using the shape functions.
Strength of materials
Brief introduction to Strength of Materials Course (also known as Solid Mechanics in some institutions) as per importance in Civil Engineering.
Solid modelling
The document discusses different methods for modeling solid objects in 3D, including constructive solid geometry (CSG) and boundary representation (B-Rep). CSG uses boolean operations on primitive solids, represented as a tree structure, while B-Rep defines solids by their enclosing faces, edges and vertices with topological connectivity. Both have advantages such as unambiguous definitions but also challenges around complexity, storage or modeling restrictions. Hybrid approaches combine benefits of both methods.
Sm 5
This document contains information about stresses and Mohr's circle analysis:
1. It defines principal stresses and planes, and describes the uses of Mohr's circle in finding normal, resultant, and principal stresses and their planes.
2. Several example problems are presented involving calculating stresses on planes at various angles, determining principal stresses and maximum shear stresses, and drawing and using Mohr's circles to analyze two-dimensional stress systems.
3. Information is also provided about thin cylindrical shells, including the stresses induced in thin-walled cylinders under internal pressure and the assumptions made in their analysis.
Finite Element Analysis - UNIT-5
The document discusses isoparametric finite elements. It defines isoparametric, superparametric, and subparametric elements. It provides examples of shape functions for 4-noded rectangular, 6-noded triangular, and 8-noded rectangular isoparametric elements. It also discusses coordinate transformation from the natural to global coordinate system using these shape functions and calculating the Jacobian.
ME6603 - FINITE ELEMENT ANALYSIS
This document provides a question bank for the Finite Element Analysis course ME6603 taught at R.M.K College of Engineering and Technology. It contains 180 questions divided into two parts - Part A (short questions) and Part B (long questions). The questions cover the main topics of the course including the basic concepts and procedure of finite element analysis, discretization, element types, weighted residual methods, potential energy approach, and boundary conditions. Commercial FEA software packages and steps to use them are also discussed. The document aims to help students prepare for exams by providing a variety of questions related to the finite element method and its applications in engineering problems.
Constant strain triangular
constant strain triangular which is used in analysis of triangular in finite element method with the help of shape function and natural coordinate system.
Surface modelling
This document discusses different types of surface modelling techniques. Parametric surfaces and implicit surfaces are the two main types used in modelling systems. Parametric surfaces are defined by a set of coordinate functions, while implicit surfaces are defined by a polynomial equation. Common parametric surfaces include planes, ruled surfaces, surfaces of revolution, and B-splines. Multiple parametric surface patches can be joined to model more complex shapes. Surface modelling allows representing complex object geometries and is useful for mass properties calculation, interference detection, and finite element analysis.
ME6603 - FINITE ELEMENT ANALYSIS FORMULA BOOK
This document contains formulas and equations related to finite element analysis (FEA) for one-dimensional structural and heat transfer problems. It includes formulas for weighted residual methods, Ritz method, beam deflection and stress, springs, one-dimensional bars and frames, and one-dimensional heat transfer through walls and fins. Displacement functions, stiffness matrices, thermal loads, and conduction/convection equations are provided for linear and quadratic elements undergoing static structural and thermal analysis.
ME6603 - FINITE ELEMENT ANALYSIS UNIT - IV NOTES AND QUESTION BANK
This document contains a collection of practice problems related to finite element analysis of two-dimensional vector variable problems, including axisymmetric problems. The problems cover derivation of element stiffness matrices and strain-displacement matrices for various element types under different conditions, calculation of element stresses and displacements, modeling of cylinders under pressure, and determination of global stiffness matrices for structures. The elements and conditions include constant strain triangles, linear strain triangles, axisymmetric triangles, plane stress, plane strain, and shells.
Unit 3 design against fluctuation load
The document discusses stress concentration and fatigue failure in machine elements. It defines stress concentration as the localization of high stresses due to irregularities or abrupt changes in cross-section. Stress concentration can be reduced by avoiding sharp changes in cross-section and providing fillets and chamfers. Fatigue failure occurs when fluctuating stresses cause cracks over numerous load cycles. The endurance limit is the maximum stress amplitude that causes failure after an infinite number of cycles. Factors like stress concentration, surface finish, size, and mean stress affect the endurance limit. Designs should minimize stress raisers and protect against corrosion to prevent fatigue failures.
Finite Element Analysis - UNIT-4
This document discusses two-dimensional vector variable problems in structural mechanics. It describes plane stress, plane strain and axisymmetric problems, and provides the stress-strain relations for materials under these conditions. It also discusses thin structures like disks and long prismatic shafts. Additionally, it covers dynamic analysis and vibration of structures, describing free vibration, forced vibration and types of vibration. Equations of motion are developed using Lagrange's approach and the weak form method. Mass and stiffness matrices for axial rod and beam elements are also presented.
Fits, tolerance and surface roughness
This document discusses limit systems and fits used in engineering design. It covers important terms like nominal size and tolerance. There are three main types of fits: clearance, interference and transition. Limit systems can be based on either the hole or the shaft. The Indian Standard system defines 18 tolerance grades from IT01 to IT16 based on geometric scales. Fundamental deviations for shafts and holes are calculated using these tolerance grades. Surface roughness is measured using either the centre line average or root mean square methods and defined using standard symbols in Indian standards. Examples are provided to demonstrate applying these concepts.
