LHz =5.For the following performance function and values shown for the variables, determine thesafety index (B) and probability of failure (P). Use the First Order Reliability Method(FORM) by applying the formulas below. Then use the standard normal table provided tofind Pf.Z= f(w,x,y) = w³ x² + xy²-5 w²yFormulas:µz = f(µw, µx, Hy)Oz||mial formula to find the probabiliWB=XyMean (u)32=Oz (OZ / Ow) 2 |μ (ow ²) + (OZ / Ox)² μ (ox ²) + (OZ / Oy)² μ (oy ²)B = μz / OzPf = 1 - F (B)52Std. dev. (o)0.510.5Pf=Enter

The mentioned equation is, Z=f(w,x,y)=w3×x2+x×y2-5×w2×yμz=fμw,μx,μy

Answered: For the following performance function…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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