Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question
断面は真正面から見ます。穴がある場合は、材料がない部分として差し引きます。
青いBとHは実寸です。重心を通るx軸・y軸の、どちらに曲げるかを確認します。
幅 B
50 mm
高さ H
100 mm
Gが重心です。Iはたわみ、Zは曲げ応力の計算に使い、同じ軸の値を組み合わせます。
断面積 A
5,000 mm²
重心x軸まわり Ix
4,166,670 mm⁴
上側の弾性断面係数 Zx+
83,333.3 mm³
View the section straight on. Holes are subtracted as missing material.
Blue B and H are dimensions. Choose the bending direction about the centroidal x or y axis.
Width B
50 mm
Height H
100 mm
G is the centroid. Use I for deflection and Z for bending stress, consistently about the same axis.
Area A
5,000 mm²
Centroidal Ix
4,166,670 mm⁴
Elastic modulus Zx, top
83,333.3 mm³
Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale.
Section shape: rectangle
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2. Example inputs
Width BWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
50 mm
Height HWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
100 mm
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example
Area A
5,000 mm²
Centroidal Ix
4,166,670 mm⁴
Elastic modulus Zx, top
83,333.3 mm³
This example is a 50 mm by 100 mm rectangle. Use I and Z about the same bending axis. Centroid coordinates are measured from the diagram reference.
4. Which formula is used?
A = ΣAi, x̄ = ΣAi xi / A, Ix = Σ(Ixi + Ai Δyi²), Z = I / c, r = √(I / A)
Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.
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Assumptions and exclusions
Ideal homogeneous sections without corner radii, fillets, taper, local buckling or plastic section properties. Z is the elastic section modulus. Principal properties are displayed, but unsymmetric sections with nonzero Ixy do not feed the basic beam or column calculation directly. Free sections use straight polygon edges and holes.
