Section and plastic modulus of built up members

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Determining the section modulus of a built-up member composed of a W and WT shape welded together about the x-axis is complex. The properties for individual sections are available in the steel manual, but they cannot simply be added together due to the lack of symmetry about the x-x axis. A manual calculation is necessary to accurately determine the section modulus. This involves considering the geometry and distribution of the material in the built-up section. Therefore, a straightforward method for this specific configuration does not exist.
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is there a simple way to determine the section modulus of a member made of a W and WT shape welded together, one on top of another about the x-axis. the steel manual has the properties for the individual sections; would the section modulus of each be able to be added together or will i have to calculate it by hand because it's not symmetric about the x-x axis
 
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never mind, pretty sure it has to be all calculated by hand
 

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