Yield Strength of Bolt in Tension Given Tensile Force on Bolt in Shear Calculator

Formula Used:

\[ S_{yt} = \frac{2 \times P_{tb} \times f_s}{\pi \times d_c \times h} \]

Tensile Force in Bolt (P_tb):

Factor of Safety of Bolted Joint (f_s):

Core Diameter of Bolt (d_c):

Height of Nut (h):

Tensile Yield Strength of Bolt (S_yt):

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1. What is Tensile Yield Strength of Bolt?

Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions. It's a critical parameter in bolted joint design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S_{yt} = \frac{2 \times P_{tb} \times f_s}{\pi \times d_c \times h} \]

Where:

\( S_{yt} \) — Tensile Yield Strength of Bolt (Pa)
\( P_{tb} \) — Tensile Force in Bolt (N)
\( f_s \) — Factor of Safety of Bolted Joint
\( d_c \) — Core Diameter of Bolt (m)
\( h \) — Height of Nut (m)
\( \pi \) — Mathematical constant (approximately 3.1416)

Explanation: This formula calculates the tensile yield strength based on the tensile force applied, safety factor, and geometric properties of the bolt and nut.

3. Importance of Tensile Yield Strength Calculation

Details: Accurate calculation of tensile yield strength is crucial for ensuring bolted joint safety, preventing bolt failure, and maintaining structural integrity in mechanical assemblies.

4. Using the Calculator

Tips: Enter tensile force in newtons, factor of safety (dimensionless), core diameter in meters, and nut height in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is factor of safety important in this calculation?
A: Factor of safety accounts for uncertainties in load estimation, material properties, and manufacturing variations to ensure joint reliability.

Q3: What units should be used for input values?
A: Use newtons for force, meters for length dimensions, and dimensionless values for factor of safety.

Q4: When is this calculation particularly important?
A: This calculation is critical in high-stress applications, safety-critical systems, and when designing bolted joints for dynamic or fatigue loading conditions.

Q5: How does nut height affect the tensile yield strength?
A: Nut height affects the engagement length and distribution of stress in the threaded connection, influencing the overall strength calculation.