A3.0 m tall, 40 cm diameter concrete column supports a 235,000 kg load. by how much is the column compressed? assume young's modulus for concrete to be 3.0 ✕ 1010 n/m2.

The Young modulus E is given by:

where 
F is the force applied
A is the cross-sectional area perpendicular to the force applied
is the initial length of the object
is the increase (or decrease) in length of the object.

In our problem,  is the initial length of the column,  is the Young modulus. We can find the cross-sectional area by using the diameter of the column. In fact, its radius is:

and the cross-sectional area is

The force applied to the column is the weight of the load:


Now we have everything to calculate the compression of the column:

So, the column compresses by 1.83 millimeters.

Answer the above statement is ( false );