Design of transmission system Two_marks_questions with answers
The document discusses various topics related to transmission systems including belt drives, chain drives, gear drives, and wire ropes.
It begins with two marks questions and answers related to power drives and their classification, mechanical drives and their classification, the law of belting, crowning of pulleys, friction and its applications.
It then discusses belt materials, belt rating, types of belts, merits and demerits of belt drives, materials for belt pulleys, ply of belts, belt joints, conditions for flat belt installation, and factors for belt drive selection.
The document also covers creep in belts, V-belt designation, advantages of timing belts over V-belts, purpose of gearbox housing, function
Shear stresses on beam (MECHANICS OF SOLIDS)
This document provides information about shear stresses and shear force in structures. It includes:
- Definitions of shear force and shear stress. Shear force is an unbalanced force parallel to a cross-section, and shear stress develops to resist the shear force.
- Explanations of horizontal and vertical shear stresses that develop in beams due to bending moments. Shear stress is highest at the neutral axis and reduces towards the top and bottom of the beam cross-section.
- Derivations of formulas for calculating shear stress across different beam cross-sections. Shear stress is directly proportional to the shear force and beam geometry.
- Examples of calculating maximum and average shear stresses for various cross-sections
Chapter v 2. moment area method
The document discusses methods for calculating deflections in structures, specifically the moment area method. It provides examples of using the moment area method to calculate slopes and deflections at various points along beams and frames by relating the bending moment diagram area to slope changes and vertical deflections using theorems. Sample problems are worked through step-by-step to demonstrate calculating slopes and deflections for beams under different loading conditions.
ME6603 - FINITE ELEMENT ANALYSIS UNIT - V NOTES AND QUESTION BANK
ME6603 - FINITE ELEMENT ANALYSIS UNIT - V NOTES AND QUESTION BANK. THE QUESTION NUMBER WILL MATCH TO THE QUESTION BANK ATTACHED AT THE END OF NOTES
SURFACE MODELLING .pptx
Surface modeling represents the surfaces of 3D objects and can be used to model complex shapes like vehicles, ships, and aircraft wings. There are two main types of surface modeling: parametric surfaces and implicit surfaces. Parametric surfaces use a set of equations to define the x, y, and z coordinates as functions of parameters u and v. Common parametric surface types include planes, ruled surfaces, surfaces of revolution, and tabulated cylinders. Implicit surfaces use a single polynomial equation to define the surface. Surface modeling provides more realistic representations than wireframe models and can be used for applications like finite element analysis, machining tool paths, and rendering models.
Module 2 instantenous center method
This document discusses instantaneous centers and their application in mechanisms. It begins by defining an instantaneous center as the point about which pure rotational motion can be assumed for a link undergoing combined translation and rotation. It describes how to locate instantaneous centers based on the bisectors of chords formed by the initial and final positions of links. The document outlines different types of instantaneous centers and provides rules for their location in various joint configurations. It introduces the Aronhold-Kennedy theorem stating that three bodies in relative plane motion will have three instantaneous centers collinear on a straight line. Methods for determining the velocity of points on links and locating all instantaneous centers in a mechanism are presented. An example problem is given to locate
Lecture notes on trusses
This document provides lecture notes on trusses and truss analysis. It defines a truss as consisting of straight members connected at joints, with no member continuous through a joint. Simple trusses follow the rule that the number of members m equals 2n-3, where n is the number of joints. The document describes two common methods for truss analysis: (1) the method of joints, which uses equilibrium equations at each joint to solve for member forces, and (2) the method of sections, which uses equilibrium of a portion of the truss cut out by a section. Sample problems demonstrate applying each method to determine member forces in specific trusses.
Bending stresses in beams
Bending Stresses are important in the design of beams from strength point of view. The present source gives an idea on theory and problems in bending stresses.
Torsion test machine design
In structural design, torsional moment may, on occasion, be a significant force for which
provision must be made. The most efficient shape for carrying a torque is a hollow circular shaft;
extensive treatment of torsion and torsion combined with bending and axial force is to be found
in most texts on mechanics of materials.
When a simple circular solid shaft is twisted, the shearing stress at any point on a transverse
cross-section varies directly as the distance from the center of the shaft. Thus, during twisting,
the cross-section which is initially planar remains a plane and rotates only about the axis of the
shaft.
Torsion members are frequently encountered in structures and machines. A structural member
may need to resist torques induced by a load, such as wind or gravity. Machinery examples
include motor vehicle drive shafts, torsion bar suspensions, ship propeller shafts, and centrifugal
pump shafts. In the analysis of torsionally loaded members, we are primarily concerned with the
torsion stress and the angle of twist on the shaft. In our laboratory experiment, the primary
emphasis is on the recognition of torsion on the usual structural members, how the torsion
stresses may be approximated and how such members may be selected to resist torsion effects.
theories of failure
The document discusses various theories of failure that are used to determine the safe dimensions of components under combined loading conditions. It describes five theories: (1) Maximum principal stress theory, (2) Maximum principal strain theory, (3) Maximum strain energy theory, (4) Maximum distortion energy theory, and (5) Maximum shear stress theory. The maximum distortion energy theory provides the safest design for ductile materials as it results in the largest allowable stresses before failure compared to the other theories. The document also compares the various theories and discusses when each is best applied depending on the material type and stress conditions.
