1. The document discusses methods for analyzing beams that are subjected to distributed and concentrated loads, including determining equivalent concentrated loads, shear forces, bending moments, and drawing shear and bending moment diagrams.
2. Beams can be analyzed by considering the entire beam as a free body, cutting the beam at various points and analyzing the resulting sections, and applying equilibrium equations.
3. Reactions, internal forces, shear forces, and bending moments can be determined and diagrams can be drawn to understand the variations along the beam.
This chapter discusses statics of particles, including:
- Representing multiple forces on a particle with a single resultant force
- Conditions for a particle to be in equilibrium
- Using free-body diagrams to analyze forces on a particle
- Adding vector forces using graphical and trigonometric methods
- Resolving forces into rectangular components and adding the components
- Solving example problems by drawing free-body diagrams, applying equilibrium conditions, and using vector math to determine unknown forces
This chapter discusses forces in beams and cables. It introduces internal forces like tension, compression, shear, and bending that hold together parts of structural members. Beams experience shear forces and bending moments when subjected to concentrated or distributed loads. Methods are presented for calculating the reactions, shear forces, and bending moments in beams under different loading conditions. These include drawing shear force and bending moment diagrams. Relations between applied loads, shear forces, and bending moments in beams are also covered.
This document provides an overview of chapter 3 from the textbook Vector Mechanics for Engineers: Statics. The chapter discusses rigid bodies and equivalent systems of forces. Key points include: defining external and internal forces on rigid bodies; the principle of transmissibility and equivalent forces; the moment of a force about a point or axis; and that any system of forces on a rigid body can be represented by an equivalent force and couple. Sample problems demonstrate calculating moments of forces about points and solving for equivalent forces.
This document provides an overview of the contents of Chapter 1 from the textbook "Vector Mechanics for Engineers: Statics". It discusses the following key points in mechanics: the definition of mechanics and its categories; fundamental concepts such as space, time, mass and force; fundamental principles including Newton's laws of motion; common systems of units used in mechanics like SI and US Customary units; the typical method of solving mechanics problems using free-body diagrams and fundamental principles; and considerations for numerical accuracy in mechanics problems.
This document provides an excerpt from the textbook "Vector Mechanics for Engineers: Dynamics" which discusses plane motion of rigid bodies. It includes sections on equations of motion for rigid bodies, angular momentum of rigid bodies in plane motion, and D'Alembert's principle applied to plane motion. It also provides sample problems demonstrating how to set up and solve equations of motion for rigid bodies undergoing plane motion, including problems involving translation, rotation, and combinations of the two.
This document provides an overview of the key concepts related to equilibrium of rigid bodies, including:
- Developing free-body diagrams to represent the forces acting on a rigid body and identify unknown support reactions.
- Using the equations of equilibrium (sum of forces equals zero in x and y directions, sum of moments equals zero) to solve for unknown forces and support reactions.
- Analyzing two-force and three-force members, as well as statically determinate and indeterminate structures.
This document contains 11 problems related to strength of materials and beams from Prof. M. S. Sivakumar of IIT Madras. The problems cover topics such as computation of reactions, shear force, bending moment, and stresses in beams. Problem 11 asks the reader to calculate stresses in a composite beam made of wood and steel with given dimensions, moduli of elasticity, and an applied bending moment. Step-by-step solutions are provided for each problem.
3 torsion- Mechanics of Materials - 4th - BeerNhan Tran
This document provides an overview of chapter 3 from the textbook "Mechanics of Materials" which covers the topic of torsion. It begins with an introduction to torsional loads on circular shafts and the concept of net torque due to internal stresses. Key concepts discussed include shear strain, stresses in the elastic range using elastic torsion formulas, and failure modes under torsion. The document provides examples of solving sample problems involving statically indeterminate shafts, determining required shaft diameters, and calculating stresses and angles of twist. It concludes with discussing plastic deformations and torsion of noncircular members.
This chapter discusses statics of particles, including:
- Representing multiple forces on a particle with a single resultant force
- Conditions for a particle to be in equilibrium
- Using free-body diagrams to analyze forces on a particle
- Adding vector forces using graphical and trigonometric methods
- Resolving forces into rectangular components and adding the components
- Solving example problems by drawing free-body diagrams, applying equilibrium conditions, and using vector math to determine unknown forces
This chapter discusses forces in beams and cables. It introduces internal forces like tension, compression, shear, and bending that hold together parts of structural members. Beams experience shear forces and bending moments when subjected to concentrated or distributed loads. Methods are presented for calculating the reactions, shear forces, and bending moments in beams under different loading conditions. These include drawing shear force and bending moment diagrams. Relations between applied loads, shear forces, and bending moments in beams are also covered.
This document provides an overview of chapter 3 from the textbook Vector Mechanics for Engineers: Statics. The chapter discusses rigid bodies and equivalent systems of forces. Key points include: defining external and internal forces on rigid bodies; the principle of transmissibility and equivalent forces; the moment of a force about a point or axis; and that any system of forces on a rigid body can be represented by an equivalent force and couple. Sample problems demonstrate calculating moments of forces about points and solving for equivalent forces.
This document provides an overview of the contents of Chapter 1 from the textbook "Vector Mechanics for Engineers: Statics". It discusses the following key points in mechanics: the definition of mechanics and its categories; fundamental concepts such as space, time, mass and force; fundamental principles including Newton's laws of motion; common systems of units used in mechanics like SI and US Customary units; the typical method of solving mechanics problems using free-body diagrams and fundamental principles; and considerations for numerical accuracy in mechanics problems.
This document provides an excerpt from the textbook "Vector Mechanics for Engineers: Dynamics" which discusses plane motion of rigid bodies. It includes sections on equations of motion for rigid bodies, angular momentum of rigid bodies in plane motion, and D'Alembert's principle applied to plane motion. It also provides sample problems demonstrating how to set up and solve equations of motion for rigid bodies undergoing plane motion, including problems involving translation, rotation, and combinations of the two.
