A concrete has a height of 5m, as unit area of 3m^2 and support a mass of 30,000kg.Given that acceleration due of gravity(g=10m/s^2) and young modulus of concrete =20×10^9N/M^2. Determine the

1. Stress
11. Strain
111. Change in height

A concrete has a height of 5m, as unit area of 3m^2 and support a mass of 30,000kg.Given that acceleration due of gravity(g=10m/s^2) and young modulus of concrete =20×10^9N/M^2.

Answer of the qiestion

Yes

0.025 Solution

Really helpful and excellent solutions

To determine the stress in the concrete, we can use the formula:

Stress = Force/Area

The force on the concrete is the product of its mass and the acceleration due to gravity:

Force = mass * acceleration due to gravity
Force = 30,000kg * 10m/s^2
Force = 300,000N

Given that the unit area is 3m^2, the stress can be calculated as follows:

Stress = 300,000N / 3m^2
Stress = 100,000N/m^2

Therefore, the stress in the concrete is 100,000N/m^2.

To determine the strain in the concrete, we can use the formula:

Strain = Change in length / Original length

In this case, the change in length is the change in height, and the original length is the height of the concrete. Since the concrete only supports a mass and is not subjected to any external force, there is no change in height or strain. Thus, the strain in the concrete is 0.

To determine the change in height of the concrete, we can use the following formula:

Change in height = (Stress * Original height) / (Young's modulus)

Given that the stress is 100,000N/m^2, the original height is 5m, and the Young's modulus is 20x10^9 N/m^2, we can calculate the change in height as follows:

Change in height = (100,000N/m^2 * 5m) / (20x10^9 N/m^2)
Change in height = 0.000025m

Therefore, the change in height of the concrete is 0.000025m.