Rod Bending Force Calculator
Enter the values of stress, S(Pa), moment of inertia, I(m4), distance from the neutral axis to the outermost fiber, y(m) and length of the rod, d(m) to determine the value of force, F(N).
Rod Bending Force Formula
The formula for rod bending force is utilized to determine the force required to bend a rod, considering the section modulus, moment of inertia, the distance from the neutral axis to the outermost fiber (radius of curvature), and the length of the rod.
Force, F(N) in Newtons, is calculated by multiplying the stress, S(Pa) in pascals, with the moment of inertia, I(m4) in metres to the fourth power and dividing by the product of the distance from the neutral axis to the outermost fiber, y(m) in metres and the length of the rod, d(m) in metres.
Force, F(N) = S(Pa) * I(m4) / y(m) * d(m)
F(N) = force in Newtons, N.
S(Pa) = stress in Pascals, Pa.
I(m4) = inertia in metres to the fourth power, m4.
y(m) = distance in metres, m.
d(m) = length of the rod in metres, m.
Rod Bending Force Calculation:
- Calculate the force required to bend a steel rod, where the stress is 300 MPa, the moment of inertia is 1.2*10-6 m4, the distance from the neutral axis to the outermost fiber is 0.01 m, and the length of the rod is 2 m.
Given: S(Pa) = 300MPa, I(m4) = 1.2 * 10-6, y(m) = 0.01m, d(m) = 2m.
Force, F(N) = S(Pa) * I(m4) / y(m) * d(m)
F(N) = 300 * 10-6 * 1.2 * 10-6 / 0.01 * 2
F(N) = 18000N.
- Force =10000N, Stress =200 * 10-6 Pa, Moment of inertia = 1.5 * 10-6,
Distance from the neutral axis to the outermost fiber =0.02m. Find the length of the rod.
Given: S(Pa) = 200 * 10-6 Pa, I(m4) = 1.5 * 10-6, y(m) = 0.02m, F(N) = 10000N.
Force, F(N) = S(Pa) * I(m4) / y(m) * d(m)
d(m) = S(Pa) * I(m4) / y(m) * F(N)
d(m) = 200 * 10-6 * 1.5 * 10-6 / 0.02 * 10000
d(m) = 1500m.