This document provides an overview of the key concepts related to equilibrium of rigid bodies, including:
- Developing free-body diagrams to represent the forces acting on a rigid body and identify unknown support reactions.
- Using the equations of equilibrium (sum of forces equals zero in x and y directions, sum of moments equals zero) to solve for unknown forces and support reactions.
- Analyzing two-force and three-force members, as well as statically determinate and indeterminate structures.
This document contains 11 problems related to strength of materials and beams from Prof. M. S. Sivakumar of IIT Madras. The problems cover topics such as computation of reactions, shear force, bending moment, and stresses in beams. Problem 11 asks the reader to calculate stresses in a composite beam made of wood and steel with given dimensions, moduli of elasticity, and an applied bending moment. Step-by-step solutions are provided for each problem.
3 torsion- Mechanics of Materials - 4th - BeerNhan Tran
This document provides an overview of chapter 3 from the textbook "Mechanics of Materials" which covers the topic of torsion. It begins with an introduction to torsional loads on circular shafts and the concept of net torque due to internal stresses. Key concepts discussed include shear strain, stresses in the elastic range using elastic torsion formulas, and failure modes under torsion. The document provides examples of solving sample problems involving statically indeterminate shafts, determining required shaft diameters, and calculating stresses and angles of twist. It concludes with discussing plastic deformations and torsion of noncircular members.
This document provides an overview of the topics that will be covered in Chapter 1 of the textbook "Vector Mechanics for Engineers: Statics". It defines mechanics and its categories, discusses fundamental concepts like space, time, mass and force. It also outlines fundamental principles including Newton's Laws, reviews common systems of units, and describes the typical method of solving mechanics problems including drawing free-body diagrams and checking solutions. Finally, it discusses numerical accuracy in engineering problems and solutions.
This document contains chapter materials from the textbook "Vector Mechanics for Engineers: Dynamics, Ninth Edition" regarding the kinematics of rigid bodies. It discusses various types of rigid body motion including translation, rotation about a fixed axis, general plane motion, and general motion. It provides definitions and equations for the velocity and acceleration of particles in a rigid body undergoing different types of motion, including examples calculating velocity, acceleration, and angular displacement over time. Key concepts covered include absolute and relative velocity and acceleration in plane motion, instantaneous centers of rotation, and the effects of rotating reference frames.
The document discusses the stiffness matrix method for analyzing indeterminate beams and structures. It provides an introduction to the stiffness matrix method and outlines the steps to solve beams using this approach. These include determining the degrees of freedom, assigning coordinate numbers, imposing restraints, determining the stiffness matrix [S], and setting up and solving the equilibrium equation. The document then provides examples of applying the stiffness matrix method to analyze different beams, including continuous beams with various support conditions. The examples show determining the stiffness matrix, setting up the equilibrium equations, and calculating the reactions and moments at various joints.
The document describes the flexibility method for analyzing statically indeterminate beams. It discusses:
- James Clerk Maxwell published the first treatment of the flexibility method in 1864, which was later extended by Otto Mohr.
- The method introduces compatibility equations involving displacements at redundant forces to provide additional equations for solving statically indeterminate structures.
- For a two-span beam example, the redundant reaction at the middle support is chosen, compatibility equations are written, and the flexibility matrix method is demonstrated to solve for redundant forces.
Leet, Kenneth, Chia-Ming Uang, and Anne M. Gilbert. Fundamentals of structural analysis. McGraw-Hill, 2010
Chapter 1 Deflections using Energy Methods
Chapter 2 Analysis of Structures using Flexibility Method
Chapter 3 Analysis of Structures using Slope-Deflection Method
Chapter 4 Analysis of Structures using Moment Distribution Method
Chapter 5 Influence Lines for Statically Indeterminate Structures
Chapter 6 Introduction to the General Stiffness Method
Chapter 7 Matrix Analysis of Trusses by the Direct Stiffness Method
Chapter 8 Introduction of Matrix Analysis for Beams and Frames
Yes, you can apply work-energy to the combined system of blocks A and B.
For the combined system:
Initial KE = 0
Final KE = 1/2mv^2
Work done by tension in cable = 0 (internal force)
Work done by friction = -μkNds = -μk(mg)ds
Work done by gravity = -mgds
Setting Work = ΔKE:
-μk(mg)ds - mgds = 1/2mv^2
(μkmg + mg)ds = 1/2mv^2
(1+μk)mgds = 1/2mv^2
Solving
This document discusses the flexibility matrix method for analyzing statically indeterminate structures. It begins by introducing the flexibility matrix method and its formulation. The flexibility matrix relates displacements in a structure to applied forces. Examples are provided to demonstrate applying the flexibility matrix method to analyze pin-jointed plane trusses, continuous beams, and rigid jointed portal frames involving 3 or fewer unknowns. The steps of the method are outlined and illustrated through worked examples.
This document contains lecture notes from Chapter 9 of the textbook "Mechanics of Materials" by Ferdinand P. Beer, E. Russell Johnston, Jr., and John T. DeWolf. The chapter discusses deflection of beams under transverse loading. It covers derivation of the elastic curve equation, methods for determining deflection such as moment-area theorems, and analysis of statically indeterminate beams using superposition. Sample problems demonstrate applying these concepts to calculate deflection, slope, and reactions for various beam configurations.
This document provides an overview of chapter 11 from the textbook "Vector Mechanics for Engineers: Statics" by Ferdinand P. Beer and E. Russell Johnston, Jr. It discusses kinematics, which is the study of geometry of motion without considering causes of motion. Specifically, it covers rectilinear and curvilinear motion, defining position, velocity, and acceleration for particles moving along straight and curved lines. It also provides examples of determining the motion of particles experiencing different types of acceleration as a function of time, position, or velocity by integrating acceleration.
