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Forging new generations of engineers

Mass Property Analysis. Mass Property Analysis. . . . . The size, volume, surface area, and other properties available from a solid model are most often part of the design constraints your design must satisfy.. The following are mass property calculations available in today's solid modeling programs

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Forging new generations of engineers

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    2. Mass Property Analysis

    3. Mass Property Analysis

    4. Mass Properties Volume Surface Area Density Mass

    5. Volume Volume is the amount of three-dimensional space contained within an object. Design engineers use volume to determine the amount of material needed to produce a part. Different formulas for different shapes The teacher may want to supplement student knowledge about the use of formulas and related mathematical properties using variables.The teacher may want to supplement student knowledge about the use of formulas and related mathematical properties using variables.

    6. Volume in Cubic Units It is imperative to keep your units the same when measuring and calculating volume. Cubic inches (in3) Cubic feet (ft3) Cubic yards (yds3) Cubic centimeters (cm3) Cubic meters (m3)

    7. Volume Formulas for Prisms, Cylinders, Pyramids, or Cones If B is the area of the base of a prism, cylinder, pyramid, or cone and H is the height of the solid, then the formula for the volume is

    8. Area Formulas for Bases of Prisms, Cylinders, and Pyramids Rectangular Prism – base is rectangle, therefore A = length * width or A = lw

    9. Volume of a Cone A Special Case A cone is 1/3 of a cylinder. The base of a cylinder is a circle. The area of a circle is A=pr2 Therefore, the formula for the volume of a cone is

    10. Density Density is defined as mass per unit volume. Density is different for every material and can be found in a machinist handbook. Density is always provided, either by looking in a machinist handbook or from tables provided in 3D modeling software.Density is always provided, either by looking in a machinist handbook or from tables provided in 3D modeling software.

    11. Mass Mass is the amount of matter in an object or the quantity of the inertia of the object. Many materials are purchased by weight; to find weight, you need to know the mass. Explain to students that the units for the inches cubed are cancelled out through division; since there are inches cubed in the numerator and inches cubed in the denominator they equal one. One times pounds leaves pounds.Explain to students that the units for the inches cubed are cancelled out through division; since there are inches cubed in the numerator and inches cubed in the denominator they equal one. One times pounds leaves pounds.

    12. Surface Area Surface area is the squared dimensions of the exterior surface. Surface area is important when determining coatings and heat transfer of a part.

    14. Additional Mass Properties

    15. Centroid A 3D point defining the geometric center of a solid. Do not confuse centroid with the center of gravity. The two only exist at the same 3D point when the part has uniform geometry and density.

    16. Moments of Inertia An object’s opposition to changing its motion about an axis. This property is most often used when calculating the deflection of beams.

    17. Products of Inertia Is similar to moments of inertia only that products of inertia are relative to two axes instead of one. You will notice an XY, YZ, or ZX after the I symbol when defining products of inertia compared to moments of inertia.

    18. Radii of Gyration A dimension from the axis where all mass is concentrated, and will produce the same moment of inertia.

    19. Principal Axes The lines of intersection created from three mutually perpendicular planes, with the three planes’ point of intersection at the centroid of the part.

    20. Principal Moments Principal moments are the moments of inertia related to the principal axes of the part.

    21. Brodinski, K. G. (1989). Engineering materials properties and selection. Prentice Hall, Inc., ISBN 0-13-277997-8. Budinski, K. G. (1992). Engineering materials, 4th Edition. Prentice Hall, Inc., ISBN 0-13-276635-3. Gere, J. M., & Timoshenko, S. P. (1997). Mechanics of materials, PWS Publishing Company, ISBN 0-534-93429-3. Lockhart, S. D., & Johnson, C. M. (1999). Engineering design communication: Conveying design through graphics, Preliminary Edition, Addison Wesley Longman, Inc., ISBN 0-201-38042-0. Madsen, D. A., Shumaker, T. M., Turpin, J. L., & Stark, C. (1994). Engineering design and drawing, 2nd Edition, Delmar Publishers Inc., ISBN 0-8273-6720-1. Sources

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