In Chapter 4.2 of Solid Mechanics I, we used the flexure formula to calculate the bending stress due to moment in one-direction.
Here we will extend that formula to compute the bending stress from moments in two-direction:
In Chapter 4.2 of Solid Mechanics I, we used the flexure formula to calculate the bending stress due to moment in one-direction.
Here we will extend that formula to compute the bending stress from moments in two-direction:
Due to two-directions of moments being applied, the neutral-axis (line of zero stress) tilts from the horizontal axis:
The orientation of the neutral-axis from the horizontal is set as ‘α’, and to get the formula for α we set σ_{b} = 0 (since the bending stress is zero at the neutral-axis).
Sometimes the moment is given in terms of its magnitude and direction. In that case:
Let’s look at an example now.
Due to two-directions of moments being applied, the neutral-axis (line of zero stress) tilts from the horizontal axis:
The orientation of the neutral-axis from the horizontal is set as ‘α’, and to get the formula for α we set σ_{b} = 0 (since the bending stress is zero at the neutral-axis).
Sometimes the moment is given in terms of its magnitude and direction. In that case:
Let’s look at an example now.