Calculating Deflection and Shear Flow in Riveted Beams

[lg11656]

Homework Statement

A beam loaded by a central point load deflects a quantity, e.g. d. If an identical beam is laid on top of the first beam and the same loading is applied the deflection drops to d/2. In this loading situation the ends of the beam are not aligned. When the beams are joined together (e.g. by rivets) the deflection reduces further by a factor of four to 0.125d. The ends of the beams are aligned during the bending process.
The beams need to be sized and the number of rivets needs to be decided on. In addition the deflection of the singe beam, double non rivetted beam and rivetted beam need to calculated. The maximum shear flow experienced in the beams and in the rivets needs to be calculated.

For material properties use:
E 12GPa
ts 35-55 MPa


What is the shear flow when there is only one rivet?
What is the shear flow in two longitudinally symetrically placed rivets?
Can you design this experiment so that the shear connectors break?

Homework Equations

The Attempt at a Solution

Say the beam was 1m long with a cs of b=0.2, d=0.05, I've calculated the deflection but struggling with the rest of it; shear flow and calculation involving rivets. Any help would be greatly appreciated.
Thanks

 

[PhanthomJay]

If you're working with numerical values, you left out a lot of data. Beyond that, you should be familiar in these type of bending problems with the maximum longitudinal shearing stress calculation as a function of the transverse shear and beam geometric properties. Are you? (Hint: think 'Q').