BridgeMan
Well-Known Member
- Joined
- Aug 10, 2011
- Messages
- 744
- Reaction score
- 81
Thanks, joecaption, for furnishing the link to the span tables and mentioning how ineffective cross-bracing is for reducing joist deflections. But you haven't presented anything showing the example numbers I presented in Post 18 are incorrect.
To summarize those numbers--for a typical floor joist, the amount of vertical deflection caused by applied loads can be cut in half by simply adding a flat 2 x 4 to the bottom of that joist. For the example I used (a 10', 2 x 8 joist with a 10,000 lb. concentrated load in the center), the actual deflections are 4.198" (without the 2 x 4) and 2.112" (with a 2 x 4). In summary, the difference is a factor of 4.198 divided by 2.112, or 1.99. Pretty close to 2 when rounded (or twice as much deflection without the 2 x 4 flitch plate on the bottom).
Let me try to explain the concept in a different way--the next time you are out and about, driving your vehicle on public highways, take a look at the shape of each girder on steel bridges you drive under. You'll notice the girders are almost always shaped like an "I". This particular shape has been used for more than 90 years because of its ability to economically resist applied loads, while minimizing vertical deflections caused by those loads. And the lower flange of each girder (the flat, horizontal part on the bottom) is what enables each girder to resist heavy loads applied to the span. By itself, the flange would be useless in resisting loads (it would bend and deflect, just like the flat 2 x 4 you mentioned). But because it's attached to the rest of the girder, it becomes integral with the overall member, enabling the member to withstand loads. And if we take a closer look at the lower half of a typical girder, you'll notice how it resembles an inverted "T".
Which is the same shape as a floor joist with a flat 2 x 4 on its bottom. Acting just like the bottom half of a highway bridge girder, carrying its applied loads safely and without abnormal deflections.
To summarize those numbers--for a typical floor joist, the amount of vertical deflection caused by applied loads can be cut in half by simply adding a flat 2 x 4 to the bottom of that joist. For the example I used (a 10', 2 x 8 joist with a 10,000 lb. concentrated load in the center), the actual deflections are 4.198" (without the 2 x 4) and 2.112" (with a 2 x 4). In summary, the difference is a factor of 4.198 divided by 2.112, or 1.99. Pretty close to 2 when rounded (or twice as much deflection without the 2 x 4 flitch plate on the bottom).
Let me try to explain the concept in a different way--the next time you are out and about, driving your vehicle on public highways, take a look at the shape of each girder on steel bridges you drive under. You'll notice the girders are almost always shaped like an "I". This particular shape has been used for more than 90 years because of its ability to economically resist applied loads, while minimizing vertical deflections caused by those loads. And the lower flange of each girder (the flat, horizontal part on the bottom) is what enables each girder to resist heavy loads applied to the span. By itself, the flange would be useless in resisting loads (it would bend and deflect, just like the flat 2 x 4 you mentioned). But because it's attached to the rest of the girder, it becomes integral with the overall member, enabling the member to withstand loads. And if we take a closer look at the lower half of a typical girder, you'll notice how it resembles an inverted "T".
Which is the same shape as a floor joist with a flat 2 x 4 on its bottom. Acting just like the bottom half of a highway bridge girder, carrying its applied loads safely and without abnormal deflections.