This document discusses energy methods in elasticity theory. It defines external work done by forces and internal strain energy density due to stresses in elastic materials. Equations are presented relating external work to changes in internal strain energy for various loads, including normal stresses, shear stresses, bending moments, and torsional loads. Castigliano's theorem and the principle of virtual work are also introduced as methods to determine displacements and slopes in elastic structures.
The document summarizes key concepts from a chapter in an engineering mechanics textbook on virtual work and potential energy. It covers:
1) The principle of virtual work and how it can be applied to determine the equilibrium of connected rigid bodies by setting the sum of virtual works equal to zero.
2) Defining potential energy functions for conservative forces like gravity and springs. Equilibrium is obtained by setting the first derivative of the potential energy function equal to zero.
3) Using the second derivative of the potential energy function to determine if an equilibrium point is stable, neutral, or unstable - a minimum corresponds to stable equilibrium, a maximum is unstable, and a point where the second derivative is zero is neutral equilibrium.
This document discusses force vectors and their addition. It begins by defining scalars and vectors, and explaining that vectors have both magnitude and direction while scalars only have magnitude. It then covers vector operations like addition, subtraction, and resolution of vectors into components. Methods for adding systems of coplanar forces using Cartesian vectors and resolving forces into x- and y-components are presented. Examples demonstrate finding the magnitude and direction of the resultant force vector from multiple coplanar force vectors.
The document contains solved examples of problems determining shear and bending moment diagrams for beams under various loading conditions. Key steps include drawing free body diagrams, applying equations of equilibrium, integrating to determine shear and bending moment as functions of position, and identifying maximum values. Maximum stresses are then calculated and used to design or select appropriate beam cross sections based on allowable stress values for given materials.
The document introduces the principle of virtual work which states that for a system of bodies in equilibrium, the net work done by external forces during an arbitrary virtual displacement is zero. It describes how the principle can be used to solve problems involving the equilibrium of machines. It also discusses potential energy and how the stability of equilibrium positions can be determined from the second derivative of potential energy with respect to position. Several sample problems demonstrate applying these concepts to determine forces, positions of equilibrium, and stability.
dfdf-- Created using PowToon -- Free sign up at http://www.powtoon.com/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
Este documento presenta los detalles de dos proyectos de diseño mecánico propuestos por Mauren Herrera Alvarado. El primer proyecto consiste en una máquina de coser para discapacitados que utiliza un mecanismo excéntrico biela y sensores para funcionar sin necesidad de usar los pies. El segundo proyecto es un juego mecánico en forma de auto que usa una cremallera rueda dentada y varios sensores de luz, sonido y contacto.
The document provides tips for independent app developers to achieve success. It recommends focusing on a niche market rather than trying to appeal to everyone. Developers should also choose a specific platform or community to target their app towards and build habits among users that keep them regularly engaging with the app. Personalizing the app experience for each user is also important to foster loyalty and encouragement.
Práctica 4 maneja la centrifuga de acuerdo al manual de operacion Jesus Martinez Peralta
La práctica describe el uso y componentes de una centrífuga de laboratorio. Explica que la centrífuga separa mezclas utilizando la fuerza centrífuga generada por la rotación. Detalla el procedimiento para operar la centrífuga de manera segura, incluyendo la colocación de las muestras y ajustes de velocidad y tiempo. Finalmente, un experimento muestra cómo la sedimentación depende de la velocidad y tiempo de centrifugación.
Webséminaire "La réforme de la formation professionnelle, les points clés" - ...MONA
Le 1er webséminaire de l'année, proposé dans le cadre du programme de professionnalisation 2016, avait pour sujet “les points clés de la réforme de la formation professionnelle”.
1 heure pour décrypter la loi de 2014, l’entretien professionnel, le compte personnel de formation et s’appuyer notamment sur des ressources telle que la malette RH AGEFOS-PME.
Ce webséminaire s'est déroulé le mercredi 06 janvier 2016 et était animé par Fabien Raimbaud de la MOPA et Florent Guitard du CRT Limousin, tous deux responsables professionnalisation.
This document provides an overview of the topics that will be covered in Chapter 1 of the textbook "Vector Mechanics for Engineers: Statics". It defines mechanics and its categories, discusses fundamental concepts like space, time, mass and force. It also outlines fundamental principles including Newton's Laws, reviews common systems of units, and describes the typical method of solving mechanics problems including drawing free-body diagrams and checking solutions. Finally, it discusses numerical accuracy in engineering problems and solutions.
This document contains chapter materials from the textbook "Vector Mechanics for Engineers: Dynamics, Ninth Edition" regarding the kinematics of rigid bodies. It discusses various types of rigid body motion including translation, rotation about a fixed axis, general plane motion, and general motion. It provides definitions and equations for the velocity and acceleration of particles in a rigid body undergoing different types of motion, including examples calculating velocity, acceleration, and angular displacement over time. Key concepts covered include absolute and relative velocity and acceleration in plane motion, instantaneous centers of rotation, and the effects of rotating reference frames.
The document discusses the stiffness matrix method for analyzing indeterminate beams and structures. It provides an introduction to the stiffness matrix method and outlines the steps to solve beams using this approach. These include determining the degrees of freedom, assigning coordinate numbers, imposing restraints, determining the stiffness matrix [S], and setting up and solving the equilibrium equation. The document then provides examples of applying the stiffness matrix method to analyze different beams, including continuous beams with various support conditions. The examples show determining the stiffness matrix, setting up the equilibrium equations, and calculating the reactions and moments at various joints.
The document describes the flexibility method for analyzing statically indeterminate beams. It discusses:
- James Clerk Maxwell published the first treatment of the flexibility method in 1864, which was later extended by Otto Mohr.
- The method introduces compatibility equations involving displacements at redundant forces to provide additional equations for solving statically indeterminate structures.
- For a two-span beam example, the redundant reaction at the middle support is chosen, compatibility equations are written, and the flexibility matrix method is demonstrated to solve for redundant forces.
