Answer:
To calculate the strain energy stored in the bar, we need to use the formula:
Strain energy = (1/2) * stress * strain * volume
First, let's calculate the stress on the bar. The stress formula is given by:
Stress = Force / Area
Given that the load on the bar is 10 kN, we can convert it to newtons:
Force = 10 kN = 10,000 N
To calculate the area of the circular cross-section, we need to know the diameter or radius of the bar. If you have that information, please provide it.
Once we have the area, we can calculate the stress. The strain is related to stress through Hooke's Law, which states:
Strain = Stress / Young's modulus
Given that the Young's modulus (E) is 2.1 x 10^7 N/mm², we need to convert it to N/m²:
E = 2.1 x 10^7 N/mm² = 2.1 x 10^10 N/m²
With the stress and strain calculated, we can then determine the volume of the bar. Again, we need the dimension (length) of the bar.
Once we have all these values, we can substitute them into the strain energy formula to calculate the strain energy stored in the bar.