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
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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.
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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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