Bending stresses in beams
This document discusses bending stresses in beams. It defines simple or pure bending as when a beam experiences zero shear force and constant bending moment over a length. For simple bending, the stress distribution can be calculated using beam theory. The key points are:
- Bending stresses are introduced due to bending moments and are highest at the extreme fibers furthest from the neutral axis.
- The neutral axis experiences no bending stress and its location is defined by the centroidal axis of the beam cross-section.
- Bending stress is directly proportional to the distance from the neutral axis. The stress distribution follows σ = My/I, where M is the bending moment, y is the distance from neutral axis, and I is
Vibration isolation methods in various industries
The document discusses vibration isolation methods used in various industries. It describes passive isolation systems like pneumatic isolators, mechanical springs, elastomeric pads, and negative-stiffness isolators. Active isolation systems contain sensors, controllers and actuators to strongly suppress vibrations. Semi-active systems consume less power than active systems but provide more control than passive isolators. The document also reviews several research papers on practical vibration control methods, noise isolation in automotive industry, foundations for industrial machines, and adaptive control for payload launch vibration isolation.
Finite element method
The document discusses the finite element method (FEM) for numerical analysis of structures. It provides the following key points:
1) FEM divides a structure into discrete elements connected at nodes, resulting in a finite number of degrees of freedom and a set of simultaneous algebraic equations to solve.
2) It uses approximate methods like the Rayleigh-Ritz method to obtain solutions for complex geometries and boundary conditions. This involves assuming displacement fields and minimizing the total potential energy.
3) The Galerkin method is presented, which satisfies the governing differential equations in an integral sense by setting the residual equal to zero when multiplied by a weighting function.
4) Applications to 1D problems are discussed,
Stiffness matrix method for beam , examples ce525
The document contains solutions to structural analysis problems involving beams. The first problem determines the support reactions of a beam with a distributed load. It involves finding the stiffness matrix, displacements, internal forces, and calculating the final reactions. The second problem calculates the moment at specific nodes for a beam with an internal hinge and applied point loads. It also finds the displacement at the hinge node using the stiffness matrix and equations for internal forces. The third problem similarly analyzes another beam, determining the moment at a node and displacement at the hinge location.
I-74 Final Design - Aesthetics
The document presents the aesthetic design concepts for various elements of the I-74 bridge project between Illinois and Iowa. It includes designs for basket handle arches, lighting of arches and piers, viaduct piers, pedestrian railings and lighting, overlook areas, retaining walls, bridge colors and finishes, barriers, abutments, roadway lighting, identity elements, water features, and a let down structure. The designs are at a preliminary stage and may be refined as the project continues development.
More Related Content
What's hot
Constant strain triangular
constant strain triangular which is used in analysis of triangular in finite element method with the help of shape function and natural coordinate system.
Surface modelling
This document discusses different types of surface modelling techniques. Parametric surfaces and implicit surfaces are the two main types used in modelling systems. Parametric surfaces are defined by a set of coordinate functions, while implicit surfaces are defined by a polynomial equation. Common parametric surfaces include planes, ruled surfaces, surfaces of revolution, and B-splines. Multiple parametric surface patches can be joined to model more complex shapes. Surface modelling allows representing complex object geometries and is useful for mass properties calculation, interference detection, and finite element analysis.
ME6603 - FINITE ELEMENT ANALYSIS FORMULA BOOK
This document contains formulas and equations related to finite element analysis (FEA) for one-dimensional structural and heat transfer problems. It includes formulas for weighted residual methods, Ritz method, beam deflection and stress, springs, one-dimensional bars and frames, and one-dimensional heat transfer through walls and fins. Displacement functions, stiffness matrices, thermal loads, and conduction/convection equations are provided for linear and quadratic elements undergoing static structural and thermal analysis.
ME6603 - FINITE ELEMENT ANALYSIS UNIT - IV NOTES AND QUESTION BANK
This document contains a collection of practice problems related to finite element analysis of two-dimensional vector variable problems, including axisymmetric problems. The problems cover derivation of element stiffness matrices and strain-displacement matrices for various element types under different conditions, calculation of element stresses and displacements, modeling of cylinders under pressure, and determination of global stiffness matrices for structures. The elements and conditions include constant strain triangles, linear strain triangles, axisymmetric triangles, plane stress, plane strain, and shells.
Unit 3 design against fluctuation load
The document discusses stress concentration and fatigue failure in machine elements. It defines stress concentration as the localization of high stresses due to irregularities or abrupt changes in cross-section. Stress concentration can be reduced by avoiding sharp changes in cross-section and providing fillets and chamfers. Fatigue failure occurs when fluctuating stresses cause cracks over numerous load cycles. The endurance limit is the maximum stress amplitude that causes failure after an infinite number of cycles. Factors like stress concentration, surface finish, size, and mean stress affect the endurance limit. Designs should minimize stress raisers and protect against corrosion to prevent fatigue failures.
Finite Element Analysis - UNIT-4
This document discusses two-dimensional vector variable problems in structural mechanics. It describes plane stress, plane strain and axisymmetric problems, and provides the stress-strain relations for materials under these conditions. It also discusses thin structures like disks and long prismatic shafts. Additionally, it covers dynamic analysis and vibration of structures, describing free vibration, forced vibration and types of vibration. Equations of motion are developed using Lagrange's approach and the weak form method. Mass and stiffness matrices for axial rod and beam elements are also presented.
