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Course Criteria
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1.00 Credits
Introduces students to the special tools used by the fluid power industries and the manual skills required in implementing fluid mechanics applications. Special techniques in flow measurement and implementation. ME 411 . Course Objectives Upon successful completion of the course, students will be able to: (1)Link fluid principles with practical applied experiments that allow them to visualize the problem. (2) Perform proper procedures for developing an experiment. (3) Analyze the data and draw conclusions. (4) Produce a laboratory notebook. (5) Write formal technical reports.
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3.00 Credits
The course begins with consideration of a simple, unforced, helical spring-mass system. Free body diagrams (FBD) for the unloaded, static and dynamics conditions are used to produce an equation for the net force acting on the mass. This force is separately determined via inertial analysis. Together the FBD and inertial relationships form the differential equation of motion. The "D" operator method is used to produce the solution in terms of imaginary exponentials and the Euler equations are used to convert the solution to one in terms of Sines and Cosines. Initial values of displacement and velocity are used to determine coefficients which stem from the constants of integration. With minor variations the above process towards a solution is followed in more complicated situations involving damping, forcing and multiple degrees of freedom. Rotational vibrations of torsion bars and leaf springs are analyzed. A short exercise in fluid mechanics is used to show that mechanical energy extraction by a hydraulic damper is dependent upon mass velocity. Solutions to unforced arrangements involving springs and dampers with a single mass are solved using the equivalent system and torsion analysis approaches. When a spring mass damper system is subjected to continuous forcing the differential equation of motion is seen to have a complementary function part which involves system characteristics and a particular integral part which involves forcing function form. The solution is seen to have a part which decays with time and a steady state part. The latter part is emphasized and the method of undetermined coefficients is used as a means of solution. The phenomena of beats and resonance are examined. The Duhamel integral is used in solutions when forcing exists over an initial finite interval. Matrix methods are applied to solve the coupled set of equations of motion resulting from unforced multi-mass systems. The course closes with the examination of situations involving both linear and rotational coordinates. Prerequisites: MATH 230, MATH 310. Course Objectives Upon successful completion of the course, students will be able to: (1) Find the natural frequency and periodicity of systems having a single mass attached to a helical spring, a torsion bar or a leaf spring. (2) Find the natural frequency and logarithmic decrement of amplitude of a single mass system which is either directly or indirectly connected to springs and hydraulic dampers. (3) Use either the equivalent system or the torsional analysis approach to a solution. (4) Solve problems involving continuous forcing of the spring mass damper system. (5) Know the circumstances under which resonance and beating will occur. (6) Calculate the time dependent response to a prolonged (as opposed to instantaneous) disturbance. (7) Find the principle frequency and modes of oscillating multi-mass systems. (8) Solve problems involving the use of linear and rotational coordinates.
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4.00 Credits
The course begins with a review of basic strengths of materials including plane stress, shear stress, stresses due to bending and torsion and the stability of columns. Further work includes the generation of equations for principle stress and maximum shear stresses resulting from the compounding of bending and torsional stresses. The von Mises criterion is presented. Rayleigh's equation for the critical speed of shafts carrying gears is developed and the method is applied to systems having three concentrated loads with two bearings. Bearings might be of the sleeve or spherical roller type. A shaft design project requires that students draw from their knowledge of dynamics and strength of materials to determine the required diameter of a shaft which is subject to bending and torsion and must transmit a specified power using a given safety factor. The critical speed of the system is determined. Stresses are determined for thin walled and thick walled cylinders which are subject to internal pressure. This work is extended to deal with concentric cylinders and shrink-fits. Keys and keyways are designed using maximum shear stress and maximum bearing stress criteria. Belt drive systems are designed with consideration of lifting systems includes those using acme power screws and those using ball screws. Drum brakes, disc brakes and clutches are designed. The course closes with work on proper choice of electric motors for a given application. Prerequisites: MATH 210, ME 102, ME 213, ME 320. Course Objectives Upon successful completion of the course, students will be able to: (1) Find principle stresses and maximum shear stresses for compound stress situations. (2) Apply the von Mises criterion. (3) Determine the critical speed of a shaft under a variety of load and bearing conditions. (4) Find hoop stress in thin walled and thick walled cylinders that are subjected to internal and external pressure. (5) Design shrink fits for power transmission. (6) Design keys and key-ways. (7) Design belt drive systems. (8) Design drum brakes, disc brakes and clutches. (9) Design power screws. (10) Make appropriate electric motor selections. (11) Produce a professional design document which addresses every aspect of the design specifications.
