ment will
Euler's equation helps us determine the maximum compression for various plate thicknesses before
buckling occurs. The equation we use to determine the critical buckling load is:
Pa
The values of the variables in Euler's equation are based on the chemical composition, lengths, and
thicknesses of the metal. For this parking structure, we will use the following values based
on the steel selected by the consumer.
1 = stiffness =
A
= area = bt
El
E = modulus of elasticity (material strength) =
bt³
12
Ľ
for plates
a. Find
b=width of the brace
t-thickness
L = length of compression zone = 24 inches
b=width of brace = 18 inches
t = steel plate thickness
29,000 kips
for steel
I
POR
in terms of t. (plug in our expressions that use t and all of our numbers)