Fits, tolerance and surface roughness
This document discusses limit systems and fits used in engineering design. It covers important terms like nominal size and tolerance. There are three main types of fits: clearance, interference and transition. Limit systems can be based on either the hole or the shaft. The Indian Standard system defines 18 tolerance grades from IT01 to IT16 based on geometric scales. Fundamental deviations for shafts and holes are calculated using these tolerance grades. Surface roughness is measured using either the centre line average or root mean square methods and defined using standard symbols in Indian standards. Examples are provided to demonstrate applying these concepts.
Design of transmission system Two_marks_questions with answers
The document discusses various topics related to transmission systems including belt drives, chain drives, gear drives, and wire ropes.
It begins with two marks questions and answers related to power drives and their classification, mechanical drives and their classification, the law of belting, crowning of pulleys, friction and its applications.
It then discusses belt materials, belt rating, types of belts, merits and demerits of belt drives, materials for belt pulleys, ply of belts, belt joints, conditions for flat belt installation, and factors for belt drive selection.
The document also covers creep in belts, V-belt designation, advantages of timing belts over V-belts, purpose of gearbox housing, function
Shear stresses on beam (MECHANICS OF SOLIDS)
This document provides information about shear stresses and shear force in structures. It includes:
- Definitions of shear force and shear stress. Shear force is an unbalanced force parallel to a cross-section, and shear stress develops to resist the shear force.
- Explanations of horizontal and vertical shear stresses that develop in beams due to bending moments. Shear stress is highest at the neutral axis and reduces towards the top and bottom of the beam cross-section.
- Derivations of formulas for calculating shear stress across different beam cross-sections. Shear stress is directly proportional to the shear force and beam geometry.
- Examples of calculating maximum and average shear stresses for various cross-sections
Chapter v 2. moment area method
The document discusses methods for calculating deflections in structures, specifically the moment area method. It provides examples of using the moment area method to calculate slopes and deflections at various points along beams and frames by relating the bending moment diagram area to slope changes and vertical deflections using theorems. Sample problems are worked through step-by-step to demonstrate calculating slopes and deflections for beams under different loading conditions.
ME6603 - FINITE ELEMENT ANALYSIS UNIT - V NOTES AND QUESTION BANK
ME6603 - FINITE ELEMENT ANALYSIS UNIT - V NOTES AND QUESTION BANK. THE QUESTION NUMBER WILL MATCH TO THE QUESTION BANK ATTACHED AT THE END OF NOTES
SURFACE MODELLING .pptx
Surface modeling represents the surfaces of 3D objects and can be used to model complex shapes like vehicles, ships, and aircraft wings. There are two main types of surface modeling: parametric surfaces and implicit surfaces. Parametric surfaces use a set of equations to define the x, y, and z coordinates as functions of parameters u and v. Common parametric surface types include planes, ruled surfaces, surfaces of revolution, and tabulated cylinders. Implicit surfaces use a single polynomial equation to define the surface. Surface modeling provides more realistic representations than wireframe models and can be used for applications like finite element analysis, machining tool paths, and rendering models.
Module 2 instantenous center method
This document discusses instantaneous centers and their application in mechanisms. It begins by defining an instantaneous center as the point about which pure rotational motion can be assumed for a link undergoing combined translation and rotation. It describes how to locate instantaneous centers based on the bisectors of chords formed by the initial and final positions of links. The document outlines different types of instantaneous centers and provides rules for their location in various joint configurations. It introduces the Aronhold-Kennedy theorem stating that three bodies in relative plane motion will have three instantaneous centers collinear on a straight line. Methods for determining the velocity of points on links and locating all instantaneous centers in a mechanism are presented. An example problem is given to locate
Lecture notes on trusses
This document provides lecture notes on trusses and truss analysis. It defines a truss as consisting of straight members connected at joints, with no member continuous through a joint. Simple trusses follow the rule that the number of members m equals 2n-3, where n is the number of joints. The document describes two common methods for truss analysis: (1) the method of joints, which uses equilibrium equations at each joint to solve for member forces, and (2) the method of sections, which uses equilibrium of a portion of the truss cut out by a section. Sample problems demonstrate applying each method to determine member forces in specific trusses.
Bending stresses in beams
Bending Stresses are important in the design of beams from strength point of view. The present source gives an idea on theory and problems in bending stresses.
Torsion test machine design
In structural design, torsional moment may, on occasion, be a significant force for which
provision must be made. The most efficient shape for carrying a torque is a hollow circular shaft;
extensive treatment of torsion and torsion combined with bending and axial force is to be found
in most texts on mechanics of materials.
When a simple circular solid shaft is twisted, the shearing stress at any point on a transverse
cross-section varies directly as the distance from the center of the shaft. Thus, during twisting,
the cross-section which is initially planar remains a plane and rotates only about the axis of the
shaft.
