stress in plates
stress in plates
(OP)
Two steel plates 12" x 12" x 0.75" are welded to a third plate 12" x 28" x 0.75" such that they essentially form the shape of a WF beam 28" deep 12" long with 12" flanges. The bottom flange is welded or bolted to a structure below. An axial horizontal load is applied to the end of the top flange and web. How would you calculate the max tension and shear stress in the plates.






RE: stress in plates
Chances are one of those factors will control before shear in the plates.
RE: stress in plates
If the applied load is F, the maximum shear stress at the middle of the web is 3/2 * F/A = F/6.
Moment in the junction of web to bottom flange is F*28, so maximum fiber stress in web = F*28/18 = 1.555F.
Stresses in the bottom flange will depend on how it is welded or bolted to the structure below. An exact elastic solution is not straightforward because the section being analyzed is too close to the applied forces. Finite element analysis techniques would be needed if an exact solution is required.
BA
RE: stress in plates
RE: stress in plates
What do you get, rittz?
BA
RE: stress in plates
does "horizontal" mean "axial" ? so you have a WF 28" deep, 12" wide, 12" long; anilled to the rest-of-the-world along the bttm flange; and with an axial load applied to the upper flange.
start (as always) with a free body diagram. where's the load ? where's the force reaction ? is there another reaction (a couple) to maintain moment equilibrium ?? once you see this who should be a long way along to answering your own questions.
RE: stress in plates
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