5._Shear_of_Beams_Closed_CS_-_Hw_5_b

# 5._Shear_of_Beams_Closed_CS_-_Hw_5_b - AERSP 301 Shear of...

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AERSP 301 Shear of closed section beams Jose Palacios

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Shear of closed section beams Consider the closed section beams subjected to shear loads S x and S y that cause bending stresses and shear flows Equilibrium relation: y x z S x S y S
Shear of closed section beams Shear of closed section beams As with the open-section beam: Unlike the open-section case – you start at an open end, s = 0, q = 0 – it is generally not possible to choose an origin for s at which the shear flow is known. Assume that for the origin chosen (s = 0), shear flow has value q s,o (unknown).

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Shear of closed section beams Shear of closed section beams First two terms on the RHS represent shear flow in an open section beam loaded through its shear center . Call that q b (“basic” shear flow) q b is obtained by introducing a cut at some convenient point in the closed section, thereby converting it to an open section The value of shear flow at the cut (s = 0) is found by equating applied and internal moments about some convenient moment center.
Shear of closed section beams Shear of closed section beams The value of shear flow at the cut (s = 0) is found by equating applied and internal moments about some convenient moment center. From the figure A – enclosed area

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Shear of closed section beams Shear of closed section beams If moment center is chosen to coincide with the lines of action of S x and S y then: Above equation can be used to obtain q s,o This expression can be used to find the shear center: Needed in problem 2 Hw 3 A ds q p q b s 2 0 , =
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## This note was uploaded on 10/28/2009 for the course AERSP 301 at Penn State.

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5._Shear_of_Beams_Closed_CS_-_Hw_5_b - AERSP 301 Shear of...

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