ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Explore either assembly branch of a four-bar linkage, output angle, instantaneous speed ratio and quasi-static input torque.
Click the grid to add ordered vertices. Edit coordinates in mm; separate holes with a blank line. The last vertex closes to the first automatically.
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.
Reference calculation only. Results do not certify suitability for an actual design or its safety.
Inputs: select a blue symbol to edit Results: red-orange values and lines
3D shows an illustrative extrusion. Its display length does not enter the section calculations. Edit dimensions in 2D.
C=a(cosθ,sinθ); |D−C|=f; |D−(g,0)|=b. Velocity: a tθ+f tγ(dγ/dθ)=b tβ(dβ/dθ). Ti=To(dβ/dθ), no=ni(dβ/dθ).
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.
ReferenceEquations 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.
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4本のリンク長と入力角度から、2つの組立姿勢と出力角度、準静的な必要トルクを確認します。
C=a(cosθ,sinθ); |D−C|=f; |D−(g,0)|=b. Velocity: a tθ+f tγ(dγ/dθ)=b tβ(dβ/dθ). Ti=To(dβ/dθ), no=ni(dβ/dθ).
摩擦のない剛体・平面4節リンクです。固定支点A=(0,0)、B=(g,0)で角度の正方向は反時計回りです。Tiは入力軸から機構へ加えるトルク、Toは機構から出力側へ伝えるトルクとして仮想仕事で計算します。負のTiは同じ回転方向に対する制動・逆向き駆動を表します。Toと出力速度が逆符号なら、出力側から機構へ動力が入ります。慣性・重力・摩擦・リンク強度・ピン面圧は含みません。一直線の特異姿勢では速度・トルク計算を停止します。表示した1姿勢が成立しても全周回転できるとは限りません。
Explore either assembly branch of a four-bar linkage, output angle, instantaneous speed ratio and quasi-static input torque.
C=a(cosθ,sinθ); |D−C|=f; |D−(g,0)|=b. Velocity: a tθ+f tγ(dγ/dθ)=b tβ(dβ/dθ). Ti=To(dβ/dθ), no=ni(dβ/dθ).
Rigid, frictionless planar four-bar linkage with A=(0,0), B=(g,0) and positive counterclockwise angles. Ti is torque applied from the input shaft to the mechanism; To is torque delivered by the mechanism to the output, related by virtual work. Negative Ti indicates braking or reverse drive for positive input motion. Opposite signs of To and output speed mean power enters at the output. Inertia, gravity, friction, link strength and pin bearing are excluded. Velocity/torque calculation is rejected at collinear singular configurations. A feasible displayed pose does not prove full rotation is possible.
