The Design Guide for Steel-Framed Stairway Design, written by Adam Friedman, SE, PE, was recently published by American Institute of Steel Construction. You may purchase a copy or access it here.
In an effort to set clear expectations and provide practical design information for the steel industry related to the framing around stairways and the structural support of stairs themselves. The guide provides information related to the design and layout of steel elements for steel-framed stairways, guards, handrails and related components. Background information regarding stairways, code requirements and design methods is presented, and complete design examples is also included.
https://www.aisc.org/products/publication/design-guide/Design-Guide-34-Steel-Framed-Stairway-Design/