Introduction to M4 Mounting Holes

M4 mounting holes are a common type of threaded fastener used in various applications, including electronics, machinery, and construction. These holes are designed to accommodate M4 screws, which have a nominal diameter of 4 mm. Understanding the dimensions and specifications of M4 mounting holes is essential for designers, engineers, and DIY enthusiasts to ensure proper fitment and functionality in their projects.

What are M4 Screws?

M4 screws are metric threaded fasteners with a nominal diameter of 4 mm. They are part of the metric screw sizing system, which is widely used in Europe and many other parts of the world. The “M” in M4 stands for “metric,” while the “4” represents the nominal diameter of the screw in millimeters.

M4 screws are available in various lengths and head styles, such as:
– Pan head
– Flat head
– Countersunk head
– Socket head
– Button head

Importance of Accurate M4 Mounting Hole Dimensions

Creating mounting holes with accurate dimensions is crucial for several reasons:
1. Proper fitment: Holes that are too small or too large can result in poor fitment, leading to loose or overly tight connections.
2. Structural integrity: Incorrectly sized holes may compromise the structural integrity of the assembly, causing failure under stress or load.
3. Ease of assembly: Accurate hole dimensions facilitate smooth and efficient assembly processes, saving time and reducing frustration.
4. Interchangeability: Consistent hole dimensions ensure interchangeability of components, allowing for easy replacement or modification of parts.

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M4 Mounting Hole Dimensions and Specifications

Basic Dimensions

The basic dimensions of an M4 mounting hole are as follows:
– Nominal diameter: 4 mm
– Thread pitch: 0.7 mm (standard)
– Tap drill size: 3.3 mm (for full thread engagement)

Dimension Value
Nominal diameter 4 mm
Thread pitch 0.7 mm (standard)
Tap drill size 3.3 mm (for full thread engagement)

Clearance Holes

Clearance holes are used when the screw is not required to thread into the hole, but rather pass through freely. The diameter of a clearance hole for an M4 screw is typically larger than the nominal screw diameter to allow for easy insertion and removal.

Common clearance Hole Sizes for M4 screws:
– Loose fit: 4.5 mm
– Medium fit: 4.3 mm
– Close fit: 4.1 mm

Clearance Fit Hole Diameter
Loose fit 4.5 mm
Medium fit 4.3 mm
Close fit 4.1 mm

Countersunk Holes

Countersunk holes are used with countersunk head screws to create a flush surface when the screw is fully inserted. The dimensions of a countersunk hole for an M4 screw depend on the head style and angle of the countersink.

Common countersink angles and dimensions for M4 screws:
– 82° countersink: 8.2 mm diameter, 3.3 mm drill depth
– 90° countersink: 8.0 mm diameter, 3.2 mm drill depth
– 100° countersink: 7.8 mm diameter, 3.1 mm drill depth

Countersink Angle Diameter Drill Depth
82° 8.2 mm 3.3 mm
90° 8.0 mm 3.2 mm
100° 7.8 mm 3.1 mm

Thread Length

The thread length of an M4 mounting hole depends on the thickness of the material and the desired engagement between the screw and the hole. As a general rule, the minimum thread engagement for a secure connection should be at least 1.5 times the nominal screw diameter.

For example, when using an M4 screw in a 6 mm thick material, the minimum thread length would be:
– Minimum thread length = 1.5 × 4 mm = 6 mm

It is important to note that the actual thread length may need to be adjusted based on the specific application, material properties, and loading conditions.

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” 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Creating M4 Mounting Holes

Drilling

Drilling is the most common method for creating M4 mounting holes. The process involves using a drill bit of the appropriate size to create a pilot hole, followed by tapping the hole with an M4 tap.

Steps for drilling and tapping an M4 mounting hole:
1. Select the appropriate drill bit size based on the desired thread engagement (e.g., 3.3 mm for full thread engagement).
2. Drill the pilot hole perpendicular to the surface, ensuring a clean and burr-free hole.
3. Select an M4 tap with the correct thread pitch (0.7 mm for standard M4 screws).
4. Apply tapping fluid or lubricant to the tap to reduce friction and improve thread quality.
5. Begin tapping the hole by turning the tap clockwise while applying gentle pressure.
6. After every few turns, reverse the tap slightly to break off chips and clear debris.
7. Continue tapping until the desired thread depth is achieved.
8. Clean the hole to remove any remaining chips or debris.

