Use this Hollow Circular Pipe Section Modulus Calculator to quickly determine the structural strength of round steel pipes. Ideal for engineers, designers, and metal fabricators working on pipe bending and load calculations.
Circular Hollow Section Elastic Modulus Calculator
Moment of Inertia (Iyy): —cm⁴
Elastic Section Modulus (Sxx): —cm³
Elastic Section Modulus (Syy): —cm³
Plastic Section Modulus (Zxx): —cm³
Plastic Section Modulus (Zyy): —cm³
Cross-sectional Area (A): —cm²
Formulas for circular hollow sections:
Ixx = Iyy = π(D⁴ – (D-2t)⁴)/64
Sxx = Syy = 2Ixx/D
Zxx = Zyy = (D³ – (D-2t)³)/6
A = π(D² – (D-2t)²)/4
What is the Elastic Section Modulus of a Hollow Circular Pipe?
The elastic section modulus of a hollow circular pipe (tube) is a geometric property used to measure its resistance to bending stresses. It plays a critical role in structural and mechanical engineering applications involving pipes and tubular profiles.
Calculation Formula:
The elastic section modulus S for a hollow circular section is calculated as:
S = \frac{\pi (D^4 - d^4)}{32 \cdot D}
Where:
D = Outer diameter
d = Inner diameter
Application:
This property is used in bending stress calculations:
σ = \frac{M}{S}
Where:
σ = Maximum bending stress
M = Applied bending moment
S = Section modulus (mm³ or in³)
Use our calculator to quickly find the elastic section modulus of hollow circular pipes in both metric and imperial units.
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🔹 Overview & Features
This calculator provides:
- Section modulus (Z) and Moment of inertia (I)
- Supports outer and inner diameter input
- Works for steel, aluminum, and other hollow tubes
- Useful for pipe bending, structural analysis, and machine design
- Instant results in mm³, in³, or custom units
🔹 How to Use
- Enter the outer diameter of the pipe
- Enter the wall thickness or inner diameter
- Choose the unit system (metric or imperial)
- Click “Calculate” to get the results
- Use “Reset” to clear all values
🔹 FAQ
Q: Can I use this for plastic pipes?
A: Yes, if you know the dimensions, the formula applies to all hollow cylindrical shapes.
Q: Does it support thick-walled tubes?
A: Yes. It calculates based on exact outer and inner diameters.
Q: Is the calculator accurate for high-pressure pipe systems?
A: It gives geometrical properties, but additional stress checks are required for pressure systems.