Abstract
In design environment, most of variables and parameters such as loads, strength, sizes and material constants have some randomness and/or in many cases designers can't know exact values of those variables. In such a case, the concept of reliability shoud be included in the design object instead of conventional safety factor. This paper proposes a problem of optimum shape design for 2 dimensional continuum, taking the reliability concept into consideration. When sizes, strengths and outer forces vary according to the normal distribution, such a shape is determined that minimizes the average volume under the constraint of failure probability. In the body with the obtained shape, the probability of failure is uniform.
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