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Hydrostatic side-wall force and centre of pressure calculator

Engineering calculators (Beta)

Find the resultant hydrostatic force and centre of pressure on a vertical rectangular wall.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

F=ρgB(h0H+H²/2); ycp=(h0H²/2+H³/3)/(h0H+H²/2); depth=h0+ycp; Mbottom=F(H−ycp).

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

この計算で求められること

鉛直な長方形の壁にかかる静水圧の合力と、その作用点を求めます。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • 壁の幅 B (mm / cm / m)
  • 水に浸かる壁の高さ H (mm / cm / m)
  • 自由水面から壁の上端まで h0 (mm / cm / m)
  • 液体密度 ρ (kg/m³ / g/cm³ / g/L)

得られる結果

  • 壁にかかる静水圧の合力 (N)
  • 自由水面から合力作用点まで (mm)
  • 壁の下端まわりのモーメント (N·m)
  • 壁下端のゲージ圧 (kPa)

計算式の概要

F=ρgB(h0H+H²/2); ycp=(h0H²/2+H³/3)/(h0H+H²/2); depth=h0+ycp; Mbottom=F(H−ycp).

一定密度で静止した液体、鉛直な長方形面、自由表面は大気圧、壁の反対側も大気圧とするゲージ圧の計算です。液面上の追加圧、波、流れ、地震、壁材・補強・接合部の強度は含みません。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Find the resultant hydrostatic force and centre of pressure on a vertical rectangular wall.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Wall width B (mm / cm / m)
  • Submerged wall height H (mm / cm / m)
  • Depth from free surface to wall top h0 (mm / cm / m)
  • Liquid density ρ (kg/m³ / g/cm³ / g/L)

Calculated results

  • Resultant hydrostatic force (N)
  • Centre-of-pressure depth from free surface (mm)
  • Moment about the wall bottom edge (N·m)
  • Gauge pressure at wall bottom (kPa)

Formula overview

F=ρgB(h0H+H²/2); ycp=(h0H²/2+H³/3)/(h0H+H²/2); depth=h0+ycp; Mbottom=F(H−ycp).

Static constant-density fluid on a vertical rectangular face, with atmospheric pressure at the free surface and on the other wall side. Additional surface pressure, waves, flow, earthquakes and wall/reinforcement/joint strength are excluded.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

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