Question

Problem 2 (20pts) A plane stress cantilever (with unit thickness and rectangular cross-section) is uniformly loaded as shown below. The stresses with in the beam are approximated as, 2h3 +3h2 y21 Here is the moment of inertia, Г-8h3/12. Show the above stress field satisfies the 2D stress equilibrium equations. (a) (b) Show oy satisfies BC, i.e., o, - 0 (c) 2h along y--Й, T--w along y-h. Does ơ, satisfy BC along x-0 (left end plane)? What is net force in the x direction over this plane? (i.e., integrate o). (d) Compute the net moment along x - L by integrating "oy" over this plane. Also what is the moment according to the simple beam theory? Extra Credit (up to 15pts What is the Airy stress function Ф(x, y) corresponding to these stress components?

only do extra credit bottom question, thumbs up for neat and step by step solution

Answer 1

aSSuia above giver o.I 3 j K-L X 0

10,工 imda an 0 Salisi

1 2 oi 2. δス.

@b Net moment alora χ. L 31 쁩i (se.») @g].非唱 3IXs 2 LOL 2- 3T 1 2 OL 2 moment accoding to simple bedi Lw 2