A box that weighs 200N is sitting on an inclined ramp. The weight is assumed to act at the centroid of the box. A rope is attached to the box and passes over a stationary drum. Both of these surfaces have static friction coefficients as shown in the diagram. A) What is the minimum force, P, is required to prevent the box from moving down the ramp? B) If the rope were to be cut, would the box slip or tip down the ramp or would it stay in equilibrium? Support your decision with all appropriate diagrams/work/equations necessary. P UDARAUNIVE HB 0.3 B HA=0.15 1.0 m 0.75 m 0.75 m 30°
Design Against Fluctuating Loads
Machine elements are subjected to varieties of loads, some components are subjected to static loads, while some machine components are subjected to fluctuating loads, whose load magnitude tends to fluctuate. The components of a machine, when rotating at a high speed, are subjected to a high degree of load, which fluctuates from a high value to a low value. For the machine elements under the action of static loads, static failure theories are applied to know the safe and hazardous working conditions and regions. However, most of the machine elements are subjected to variable or fluctuating stresses, due to the nature of load that fluctuates from high magnitude to low magnitude. Also, the nature of the loads is repetitive. For instance, shafts, bearings, cams and followers, and so on.
Design Against Fluctuating Load
Stress is defined as force per unit area. When there is localization of huge stresses in mechanical components, due to irregularities present in components and sudden changes in cross-section is known as stress concentration. For example, groves, keyways, screw threads, oil holes, splines etc. are irregularities.
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