What do we know?
Mass of structure = 6.00 X 10^{4} kg
Crosssectional Area of column = [2.50 X 10^{1} m]^{2} = 6.25 X 10^{2} m^{2}
Length of column = 3.00 m
Young's Modulus of Greenheart Wood = 2.00 X
10^{10} Nm^{2}
Crosssectional Area of concrete base = [1^{} m]^{2} = 1 ^{} m^{2}
Length of sand column = 2.00 m
Young's Modulus of Sand = 5.00 X
10^{7} Nm^{2}
What can we infer?
W = mg, where am is the mass of
the object.
Weight of structure W_{s}= 6.00 X 10^{4} N
Weight on each column W_{c}= 5.00 X 10^{5} N
Weight on each column + concrete base W_{c+b}= 5.00 X 10^{5} N
Plan to solve:
We know Stress = [^{[Force]} / _{[Cross Sectional Area]}]
Young's Modulus = [^{[Stress]} / _{[Strain]}]
Strain = [^{[ΔL]} / _{[L]}]
So we can get ΔX if we calculate Strain
