Axial Strain Energy
Axial Strain Energy
A stretched member stores elastic energy, released if it fails suddenly — important for tie-rods, bolts and cables.
The axial strain energy is U = F²·L/(2·A·E). where F is the axial force, L the length, A the area and E the modulus.
Inputs
F := 50 kN=50000 N
L := 2 m=2 m
A := 500 mm^2=5e-04 m^2
E := 200 GPa=200000 MPa
Apply the axial strain-energy formula.
U := F^2·L/(2·A·E)=25 Nm
Results
This is the area under the force–extension line. A stiffer or shorter member stores less energy for the same load, releasing less if it snaps.
Assumptions & limitations
- Linear-elastic, prismatic member.
- Uniform axial stress.
- No buckling or stress concentration.