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Four-block guide layout and vertical loads calculator

Engineering calculators (Beta)

Calculate signed vertical reactions for two rails with two blocks each, from spacing and load eccentricity.

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

Fz=kmg; R(x,y)=Fz/4+Fz ex·x/a²+Fz ey·y/b²; x=±a/2, y=±b/2.

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

2本のレール・各2ブロックの配置と重心位置から、鉛直方向のブロック反力を求めます。

入力・結果・適用条件を確認する

主な入力

  • 移動方向のブロック中心間隔 a
  • 左右レールの中心間隔 b
  • テーブルと積載物の合計質量 m
  • 重心の移動方向偏心 ex(中心から+x)
  • 重心の左右偏心 ey(中心から+y)
  • 鉛直荷重に掛ける倍率 k
  • 1ブロックの正方向許容負荷(例)
  • 1ブロックの逆方向許容負荷(例)

得られる結果

  • 倍率後の合計鉛直荷重 Fz (N)
  • R1:符号付き鉛直反力 (N)
  • R2:符号付き鉛直反力 (N)
  • R3:符号付き鉛直反力 (N)
  • R4:符号付き鉛直反力 (N)
  • 最大の正方向負荷 (N)
  • 最大の逆方向負荷 (N)
  • 入力許容値に対する最大使用率 (%)

Fz=kmg; R(x,y)=Fz/4+Fz ex·x/a²+Fz ey·y/b²; x=±a/2, y=±b/2.

剛体テーブルを同じ鉛直ばね剛性の4ブロックで支える線形モデルです。平面図の番号と結果を対応させます。正は上向きの支持反力、負はブロックがテーブルを引き下げる逆方向反力です。負の反力を0へ丸めず、対応する逆方向定格と比較します。許容負荷は製品の基本定格荷重をそのまま入れず、使用条件・静的余裕などから選んだ比較値です。横力、駆動力の高さ、加減速、取付誤差、予圧、ブロック内部の局所モーメントや寿命は含みません。

関連する計算

What this calculator does

Calculate signed vertical reactions for two rails with two blocks each, from spacing and load eccentricity.

Inputs, outputs and applicability

Inputs

  • Block-centre spacing a along travel
  • Rail-centre spacing b
  • Total table and payload mass m
  • CG offset ex from centre along +x
  • CG offset ey from centre along +y
  • Multiplier k on vertical load
  • Positive-direction allowable per block (example)
  • Reverse-direction allowable per block (example)

Results

  • Factored total vertical load Fz (N)
  • R1: signed vertical reaction (N)
  • R2: signed vertical reaction (N)
  • R3: signed vertical reaction (N)
  • R4: signed vertical reaction (N)
  • Largest positive-direction load (N)
  • Largest reverse-direction load (N)
  • Maximum utilization of entered allowables (%)

Fz=kmg; R(x,y)=Fz/4+Fz ex·x/a²+Fz ey·y/b²; x=±a/2, y=±b/2.

Rigid table supported by four identical vertical spring stiffnesses. Match result numbers to the top view. Positive reactions support upward; negative reactions require reverse-direction retention. Negative reactions are not clamped to zero and are compared with the reverse allowable. Enter allowable loads selected for the application and required static margin, not raw catalogue ratings. Lateral forces, drive height, acceleration, mounting errors, preload, local block moments and life are excluded.

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目的から順に確認する設計ガイド

図で条件を整理してから計算し、最後に実際の部品仕様を確認します。

Purpose-based design guides

Understand conditions with diagrams, calculate, then verify actual specifications.