The present disclosure relates to methods for assembling elastomeric laminates, wherein elastic material may be stretched and joined with either or both first and second substrates. A first beam is rotated to unwind a first plurality of elastic strands from the first beam in the machine direction. The first plurality of elastic strands are positioned between the first substrate and the second substrate to form the elastomeric laminate. Before the first plurality of elastic strands are completely unwound from the first beam, a second beam is rotated to unwind the second plurality of elastic strands from the second beam. Subsequently, the advancement of the first plurality of elastic strands from the first beam is discontinued. Thus, the elastomeric laminate assembly process may continue uninterrupted while switching from an initially utilized elastic material drawn from the first beam to a subsequently utilized elastic material drawn from the second beam.