Torsion members are frequently encountered in structures and machines. A structural member
may need to resist torques induced by a load, such as wind or gravity. Machinery examples
include motor vehicle drive shafts, torsion bar suspensions, ship propeller shafts, and centrifugal
pump shafts. In the analysis of torsionally loaded members, we are primarily concerned with the
torsion stress and the angle of twist on the shaft. In our laboratory experiment, the primary
emphasis is on the recognition of torsion on the usual structural members, how the torsion
stresses may be approximated and how such members may be selected to resist torsion effects.
theories of failure
The document discusses various theories of failure that are used to determine the safe dimensions of components under combined loading conditions. It describes five theories: (1) Maximum principal stress theory, (2) Maximum principal strain theory, (3) Maximum strain energy theory, (4) Maximum distortion energy theory, and (5) Maximum shear stress theory. The maximum distortion energy theory provides the safest design for ductile materials as it results in the largest allowable stresses before failure compared to the other theories. The document also compares the various theories and discusses when each is best applied depending on the material type and stress conditions.
Bending stresses in beams
This document discusses bending stresses in beams. It defines simple or pure bending as when a beam experiences zero shear force and constant bending moment over a length. For simple bending, the stress distribution can be calculated using beam theory. The key points are:
- Bending stresses are introduced due to bending moments and are highest at the extreme fibers furthest from the neutral axis.
- The neutral axis experiences no bending stress and its location is defined by the centroidal axis of the beam cross-section.
- Bending stress is directly proportional to the distance from the neutral axis. The stress distribution follows σ = My/I, where M is the bending moment, y is the distance from neutral axis, and I is
Vibration isolation methods in various industries
The document discusses vibration isolation methods used in various industries. It describes passive isolation systems like pneumatic isolators, mechanical springs, elastomeric pads, and negative-stiffness isolators. Active isolation systems contain sensors, controllers and actuators to strongly suppress vibrations. Semi-active systems consume less power than active systems but provide more control than passive isolators. The document also reviews several research papers on practical vibration control methods, noise isolation in automotive industry, foundations for industrial machines, and adaptive control for payload launch vibration isolation.
Finite element method
The document discusses the finite element method (FEM) for numerical analysis of structures. It provides the following key points:
1) FEM divides a structure into discrete elements connected at nodes, resulting in a finite number of degrees of freedom and a set of simultaneous algebraic equations to solve.
2) It uses approximate methods like the Rayleigh-Ritz method to obtain solutions for complex geometries and boundary conditions. This involves assuming displacement fields and minimizing the total potential energy.
3) The Galerkin method is presented, which satisfies the governing differential equations in an integral sense by setting the residual equal to zero when multiplied by a weighting function.
4) Applications to 1D problems are discussed,
What's hot (20)
ME6603 - FINITE ELEMENT ANALYSIS UNIT - IV NOTES AND QUESTION BANK
ME6603 - FINITE ELEMENT ANALYSIS UNIT - IV NOTES AND QUESTION BANK
Design of transmission system Two_marks_questions with answers
Design of transmission system Two_marks_questions with answers
ME6603 - FINITE ELEMENT ANALYSIS UNIT - V NOTES AND QUESTION BANK
ME6603 - FINITE ELEMENT ANALYSIS UNIT - V NOTES AND QUESTION BANK
Viewers also liked
Stiffness matrix method for beam , examples ce525
The document contains solutions to structural analysis problems involving beams. The first problem determines the support reactions of a beam with a distributed load. It involves finding the stiffness matrix, displacements, internal forces, and calculating the final reactions. The second problem calculates the moment at specific nodes for a beam with an internal hinge and applied point loads. It also finds the displacement at the hinge node using the stiffness matrix and equations for internal forces. The third problem similarly analyzes another beam, determining the moment at a node and displacement at the hinge location.
I-74 Final Design - Aesthetics
The document presents the aesthetic design concepts for various elements of the I-74 bridge project between Illinois and Iowa. It includes designs for basket handle arches, lighting of arches and piers, viaduct piers, pedestrian railings and lighting, overlook areas, retaining walls, bridge colors and finishes, barriers, abutments, roadway lighting, identity elements, water features, and a let down structure. The designs are at a preliminary stage and may be refined as the project continues development.
Análisis de-porticos-por-el-método-de-matriz-de-rigidez
This document discusses frame analysis using the stiffness method. It provides the equations for calculating the frame member stiffness matrix based on the member's properties like EI, EA. It also describes how to transform the member stiffness matrix to the global coordinate system using transformation matrices for force and displacement. An example problem is presented to demonstrate calculating the member and global stiffness matrices, and determining the deflections, rotations and reactions for a simple frame.
Stiffness Matrix
1. The stiffness method is used to analyze the beam by determining its degree of kinematic indeterminacy, selecting unknown displacements, restraining the structure, and generating a stiffness matrix.
2. A 4m beam with supports at 1.5m and 3m is analyzed using a stiffness matrix approach. The displacements selected are the rotations at joints B and C.
3. The stiffness matrix is generated by applying unit rotations at each joint and calculating the actions. This matrix is then used along with the applied loads in a superposition equation to solve for the unknown displacements.
Curso de Analisis por elementos finitos
The document discusses the basics of finite element analysis (FEA). It explains that FEA involves breaking a physical object down into small pieces or elements, then using a numerical technique to analyze them. Key steps in FEA include preprocessing like meshing the geometry, applying boundary conditions and material properties, solving the system of equations generated, and postprocessing to view results like displacements and stresses. An example problem of analyzing a plate under load is presented to illustrate the FEA formulation and solution process.
Solving indeterminate structures by using stiffness method. 10.01.03.130
This document discusses solving statically indeterminate structures using the direct stiffness method. It begins with an introduction that defines statically indeterminate structures as those that cannot be analyzed using static equilibrium equations alone, consisting of more members and/or supports than needed for static determinacy.