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3.00 Credits
The course begins with the generation of the stiffness matrix for systems of springs and cables in series or parallel connected form. Rotation of axes permits rigid element to be pin jointed to form a truss. The stiffness matrix of each member is written in terms of the global "x" and "y" axes of the truss to form the global truss stiffness matrix. Loads and supports are applied to nodes (the pin joints) to form a force vector. A vector representing the "x" and "y" displacement at the nodes is written. By Hook's law the scalar multiplication of the stiffness matrix into the displacement vector is seen to equal the force vector. After a review of bending theory the FEA method is applied to simply supported and built-in beams to form the beam stiffness matrix. Using the work equivalence concept, synthetic loads and moments are applied at the nodes to represent real distributed loads that exist between the nodes. Symmetry is used where applicable. The work on frames is combined with the work on beams to form the stiffness matrix for each element of a rigidly jointed planar structure. After globalization and the formation of a vector of applied forces and moments, the system is solved to yield a vector of "x" and "y" displacements and rotations at every node. Following a review of torsional theory the FEA method is applied to grid structures for which the loading gives rise to twisting and bending. Again a stiffness matrix for a grid element is generated. Following globalization vectors are formed for forces and moments and for displacements and rotations. Solution yields displacements and rotation at the nodes. After a review of Fourier's and Poisson's equations for heat conduction the calculus of variations is used to form conductance matrices and heat flux vectors for a variety of multi element heated or cooled objects for which nodal temperatures must be determined. Internal heat generation is accounted for. Boundary conditions include adiabatic, applied heat flux and convective heating or cooling. Prerequisite: MATH 230, MATH 310, ME 213, ME 405. Course Objectives Upon successful completion of the course, students will be able to: (1) Determine displacement of masses that are loaded and connected via springs and cables to a stationary frame. (2) Analyze two dimensional loaded, pin jointed trusses. Reactions at the supports along with displacement at the nodes are quantified. (3) Find the displacements and rotations at nodes along a beam that is subject to concentrated and distributed loads. (4) Analyze two dimensional loaded rigid jointed frames. Force and moment reactions at the supports along with displacements and rotations at nodes are found. Loading might be concentrated or distributed between nodes. (5) Analyze grid structures that are subject to bending and twisting. Force and moment reactions at the supports along with displacement and rotations at nodes are found. Loading might be concentrated or distributed between nodes. (6) Determine nodal temperatures for objects that are being heated or cooled and are at steady state. Objects might have internal heating and might be subject to applied heat flux and or convective heating or cooling at the boundaries.
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2.00 Credits
The course begins with an overview of the finite element method followed by an exploration of the ANSYS interface and ANSYS help facilities. Key points in a plane are established and are connected to form a truss. Constraints and loads are applied. The displacement of key points (nodes) under the loaded condition are determined. Meshing methods are introduced and are applied to plates. Plane stress and plane strain are determined for plates that are subject to a variety of loading conditions. Axisymmetric problems are introduced. These include analysis of stress in the shell of a cylindrical vessel which is subject to internal or external pressure loading. Key points in three dimensions are established and are connected to form a three dimensional structure. Plates are applied to the structure and are meshed. Constraints and loads are applied. The stress and strain pattern over the structure is produced. Beams that have simple and built-in supports are subjected to concentrated and distributed loads. Displacement and rotation at selected nodes are established. Application of ANSYS to problems in heat transfer includes axisymetrical and asymmetrical objects that are subject to a variety of surface heat flux and convective cooling conditions. Radiative boundary conditions are also applied. The object might also have internal heat generation. Steady state and transient situations are examined. Co-requisite: ME 424. Course Objectives Upon successful completion of the course, students will be able to: (1) Design and analyze trusses. (2) Design and analyze space-frames with rigid connections that are subjected to concentrated and distributed loading. (3) Design and analyze beams that are subjected to concentrated and distributed loads. (4) Determine levels of stress in plate-like objects. (5) Determine levels of stress in cylinders that are subject to internal and external pressures. (6) Determine temperature distributions in objects that are subject to applied heat flux, convection at the surface and radiation to or from the surface. (7) Determine temperature distribution in objects having internal heat generation.
