Core Diameter Of Bolt Given Tensile Force On Bolt In Tension Calculator

Core Diameter of Bolt Formula:

\[ d_c = \sqrt{\frac{P_{tb}}{\frac{\pi}{4} \cdot \frac{S_{yt}}{f_s}}} \]

Tensile Force in Bolt (P_tb):

Tensile Yield Strength of Bolt (S_yt):

Factor of Safety of Bolted Joint (f_s):

Core Diameter of Bolt (d_c):

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1. What is the Core Diameter of Bolt?

The Core Diameter of Bolt is defined as the smallest diameter of the thread of the bolt. The term "minor diameter" replaces the term "core diameter" as applied to the thread. It is a critical parameter in bolted joint design and analysis.

2. How Does the Calculator Work?

The calculator uses the Core Diameter of Bolt formula:

\[ d_c = \sqrt{\frac{P_{tb}}{\frac{\pi}{4} \cdot \frac{S_{yt}}{f_s}}} \]

Where:

\( d_c \) — Core Diameter of Bolt (m)
\( P_{tb} \) — Tensile Force in Bolt (N)
\( S_{yt} \) — Tensile Yield Strength of Bolt (Pa)
\( f_s \) — Factor of Safety of Bolted Joint
\( \pi \) — Archimedes' constant (≈3.1416)

Explanation: The formula calculates the minimum core diameter required to withstand the tensile force while maintaining the specified factor of safety.

3. Importance of Core Diameter Calculation

Details: Accurate core diameter calculation is crucial for ensuring bolted joint integrity, preventing bolt failure under tensile loads, and maintaining proper safety margins in mechanical designs.

4. Using the Calculator

Tips: Enter tensile force in Newtons, tensile yield strength in Pascals, and factor of safety. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between core diameter and nominal diameter?
A: Core diameter is the smallest diameter of the thread, while nominal diameter is the theoretical major diameter of the external thread.

Q2: Why is factor of safety important in bolt design?
A: Factor of safety accounts for uncertainties in material properties, manufacturing tolerances, and unexpected loading conditions.

Q3: How does tensile yield strength affect bolt design?
A: Higher tensile yield strength allows for smaller core diameters or higher load capacities for the same diameter.

Q4: Can this formula be used for all types of bolts?
A: This formula is generally applicable for standard bolts under tensile loading, but specialized bolts may require additional considerations.

Q5: What units should be used for input values?
A: Use Newtons for force, Pascals for strength, and the factor of safety is dimensionless.