It then explains that the direct stiffness method is a matrix method that uses member stiffness relations to compute member forces and displacements. It involves adding restraints to make the structure determinate, applying loads to calculate forces, applying displacements one at a time to determine corresponding forces, writing equilibrium equations, and solving the matrix equation to obtain displacements and subsequently other reactions.
The benefits of the direct stiffness method are that it can effectively and
Solving Statically Indeterminate Structure: Stiffness Method 10.01.03.080
This document discusses stiffness method for analyzing indeterminate structures. It defines stiffness method as the end moment required to produce a unit rotation at one end of a member while fixing the other end. It also defines degree of freedom and degree of kinematic indeterminacy. The steps of stiffness method are outlined, which include determining degree of kinematic indeterminacy, applying restraints, calculating member forces, applying displacements one at a time to write equilibrium equations in matrix form, and solving the equations to obtain displacements and member forces. Stiffness method can be used to analyze beams, frames, and trusses and is suitable for automation in computer programs.
Introduction to FEM
The document provides an introduction to the finite element method (FEM) for numerical analysis of engineering problems. It discusses how FEM can be used to solve complex problems by dividing them into smaller, simpler elements. FEM allows the use of computers to solve problems that cannot be solved through analytical methods. It also describes the different types of FEM formulations including implicit, which tries to obtain structural equilibrium at each time step for faster solutions, and explicit, which does not require iterations but has longer calculation times. Finally, the document gives examples of how FEM can be applied to problems in solid mechanics, fluid mechanics, and thermodynamics.
Ch 1 structural analysis stiffness method
This document introduces the stiffness method for structural analysis. It begins by discussing degrees of freedom and statical determinacy, explaining how to calculate the number of degrees of freedom and degree of statical indeterminacy for frames. It then introduces the direct stiffness method, using a simple spring system example to demonstrate the basic approach. Key steps include establishing equilibrium equations in matrix form relating applied loads to displacements, and solving these equations to determine member forces and displacements. The chapter concludes by discussing local and global coordinate systems for members and how to establish the member stiffness matrix relating forces and displacements.
Finite Element Method
The document discusses the finite element method (FEM) for analyzing beam structures. FEM involves subdividing a structure into finite elements of simple shape and solving for the whole structure. Elements can be one-, two-, or three-dimensional, with accuracy increasing with more elements. Nodes are points where elements connect, and nodal displacements describe element deformation. FEM allows analyzing complex shapes like plates by treating them as assemblies of beams. A simple bar analysis example demonstrates deriving and solving the stiffness matrix to determine displacements and forces from applied loads.
An Introduction to the Finite Element Method
This document provides an overview of a course on the finite element method. The course objectives are for students to learn how to write simple programs to solve problems using FEM. Assessment includes assignments, quizzes, a course project, midterm exam, and final exam. Fundamental agreements include electronic homework submission and using MATLAB or Mathematica. References on FEM are also provided. The document outlines numerical methods for solving boundary value problems and introduces weighted residual methods like the collocation method, subdomain method, and Galerkin method.
Introduction to finite element analysis
The document provides an introduction to finite element analysis (FEA) or the finite element method (FEM). It describes FEA as a numerical method used to solve engineering and mathematical physics problems that cannot be solved through analytical methods due to complex geometries, loadings, or material properties. FEA involves discretizing a complex model into smaller, simpler elements connected at nodes, then applying the governing equations to obtain a numerical solution for the unknown primary variable (usually displacement) at nodes. Secondary variables like stress are then determined from nodal displacements. The process involves preprocessing, solving, and postprocessing steps.
Introduction to finite element method(fem)
it tells u what is finite element method and it's use in solving typical 1D, 2D rods along with some soved problems .
Final project proposal
This document outlines a proposed project to develop a tourist attraction information website for Purwakarta, Indonesia. The project aims to provide more online information about Purwakarta's tourist destinations to promote tourism and share its beauty with the world. It discusses the background and problem identification, project aim, research questions, significance, literature review, theoretical framework, methods, ethics, resources, timeline, and budget.
Project proposal
Project Proposal for Registration system, Term Paper for graduate school
Subject: Database Management
Project proposal
The document proposes constructing a one-storey residential building to address the client's housing needs. It will include three bedrooms, two kitchens, and a porch. The building will cost approximately 1.15 million pesos to build and will solve the client's current problems of high rental costs and transportation expenses, while providing a comfortable living environment. Facility requirements like appliances, electricity, and water access are also addressed. The construction is proposed to alleviate the client's housing issues for many years.
How to write research proposal(1)
This document provides instructions for writing an effective research proposal in 14 sections:
1. The title should attract the reader's interest while being precise and descriptive.
2. The abstract should be 1 page summarizing the background, aims, methods, results, and conclusions.
3. The introduction states the research problem, rationale, questions, and delimitations.
4. The background information identifies the problem, economic importance, and research location.
5. The literature review ensures the research is novel, demonstrates knowledge, and convinces the reader of its significance.
