Shape and position tolerances

From a motor that works reliably, to the precise functioning of a clock, to the structural integrity of a solid bridge: The applications of shape and position tolerances are diverse and we often encounter them without even realizing it. They are the invisible but crucial factors that ensure that the products and structures around us not only function, but also meet safety and quality standards.

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Dimensioning the shape and position tolerances of a component
© Carl Zeiss GOM Metrology Ltd.

What are shape and position tolerances?

Shape and position tolerances are specific types of geometric tolerances in technical production. They define the extent to which the shape and position of a manufactured part may deviate from the ideal dimensions and orientation specified in the technical drawings.

Definition of Form and Positional Tolerances

ISO GPS defines form and position tolerances as part of “Geometrical Product Specifications (GPS)” and describes them as the permissible deviations from the ideal form, orientation, location, or runout of a component. They specify the extent to which a feature may geometrically deviate from its nominal condition without impairing its function.

Why is it so important to know the shape and position tolerance?

Shape and position tolerances are the key benchmarks for evaluating the geometric precision of components. This is because deviations from the target shape and position can occur during the manufacturing process, which can impair the function and interchangeability of entire assemblies. These unavoidable deviations are tolerable as long as they are within the limits defined by shape and position tolerances.

Causes of Deviations in Form and Position

The deviations can arise for various reasons during the manufacturing process. Possible causes include manufacturing errors, cutting force, machine vibrations or temperature differences. Knowledge of shape and position tolerances is therefore essential for standardization in the manufacturing industry.

Measurement and evaluation
shape and position tolerances in quality analysis

 

Modern industrial manufacturing demands ever faster production speeds, which is why rapid measurement and validation of component tolerances is becoming increasingly important. At Quality Analysis, we offer you fast and reliable geometric dimensional inspections. Using tactile and optical measurement technology as well as industrial computer tomography, we measure high-precision shape and position tolerances, geometries, undercuts and free-form surfaces of small to large components

Dimensioned plan with shape and position tolerances
© Carl Zeiss GOM Metrology Ltd.

Shape and position tolerance and their relationship to dimensional tolerance

Measurement tolerance, shape tolerance and position tolerance are three essential components of the dimensioning and tolerancing of products. Taken together, they ensure the precision and functionality of manufactured components.

The dimensional tolerance (size tolerance) refers to the permissible deviations from the dimensions of a component. These tolerances define how large or small a component may be compared to the specified dimensions. Dimensional tolerances are therefore also fundamental to the accuracy of fit of components and have a direct impact on their interchangeability.

While dimensional tolerances define the permissible deviations in size, form and position tolerances describe the geometric tolerances of a component.

What is the Difference between Form Tolerance and Position Tolerance?

Form tolerances specify how much the actual shape of a component may deviate from the ideal geometry, regardless of size. Position tolerances, on the other hand, define the permissible deviation in the position or orientation of a feature relative to other elements or reference points. Form tolerances are crucial for the function of individual components, while positional tolerances primarily ensure precise assembly and smooth interaction within an assembly.

Examples of Form and Position Tolerances

Specific Form Tolerances
Specific types of form tolerances include straightness, flatness, roundness, cylindricity, as well as line and surface form. It should be noted that line and surface profiles are considered pure form tolerances only if they are specified without a reference. If a reference is specified, they are position tolerances.

Specific Position Tolerances
In the area of position tolerances, distinctions are made between, among other things, position, coaxiality, parallelism, angularity, and orientation. Each describes specific requirements for the spatial relationship between different geometric elements.

Tolerance Principles: Relationship between tolerance types

To ensure the quality and functionality of components, dimensional, form, and position tolerances must be considered in conjunction with one another. While dimensional tolerances define basic dimensions, form and position tolerances ensure that parts function correctly when they fall within the dimensional tolerances. However, there is no direct relationship between them when it comes to their specification.

The Principle of Independence (ISO 8015)

According to ISO 8015, the principle of independence applies by default in technical drawings. This means that dimensional, form, and position tolerances may occur independently of one another and are checked and evaluated separately. For example, a component may fall within its dimensional tolerances, but without appropriate form and position tolerances, it could still be non-functional because it may not fit properly into the overall assembly or lack the required structural integrity.

The Envelope Principle

Formerly used as a general standard, the envelope principle has been considered only a special case since the introduction of EN ISO 14405 following the withdrawal of DIN 7167 in 2011. It states that component features must remain within a geometric envelope defined by the tolerances to ensure proper fit of parts. It must be explicitly indicated on technical drawings by the designation “Size ISO 14405 E” above the title block. If this specific indication is missing, the independence principle applies automatically under the current standard.

How are form and position tolerances measured?

There are various methods and measuring systems used to assess form and position tolerances and ensure that components meet precision and quality requirements. While dimensional tolerances are typically measured between two points using calipers or a micrometer, specialized measuring instruments are used for form and position tolerances.

Analysis and valuation

Special software can be used to evaluate the measurement data, such as ZEISS Inspect Pro, which takes over the data evaluation after the measurement with an optical measuring device or a computer tomograph. The software makes it possible to inspect and visualize the shape and position tolerance, generate inspections and apply alignment methods and reference systems. For example, surface shapes, roundness and concentricities can be evaluated and visualized.

Documentation of Measurement Results

The results are usually documented in a measuring protocol and often displayed in technical drawings or CAD models together with the tolerance specifications. This integration enables a clear and precise representation of the specifications and requirements.

The documentation plays a decisive role in quality assurance and acts as proof that the components comply with the specified tolerances. VDA-compliant logging can also contribute to compliance with certain standards in the automotive industry. VDA standards specify how measurement results are to be documented in order to ensure uniform and standard-compliant reporting. Such logging not only facilitates quality assurance, but also serves as legal proof of compliance with specified tolerances.

Technical Drawings and Tolerance Specifications

Drawing entries and symbols according to standard ISO 1101

Technical drawings are an essential tool for planning and managing the design and manufacturing of components. Tolerances are specified on these drawings using dimension notes and symbols.

Tolerance Frames and Symbols according to ISO 1101

Dimensional and positional tolerances are typically specified in a tolerance frame on drawings, which defines the entire width of the tolerance zone. On technical drawings, they can be specified symmetrically or asymmetrically. These tolerance specifications are standardized using specific symbols and notations. The drawing entries and symbols are regulated by the ISO 1101 standard. The tolerance specifications provide precise instructions for engineers and technicians to ensure the required accuracy in the manufacture and inspection of components.

Reference arrows are used to link the tolerance frame to the toleranced element. The position of the arrowhead determines whether the surface or the center plane is meant.

The position of the arrowhead determines whether the surface or the center plane is intended.Compliance with these tolerance specifications ensures that the manufactured parts meet the specified standards and thus satisfy the highest quality requirements.

A Brief Summary of Form and Position Tolerances

Form and position tolerances describe the permissible deviations from the ideal geometry and position of a component. Form tolerances refer to the shape of a component, while positional tolerances define the exact position of components relative to one another. These tolerances are critical for fit accuracy and functionality in an assembly.

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