Question

5. Figure 5 shows a door handle that is to be bolted to a rigid vertical surface. The vertical part of the handle comprises a solid cylinder of diameter d and length L that is attached at the ends to rigid brackets that are to be bolted to the wall. The material of the cylinder has density p, Young's modulus E and Poisson's ratio v. Throughout the assembly process, the engineer's assistant supports the whole weight of the handle by grasping it at a distance 0.35L from the top. Then, after all the bolts have been tightened, he lets go. Find the location and magnitude of the maximum tensile stress and the maximum compressive stress in the cylinder. Neglect the weight of the attachment brackets. Figure 5

Answer 1

from the figur we know that the weight of the brackets are negligible. The only force acting an the cylinder is its own weights, so we can oblowed that the uper end of the cylinder as under tensile load and the lower end of the sylinder is under compressive load it will be maxêmem. rom the free body diagramot sylinder RA and RB are reaction at A and B the weight of cylinder W = Px I x x xlxg 3 Now O kAtRgau – en TB Symmetrécity of loading reaction Raard RB Mall be eqreel total deflection will be zerochee to reaction R and Rs that meat give youe same rescelt so R = RB = (1/2) x P x D x x x g. stans will be 5 = 03 - 2a/15/9 xdt = (1/2) p xl x g. is maxêmum tensile & mar compressive they will produce on cylinder