ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Navier solution for an isotropic thin plate supported along all four complete edges.
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.
Dp=Et³/[12(1−ν²)]; wmn=16q/[π⁶mnDp(m²/a²+n²/b²)²] (m,n odd); wc=Σwmn sin(mπ/2)sin(nπ/2); Mx,c=Dpπ²Σ(m²/a²+νn²/b²)wmn sin(mπ/2)sin(nπ/2); My,c: exchange x/y; σvm,c=6√(Mx,c²−Mx,cMy,c+My,c²)/t².
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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四辺全長で支える等方薄板をNavier級数で計算します。四隅の脚支持とは異なります。
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。
Dp=Et³/[12(1−ν²)]; wmn=16q/[π⁶mnDp(m²/a²+n²/b²)²] (m,n odd); wc=Σwmn sin(mπ/2)sin(nπ/2); Mx,c=Dpπ²Σ(m²/a²+νn²/b²)wmn sin(mπ/2)sin(nπ/2); My,c: exchange x/y; σvm,c=6√(Mx,c²−Mx,cMy,c+My,c²)/t².
均質・等方・一定厚のKirchhoff薄板。四辺全長でw=0・法線曲げモーメント=0、面内は自由に変位し、隅の浮き上がりを拘束するモデルです。奇数項m,n≤101の級数。応力出力と許容値比較は中央のみで、板面全体の最大応力や隅のねじり・保持反力を判定しません。短辺/厚さ<20、縦横比>5は対象外。たわみ/厚さ>0.2では微小たわみ仮定に注意を表示します。四隅脚支持・固定辺・穴・局所荷重・異方性・せん断変形は対象外。自重はqに含めて入力します。
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。
Navier solution for an isotropic thin plate supported along all four complete edges.
The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.
Dp=Et³/[12(1−ν²)]; wmn=16q/[π⁶mnDp(m²/a²+n²/b²)²] (m,n odd); wc=Σwmn sin(mπ/2)sin(nπ/2); Mx,c=Dpπ²Σ(m²/a²+νn²/b²)wmn sin(mπ/2)sin(nπ/2); My,c: exchange x/y; σvm,c=6√(Mx,c²−Mx,cMy,c+My,c²)/t².
Homogeneous isotropic constant-thickness Kirchhoff plate. All four entire edges have w=0 and zero normal bending moment, with free in-plane motion and corners held against uplift. Odd terms m,n≤101. Stress output and comparison are at the centre only, not whole-plate maximum, corner twisting or hold-down reactions. Short-span/thickness<20 or aspect ratio>5 is excluded. Deflection/thickness>0.2 flags the small-deflection assumption. Four isolated legs, clamped edges, holes, local loads, anisotropy and shear deformation are excluded. Include self weight in q.
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.