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3.00 Credits
The study of the equilibrium of particles and rigid bodies using mathematical and/or graphical analysis. Free-body diagrams are strongly emphasized. Vector methods are employed to investigate forces and moments in planar and three-dimensional problems. Pin jointed trusses and frames are analyzed using the method of joints and the method of sections. Problems involving friction and properties of area including first moment, centroid and second moment complete the course. Dual listed as CET 101. Course Objectives (1) Decompose a force into components in the directions of principal axes (2) Resolve a system of forces to determine the resultant and its direction using both trigonometric and vector methods (3) Compose free body diagrams (4) Determine the moment that a force along a specific line of action would produce about an axis through the origin and normal to the plane of the force, using vectoral and trigonometric methods (5) Represent moments as vectors and determine the strength, which a known moment about one axis has about a different axis through the origin. (Ability to resolve drive shaft torque problems) (6) Determine reactions at support points of beams and trusses (7) Analyze a truss by the method of joints and method of sections (8) Analyze simple three-dimensional frames using vectors (9) Find centroid and moment of inertia of various shapes
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3.00 Credits
PRE: CET 101 or MET 101 Course Description This Kinematics and kinetics associated with the simple or complex motion of particles and rigid bodies based upon the principles of the differential and integral calculus. Kinematics involves analysis and quantification of position, velocity and acceleration of the body. Kinetics involves applied force, momentum, potential and kenetic energy, impulse and moment of momentum. There is extensive coverage of ballistics, relative motion and central force field problems. Course Objectives (1) Use knowledge of position to find velocity and acceleration (2) Use knowledge of acceleration to find velocity and position (3) Calculate centrifugal forces (4) Analyze the motion of projectiles (5) Calculate kinetic energy, potential energy and work (6) Calculate impulse and momentum (7) Analyze central force field motion
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3.00 Credits
No course description available.
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3.00 Credits
A study of atomic and crystalline structure as a means of understanding material behavior. The influence of defects, strengthening mechanisms and heat treatments are examined. Mechanical strength properties in tension/compression, shear, hardness and impact and related test procedures are investigated. The Iron-Carbon phase diagram is studied. Coverage also addresses ceramics, plastics and composites. Dual listed as CET 212. Course Objectives (1) Analyze crystalline structures of engineering materials (2) Determine the role of imperfections as they effect material properties, and lead to failure (3) Use Young's modules, modules of rigidity and Poission's Ratio in stress and strain calculations (4) Determine means of mitigating corrosion (5) Apply knowledge of phase diagrams to design heat treatment methodologies (6) Apply knowledge of electrical properties such as ohmic resistivity (7) Analyze the properties of ceramics (8) Make appropriate materials selections for specific manufacturing applications
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3.00 Credits
The study of stress and strain, deformation, riveted and welded joints, thin-wall pressure vessels, torsion, shear and stresses in beams, design of beams, deflection of beams, Mohr's circle and columns. Reference to applications for civil and mechanical engineering technology. Dual listed as CET 213. Course Objectives (1) Learn the fundamental concepts of strength of materials. (2) Skills learned in statics will be reinforced. (3) Combine the fields of analysis and strength of materials to produce a design whose performance can be predicted. (4) Develop their own free body and load diagrams in response to a design problem.
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