Imagine a typical chair, with legs perpendicular to the seat. It must support 135kg. The two front legs act as two supports. Instead of the back two legs, there is one support. This one support must be between the middle of the chair and where the two back legs would be. What calculations could I carry out to work out the load on each support for when the back leg is in different positions? Thanks!
Can we look at the cautions and exceptions to this model? First of all the back legs in a normal chair are not at the back of the seat but extend out further so they are under the top of the back of the chair or further. In addition, the center of mass of someone sitting in a chair is not in the center of the chair but is close to the bottom of the tilted back where the hip bones support the upper half or more of the body weight. Having said that, change the specifications so the 135kg is centered on the chair seat and the single support is moved in various locations from that center away from the front legs (and the chair itself has no weight) The distance from the front legs to the middle is D and the seat is 2D deep. The distance from the middle to the rear support is X and varies from 0 to D. When X is 0, then entire weight is on the rear support. When X is D, then half the weight is on the front legs and half on the support. Therefore the amount of weight in any position is F = 135 * (D / (D + X)) When X =0, D/D+0 = 1 When X =D, D/D+D = 1/2
