A thin linear elastic strip is clamped at both ends and subjected to a linear stress distribution across its width. We use Kirchhoff beam theory to study this problem. If displacements out of the strips own plane are prohibited, the straight configuration remains stable as long as the compression is not too high. With the three‐dimensional spatial description of the rod theory, we find possible buckling modes even in the case of average tensile stresses in the beam. Comparison with shell and beam finite elements shows excellent agreement with the analytical investigation, also with respect to the supercritical behavior.

中文翻译：

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具有线性预应力分布的带状夹紧梁的屈曲

一条细的线性弹性条的两端被夹紧，并在其整个宽度上承受线性应力分布。我们使用基尔霍夫光束理论来研究这个问题。如果禁止从带材自身平面移出，则只要压缩压力不太高，直线结构就可以保持稳定。通过对杆理论的三维空间描述，即使在梁中具有平均拉伸应力的情况下，我们也可以找到可能的屈曲模式。与壳和梁有限元的比较表明，在超临界行为方面，与分析研究也具有极好的一致性。