Core Diameter of Power Screw Calculator

✖Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.ⓘ Nominal diameter of screw [d]			+10% -10%
✖Pitch of power screw thread is the distance between screw threads and is commonly used with inch-sized products and specified as threads per inch.ⓘ Pitch of power screw thread [p]			+10% -10%

✖Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.ⓘ Core Diameter of Power Screw [d_c]

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Formula

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Core Diameter of Power Screw

Formula

`"d"_{"c"} = "d"-"p"`

Example

`"42.2mm"="50mm"-"7.8mm"`

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Core Diameter of Power Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread
d_c = d-p
This formula uses 3 Variables

Variables Used

Core diameter of screw - (Measured in Meter) - Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.
Nominal diameter of screw - (Measured in Meter) - Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.
Pitch of power screw thread - (Measured in Meter) - Pitch of power screw thread is the distance between screw threads and is commonly used with inch-sized products and specified as threads per inch.

STEP 1: Convert Input(s) to Base Unit

Nominal diameter of screw: 50 Millimeter --> 0.05 Meter (Check conversion here)
Pitch of power screw thread: 7.8 Millimeter --> 0.0078 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = d-p --> 0.05-0.0078

Evaluating ... ...

d_c = 0.0422

STEP 3: Convert Result to Output's Unit

0.0422 Meter -->42.2 Millimeter (Check conversion here)

FINAL ANSWER

42.2 Millimeter <-- Core diameter of screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Design of Screw and Nut » Core Diameter of Power Screw

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 25 Design of Screw and Nut Calculators

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

Go Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress at Root of Nut

Go Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads)

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

Go Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)

Number of Threads in Engagement with Nut given Transverse Shear Stress

Go Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)

Core Diameter of Screw given Transverse Shear Stress in Screw

Go Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress

Go Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress in Screw

Go Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress at Root of Nut

Go Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads

Overall Efficiency of Power Screw

Go Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw)

Lead of Screw given Overall Efficiency

Go Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw

Core Diameter of Screw given Direct Compressive Stress

Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))

Helix Angle of Thread

Go Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))

Mean diameter of Screw given Helix Angle

Go Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw))

Lead of Screw given Helix angle

Go Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

Core Diameter of Screw given Torsional Shear Stress

Go Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)

Torsional Shear Stress of Screw

Go Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3))

Torsional Moment in Screw given Torsional Shear Stress

Go Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16

Direct Compressive Stress in Screw

Go Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)

Axial Load on Screw given Direct Compressive Stress

Go Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4

Nominal Diameter of Power Screw given Mean Diameter

Go Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)

Pitch of Screw given Mean Diameter

Go Pitch of power screw thread = (Nominal diameter of screw-Mean Diameter of Power Screw)/0.5

Mean Diameter of Power Screw

Go Mean Diameter of Power Screw = Nominal diameter of screw-0.5*Pitch of power screw thread

Nominal Diameter of Power Screw

Go Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread

Core Diameter of Power Screw

Go Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread

Pitch of Power Screw

Go Pitch of power screw thread = Nominal diameter of screw-Core diameter of screw

Core Diameter of Power Screw Formula

Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread
d_c = d-p

Define Pitch of the Screw?

The pitch is defined as the distance measured parallel to the axis of the screw from a point on one thread to the corresponding point on the adjacent thread. It is denoted by the letter p.

How to Calculate Core Diameter of Power Screw?

Core Diameter of Power Screw calculator uses Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread to calculate the Core diameter of screw, The Core Diameter of Power Screw formula is defined as the smallest diameter of the screw thread. It is also called minor diameter. Core diameter of screw is denoted by d_c symbol.

How to calculate Core Diameter of Power Screw using this online calculator? To use this online calculator for Core Diameter of Power Screw, enter Nominal diameter of screw (d) & Pitch of power screw thread (p) and hit the calculate button. Here is how the Core Diameter of Power Screw calculation can be explained with given input values -> 42200 = 0.05-0.0078.

FAQ

What is Core Diameter of Power Screw?

The Core Diameter of Power Screw formula is defined as the smallest diameter of the screw thread. It is also called minor diameter and is represented as d_c = d-p or Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread. Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw & Pitch of power screw thread is the distance between screw threads and is commonly used with inch-sized products and specified as threads per inch.

How to calculate Core Diameter of Power Screw?

The Core Diameter of Power Screw formula is defined as the smallest diameter of the screw thread. It is also called minor diameter is calculated using Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread. To calculate Core Diameter of Power Screw, you need Nominal diameter of screw (d) & Pitch of power screw thread (p). With our tool, you need to enter the respective value for Nominal diameter of screw & Pitch of power screw thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Core diameter of screw?

In this formula, Core diameter of screw uses Nominal diameter of screw & Pitch of power screw thread. We can use 4 other way(s) to calculate the same, which is/are as follows -

Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))
Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)
Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)
Core diameter of screw = sqrt((Nominal diameter of screw)^2-(4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads)))

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