Lap Joint Subject To Bending and Shear

This is a lap joint with an offset. I could not find a calculation for this in any reference so I put this together. I have assumed that there will be a vertical shear force caused by the offset load creating a moment about the mid point between the welds (marked with the red dot), as well as a horizontal shear force. 
Alternative approach  it gives the same answer as my method. My thanks to the person that sent this to me.
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