Two parts are assembled as shown in the figure below. Assume that the dimensions x and y are normally distributed with means µx and µy and standard deviations x = 0.4 and oy = 0.3 respectively. The parts are produced on different machines and are assembled at random. (a) If it is desired that the probability of the clearance (i.e., x - y) smaller than 0.09 should be 0.006, (i.e. Pr{(x-y)<0.09} = 0.006) What value of (x-μy) should be specified? (b) Based on the results (x-μy) obtained in (a), calculate the probability that the clearance is greater than 0.

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.