This is related to this question

It is the case of a simple cantilever beam having a uniform rectangular cross-section.

cantilever beam composed of separate planks - taken from http://www.bu.edu/moss/mechanics-of-materials-bending-shear-stress/

The question in the original post was What happens if we split it along its longitudinal axis? @sudhir asked What would happen if the beam was loaded uniformly


1 Answer 1


In the original post the deflection of the coupled beam with the decoupled beam was

$$ \delta_{decoupled, concentrated} = 9 \delta_{coupled,concentrated}$$

If you change to a uniform load then with respect to the relative deflection of the coupled/decoupled would remain the same. i.e. $\delta_{decoupled, uniform} = 9 \delta_{coupled, uniform}$

Of course, the total deflection would be less because the formula for $\delta$ will change(see link ).

Assuming that the distributed load is $w=\frac{P}{l}$ (so that the total load is the same for comparison purposes:

$$\delta_{coupled, uniform} = \frac{w\cdot l^4}{4\cdot I_{coupled}}=\frac{P\cdot l^3}{4\cdot I_{coupled}} = \frac{3}{4} \delta_{coupled, concentrated} $$


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.