A new method of plastic limit analysis for rectangular plates

Based on a new element model of solid body, the plastic limit analysis of plate is carried out. The new element model is a truss composed of 24 bars. Taking the simply supported square plate and rectangular plate under uniform load as an example, by comparing the new element method with the classical plastic limit analysis theory, it can be found that the limit load and the distribution of plastic zone obtained by the two methods are in good agreement. Moreover, the new element method can find out the development process of solid plastic zone and the load-displacement curve, which is difficult to get by the classical plastic limit analysis theory. The yielding of the bottom of the square plate is developed from the cen-ter of the plate to four corners along the diagonal line, and the limit load is reached. The yielding of the bottom of the rectangular plate extends from the middle of the plate to the two ends parallel to the long side, and then extends along the direction of the oblique line of about 450 angles to the four corners of the plate, finally, the limit load is reached.

Supplemental Videos:

(1) https://www.bilibili.com/video/BV1s841147CZ/?spm_id_from=333.999.0.0

(2) https://www.bilibili.com/video/BV1a24y1o7r5/?spm_id_from=333.999.0.0

(3) https://www.bilibili.com/video/BV18B4y1J7Zi/?spm_id_from=333.999.0.0

(4) https://www.bilibili.com/video/BV1Tt4y1w7S9/?spm_id_from=333.999.0.0

(5) https://www.bilibili.com/video/BV1Tt4y1w7XT/?spm_id_from=333.999.0.0

(6) https://www.bilibili.com/video/BV1Mg411e7vs/?spm_id_from=333.999.0.0

(7) https://www.bilibili.com/video/BV1Yg411e7xr/?spm_id_from=333.999.0.0