6. The methods section outlines the research design, experiments, data collection, and statistical analysis.
7. The results section outlines expected findings even though
Writing A Research Proposal
A research proposal outlines a research project and provides information on key elements such as the research question, methodology, and ethical considerations. It connects the proposed research to existing literature and discusses the importance and viability of the research topic. Important components of a research proposal include the introduction of the research topic and why it is being studied, a literature review, research design outlining the methodology and methods of data collection/analysis, and consideration of ethical issues. The proposal should also include sections on aims/objectives, conclusions/recommendations, and references. A good title reflects the well-defined aims of the research in a concrete manner.
Slope stability
- The document discusses slope stability analysis methods, focusing on circular failure mechanisms.
- It describes the factor of safety concept and how it is used to evaluate slope stability. The factor of safety is the ratio of resisting forces to disturbing forces.
- Two common methods of slices are described: the Swedish method, which assumes interslice forces act perpendicular to slices, and Bishop's simplified method, which assumes equal vertical interslice forces. Both methods involve calculating resisting and disturbing forces on slices to determine the minimum factor of safety.
My research proposal.ppt
This document outlines a research proposal that investigates teachers' perceptions of assessing students' oral reading skills in rural primary schools. The study aims to understand teachers' views on reading aloud assessments, and whether their perceptions differ based on years of teaching experience or education level. A mixed methods approach is proposed, using questionnaires to collect quantitative data on 80-120 teachers, and interviews of 12 teachers to obtain qualitative views. The research questions focus on teachers' perceptions of reading assessments, any differences related to experience or qualifications, and factors influencing perceptions. The significance, limitations, and methodology are described in the proposal.
Viewers also liked (20)
Análisis de-porticos-por-el-método-de-matriz-de-rigidez
Análisis de-porticos-por-el-método-de-matriz-de-rigidez
Solving indeterminate structures by using stiffness method. 10.01.03.130
Solving indeterminate structures by using stiffness method. 10.01.03.130
Solving Statically Indeterminate Structure: Stiffness Method 10.01.03.080
Solving Statically Indeterminate Structure: Stiffness Method 10.01.03.080
More from murali mohan
Potential use of natural red mud as partial replacement with cement in concrete
This document discusses a study on using red mud as a partial replacement for cement in concrete. Red mud is a byproduct from aluminum production that contains oxides of iron, titanium, aluminum and silica. The study involves casting concrete cubes with 0%, 5%, 10%, 15%, and 20% replacement of cement with red mud to evaluate the compressive strength. Preliminary tests were conducted on the cement, aggregates, and red mud used. A mix design was developed for M20 grade concrete. The cubes were tested after 7 and 28 days to determine compressive strength, which decreased as the replacement of cement with red mud increased. The results will help assess the suitability of red mud for use in construction.
potential use of red mud
This document discusses a study on using natural red mud as a partial replacement for cement in cement mortar. Preliminary tests were conducted on cement, fine aggregate, and red mud. Cement mortar cubes were prepared with 0%, 5%, 10%, 15%, and 20% replacements of cement with red mud. The compressive strengths of the cubes were tested at 7 and 28 days. The results showed that compressive strength decreased as the proportion of red mud increased. Specifically, compressive strengths dropped by 15-25% with a 20% replacement of cement with red mud. Therefore, red mud has potential as a partial cement replacement but reduces the strength of cement mortar.
Total station
This document discusses the importance of learning how to use a total station for civil engineers. It notes that only a small percentage of what is learned in civil engineering school is directly applicable on work sites. It recommends learning skills with software like AutoCAD as well as total stations, which are useful for surveying and laying out construction projects. The document advertises a training program to teach students how to properly use total stations in a site-based setting and notes this additional certification will help students' career prospects in civil engineering.
Spillway gates
Spillway crest gates are adjustable gates used to control water flow in reservoir and river systems. They act as barriers to store additional water, allowing the height of dams to be increased and requiring more land acquisition. The main types of spillway gates are dripping shutters, stop logs, radial/tainter gates, drum gates, and vertical lift/rectangle gates. Vertical lift gates are rectangular gates that spin horizontally between grooved piers and can be raised or lowered by a hoisting mechanism to control water flow.
Military bridges
Mobile bridges are temporary bridges that can be quickly constructed and dismantled. They are mainly used by the military and for emergency/disaster relief situations. There are three main types: dry support bridges that can span 46 meters and support 120 tons; medium girder bridges that can span from 9.8 to 76 meters; and air portable ferry bridges that can span 29.2 meters. Mobile bridges provide flexibility and are useful for countries prone to natural disasters as they can be pre-positioned and rapidly deployed when needed.
Control of corrosion on underwater piles
This document discusses various methods for controlling corrosion on underwater piles. It describes different corrosion zones piles are exposed to based on tidal patterns. Common corrosion protection methods include protective coatings, cathodic protection using sacrificial anodes, and application of fiber-reinforced polymer (FRP) composites. Cathodic protection is an effective electrochemical process to halt corrosion, while FRP composites provide benefits like high strength, chemical resistance, and flexibility for repairs.
isoparametric formulation
Isoparametric formulation allows for more accurate modeling of curved boundaries by mapping regular element shapes from a natural coordinate system to the actual curved geometric shapes in the global coordinate system. This mapping technique revolutionized finite element analysis by reducing unnecessary stress concentrations compared to using only straight-edged elements. The document goes on to define isoparametric, superparametric, and subparametric elements, and explains the basic theorems and uniqueness conditions for valid mappings between coordinate systems. It also describes Gaussian numerical integration for assembling stiffness matrices in isoparametric finite element analysis and provides some illustrative numerical examples.
principles of elasticity in fem
This document discusses principles of elasticity including equations of equilibrium, strain displacement relationships, constitutive relationships, and different categories of elasticity problems including plain stress, plain strain, and axi-symmetric problems. Plain stress problems involve thin plates subject to in-plane forces. Plain strain problems involve long bodies subject to lateral but not longitudinal forces. Axi-symmetric problems involve structures that can be generated by rotating a line or curve about an axis, like cylinders subjected to axisymmetric loads, where stresses are independent of the angular coordinate due to symmetry.
