Problem Set PS$3$

Elevated Platform

Problem Statement

Refer to the plan and cross section detail provided to design the required platform components. The lumber components' allowable stress values are $F_b=1,400$ psi and $F_v=80.$ The steel girders and columns are A$36$ steel. Consider the top flanges of the girders to be continuously supported by the wood joists. Use $\mathrm{.}60f_y$ for bending and $\mathrm{.}4f_y$ for shear. The uniform loading is $250$ psf$.$ Deflection is limited to $\frac{L}{360}.$ Show all work on the official comp sheets.

Section A $-$ A

What size $2"$ joists are required?

Is a nominal $2^{\text{'}\text{'}}$ plank acceptable?

Select a suitable W shape beam for this arrangement.

What is the most economical size pipe column?

What is the platform's maximum deflection if $E=1\mathrm{.}7{10}^6?$ Is it less than $\frac{1}{360}$ of the span? $($Be sure to check girders, joist, and planks$)$

What is the total loading $($TL$)$ at each footing?

What other systems$/$components should be included in the design and construction of this platform? What are the most critical considerations?

Platform Plan