Question

give example related in civil engineering on how to use the concept of normal distribution.

Answer 1

if we take some standard example of normal distribution in civil engineering, if a number of concrete cubes. So, one example, is that strength of this concrete, if a number of concrete cube prepared through the identical methods and cured under the identical circumstances are tested for their crushing strength it is observed that their crushing strength is a normally distributed random variable. Now, the crushing strength that is available in at least 95 percent of the sample is called the characteristic strength of the 95 percent dependable strength. You know that example of the characteristic strength for the strength of the concrete is that in the 95 percent cases if we see that the particular strength of that cube is exceeded that is generally, denoted by this crushing strength. Now, that how we can say that this is the 95 percent cases it is exceeded. So, it is if generally, found to follow a normal distribution keeping its mean. And we considered that strength, where it should be exceeded at the 95 percent cases to designate that particular strength to be the characteristics strength of the particular concrete. So, this is how we define that characteristics strength of the concrete cube.