JMHdesign,
This is why I said above that you need to consider torsion. In ideal situations, the load would be applied directly through the shear center as you have drawn. However, in real life that is not possible all the time. Even if steel beams frame into the W10X26 webs, they still have eccentricities that would cause torsion (or biaxial bending). Most engineers ignore these moments if they are too small. However, they can creep up on you can be cause significant stress increases. In my practice I avoid torsion as much as I can by preventing it.
Regarding your question about what keeps the flange from separating from the web, well good observation. You need to consider your loads and make sure this does not happen. The code dictates how much stress you are allowed on steel beam and they leave enough margins that is called safety factor.
The flange to web zone will see the following loads/stresses:
1. Direct vertical shear
2. flexural stress due to bending moment from 2X10 bending moment
3. Torsional stress if one side exerts higher load than the other side
You need to combine the effects of the above stresses and determine there maximum stress in the zone/area.
This application is not unique to your situations. I have designed many overhead cranes and monorails. The trolley wheels travel on the beam flanges and load them in identical manner as yours are loaded. You need to keep the actual stresses at or below the code allowable stresses. As n engineer, I have made judgment call in the past where I exceeded the allowable stress by as much as 10%. I did that based on the following:
1. My computed loads are based on theoretical maximum loads.
2. I had knowledge in real life that the probability of reaching/achieving these maximum loads is highly unlikely.
Now I like to comments about your use of software:
1. Be careful using software. You need to understand how it works, its accuracy and most impotently you need to know the governing codes. You also need to be able to interpret the input and output parameters. I can give you simple example regarding unbraced length of the members that you have in your example (steel and 2X10). What did you use? On the 2X10 did you use repetitive member use? When modeling the W10X26, did you load it uniformly or place the 2X10 end reactions as point loads? Did you assume that the W10X26 full length was unsupported? All of these assumptions and conditions will give you various results.
I hope since you stated that you are no an engineer that you do not offer your cal cautions for real life use!
Regards
Lutfi