Question

6. Figure 5(a) shows a rigid cylindrical pin of diameter d = 30 mm that is connected to a rigid support through an annular rubber bushing of radial thickness t = 5 mm. A horizontal force F is applied to the pin causing it move horizontally through a distance A = 0.2 mm. Figure 5(b) shows the original and deformed configurations of the small ap- proximately rectangular element identified as A in Figure 5(a) by the angle 0. In particular, the edge BC remains fixed, but the edge DE moves to the right through a distance A. Find the components of average strain ez, ty Try in the rotated coordinate system shown. rubber (b) Figure 5

Answer 1

Answer: Pageno Given diagrama, rubber .

Pageno diameter = 30 mm thickness = 5mm distance - 0.amm Then we find the Components of average strain Ex, Ey, Txy in the rotated Coordinate aystem irce F Applied on pin which reservered in a Ex is strain along xaris Ex = ar . . .VER where v is poisson's Ration Tey = Txy . Tx y = x way tange

Pageno G = modulul of Rigidity may tan 28 conao The trausformation of a ..' FAG . c".= stress due to Transformation :Exi m EX ray J

Pagend from the Reverse Matrix REOIO LOO Rt fool Loole E = RARE Ex' = Excos? + {y sim?e + 4xy sine cose Ey' = '{xşinde + Ey coq?e -ray sine lodo fry = 2 (Ey-Ex) simo coş+rxy (cos20-sino) o-