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Intuitive questions

# Intuitive questions - 1 Try to guess the answer to these...

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1 Try to guess the answer to these questions based on your experience. In some cases do a simple experiment afterwards. How good was your initial guess. The purpose is to cultivate your intuition into the behaviour of deformable struc- tures under load. 1. A 1.5 m wooden beam of 25 mm square cross section is built-in at one end. If you put all your weight on the other end of the beam will it break? What is the longest beam of this cross section that would be strong enough to support your weight? 2. A 2 ft steel bar of 1 / 4 inch diameter is built-in at one end. What lateral load at the other end would be just sufficient to cause permanent deformation of the bar? 3. A wooden plank is 200 mm wide, 25 mm thick and 1.5 m long. It is simply supported at the two ends. How far will it deflect if you stand on it at the centre? 4. A cylindrical log of diameter 12 inches and length 10 feet is floating in water so that the highest point on the cylinder is 2 inches above the water level. If you stand on the log, will you get your feet wet (i) if you stand at the mid point, or (ii) if you stand at one end?

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