## Abstract

This paper presents unified analytical formulas to calculate the vertical temperature difference induced deflection of a prismatic beam with any number of spans. The influences of the structural geometry, material property, and temperature change on the beam deflection are investigated through detailed parametric analysis. A beam with odd-numbered spans has distinct thermal deformation characteristics from that with even-numbered spans. For an equal-span continuous beam, the outermost spans on both ends undergo the largest deformation due to the vertical temperature difference, while the middlemost spans the least. The mid-span deflection of each span converges quickly to the limit value with the increase of the total span number n. The limits for the outermost and middlemost spans are respectively D_{0}·3-1/2 and zero, where D_{0} is the thermal deflection at mid-span of a simply supported beam with the same span length. This study enhances the understanding of the thermal behaviour of beams.

Original language | English |
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Article number | 112366 |

Journal | Engineering Structures |

Volume | 240 |

DOIs | |

Publication status | Published - 1 Aug 2021 |

## Keywords

- Analytical formula
- Beam
- Deflection
- Mechanism
- Vertical temperature difference

## ASJC Scopus subject areas

- Civil and Structural Engineering