Leet, Kenneth, Chia-Ming Uang, and Anne M. Gilbert. Fundamentals of structural analysis. McGraw-Hill, 2010
Chapter 1 Deflections using Energy Methods
Chapter 2 Analysis of Structures using Flexibility Method
Chapter 3 Analysis of Structures using Slope-Deflection Method
Chapter 4 Analysis of Structures using Moment Distribution Method
Chapter 5 Influence Lines for Statically Indeterminate Structures
Chapter 6 Introduction to the General Stiffness Method
Chapter 7 Matrix Analysis of Trusses by the Direct Stiffness Method
Chapter 8 Introduction of Matrix Analysis for Beams and Frames
Yes, you can apply work-energy to the combined system of blocks A and B.
For the combined system:
Initial KE = 0
Final KE = 1/2mv^2
Work done by tension in cable = 0 (internal force)
Work done by friction = -μkNds = -μk(mg)ds
Work done by gravity = -mgds
Setting Work = ΔKE:
-μk(mg)ds - mgds = 1/2mv^2
(μkmg + mg)ds = 1/2mv^2
(1+μk)mgds = 1/2mv^2
Solving
This document discusses the flexibility matrix method for analyzing statically indeterminate structures. It begins by introducing the flexibility matrix method and its formulation. The flexibility matrix relates displacements in a structure to applied forces. Examples are provided to demonstrate applying the flexibility matrix method to analyze pin-jointed plane trusses, continuous beams, and rigid jointed portal frames involving 3 or fewer unknowns. The steps of the method are outlined and illustrated through worked examples.
This document contains lecture notes from Chapter 9 of the textbook "Mechanics of Materials" by Ferdinand P. Beer, E. Russell Johnston, Jr., and John T. DeWolf. The chapter discusses deflection of beams under transverse loading. It covers derivation of the elastic curve equation, methods for determining deflection such as moment-area theorems, and analysis of statically indeterminate beams using superposition. Sample problems demonstrate applying these concepts to calculate deflection, slope, and reactions for various beam configurations.
This document provides an overview of chapter 11 from the textbook "Vector Mechanics for Engineers: Statics" by Ferdinand P. Beer and E. Russell Johnston, Jr. It discusses kinematics, which is the study of geometry of motion without considering causes of motion. Specifically, it covers rectilinear and curvilinear motion, defining position, velocity, and acceleration for particles moving along straight and curved lines. It also provides examples of determining the motion of particles experiencing different types of acceleration as a function of time, position, or velocity by integrating acceleration.
This document discusses energy methods in elasticity theory. It defines external work done by forces and internal strain energy density due to stresses in elastic materials. Equations are presented relating external work to changes in internal strain energy for various loads, including normal stresses, shear stresses, bending moments, and torsional loads. Castigliano's theorem and the principle of virtual work are also introduced as methods to determine displacements and slopes in elastic structures.
The document summarizes key concepts from a chapter in an engineering mechanics textbook on virtual work and potential energy. It covers:
1) The principle of virtual work and how it can be applied to determine the equilibrium of connected rigid bodies by setting the sum of virtual works equal to zero.
2) Defining potential energy functions for conservative forces like gravity and springs. Equilibrium is obtained by setting the first derivative of the potential energy function equal to zero.
3) Using the second derivative of the potential energy function to determine if an equilibrium point is stable, neutral, or unstable - a minimum corresponds to stable equilibrium, a maximum is unstable, and a point where the second derivative is zero is neutral equilibrium.
This document discusses force vectors and their addition. It begins by defining scalars and vectors, and explaining that vectors have both magnitude and direction while scalars only have magnitude. It then covers vector operations like addition, subtraction, and resolution of vectors into components. Methods for adding systems of coplanar forces using Cartesian vectors and resolving forces into x- and y-components are presented. Examples demonstrate finding the magnitude and direction of the resultant force vector from multiple coplanar force vectors.
The document contains solved examples of problems determining shear and bending moment diagrams for beams under various loading conditions. Key steps include drawing free body diagrams, applying equations of equilibrium, integrating to determine shear and bending moment as functions of position, and identifying maximum values. Maximum stresses are then calculated and used to design or select appropriate beam cross sections based on allowable stress values for given materials.
The document introduces the principle of virtual work which states that for a system of bodies in equilibrium, the net work done by external forces during an arbitrary virtual displacement is zero. It describes how the principle can be used to solve problems involving the equilibrium of machines. It also discusses potential energy and how the stability of equilibrium positions can be determined from the second derivative of potential energy with respect to position. Several sample problems demonstrate applying these concepts to determine forces, positions of equilibrium, and stability.
dfdf-- Created using PowToon -- Free sign up at http://www.powtoon.com/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
Este documento presenta los detalles de dos proyectos de diseño mecánico propuestos por Mauren Herrera Alvarado. El primer proyecto consiste en una máquina de coser para discapacitados que utiliza un mecanismo excéntrico biela y sensores para funcionar sin necesidad de usar los pies. El segundo proyecto es un juego mecánico en forma de auto que usa una cremallera rueda dentada y varios sensores de luz, sonido y contacto.
The document provides tips for independent app developers to achieve success. It recommends focusing on a niche market rather than trying to appeal to everyone. Developers should also choose a specific platform or community to target their app towards and build habits among users that keep them regularly engaging with the app. Personalizing the app experience for each user is also important to foster loyalty and encouragement.
Práctica 4 maneja la centrifuga de acuerdo al manual de operacion Jesus Martinez Peralta
La práctica describe el uso y componentes de una centrífuga de laboratorio. Explica que la centrífuga separa mezclas utilizando la fuerza centrífuga generada por la rotación. Detalla el procedimiento para operar la centrífuga de manera segura, incluyendo la colocación de las muestras y ajustes de velocidad y tiempo. Finalmente, un experimento muestra cómo la sedimentación depende de la velocidad y tiempo de centrifugación.
