The change in the length of a rod due to axial force P is given by

where L is the length of the rod, P the applied axial force, A the cross-sectional area of rod, and E the modulus of elasticity. Using 20 simulation cycles, determine the mean and variance of Δ L assuming noncorrelated random variables with the following probabilistic characteristics:
Random Variable Mean Value Coefficient of Variation Distribution Type P 100 kips 0.35 Lognormal L 20 in. 0.05 Normal E 30,000 ksi 0.10 Lognormal A 1 in.2 0.05 Normal

Transcribed Image Text:

AL PL AE