Quickly Calculate Section Elastic Modulus of Solid Rectangular Bars: This free online tool helps you calculate the section modulus (Z) of a solid rectangular bar with just two inputs: width and height. It’s ideal for engineers, designers, and metal fabricators analyzing structural strength, especially in bending applications.
Rectangular Section Elastic Modulus Calculator
Calculation Results
Moment of Inertia (Ixx): —cm⁴Moment 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 solid rectangular sections:
Ixx = BH³/12 | Sxx = BH²/6 | Zxx = BH²/4
Iyy = HB³/12 | Syy = HB²/6 | Zyy = HB²/4
A = B × H
What is the Elastic Section Modulus of a Rectangular Section?
The elastic section modulus of a solid rectangular section is a key geometric value used to determine its resistance to bending. It is especially important in structural engineering, metal fabrication, and profile bending analysis.
Formula for Bending About the Strong Axis (X–X):
When the beam bends about its stronger axis (height is vertical):
S = (b · h2) / 6
Where:
S = Elastic section modulus
b = Width of the rectangle
h = Height of the rectangle
Formula for Bending About the Weak Axis (Y–Y):
When the beam bends about its weaker axis (width is vertical):
S = (h · b2) / 6
Application:
This value is used in the flexural stress formula:
σ = M / S
Where:
σ = Bending stress
M = Applied bending moment
S = Section modulus (mm³ or in³)
Use this calculator to quickly find the elastic section modulus of solid rectangular bars in both metric and imperial units.
- 👉 Round Bar Section Modulus Calculator – Use this for round cross-sections.
- 👉 Steel Bar Weight Calculator – Estimate the weight of your solid bar.
- 👉 Bar Bending Overview – See how rectangular bars perform under bending force.
🔷 Full Description & Key Features
The Solid Rectangular Bar Section Modulus Calculator is designed to assist in structural design, profile bending setup, and stress calculations. Whether you’re checking the capacity of a beam under load or estimating how a bar resists bending, this calculator delivers instant, accurate results.
Key Features:
- Fast and easy section modulus (Z) calculation
- Supports both mm and inches input units
- Suitable for structural steel, aluminum, brass, and more
- Ideal for rectangular solid bars used in bending applications
- Free to use – no registration required
🔷 How to Use
- Enter the width (b) of the bar.
- Enter the height (h) of the bar.
- Select your unit (mm or inch).
- Click “Calculate” to get the result in cm³ or in³.
🔷 FAQ
- Q1: What is the section modulus used for? A: Section modulus measures a bar’s resistance to bending.
- Q2: Is this calculator suitable for hollow or I-beams? A: No, this calculator is only for solid rectangular bars. Use dedicated tools for hollow or I-shaped profiles.
- Q3: Can I use inches as input units? A: Yes. Simply select “inches” before calculating to get results in in³.
- Q4: Can this be used for bending setup? A: Yes, it’s useful for estimating material behavior under bending loads, especially in profile bending operations.