Webséminaire "La réforme de la formation professionnelle, les points clés" - ...MONA
Le 1er webséminaire de l'année, proposé dans le cadre du programme de professionnalisation 2016, avait pour sujet “les points clés de la réforme de la formation professionnelle”.
1 heure pour décrypter la loi de 2014, l’entretien professionnel, le compte personnel de formation et s’appuyer notamment sur des ressources telle que la malette RH AGEFOS-PME.
Ce webséminaire s'est déroulé le mercredi 06 janvier 2016 et était animé par Fabien Raimbaud de la MOPA et Florent Guitard du CRT Limousin, tous deux responsables professionnalisation.
1) The document contains solutions to homework problems from Chapter 19 of the textbook "Vector Mechanics for Engineers: Statics and Dynamics" regarding simple harmonic motion.
2) Solution 12 solves for the time it takes an object with given mass, spring constant, and natural frequency to reach an amplitude of 0.06 m.
3) Solution 13 then uses the results from Solution 12 to solve for the velocity, acceleration, and jerk of the object at that time of 0.0247 s.
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)Pawnpac
This document describes the steps needed to prepare and ship a product order. It details obtaining the necessary parts, assembling the product, testing it, and then packing and shipping it to the customer. The key steps are: obtaining the parts from vendors, assembling the product according to specifications, thoroughly testing the assembled product, and safely packing it for shipment along with necessary documentation.
The document summarizes key concepts from Chapter 6 of the textbook "Vector Mechanics for Engineers: Statics, Ninth Edition". It discusses the analysis of structures including trusses, frames, and machines. Trusses are formed from two-force members connected at joints. The method of joints and method of sections can be used to analyze trusses. Space trusses follow similar analytical methods. Sample problems demonstrate applying the methods of joints and sections to determine member forces in trusses. Frames and machines are also briefly introduced.
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.
This document provides an overview of analysis methods for statically determinate structures like trusses and frames. It defines trusses as structures composed of straight members connected at joints, with no members passing through joints. Simple trusses can be analyzed using the method of joints or method of sections to determine member forces. Space trusses and compound trusses consisting of multiple simple trusses are also discussed. Frames contain at least one member subject to multiple forces and may require considering each part as a separate rigid body. Sample problems demonstrate applying the various methods to solve for member forces and support reactions.
This document provides an excerpt from Chapter 5 of the textbook "Mechanics of Materials" which discusses the analysis and design of beams for bending. It includes an introduction to beams and bending stresses, explanations of shear and bending moment diagrams, and examples of calculating shear forces, bending moments, and stresses in beams. The chapter examines relationships between loads, shear forces and bending moments and provides methods for designing prismatic beams to withstand bending based on allowable stresses. Sample problems are included to demonstrate drawing shear and moment diagrams and selecting appropriate beam cross sections.
5 beams- Mechanics of Materials - 4th - BeerNhan Tran
This document contains chapter 5 from the textbook "Mechanics of Materials" which discusses the analysis and design of beams for bending. It includes introductions to shear and bending moment diagrams, sample problems calculating reactions and drawing the diagrams, relationships between load, shear and bending moment, and considerations for designing prismatic beams for bending. The key concepts covered are determining internal shear forces and bending moments, using equilibrium to draw shear and bending moment diagrams, and selecting beam cross sections based on required section modulus and allowable stresses.
This document provides an overview of chapter 3 from the textbook "Vector Mechanics for Engineers: Statics, Eighth Edition". It discusses rigid bodies and equivalent systems of forces. Key points include: defining the moment of a force about a point or axis, Varignon's theorem for determining moments of resultant forces, using vector and scalar products to calculate moments, and solving sample problems involving determining equivalent forces that produce the same moment. The chapter aims to describe how to analyze and simplify systems of forces acting on rigid bodies.
This document provides an overview of statics concepts for mechanical engineering, including: defining forces and vectors, methods for adding forces including the parallelogram law and rectangular components, conditions for particle equilibrium, and free-body diagrams. It includes examples of using these concepts to solve problems involving forces acting on particles and determining tensions in cables. Rectangular component analysis is also introduced for resolving forces in two and three dimensions.
This document outlines a project to implement the direct stiffness matrix method for analyzing beam and grid structures. It discusses the objectives of understanding basic matrix analysis principles and applying them to beam and grid structures. For beams, it describes generating the stiffness matrix manually and through coding in MATLAB. For grids, it similarly involves analytical and coded approaches to matrix analysis. The document presents the methodology for each approach and shows sample results of the analyses.
Chapter 6-influence lines for statically determinate structuresISET NABEUL
Influence lines provide a systematic way to determine how forces in a structure vary with the position of a moving load. To construct influence lines for statically determinate structures:
1) Place a unit load at various positions along the member and use static analysis to determine the reaction, shear, or moment at the point of interest.
2) The influence line is drawn by plotting the value of the function versus load position.
3) Influence lines for beams consist of straight line segments, and the maximum shear or moment can be found using the area under the influence line curve.
The document discusses various topics related to trusses:
1. It defines the key features of a truss, including that it consists of slender straight members connected at joints, with pinned connections that allow only axial forces in the members.
2. External loads must be applied at the joints, as members cannot support lateral loads. Most structures use multiple trusses joined together to form a space framework.
3. Simple trusses are constructed by adding members and joints, following the rule that m = 2n - 3, where m is the number of members and n is the number of joints. Simple trusses are internally rigid.
4. Two common methods for analyzing trusses
This document provides an overview of the concepts that will be covered in a chapter on stress from the textbook Mechanics of Materials. It includes definitions of key terms like stress, strain, normal stress, shear stress and bearing stress. It also gives examples of how to calculate stresses in different loading conditions like axial, eccentric, shear and bearing loads. The document provides an example problem walking through a static structural analysis and calculation of stresses and factors of safety in the members.
