# Bending of cantilever beam

## Homework Statement ## The Attempt at a Solution Is my work correct?

nvn
Homework Helper
temaire: I do not know if part (a) is correct, because I do not remember the formula. I will let someone else check part (a).

Your answer for part (b) currently looks correct. In part (c), you currently computed only the y-direction deflection and rotation, which are correct. But I think you now might also need to compute the z-direction deflection and rotation.

You accidentally typed 877, instead of 866, although you did not use it.

By the way, kN/m^2 is called kPa. Always use the correct, special name for a unit. E.g., 7214 kPa, not 7214 kN/m^2. However, it is better if you use 7.214 MPa, instead of 7214 kPa.

I've calculated the deflection and rotation of the beam in the z-direction.

I know that the total deflection of the beam is the resultant of the deflections in the y and z directions, as shown

$$\delta = \sqrt{u^2 + v^2}$$

where $u$ is the deflection in the z-direction and $v$ is the deflection in the y-direction.

However, how do I find the resultant rotation? Do I simply use the above formula and just switch $u$ and $v$ with the $\theta_y$ and $\theta_z$?

nvn