Question

A bronze statue weighing 4 tonnes with a base of area 0.8 m2 is placed on a granite museum floor. The yield strength of the bronze is 240 MPa. What is the true area of contact, between the base and the floor?

Answer 1

true area of contact is 1.7 *
`10^(-4)` m²

Step-by-step explanation:

Given data

mass (m) = 4000 tonnes

yield strength = 240 MPa i.e. = 240 *
`10^(6)`

base area = 0.8 m²

To find out

the true area of contact

Solution

we have given yield strength and weight

so with we can find contact area directly we know that

area is equal to weight / yield strength

so we will put weight and yield strength value in this formula

and weight = mass * 9.81 = 4 * 9.81 = 39.24 tonnes = 39240 N

area = weight / yield strength

area = 39240 / 240 *
`10^(6)`

true area of contact = 1.7 *
`10^(-4)` m²