铁木辛柯梁

铁木辛柯梁（Timoshenko beam）就是能考虑剪切变形的梁。具体地说，它的位移和截面转角是独立插值的，而不是由位移的导数来求得。

就是对于梁的高度较大，铁木辛柯梁是考虑剪切的梁，欧拉梁（Euler–Bernoulli beam）是材料力学里讲的梁，忽略剪切作用。铁木辛柯梁主要考虑剪切变形，而且位移和转角是独立的，不是通过位移导数求得。欧拉梁基于平截面假定，弯曲是主要变形，忽略剪切变形的影响，其计算公式通过平衡微分方程得到，而非变形协调方程。

The model takes into account shear deformation and rotational inertia effects, making it suitable for describing the behavior of short beams, sandwich composite beams or beams subject to high-frequency excitation when the wavelength approaches the thickness of the beam.

Example of simply support beam in Timoshenko beam theory

and the free end is at . If a point load is applied to the middle of beam in the positive direction there are some equation:

Therefore, from the expressions for the bending moment and shear force, we have

Integration of the first equation, and application of the boundary

condition at , leads to

The second equation can then be written as

Integration and application of the boundary condition at gives

The axial stress is given by