Derive an expression for the strain energy of a uniform bar in tension answer
Answers
Explanation:
6. A train travels some distance with a speed of 30 km/h and returns with a speed of 45 km/h . Calculate the average speed of the train .
7. A train 100 m long moving on a straight level track passes a pole in 5 s . Find (a) the speed of the train (b) the time it will take in to cross a bridge 500 m long .
8. A car travels along a straight lion for first half time with speed 40 km/h and the second half time with speed 60 km/h. find the average speed of the car.
9. A body starts rolling over a horizontal surface with an initial velocity of 0.5 m/s² . Due to friction , its velocity decreases at the rate of 0.05 m/s² . How much time will it take for the body to stop ?
10. A car travelling at 36 km/h speed upto 72 km/h in 5 second. what is it acceleration ? If the same car stops in 20 second , what is the retardation ?
Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.
The strain energy formula is given as,
U = Fδ / 2
Where,
δ = compression,
F = force applied.
When stress σ is proportional to strain ϵ, the strain energy formula is given by,
Strain energy formula
Where,
σ = stress
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program. = strain
V = volume of body
Regarding Young’s modulus E, the strain energy formula is given as,
U = σ2 / 2E × V.
Where,
σ = stress,
E = Young’s modulus,
V = volume of body.