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对于截面尺寸较大的梁,当自身温度发生变化时,即使无外部约束也可能产生较大的温度应力,甚致引起温度裂缝。考查一般工程中的梁,除均质的矩形截面梁外,有的弹性模量随高度而变化(如复合材料梁);有的截面宽度随高度而变化(如梯形、T字形和工字形断面梁);有的兼而有之(如分层浇筑的船坞坞墙、水闸闸墙等)。所以,研究非均匀变宽度梁的温度应力具有现实意义。国内外学者在这方面的研究工作中,已得出一些重要成果。在文献[3]中,推导了截面宽度和弹性模量都为y的函数,而
For a beam with a large cross-section size, even when there is no change in its own temperature, even if there is no external constraint, a large temperature stress may occur, even causing temperature cracks. Examining the beams in general engineering, in addition to the homogenous rectangular cross-section beams, some of the elastic moduli change with height (such as composite beams); some of them vary in width (such as trapezoidal, T-shaped, and I-shaped sections) Liang); some combination (such as layered docking dock wall, sluice gate wall, etc.). Therefore, it is of practical significance to study the temperature stress of nonuniformly widened beams. Domestic and foreign scholars have drawn some important results in this research work. In [3], the function of the cross-section width and the elastic modulus as y is derived.