More from murali mohan (8)
Potential use of natural red mud as partial replacement with cement in concrete
Potential use of natural red mud as partial replacement with cement in concrete
Recently uploaded
Modelagem de um CSTR com reação endotermica.pdf
Modelagem em função de transferencia. CSTR não-linear.
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
原版一模一样【微信：741003700 】【(csu毕业证书)查尔斯特大学毕业证硕士学历】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
ACEP Magazine edition 4th launched on 05.06.2024
This document provides information about the third edition of the magazine "Sthapatya" published by the Association of Civil Engineers (Practicing) Aurangabad. It includes messages from current and past presidents of ACEP, memories and photos from past ACEP events, information on life time achievement awards given by ACEP, and a technical article on concrete maintenance, repairs and strengthening. The document highlights activities of ACEP and provides a technical educational article for members.
22CYT12-Unit-V-E Waste and its Management.ppt
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
Iron and Steel Technology towards Sustainable Steelmaking
Understanding Inductive Bias in Machine Learning
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
As digital technology becomes more deeply embedded in power systems, protecting the communication
networks of Smart Grids (SG) has emerged as a critical concern. Distributed Network Protocol 3 (DNP3)
represents a multi-tiered application layer protocol extensively utilized in Supervisory Control and Data
Acquisition (SCADA)-based smart grids to facilitate real-time data gathering and control functionalities.
Robust Intrusion Detection Systems (IDS) are necessary for early threat detection and mitigation because
of the interconnection of these networks, which makes them vulnerable to a variety of cyberattacks. To
solve this issue, this paper develops a hybrid Deep Learning (DL) model specifically designed for intrusion
detection in smart grids. The proposed approach is a combination of the Convolutional Neural Network
(CNN) and the Long-Short-Term Memory algorithms (LSTM). We employed a recent intrusion detection
dataset (DNP3), which focuses on unauthorized commands and Denial of Service (DoS) cyberattacks, to
train and test our model. The results of our experiments show that our CNN-LSTM method is much better
at finding smart grid intrusions than other deep learning algorithms used for classification. In addition,
our proposed approach improves accuracy, precision, recall, and F1 score, achieving a high detection
accuracy rate of 99.50%.
New techniques for characterising damage in rock slopes.pdf
rock mass characterization and New techniques for characterising damage in rock slopes
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Batteries -Introduction – Types of Batteries – discharging and charging of battery - characteristics of battery –battery rating- various tests on battery- – Primary battery: silver button cell- Secondary battery :Ni-Cd battery-modern battery: lithium ion battery-maintenance of batteries-choices of batteries for electric vehicle applications.
Fuel Cells: Introduction- importance and classification of fuel cells - description, principle, components, applications of fuel cells: H2-O2 fuel cell, alkaline fuel cell, molten carbonate fuel cell and direct methanol fuel cells.
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
Literature Review Basics and Understanding Reference Management.pptx
Three-day training on academic research focuses on analytical tools at United Technical College, supported by the University Grant Commission, Nepal. 24-26 May 2024
Embedded machine learning-based road conditions and driving behavior monitoring
Car accident rates have increased in recent years, resulting in losses in human lives, properties, and other financial costs. An embedded machine learning-based system is developed to address this critical issue. The system can monitor road conditions, detect driving patterns, and identify aggressive driving behaviors. The system is based on neural networks trained on a comprehensive dataset of driving events, driving styles, and road conditions. The system effectively detects potential risks and helps mitigate the frequency and impact of accidents. The primary goal is to ensure the safety of drivers and vehicles. Collecting data involved gathering information on three key road events: normal street and normal drive, speed bumps, circular yellow speed bumps, and three aggressive driving actions: sudden start, sudden stop, and sudden entry. The gathered data is processed and analyzed using a machine learning system designed for limited power and memory devices. The developed system resulted in 91.9% accuracy, 93.6% precision, and 92% recall. The achieved inference time on an Arduino Nano 33 BLE Sense with a 32-bit CPU running at 64 MHz is 34 ms and requires 2.6 kB peak RAM and 139.9 kB program flash memory, making it suitable for resource-constrained embedded systems.
Recently uploaded (20)
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
basic-wireline-operations-course-mahmoud-f-radwan.pdf
basic-wireline-operations-course-mahmoud-f-radwan.pdf
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
Manufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptx
New techniques for characterising damage in rock slopes.pdf
New techniques for characterising damage in rock slopes.pdf
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Literature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptx
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
STIFFNESS MATRIX FOR 3-NODE TRIANGULAR ELEMENT
- 1. STIFFNESS MATRIX FOR 3-NODE TRIANDULAR ELEMENT BY G.MURALI MOHAN
- 2. STIFFNESS MATRIX FOR 3-NODE TRIANDULAR ELEMENT