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000751

Dipl.-Ing. (FH) Stefan Frenzel

2021-03-24

Determining Shear Areas

With the SHAPE‑THIN cross‑section properties software, you can create any thin‑walled cross‑section and use it in RFEM or RSTAB as a member cross‑section. SHAPE‑THIN can give all relevant cross‑section values of any cross‑section for a design and stress analysis.

Cross-Section Properties

Cross-Section Properties

In the image, you see the calculated shear area of a T‑section. SHAPE‑THIN does not use the simplified expression according to Eurocode, but the shear areas are determined using the first moment of area. This procedure can be used for all cross‑section shapes.

I_{y} = 13, 304.2 {cm}^{4}

z_{m} = 8.786 cm

b (z) = 1 cm

h = 40 cm

S_{y 1} (z) = b (z) \cdot (|h - z_{m} - z|) \cdot (\frac{h - z_{m} + z}{2})

S_{y 2} (z) = b (z) \cdot 45 cm \cdot 9.286 cm

A_{z} = \frac{I_{y}^{2}}{\int_{- 30.214 cm}^{8.786 cm} \frac{S_{y 1} {(z)}^{2}}{b (z)} d z + \int_{9.286 cm}^{8.786 cm} \frac{S_{y 2} {(z)}^{2}}{b (z)} d z} = 30.304 {cm}^{2}

Shear Area Calculation

Knowledge Base

KB 000751 | Determining Shear Areas

Author

Mr. Frenzel is responsible for developing products for dynamic analysis. He also provides technical support for customers of Dlubal Software.

Links

Cross-Section Properties Software

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