Diameter of Stud under Load Calculator

Stud Diameter Formula:

\[ d_s = \sqrt{\frac{F_{Stud} \times 4}{\pi \times n \times f_t}} \]

Load by Stud:

Number of Bolts:

Allowable Stress:

N/m²

Stud Diameter (m):

1. What is a Diameter of Stud under Load Calculator?

Definition: This calculator determines the required diameter of studs or bolts based on the applied load, number of bolts, and allowable stress in the material.

Purpose: It helps engineers and designers ensure proper sizing of studs or bolts to safely withstand applied loads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d_s = \sqrt{\frac{F_{Stud} \times 4}{\pi \times n \times f_t}} \]

Where:

\( d_s \) — Stud diameter (meters)
\( F_{Stud} \) — Load on each stud (Newtons)
\( n \) — Number of bolts
\( f_t \) — Allowable stress in stud material (N/m²)
\( \pi \) — Mathematical constant (3.14159...)

Explanation: The formula calculates the minimum diameter needed to distribute the load safely across all bolts without exceeding the material's allowable stress.

3. Importance of Stud Diameter Calculation

Details: Proper stud sizing ensures structural integrity, prevents bolt failure, and maintains safety margins in mechanical assemblies.

4. Using the Calculator

Tips: Enter the load per stud in Newtons, number of bolts, and allowable stress in N/m². All values must be positive. The ±5% indicates typical tolerance ranges.

5. Frequently Asked Questions (FAQ)

Q1: Why is the load divided by the number of bolts?
A: This assumes equal load distribution across all bolts in the assembly.

Q2: What's a typical allowable stress for steel studs?
A: For common steel alloys, allowable stress typically ranges from 120-250 MPa (120,000,000-250,000,000 N/m²).

Q3: How does the ±5% tolerance affect calculations?
A: It accounts for variations in material properties, load distribution, and manufacturing tolerances.

Q4: Can this be used for both studs and bolts?
A: Yes, the calculation applies similarly to both studs and bolts under tensile loading.

Q5: What safety factors are included?
A: The safety factor is incorporated in the allowable stress value you input.