; $1612/5612$: Structural Concepts

One World Trade, SOM.

James Ewing $/$ archdaily

Q$1.$

This is One World Trade in

lower Manhattan. For the

purpose of your analysis

assume that it is a cuboid $($i$.$e$.$ a

tube shape with all rectangular

sides and ignore the facets and

taper you can see in the photo$)$

$200ft200ft1368ft,$ with $3$

million square feet of floor

space.

Assume the building has a

dead load of $2,000,000$ kips

and a live load averaging $70$

$l\frac{b}{f}{t}^2,$ and that the upper $1000$

$ft$ of the building is subject to

a wind load of $30l\frac{b}{f}{t}^2$

a$)$ Draw a Free Body Diagram for the whole building $($solve for the

reactions at the base.

b$)$ Assuming half the vertical load is carried by the core of the building

find:

i$.$ the Force in any one column around the edge due to the gravity

loads $($state whether the force is tension or compression$).$

ii$.$ the Force in any column on the windward side of the building

due to the wind load $($state whether the force is tension or

compression$).$

iii. the Stress in any column on the leeward side of the building due

to all loads on the building.

c$)$ You ignored the taper of the shape of this building $($which was a

reasonable conservative assumption here$)$ but many tall buildings do

have this taper in shape toward the top of the building. Explain why $(2-$

$3$ sentences, a diagram if necessary$).$