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工程中常用的一類厚度遠小于平面尺寸的板件。厚度雖小，但橫向剪力所引起的變形和彎曲變形屬同一量級，在分析靜載荷下的應力和變形時，仍須考慮橫向剪切效應，垂直于板面方向的正應力則可忽略。
A kind of plate with thickness less than the plane size is commonly used in engineering. The thickness is small, but caused by transverse shear deformation and bending deformation is the same order of magnitude, in the analysis under static load stress and deformation, considered the effect of transverse shear, perpendicular to the direction of the surface normal stress can be ignored.
在分析動載荷下的應力和變形時，除考慮橫向剪切效應外，還須考慮微段的慣性力和阻尼力矩。中厚板在機械工業中早已有廣泛應用。近年來由于高壓、高溫和強輻射的環境要求，工程中板的厚度有所增加，很多板件均改用中厚板理論進行分析。
In the analysis of the stress and deformation under dynamic loading, the inertia force and damping moment should be considered in addition to the transverse shear effect. Medium and heavy plate has been widely used in mechanical industry. In recent years, due to the environmental requirements of high pressure, high temperature and strong radiation, the thickness of the plate has been increased.
若中厚板位于xy平面內，在考慮橫向剪力影響并忽略垂直于板面方向（z方向）的正應力情況下,中厚板受z方向分布載荷p的作用的彎曲微分方程式為： 式中ω為板的撓度；t為板厚；ν為泊松比；Qx、Qy分別為x、y方向的橫向剪力;Δ為拉斯算符(即)；為彎曲剛度，其中E為彈性模量。
If the plate is located in the XY plane, considering the transverse shear effects and ignore the perpendicular to the plate direction (z direction) of the normal stress condition, differential equation of plate bending by Z direction load distribution function of P is: in Omega is the deflection of plate thickness; t; V for Poisson's ratio; the transverse shear force Qx, Qy were x, Y direction; Delta Operator (i.e. for LAS); for the bending stiffness, the elastic modulus is E.
理論上 可從第一個方程求得ω,再由后兩個方程求得Qx、Qy，然后進一步求得彎矩、扭矩。但這一偏微分方程不能直接積分，所以通常用納維法、瑞利－里茲法、有限差分方法等方法求解。近年來，由于有限元法的發展，出現不少計算中厚板的程序，通過它們可以很方便地求得解答。從結果看，在考慮橫向剪切效應后，撓度ω有所增大,自振頻率和失穩臨界載荷有所降低，板件中內力的變化趨于平緩。這些變化的程度都與板的厚跨比的平方成比例。
In theory, it can be obtained from the first equation, and then Qx and Qy are obtained by the latter two equations. But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods. In recent years, due to the development of the finite element method, many programs have been developed to calculate the plate. The results show that the deflection is increased, the natural frequency and the critical load are decreased, and the change of the internal force of the plate tends to be gentle. These changes are proportional to the square of the thickness to span ratio of the plate.
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