Problem $4\mathrm{.}14$

The post is made of Douglas fir and has a diameter of $100mm.($Figure $1)$ It is subjected to the load of $20kN$ and the soil provides a frictional resistance distributed around the post that is triangular along its sides; that is$,$ it varies from $w=0k\frac{N}{m}$ at $y=0m$ to $w=13k\frac{N}{m}$ at $y=2m.$ Neglect the weight of the post.

Part A

Determine the force $F$ at its bottom needed for equilibrium.

Express your answer to three significant figures and include appropriate units.

Correct

Part B

What is the displacement of the top of the post A with respect to its bottom $B?$

Express your answer to three significant figures and include appropriate units.

${}_{\frac{A}{B}}=$

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