Other Methods

In addition to drilling and tapping, there are other methods for creating M4 mounting holes, such as:
– Thread milling: A specialized milling process that uses a thread mill to cut threads directly into the hole.
– 3D printing: Additive manufacturing techniques can be used to create parts with integrated M4 mounting holes.
– Insert molding: A process where threaded inserts are molded into plastic parts during the manufacturing process.

The choice of method depends on factors such as the material, production volume, and available equipment.

Design Considerations

When designing parts with M4 mounting holes, there are several factors to consider:

Material Properties

The material properties of the part play a significant role in determining the appropriate mounting hole dimensions and specifications. Factors such as material strength, hardness, and thickness should be taken into account when selecting the tap drill size, thread length, and clearance holes.

For example, softer materials like plastics may require a larger tap drill size to accommodate the material’s tendency to deform during tapping. In contrast, harder materials like metals may allow for tighter thread engagements and smaller clearance holes.

Loading Conditions

The expected loading conditions on the M4 mounting hole should be considered during the design process. The amount of force, direction of load, and frequency of use can influence the choice of thread length, material thickness, and fastening method.

In applications with high vibration or dynamic loading, additional measures such as thread locking compounds or mechanical locking devices may be necessary to prevent loosening of the M4 screw.

Accessibility and Assembly

The accessibility and assembly requirements of the part should also be taken into account when designing M4 mounting holes. Consider factors such as the available space for tools, the ease of aligning and inserting screws, and the potential for automated assembly processes.

In some cases, it may be advantageous to use self-tapping screws or thread-forming screws to eliminate the need for separate tapping operations, thereby simplifying the assembly process.

Aesthetics

In applications where aesthetics are important, the choice of M4 mounting hole type and screw head style can have a significant impact on the overall appearance of the part. Countersunk holes with countersunk head screws can provide a flush and streamlined look, while exposed screw heads may be more appropriate in industrial or utilitarian designs.

Consider the visibility of the mounting holes and select a design that aligns with the desired aesthetic and functional requirements of the part.

Frequently Asked Questions (FAQ)

  1. What is the difference between M4 and other metric screw sizes?
  2. M4 screws have a nominal diameter of 4 mm, while other metric screw sizes (e.g., M3, M5, M6) have different diameters. The number following the “M” indicates the nominal diameter of the screw in millimeters.

  3. Can I use a different thread pitch for M4 screws?

  4. While the standard thread pitch for M4 screws is 0.7 mm, there are also fine-thread versions available with a pitch of 0.5 mm. However, it is essential to ensure that the mounting hole and screw thread pitches match to avoid assembly issues.

  5. What is the recommended torque for tightening M4 screws?

  6. The recommended torque for tightening M4 screws depends on factors such as the material of the screw and the part being fastened. As a general guideline, the torque range for steel M4 screws is between 2.1 and 3.1 Nm (18.6 to 27.4 in-lbs). However, it is always best to refer to the manufacturer’s specifications or conduct testing to determine the optimal torque for a specific application.

  7. How deep should I tap an M4 mounting hole?

  8. The depth of the tapped hole depends on the required thread engagement and the thickness of the material. A general rule of thumb is to have a minimum thread engagement of 1.5 times the nominal screw diameter. For example, when using an M4 screw in a 6 mm thick material, the minimum thread depth would be 6 mm.

  9. Can I use M4 screws in 3D printed parts?

  10. Yes, M4 screws can be used in 3D printed parts. However, the success of using M4 screws in 3D printed parts depends on factors such as the material properties, print quality, and design of the mounting hole. It may be necessary to adjust the hole dimensions or use thread-forming screws to accommodate the unique characteristics of 3D printed materials.

Conclusion

Understanding the dimensions and specifications of M4 mounting holes is crucial for designing and manufacturing parts that require these fasteners. By considering factors such as material properties, loading conditions, accessibility, and aesthetics, designers can create robust and functional mounting solutions using M4 screws.

Accurate hole dimensions, proper thread engagements, and appropriate clearances contribute to the overall quality and performance of the assembly. Whether drilling and tapping holes, using thread milling, or employing other methods, adhering to the recommended dimensions and best practices ensures reliable and secure connections.

As with any fastening system, it is essential to refer to manufacturer specifications, industry standards, and conduct thorough testing to validate the suitability of M4 mounting holes for a given application. By doing so, designers and engineers can create products that meet the highest standards of functionality, durability, and aesthetics.

Categories: PCBA

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