Steel beam question When a steel b
Steel beam question When a steel b
(OP)
Steel beam question
When a steel beam deflects under load, the bottom flange is in tension abd the top flange in compression. How would I calculate the (admitedly small) increase in length of the bottom flange, and coresponding decrease in length of the top flange?
When a steel beam deflects under load, the bottom flange is in tension abd the top flange in compression. How would I calculate the (admitedly small) increase in length of the bottom flange, and coresponding decrease in length of the top flange?






RE: Steel beam question When a steel b
The deflection is at the centerline of the beam where the length does not change. Integrate the deflection equation two more times to get the rotation angle, and use trig to add/delete the increase/decrease to the centerline distance.
Mike McCann
MMC Engineering
http://mmcengineering.tripod.com
RE: Steel beam question When a steel b
Cheers
Greg Locock
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RE: Steel beam question When a steel b
If the strain is not constant from end to end, the strain is eav*L where eav is the average strain in the bar. The change in length of a flange of a beam under load is eav*L.
eav depends on the moment variation. If a beam has equal and opposite end momenta 'M'. the unit strain is constant throughout the length. Then e = My/I where y is the distance from the centroid to the center of the flange. Change in length would be e*L.
If the beam has a concentrated load at midspan, the moment varies from 0 at each support to PL/4 at midspan. Unit strain in each flange varies from 0 at each support to PL*y/4EI. Total strain is PL*y*L/8EI.
For other load distributions, the total change in length of a flange may be found by integrating e*dx over the full span.
BA
RE: Steel beam question When a steel b
RE: Steel beam question When a steel b