This document provides an overview of the concepts of stress that will be covered in Chapter 1 of the textbook "Mechanics of Materials". It begins with the objectives of studying mechanics of materials and defining stress and deformation. It then reviews concepts from statics like free body diagrams and force equilibrium. It introduces the different types of stresses - normal stress, shear stress, bearing stress - and provides examples of how to calculate each. It discusses stress under general load conditions and the state of stress. The goal is to analyze and design structures to determine stresses and ensure safety under loads.
4-Internal Loadings Developed in Structural Members.pdfYusfarijerjis
This document discusses analyzing internal loadings in structural members. It provides objectives of determining internal shear and moment at specified points and constructing shear and moment diagrams. Methods covered include using sections, sign conventions, and equilibrium equations to find reactions, shear and moment at a point. Shear and moment functions and diagrams are developed for beams and frames. The method of superposition is presented for combining loading cases to determine moment diagrams.
The document discusses internal forces in structural members and how to determine them using the method of sections. It outlines how to draw free body diagrams of structural members, determine support reactions, and use equilibrium equations to calculate shear forces and bending moments. Sample problems are worked through step-by-step to demonstrate how to analyze beams and shafts and draw the corresponding shear and moment diagrams.
- Chapter II of the Mechanics of Materials textbook covers stress and strain under axial loading. It discusses basic theory of axial deformation, statically determinate and indeterminate structures, and thermal effects on axial deformation.
- Stress-strain diagrams are presented, showing the linear elastic region below the yield point, as well as plastic deformation regions. Hooke's law relates stress and strain through Young's modulus.
- Structures can be statically indeterminate if they have more supports than required for equilibrium. Internal forces are found using compatibility of deformations considering the structure as deformable.
This document provides information about engineering mechanics and structural analysis. It includes:
1) An overview of the concepts of equilibrium of rigid bodies, statically determinate and indeterminate structures, and the conditions for each.
2) A description of the method of joints technique for analyzing plane trusses through applying equilibrium equations at each joint to determine member forces.
3) Worked examples that demonstrate applying the method of joints to solve for unknown member forces and reactions in various truss structures.
The document discusses the analysis and design of beams subjected to bending. It provides examples of how to:
1) Determine shear and bending moment diagrams by drawing free body diagrams and applying equilibrium equations.
2) Calculate maximum shear forces and bending moments.
3) Relate loads, shears, and bending moments.
4) Select beam cross sections based on required section modulus to limit normal stresses to below allowable values.
The document discusses the analysis and design of beams subjected to bending. It provides examples of how to:
1) Determine shear and bending moment diagrams by drawing free body diagrams and applying equilibrium equations.
2) Calculate maximum shear forces and bending moments.
3) Relate loads, shears, and bending moments.
4) Select beam cross sections based on required section modulus to limit normal stresses to below allowable values.
This document provides an introduction and overview of the concepts of stress and stress analysis from the textbook "Mechanics of Materials". It discusses stress, axial loading, shear stress, eccentric loading, bearing stress, and provides examples of calculating normal stress, shear stress, and bearing stress. The document also summarizes an example problem involving determining stresses in members and connections of a structural system subjected to an applied load.
Analysisi of Various Truss - Analysis 1-2.pdfajgoal14968
This document discusses the analysis of trusses using different methods. It defines a truss and describes how trusses are composed of members in either tension or compression. Two methods for analyzing trusses are presented: the method of joints, which involves writing equilibrium equations for each joint, and the method of sections, which uses a cut through members to develop force equations. Sample problems demonstrate how to use each method to solve for member forces in trusses.
thermodynamic and heat transfer examplesfahrenheit
This document outlines homework problems for a thermodynamics course. It includes 4 multi-part problems involving analyzing Otto, gas turbine, internal combustion, and Diesel cycles. The problems require calculating temperatures, pressures, work, efficiency, and other variables at each step in the thermodynamic cycles. Tables of constants are provided and equations shown. Drawings of P-V diagrams are requested to be labeled with the relevant values.
Waste heat recovery system on board shipsfahrenheit
Waste heat recovery system on board ships
Marine shipping is held responsible for environmental impacts including greenhouse gas emissions, acoustic and oil pollution. The IMO estimated theses emissions to be equal to around 4.3% of the global emissions and this ratio is expected to be tripled by the year 2020. Most of the carriers used in marine transport are using diesel, steam or gas turbine propulsion power plants. Although other renewable/hybrid propulsion systems are available they still didn’t prove themselves reliable or safe to be used in variable conditions. The most common type of machinery used for propulsion is diesel and gas or steam turbine propulsion for applications where speed is critical [1] ; [2].
The internal combustion engines are one of the main sources of pollution, the recent trend to utilize the use of fuel to the maximum potential where increasing costs in energy, increase in emissions and the fear of depletion of the natural sources of fossil fuels lead to utilization of a waste heat recovery systems to improve the overall energy efficiency [3].
About 48–51% of the total heat energy of the Internal Combustion Engine is thrown back to the atmosphere without any use which considered the main source of waste heat in marine diesel engines. The waste heat recovery system can reclaim and capture the waste heat and improve the overall efficiency of the plant. The process is considered as one of the best energy saving methods to make a more efficient usage of fuels to achieve environmental improvement as shown in Fig. 1[4] ; [5].
Refrigeration and Air Conditioning
1.Refrigeration System
Two types of valves are used on machine air conditioning systems:
Internally-equalized valve - most common
Externally-equalized valve special control
Internally-Equalized Expansion Valve
The refrigerant enters the inlet and screen as a high-pressure liquid. The refrigerant flow is restricted by a metered orifice through which it must pass.
As the refrigerant passes through this orifice, it changes from a high-pressure liquid to a low-pressure liquid (or passes from the
high side to the low side of the system).
Let's review briefly what happens to the refrigerant as we change its pressure.
As a high-pressure liquid, the boiling point of the refrigerant has been raised in direct proportion to its pressure. This has concentrated its heat content into a small area, raising the temperature of the refrigerant higher than that of the air passing over the condenser. This heat will then transfer from the warmer refrigerant to the cooler air, which condenses the refrigerant to a liquid.
