Talk:Bending of plates

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Earthquakes

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[Untitled]

The article says: "The quantity N has units of force per unit thickness. The quantity M has units of moment per unit thickness." Comment: Shouldn't that be force and moment per unit LENGTH? N and M are stresses integrated over thickness, so N and M times in-plane length should be force and moment. 80.171.108.89 (talk) 14:31, 26 October 2013 (UTC)[reply]

Corrected. Thank you. Bbanerje (talk) 04:13, 25 November 2013 (UTC)[reply]

Small/Large Plate Deflection

It is stated in many locations (including here) which equations govern thin plates experiencing small deflection and thin plates experiencing large deflection - but I have found nothing specific regarding magnitude of deflection (with respect to plate thickness) that distinguishes between "small" and "large" deflections. Does anyone have any information (in particular a source?) discussing this? Thanks. mjd 71.120.2.107 (talk) 11:38, 3 August 2022 (UTC)[reply]

Cannot see clear match between symbols in the text and those in the figure

The symbols in the second figure do not encompass e.g. Mx and My, and to me the relation - if any - between e.g. Mxx, Mxy and Myy and Mx an My remains unclear.Redav (talk) 09:16, 22 August 2022 (UTC)[reply]

$\nabla ^{2}\nabla ^{2}w=-\nabla ^{2}\nabla ^{2}w$ ??

The current article contains both:

{\cfrac {\partial ^{4}w}{\partial x^{4}}}+2{\cfrac {\partial ^{4}w}{\partial x^{2}\partial y^{2}}}+{\cfrac {\partial ^{4}w}{\partial y^{4}}}={\cfrac {q}{D}}

and:

\nabla ^{2}\nabla ^{2}w=-{\frac {q}{D}}\,.

In between these equations no redefinition of variables is mentioned, so either $\nabla ^{2}\nabla ^{2}w=0=q$ or some error is contained in the article.Redav (talk) 10:43, 26 August 2022 (UTC) Redav (talk) 10:43, 26 August 2022 (UTC)[reply]

Circular clamped edge plates

The equations for the bending moments at the end of this section are dimensionally incorrect. They give N, not Nm 205.239.40.3 (talk) 09:40, 19 July 2023 (UTC)[reply]

[Untitled]

Small/Large Plate Deflection

Cannot see clear match between symbols in the text and those in the figure

∇ 2 ∇ 2 w = − ∇ 2 ∇ 2 w {\displaystyle \nabla ^{2}\nabla ^{2}w=-\nabla ^{2}\nabla ^{2}w} ??

Circular clamped edge plates

$\nabla ^{2}\nabla ^{2}w=-\nabla ^{2}\nabla ^{2}w$ ??