The maximum depth of a notch in the end of a floor joist is _____ of the depth of the joist.

The correct answer is that the maximum depth of a notch in the end of a floor joist is 1/4 of the depth of the joist. This guideline is based on structural engineering principles that ensure the integrity and strength of the joist while allowing for some modifications during construction.

Notching a floor joist reduces its effective cross-section, which can lead to a decrease in the load-carrying capacity if not done correctly. Allowing a maximum notch depth of 1/4 ensures that enough material remains to support the intended loads without compromising the structural integrity of the joist. This limitation is a common construction practice meant to prevent failures that could occur if too much material is removed.

Other options suggest greater depths of notching, such as 1/2 or 3/4, which would significantly weaken the joist. A notch deeper than 1/4 could lead to a risk of structural failure, especially under dynamic or heavy loads, since the reduced cross-section may not be able to adequately support the stresses involved. The limit of 1/8 is too restrictive and doesn't allow for necessary alterations in practical situations where notching is required for installation of utilities or for fitting within a structure. Thus, 1/4