The heat transferred into the air is called latent heat of condensation. Four pounds (1.8 kg) of refrigerant flowing per minute through the orifice will result in 12,000 Btu (12.7 MJ) per hour transferred, which is designated a one-ton unit. Six pounds (2.7 kg) of flow per minute will result in 18,000 Btu (19.0 MJ) per hour, or a one and one-half ton unit.
Valve details
The refrigerant flow through the metered orifice is extremely important, anything restricting the flow will affect the entire system.
If the area cooled by the evaporator suddenly gets colder, the heat transfer requirements change. If the expansion valve continued to feed the same amount of refrigerant to the evaporator, the fins and coils would get colder until they eventually freeze over with ice and the air flow is stopped.
A thermal bulb has a small line filled with C02 is attached to the evaporator tailpipe. If the temperature on the tail pipe raises, the gas will expand and cause pressure against the diaphragm. This expansion will then move the seat away from the orifice,
Internal combustion engines applied thermosciences (ferguson, kirkpatrick, ed. 2) [wiley]Focusing on thermodynamic analysis--from the requisite first law to more sophisticated applications--and engine design, here is a modern introduction to internal combustion engines and their mechanics. It covers the many types of internal combustion engines, including spark ignition, compression ignition, and stratified charge engines, and examines processes, keeping equations of state simple by assuming constant specific heats. Equations are limited to heat engines and later applied to combustion engines. Topics include realistic equations of state, stoichiometry, predictions of chemical equilibrium, engine performance criteria, and friction, which is discussed in terms of the hydrodynamic theory of lubrication and experimental methods such as dimensional analysis. --This text refers to an out of print or unavailable edition of this title.
From the Back Cover
THE PRINCIPLES OF THERMODYNAMICS, FLUID MECHANICS, AND HEAT TRANSFER APPLIED TO INTERNAL COMBUSTION ENGINES.
This completely revised text applies the principles of thermodynamics, fluid mechanics, and heat transfer to internal combustion engines. Every chapter has been reorganized and updated to clearly present current modeling and analysis techniques. The Second Edition includes new material on yhermodynamic modeling, intake and exhaust flow, friction, combustion, alternative fuels, emissions, and instrumentation. The book contains many wordked examples that illustrate important aspects of internal combustion engines.
WHAT'S NEW IN THIS EDITION
Up-to-date discussion of new engine technologies exposes readers to current engineering practice.
Java based applets for computation of engine thermodynamics, friction, and heat transfer are available on the book's web site.
Numerous worked examples and homework problems for student assignment.
Up-to-date literature references in each chapter provide a resource for further study.
New photos and figures show modern engine components and engine performance.
propulsion engineering-02-resistance of shipsfahrenheit
propulsion engineering-02-resistance of shipsMarine Engineering (Marine Propulsion)
This program is designed for those students who want training in marine gasoline and diesel engines without immediately
pursuing the Associate in Science degree. The certificate is issued by the Marine Engineering Department and attests to
the completion of the courses outlined below. These courses may also apply to the A.S. degree in Marine Engineering if a
student later decides on that option. Program duration is one (1) calendar year.
Gasoline Engines (9 credits required)
MTE 1053C 2 & 4-Cycle Outboard Engine Repair & Maintenance (3)
MTE 1166C Marine Ignition and Fuel Systems (3)
MTE 2072C Marine Propulsion Gasoline Engine Troubleshooting (3)
Diesel Engines (12 credits required)
MTE 1001C Marine Diesel Engine Overhaul (3)
MTE 1056C Marine Diesel Systems (3)
MTE 2058C Diesel Engine Testing Troubleshooting Procedures (3)
MTE 2160C Diesel Fuel Injection Systems (3)
Program Core (Choose 4)
MTE 1183C Marine Engine Installation and Repowering Procedures (3) |
MTE 1400C Applied Marine Electricity (3)
MTE 1651C Gas & Electric Welding (3)
MTE 2054C Marine 4-Cycle Stern Drive Inboard Engines (3)
MTE 2062 Marine Corrosion and Corrosion Prevention (2)
MTE 2234C Marine Gearcase, Outdrives and Transmission System (4)
Total Credits Required: 32/34
Optional Factory Certifications:
Bombardier/Evinrude Marine:
° Evinrude E-Tec Outboards
° Evinrude E-Tech V Models
Mercury Marine:
° Propeller 1
° Corrosion 1
° Hydraulics
° Smart Craft 1
° Fuels and Lubes
° Fuel II
° Electrical II
° Navigating DDT
° Outboard Rigging
° Mercruiser EFI System
State of Florida :
° Safe Boating
° Livery Certification
Other Optional Certificatios:
° USCG Captains License
° American Welding Society, Welding Certifications
° FKCC Welding Certification
This document provides an introduction to ship propulsion engineering. It discusses how ships have evolved from primitive wooden structures moved by oars and sails to various hull forms designed for different purposes and seas. Transportation by sea allows for cargo, passengers, and payloads to be carried by buoyancy forces, requiring less power than other modes of transportation. Ships move through both water and air, facing resistance drag forces from both environments. Propulsors, most commonly screw propellers, impart forward thrust forces to overcome drag and allow ships to cruise. Ship propulsion science studies resistance sources and relations to optimize hull design and select the most efficient propulsor. Selection of an ideal propeller and its rotational speed to match the engine is also
The document discusses the philosophy of quality management and integrated management systems. It provides an overview of the development of total quality management approaches from early pioneers like Deming and Juran to modern standards like ISO 9001. It describes how total quality management aims for customer satisfaction, continuous improvement, and company-wide responsibility for quality. The document also outlines various quality management techniques and standards, including ISO 9001, HACCP, and integrated management systems.
