Section Properties Calculator
Professional Engineering Tool
矩形截面 (Rectangle)
面积: A = b × h
惯性矩: I = (b × h³) / 12
截面模量: W = (b × h²) / 6
b = 宽度, h = 高度
工字钢截面 (I-Beam)
面积: A = 2 × B × tf + (H - 2×tf) × tw
惯性矩: I = (B × H³) / 12 - ((B - tw) × (H - 2×tf)³) / 12
截面模量: W = I / (H / 2)
H = 总高度, B = 翼缘宽度, tw = 腹板厚度, tf = 翼缘厚度
圆管截面 (Pipe)
面积: A = π × (D² - d²) / 4
惯性矩: I = π × (D⁴ - d⁴) / 64
截面模量: W = I / (D / 2)
D = 外径, d = 内径 = D - 2×t, t = 壁厚
方通截面 (Square Tube)
面积: A = B × H - b × h
惯性矩: I = (B × H³ - b × h³) / 12
截面模量: W = I / (H / 2)
B = 外宽, H = 外高, b = B - 2×t, h = H - 2×t, t = 壁厚
槽钢截面 (Channel)
面积: A = 2 × B × tf + (H - 2×tf) × tw
惯性矩: I = (tw × H³)/12 + 2 × [(B × tf³)/12 + B × tf × (H/2 - tf/2)²]
截面模量: W = I / (H / 2)
H = 总高度, B = 翼缘宽度, tw = 腹板厚度, tf = 翼缘厚度
角钢截面 (Angle)
面积: A = t × (2 × a - t)
惯性矩: I = (t × a³ + (a-t) × t³)/12 + (a-t) × t × (a/2)²
截面模量: W = I / (a - yc)
a = 边宽, t = 边厚, yc = 形心到边缘距离
说明
- • 惯性矩 (I) 表示截面抵抗弯曲变形的能力，单位为 mm⁴ 或 in⁴
- • 截面模量 (W) 用于计算弯曲应力，σ = M / W，单位为 mm³ 或 in³
- • 所有计算基于弹性理论，假设材料为均匀、各向同性
Comprehensive Section Properties Calculator for Structural Engineers
This professional-grade tool provides instantaneous calculation of geometric properties for common structural shapes. Whether you are a structural engineer, a student, or an architect, this calculator simplifies the tedious process of manual calculation for Moment of Inertia, Section Modulus, and Cross-sectional Area. Support for both Metric (mm) and Imperial (inch) units ensures global applicability for projects following GB, AISC, or Eurocode standards.
Supported Shapes & Calculation Parameters
Our calculator supports six essential engineering profiles:
- • Rectangle:Ideal for beam and column analysis.
- • I-Beam:Crucial for steel structure design and load-bearing analysis.
- • Pipe:For hydraulic and structural piping.
- • Square Tube:Common in modern frame construction.
- • Channel:Used in secondary structural members and bracing.
- • Angle:Essential for truss design and connection detailing.
Key Output Parameters:
- • Area (A):The total cross-sectional area, essential for axial stress analysis.
- • Moment of Inertia (I):Measures the section's resistance to bending and deflection.
- • Section Modulus (W/Z):Used to determine the maximum bending stress the section can withstand.
Why Engineers Need This Tool?
In structural design, accuracy is non-negotiable. A slight error in calculating the Moment of Inertia (I) can lead to incorrect deflection results, potentially compromising the safety of a structure. This tool eliminates manual arithmetic errors and provides the core formulas (Euler-Bernoulli beam theory) transparently, allowing for easy verification against design codes.
Important Disclaimer
This calculator is provided for educational and preliminary design reference only. All results must be verified by a licensed professional engineer before being used in actual construction projects. The author assumes no liability for any engineering decisions made based on this tool.