For floor and ceiling construction surveyors can calculate the size, strength and centres/spacing of joists with reference to the data in these tables Floor joist span tables for surveyors - Floor construction. This is an abridged representation of Building regulations Table A1.
Joist spacing is standard for nonparallel ceiling joists, according to the IRC and building codes in general, although you will have to use ceiling joist hangers to attach the ends of the joists to the load-bearing wall plates that you will be tying into.
Span tables for solid timber floor joists. Tables 1 and 2 in this Appendix are derived from a TRADA Technology Ltd. publication "Span tables for solid timber members in floors, ceilings and roofs (excluding trussed rafter roofs) for dwellings". The section sizes of the floor joists given in Tables 1 and 2 should be regularised, or be ALS or CLS
R802.4 Allowable Ceiling Joist Spans Residential Code 2015 of Utah > 8 Roof-Ceiling Construction > R802 Wood Roof Framing > R802.4 Allowable Ceiling Joist Spans Spans for ceiling joists shall be in accordance with Tables R802.4(1) and R802.4(2). For other grades and species and for other loading conditions, refer to the AWC STJR.
Span Calculator for Wood Joists and Rafters also available for the Android OS. also available for the Android OS.
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