ESR spectroscopy in liquid food and beverages.pptxPRIYANKA PATEL
With increasing population, people need to rely on packaged food stuffs. Packaging of food materials requires the preservation of food. There are various methods for the treatment of food to preserve them and irradiation treatment of food is one of them. It is the most common and the most harmless method for the food preservation as it does not alter the necessary micronutrients of food materials. Although irradiated food doesn’t cause any harm to the human health but still the quality assessment of food is required to provide consumers with necessary information about the food. ESR spectroscopy is the most sophisticated way to investigate the quality of the food and the free radicals induced during the processing of the food. ESR spin trapping technique is useful for the detection of highly unstable radicals in the food. The antioxidant capability of liquid food and beverages in mainly performed by spin trapping technique.
(June 12, 2024) Webinar: Development of PET theranostics targeting the molecu...Scintica Instrumentation
Targeting Hsp90 and its pathogen Orthologs with Tethered Inhibitors as a Diagnostic and Therapeutic Strategy for cancer and infectious diseases with Dr. Timothy Haystead.
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...Sérgio Sacani
Context. With a mass exceeding several 104 M⊙ and a rich and dense population of massive stars, supermassive young star clusters
represent the most massive star-forming environment that is dominated by the feedback from massive stars and gravitational interactions
among stars.
Aims. In this paper we present the Extended Westerlund 1 and 2 Open Clusters Survey (EWOCS) project, which aims to investigate
the influence of the starburst environment on the formation of stars and planets, and on the evolution of both low and high mass stars.
The primary targets of this project are Westerlund 1 and 2, the closest supermassive star clusters to the Sun.
Methods. The project is based primarily on recent observations conducted with the Chandra and JWST observatories. Specifically,
the Chandra survey of Westerlund 1 consists of 36 new ACIS-I observations, nearly co-pointed, for a total exposure time of 1 Msec.
Additionally, we included 8 archival Chandra/ACIS-S observations. This paper presents the resulting catalog of X-ray sources within
and around Westerlund 1. Sources were detected by combining various existing methods, and photon extraction and source validation
were carried out using the ACIS-Extract software.
Results. The EWOCS X-ray catalog comprises 5963 validated sources out of the 9420 initially provided to ACIS-Extract, reaching a
photon flux threshold of approximately 2 × 10−8 photons cm−2
s
−1
. The X-ray sources exhibit a highly concentrated spatial distribution,
with 1075 sources located within the central 1 arcmin. We have successfully detected X-ray emissions from 126 out of the 166 known
massive stars of the cluster, and we have collected over 71 000 photons from the magnetar CXO J164710.20-455217.
The cost of acquiring information by natural selectionCarl Bergstrom
This is a short talk that I gave at the Banff International Research Station workshop on Modeling and Theory in Population Biology. The idea is to try to understand how the burden of natural selection relates to the amount of information that selection puts into the genome.
It's based on the first part of this research paper:
The cost of information acquisition by natural selection
Ryan Seamus McGee, Olivia Kosterlitz, Artem Kaznatcheev, Benjamin Kerr, Carl T. Bergstrom
bioRxiv 2022.07.02.498577; doi: https://doi.org/10.1101/2022.07.02.498577
The technology uses reclaimed CO₂ as the dyeing medium in a closed loop process. When pressurized, CO₂ becomes supercritical (SC-CO₂). In this state CO₂ has a very high solvent power, allowing the dye to dissolve easily.
When I was asked to give a companion lecture in support of ‘The Philosophy of Science’ (https://shorturl.at/4pUXz) I decided not to walk through the detail of the many methodologies in order of use. Instead, I chose to employ a long standing, and ongoing, scientific development as an exemplar. And so, I chose the ever evolving story of Thermodynamics as a scientific investigation at its best.
Conducted over a period of >200 years, Thermodynamics R&D, and application, benefitted from the highest levels of professionalism, collaboration, and technical thoroughness. New layers of application, methodology, and practice were made possible by the progressive advance of technology. In turn, this has seen measurement and modelling accuracy continually improved at a micro and macro level.
Perhaps most importantly, Thermodynamics rapidly became a primary tool in the advance of applied science/engineering/technology, spanning micro-tech, to aerospace and cosmology. I can think of no better a story to illustrate the breadth of scientific methodologies and applications at their best.
Describing and Interpreting an Immersive Learning Case with the Immersion Cub...Leonel Morgado
Current descriptions of immersive learning cases are often difficult or impossible to compare. This is due to a myriad of different options on what details to include, which aspects are relevant, and on the descriptive approaches employed. Also, these aspects often combine very specific details with more general guidelines or indicate intents and rationales without clarifying their implementation. In this paper we provide a method to describe immersive learning cases that is structured to enable comparisons, yet flexible enough to allow researchers and practitioners to decide which aspects to include. This method leverages a taxonomy that classifies educational aspects at three levels (uses, practices, and strategies) and then utilizes two frameworks, the Immersive Learning Brain and the Immersion Cube, to enable a structured description and interpretation of immersive learning cases. The method is then demonstrated on a published immersive learning case on training for wind turbine maintenance using virtual reality. Applying the method results in a structured artifact, the Immersive Learning Case Sheet, that tags the case with its proximal uses, practices, and strategies, and refines the free text case description to ensure that matching details are included. This contribution is thus a case description method in support of future comparative research of immersive learning cases. We then discuss how the resulting description and interpretation can be leveraged to change immersion learning cases, by enriching them (considering low-effort changes or additions) or innovating (exploring more challenging avenues of transformation). The method holds significant promise to support better-grounded research in immersive learning.
ESA/ACT Science Coffee: Diego Blas - Gravitational wave detection with orbita...Advanced-Concepts-Team
Presentation in the Science Coffee of the Advanced Concepts Team of the European Space Agency on the 07.06.2024.
Speaker: Diego Blas (IFAE/ICREA)
Title: Gravitational wave detection with orbital motion of Moon and artificial
Abstract:
In this talk I will describe some recent ideas to find gravitational waves from supermassive black holes or of primordial origin by studying their secular effect on the orbital motion of the Moon or satellites that are laser ranged.