During a building inspection, the inspector finds that floor joists are notched incorrectly. According to Michigan Building Code, what is the maximum depth a notch can be cut in the end third of a floor joist?
Correct Answer
D) 1/4 of the joist depth
Michigan Building Code allows notches up to 1/4 of the joist depth in the end third of the span, provided the notch is not in the middle third where bending stresses are highest.
Why This Is the Correct Answer
Michigan Building Code (aligned with IRC R502.8) permits notches in the end third of a floor joist up to 1/4 of the joist depth. This is allowed because the end zones experience primarily shear stress, and a 1/4-depth notch does not critically compromise structural integrity at these locations.
Why the Other Options Are Wrong
Option A: 1/2 of the joist depth
1/2 of the joist depth is far too deep for any notch location. Notching more than 1/4 of the depth, even in the end third, significantly weakens the joist and is not code-compliant. This depth is not permitted anywhere along the joist.
Option B: 1/6 of the joist depth
1/6 of the joist depth is the limit for notches in the middle third of the joist span (the most stressed zone), not the end third. Mixing up the regions and their associated limits is a common error.
Option C: 1/3 of the joist depth
1/3 of the joist depth is not a permitted notch depth in any zone under Michigan Building Code. This value falls between the 1/4 limit (end third) and 1/2 — neither of which represents the correct rule for the end third.
Memory Technique
Use the rule 'Ends = Quarter, Middle = Sixth.' The middle is more restricted because that's where beams bend the most — think of a ruler bending in the center. End thirds see mostly shear, so a slightly deeper cut (1/4) is allowed.
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