Tensile Stress In Core Cross-Section Of Bolt Given Tensile Force And Core Diameter Calculator

Formula Used:

\[ \sigma_t = \frac{P}{\frac{\pi}{4} \times d_c'^2} \]

Tensile Stress in Bolt (σ_t):

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1. What is Tensile Stress in Bolt?

Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force. It represents the internal resistance of the bolt material to being pulled apart.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_t = \frac{P}{\frac{\pi}{4} \times d_c'^2} \]

Where:

\( \sigma_t \) — Tensile Stress in Bolt (Pa)
\( P \) — Tensile Force on Bolt (N)
\( d_c' \) — Core Diameter of Threaded Bolt (m)
\( \pi \) — Archimedes' constant (≈ 3.14159)

Explanation: The formula calculates the tensile stress by dividing the tensile force by the cross-sectional area of the bolt's core diameter.

3. Importance of Tensile Stress Calculation

Details: Calculating tensile stress is crucial for ensuring bolt integrity under load, preventing failure in mechanical assemblies, and determining appropriate bolt sizes for specific applications.

4. Using the Calculator

Tips: Enter tensile force in Newtons and core diameter in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the core diameter of a threaded bolt?
A: The core diameter is defined as the smallest diameter of the thread of the bolt, also known as the minor diameter.

Q2: Why use core diameter instead of nominal diameter?
A: The core diameter represents the smallest cross-sectional area, which is where the bolt is most likely to fail under tensile loading.

Q3: What are typical tensile stress values for bolts?
A: Tensile stress values vary by bolt material and grade, but should always be below the material's yield strength to prevent permanent deformation.

Q4: How does thread pitch affect tensile stress?
A: Thread pitch affects stress concentration factors, but this formula uses the core diameter which accounts for the reduced cross-sectional area due to threading.

Q5: Can this calculator be used for bolts under combined loading?
A: This calculator only considers pure tensile loading. For combined loading (tension + shear), additional calculations are needed.