A vertical masonry chimney has a internal diameter d, and an external diameter d,. The base of the chimney is given a horizontal acceleration a m/s, and the whole chimney moves horizontally with this...


A vertical masonry chimney has a internal diameter d, and an external diameter d,. The<br>base of the chimney is given a horizontal acceleration a m/s, and the whole chimney<br>moves horizontally with this acceleration. Show that at a section at depth h below the<br>top of the chimney, the resultant normal force acts at a distance ah/2g from the centre<br>of the section. If the chimney behaves as an elastic solid, show that at a depth g(d,² +<br>d,)/4ad, below the top, tensile stress will be developed in the material. (Cambridge)<br>

Extracted text: A vertical masonry chimney has a internal diameter d, and an external diameter d,. The base of the chimney is given a horizontal acceleration a m/s, and the whole chimney moves horizontally with this acceleration. Show that at a section at depth h below the top of the chimney, the resultant normal force acts at a distance ah/2g from the centre of the section. If the chimney behaves as an elastic solid, show that at a depth g(d,² + d,)/4ad, below the top, tensile stress will be developed in the material. (Cambridge)

Jun 11, 2022
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