Tensile Stress In Hollow Shaft When Subjected To Axial Force Calculator

Tensile Stress in Hollow Shaft Formula:

\[ \sigma_{tp} = \frac{P_{ax\ hollow}}{\frac{\pi}{4} \times (d_o^2 - d_i^2)} \]

Axial Force on Hollow Shaft:

Outer Diameter of Hollow Shaft:

Inner Diameter of Hollow Shaft:

Tensile Stress in Hollow Shaft:

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1. What is Tensile Stress in Hollow Shaft?

Tensile Stress in Hollow Shaft is the stress that ensures that the stresses developed in a hollow shaft due to service loads do not exceed the elastic limit when subjected to axial forces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_{tp} = \frac{P_{ax\ hollow}}{\frac{\pi}{4} \times (d_o^2 - d_i^2)} \]

Where:

\( \sigma_{tp} \) — Tensile Stress in Hollow Shaft (Pa)
\( P_{ax\ hollow} \) — Axial Force on Hollow Shaft (N)
\( d_o \) — Outer Diameter of Hollow Shaft (m)
\( d_i \) — Inner Diameter of Hollow Shaft (m)
\( \pi \) — Archimedes' constant (≈ 3.14159)

Explanation: The formula calculates the tensile stress by dividing the axial force by the cross-sectional area of the hollow shaft.

3. Importance of Tensile Stress Calculation

Details: Accurate tensile stress calculation is crucial for ensuring structural integrity, preventing material failure, and designing safe mechanical components.

4. Using the Calculator

Tips: Enter axial force in Newtons, diameters in meters. All values must be valid (positive values, outer diameter > inner diameter).

5. Frequently Asked Questions (FAQ)

Q1: What is tensile stress?
A: Tensile stress is the stress state that leads to expansion or stretching of a material when subjected to axial pulling forces.

Q2: Why use hollow shafts instead of solid ones?
A: Hollow shafts provide better strength-to-weight ratio, reduce material usage, and are often more efficient for torque transmission.

Q3: What are typical units for tensile stress?
A: Tensile stress is typically measured in Pascals (Pa) or Megapascals (MPa) in the SI system.

Q4: What factors affect tensile stress in hollow shafts?
A: Material properties, cross-sectional area, magnitude of axial force, and shaft geometry all affect tensile stress.

Q5: When should this calculation be used?
A: This calculation is essential in mechanical engineering design, structural analysis, and material strength verification for hollow shaft applications.