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- Mechanics Of Materials - MOM
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MECH 3130: Mechanics of Materials Fall 2015 Laboratory Manual Volume – II Instructor Dr. Peter Schwartz Dr. Nels Madsen Lab Teaching Assistants Quang Nguyen: qzn0003@auburn.edu Abhiram Pasumarthy rzp0025@auburn.edu Jing Wu jzw0061@auburn.edu Abdullah Fahim azf0030@auburn.edu 1

CONTENTS 1. FINITE ELEMENT ANALYSIS OVERVIEW 3 2. ANALYSIS OF TRUSS – TUTORIAL 12 3. ANALYSIS OF TRUSS – EXERCISE 34 4. ANALYSIS OF BEAM – TUTORIAL 36 5. ANALYSIS OF BEAM – EXERCISE 45 6. 2D STRESS ANALYSIS AND SCF – TUTORIAL 46 7. 2D STRESS ANALYSIS AND SCF – EXERCISE 60 8. ANSYS-CAD INTERFACE & ANALYSIS – TUTORIAL 61 9. ANSYS-CAD INTERFACE & ANALYSIS – EXERCISE 73 2

LAB # 8 Finite Element Analysis Overview Source: ANSYS documentation What is Finite Element Analysis (FEA)? Finite element method is a numerical analysis technique for obtaining approximate solutions to a wide variety of engineering problems. Usually the problem addressed is too complicated to be solved satisfactorily by classical analytical methods. The finite element method produces many simultaneous algebraic equations, which are generated and solved on a digital computer. The finite element method originated as a method of stress analysis. Today finite element methods are used to analyze problems of heat transfer, fluid flow, lubrication, electric and magnetic fields, and many others. Finite element procedures are used in the design of buildings, electric motors, heat engines, ships, airframes and spacecraft. The word finite element method was first coined by Clough in 1960 in a paper on plane elasticity problems. In the years since 1960 the finite element method received widespread acceptance in engineering. With the advent of the digital computer, it opened a new avenue for solving complex plane elasticity problems. The first commercial finite element software made its appearance in 1964. The finite element method works by discretizing (breaking a real object into a large number of small elements). The behavior of each element is readily predicted by set mathematical equations. Then the computer adds up all the individual behaviors to predict the overall behavior of the actual object. The word "finite" in finite element analysis comes from the idea that there are finite numbers of elements in a model. This is in contrast to the classical approach (differential equation method) where an infinitesimal element is considered for derivation of the governing equations. To summarize, the finite element method satisfies the governing equations in an approximate or average sense whereas classical methods insist on validity of the solution at each and every point in the domain. The finite element method is employed to solve almost all physical systems. Structural mechanics (stress analysis) Mechanical vibration Heat transfer - conduction, convection, radiation Fluid Flow - both liquid and gaseous fluids 3

Various electrical and magnetic phenomena Acoustics What is a Node? A node is a coordinate location in space where the degrees of freedom (DOF) are defined. In the context of stress analysis of structural members, the DOF represent the possible motion of a point due to loading of the structure. The forces and moments are transferred between two adjacent elements through a node. What is an Element? An element is the basic building block of a finite element model. There are several basic types of elements. Typically, an element is bounded by the nodal points. Examples are solid brick and tetrahedron elements for 3 dimensional problems, Quadrilateral and triangular elements for 2 dimensional problems, beam and truss elements are typical line elements. Also the elements may be straight in shape or curved. Some General Type of Elements in ANSYS: 1. LINK 1 (or 2-D Spar or Truss): “LINK 1” is the ANSYS name of the element. “2-D Spar or Truss” is the type of the element. LINK1 can be used in a variety of engineering applications. Depending upon the application, you can think of the element as a truss, a link, a spring, etc. The 2-D spar element is a uniaxial tension-compression element with two degrees of freedom at each node: translations in the nodal x and y directions. As in a pin-jointed structure, no bending of the element is considered. 4

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