A beam has the singly symmetrical thin-walled cross section shown in the figure. The thickness t of the wall is constant throughout. Show that the distance of the shear center from the web is given by p?sina cosar S — & 1+6p +2p3sin’a where p=d/h A beam has the singly symmetrical thin-walledcross section shown in the figure. The thickness tof the wall is constant throughout. Show that thedistance of the shear center from the web is givenbyp sina cos oŠs = -d-1+6p+2p3 sin² awherep=d/hd/2 -d/2

FBD for the given diagram: The share center S lies on the horizontal axis of symmetry , Gz.Applying…

A beam has the singly symmetrical thin-walled cross section shown in the figure. The thickness t of the wall is constant throughout. Show that the distance of the shear center from the web is given by p2 sina cosa 1+6p+2p3 sin? a $s = -d- where 4/p=d h d/2 d/2

A beam has the singly symmetrical thin-walled cross section shown in the figure. The thickness t of the wall is constant throughout. Show that the distance of the shear center from the web is given by p2 sina cosa 1+6p+2p3 sin? a $s = -d- where 4/p=d h d/2 d/2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.10.10P: A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum...

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Question

A beam has the singly symmetrical thin-walled
cross section shown in the figure. The thickness t
of the wall is constant throughout. Show that the
distance of the shear center from the web is given
by
p sina cos o
Šs = -d-
1+6p+2p3 sin² a
where
p=d/h
d/2 -
d/2

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