Two Beams have Elastic Modulus E. Beam A is bisected by Beam B. A force F is applied to beam B (at a distance of X away from Beam A). Beam A is a hollow cylindrical beam and B is an I - Beam .
Beam A is fixed at either end. Calculate the deflection due to bending of Beam A.

Question

Two Beams have Elastic Modulus E. Beam A is bisected by Beam B. A force F is applied to beam B (at a distance of X away from Beam A). Beam A is a hollow cylindrical beam and B is an I - Beam . 
Beam A is fixed at either end. Calculate the deflection due to bending of Beam A.

roberts.spurs19 · Answer

I think I am meant to use Ymax= 1/192 *((W*L^3)/EI)) but I am unsure how to get W.
Should I assume that W = F or do I need to take into account the distance between the intersection and the line of action of the force?

roberts.spurs19 · Answer

@welshfella @rvc

welshfella · Answer

I cant be sure - sorry

farcher · Answer

"do I need to take into account the distance between the intersection and the line of action of the force? "
Just think of doing the experiment in your thoughts on the assumptions that both beams ahave fixed ends.  
If the force was exerted very, very close to a support would you expect the deflection to be large, the same or small than if the force was exerted at the point of intersection?

However I am mystified as to the geometry of the situation; are both beams fixed at both ends or only is it only beam A?

Also which elastic modulus are you given?

roberts.spurs19 · Answer

@Farcher Thank you. Only Beam A Is fixed at the ends. We have just been given that both beams have elastic modulus, E. 
Ah ok! So the deflection is altered by distance. How would I work out what force Beam A is receiving then please?

farcher · Answer

Beam B is applying both a torque and a force to beam A.  
The force is F and the torque is Fx but that assumes that the direction of the force is at right angles to the beam.

At what level is this question aimed at?

roberts.spurs19 · Answer

I'm a sophomore in college. I've worked out the torque in a previous part. Just wasn't sure what force to use to calculate the actual deflection of Beam A. 
The Force is at right angles to the beam, was worried because using F seemed too simple.

roberts.spurs19 · Answer

Thank you so much for your help this far. 
I am now calculating the total deflection of bar B. I get that to find it I would add together the deflection of beam B, deflection of beam A and the deflection caused from the tube twisting. My deflection of Beam A is 10^-6 smaller than the deflection of Beam B. Is this correct or have I made a mistake somewhere along the way please?

roberts.spurs19 · Answer

Sorry just realised I had left the Elastic Modulus in Psi instead of converting to N/mm^2
Thank you for all your help!