Geometric Tolerancing

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1 Geometric Tolerancing Distorted Objects by Suzy Lelievre Scale Transform SALOME Geometry User s Guide: Scale Transform Baek-Ki-Kim-Twisted Stool Mesh

2 Geometric Tolerancing What is it?

3 Geometric Tolerancing Unlike Dimensional Tolerance that concerns itself with size control, Geometric Tolerancing concerns itself with SHAPE CONTROL Geometric Tolerancing influences the manufacturing and inspection process chosen Geometric Tolerancing is required in features in industries such as Aerospace component manufacture Automobile component manufacture Precision machinery manufacture Biomedical component manufacture Geometric Tolerancing is used where high interchange of parts is required Geometric Tolerancing and Dimensional Tolerancing are linked

4 Basic Concepts of Geometry Tolerancing Geometry Tolerances are specified according to functional requirements: Use it if it is needed, if not DO NOT as it adds to the expense of the manufacture, inspection of a component and clarity of an engineering drawing. Depending on the feature to be toleranced and the way in which it is dimensioned, the tolerance zone will be one of: The space between two parallel lines The space within a circle The space between two concentric circles The space within a cylinder The space between two co-axial cylinders The space between two equidistant surfaces The space within a sphere

5 Geometry Tolerancing Symbolic Structure

6 Interpretation of Geometry Tolerancing Flatness A Flatness tolerance is used to control the flatness of a surface. The tolerance zone is a specified space separating two parallel planes between which the surface to be controlled must lie.

7 Straightness A straightness tolerance may be used to control: 1. Straightness of a line 2. Straightness of an axis in a single plane 3. Straightness of the axes of solids of revolution

8 Perpendicularity A perpendicularity tolerance is used to control: 1. a line with respect to a datum line 2. an axis with respect to a datum plane

9 3. a surface with respect to a datum axis 4. a surface with respect to a datum plane

10 Position A position tolerance is used to control the location of a feature by limiting its deviation from a specified true position. 1. a hole axis 2. a surface

11 Position (Concentricity) A concentricity tolerance is used to control a condition in which two or more features such as circles, spheres cylinders, cones or hexagons are required to share a common centre or axis

12 Case Study Qantas A380 Oil Stub Pipe Late in 2010, a Qantas A380 suffered a catastrophic failure of one of its four main Rolls-Royce engines. Investigations point to a failure in an oil stub pipe caused by a manufacturing defect.

13 Position (Symmetry) A symmetry tolerance is used to control a condition in which one or more features are symmetrically disposed either side of a centre line (axis) or centre plane (median) of another feature which is specified as the datum.

14 Cylindricity A cylindricity tolerance specifies a tolerance zone consisting of an annular space between two co-axial cylinders having a difference in radii equal to the specified tolerance.

15 Angularity An angularity tolerance is used to control angular relationships of any angle between straight line (axes) or surfaces with straight line elements such as flat or cylindrical surfaces

16 Circularity A circularity tolerance specifies the width of an annular tolerance zone, bounded by two concentric circles in the same plane within which the circumference of the feature must lie.

17 Parallelism A parallelism tolerance is used to control the orientation of features related to one another by an angle of zero degrees.

18 Example (A Bad One)

19 Effects of Combining Linear and Geometric Tolerances In tolerancing features of size on mating components where ease of assembly is important, it should be realised that the least favourable condition for assembly occurs when mating sizes are the maximum material size allowable by the individual tolerance of each component. Greater variations in shape geometry can be accepted as the mating sizes approach their least material size.

20 Virtual Size Virtual size refers to the dimension of the overall envelope of perfect form which touches the highest points of a feature. For a shaft, it is the maximum measured size plus the actual effect of form variations such as flatness, straightness, roundness, cylindricity and profile. For a hole, it is the minimum measured size minus the actual effect of form variations such as flatness, straightness, roundness, cylindricity and profile.

21 Interpret this Example of Geometric Tolerancing

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