Axial Load On Screw Given Transverse Shear Stress At Root Of Nut Calculator

Formula Used:

\[ W_a = \pi \times \tau_n \times t \times d \times z \]

Transverse Shear Stress In Nut (τₙ):

Thread Thickness (t):

Nominal Diameter Of Screw (d):

Number Of Engaged Threads (z):

Axial Load On Screw (Wₐ):

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1. What is Axial Load on Screw?

Axial load on screw is the instantaneous load applied to the screw along its axis. It represents the force that the screw must withstand in the direction parallel to its longitudinal axis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_a = \pi \times \tau_n \times t \times d \times z \]

Where:

\( W_a \) — Axial load on screw (N)
\( \tau_n \) — Transverse shear stress in nut (Pa)
\( t \) — Thread thickness (m)
\( d \) — Nominal diameter of screw (m)
\( z \) — Number of engaged threads
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula calculates the axial load capacity of a screw based on the transverse shear stress at the root of the nut and the geometric properties of the screw thread engagement.

3. Importance of Axial Load Calculation

Details: Accurate axial load calculation is crucial for determining the load-bearing capacity of screw connections, ensuring structural integrity, and preventing mechanical failures in threaded assemblies.

4. Using the Calculator

Tips: Enter transverse shear stress in pascals, thread thickness in meters, nominal diameter in meters, and number of engaged threads. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is transverse shear stress in nut?
A: Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation.

Q2: How is thread thickness defined?
A: Thread thickness is defined as the thickness of a single thread measured perpendicular to the thread axis.

Q3: What is nominal diameter of screw?
A: Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.

Q4: Why does the number of engaged threads matter?
A: More engaged threads distribute the load over a larger area, reducing stress concentration and increasing the overall load capacity of the connection.

Q5: What are typical applications of this calculation?
A: This calculation is essential in mechanical engineering applications involving bolted joints, threaded fasteners, power screws, and any assembly where screws carry axial loads.